Hijaz Ahmad
57220768187
Publications - 36
Numerical algorithm of fourth-grade nanofluid flow with heat transfer consists of aluminum alloys over a riga plate
Publication Name: Journal of Thermal Analysis and Calorimetry
Publication Date: 2025-10-01
Volume: 150
Issue: 19
Page Range: 15723-15736
Description:
The MHD (magnetohydrodynamic) fourth-grade nanofluid flow consisting of aluminum alloys (Ti6 Al4 V) nanoparticles over a Riga plate is studied. The study of fourth-grade fluids (FGFs) improves the capacity to design systems and procedures for a variety of industries, ultimately promoting performance and the durability of the product. Ti6 Al4 V nanoparticles (NPs) are dissolved in water to prepare the nanofluid. The FGF flow has been analyzed under the impacts of Arrhenius activation energy, heat source/sink, and chemical reaction. The modeled equations (momentum, energy, and fluid concentration equations) are reformed into dimension-free form through similarity conversion. The transform set of ordinary differential equations (ODEs) is numerically solved by using the parametric continuation method (PCM). For accuracy of the results, the outcomes are compared to the published work. The error between the present results and the published study is -0.00028% at M = 5.0 (magnetic parameter), which ensures that the proposed methodology and model are accurate and reliable. From the graphic results, it has been noticed that the velocity field improves with the influence of fourth-grade fluid parameter, cross-viscous coefficient, and third-grade fluid parameter. The thermal profile of NF boosts with the variation in heat source parameters and the rising number of Ti6 Al4 V-NPs.
Open Access: Yes
Heuristic computational approach for nonlinear reaction–diffusion kinetics in catalytic systems
Publication Name: Scientific Reports
Publication Date: 2025-12-01
Volume: 15
Issue: 1
Page Range: Unknown
Description:
The Lane-Emden equations are essential tools for modeling heat and mass transfer, chemical reactions, and various scientific fields. This study focuses on solutions to Lane-Emden equations in chemical engineering. It examines the impact on concentration profiles in both catalyst and biocatalyst systems with cylindrical and spherical geometries. The research proposes a hybrid approach combining a collocation method with genetic algorithms to solve Lane-Emden equations in diffusion-reaction systems. It also investigates how different parameters, such as Thiele modulus (ρ), dimensionless activation energy (µ), and dimensionless heat of reaction (α) affect these solutions. The methodology is effective across both low and high values of ρ, µ, and α. Overall, the results demonstrate the potential to address limitations of previous methods and highlight the strength of the GA-based approach.
Open Access: Yes
AI-neural network modelling of Williamson blood flow in porous medium Soret-Dufour effects with tetra hybrid nanoparticles
Publication Name: International Communications in Heat and Mass Transfer
Publication Date: 2026-02-01
Volume: 171
Issue: Unknown
Page Range: Unknown
Description:
This manuscript delineates a thorough study on the heat and mass transfer phenomenon of the Williamson fluid flow embedded with a tetra-hybrid nanofluid evaluating a wide range of considered and physical effects such as magnetohydrodynamics (MHD), porous medium, radiative heat flux, Joule heating, Soret and Dufour effects, and a Stefan blowing parameter at the boundary, and the rest. A tetra-hybrid nanofluid containing nanofluid gold (Au), silver (Ag), titanium dioxide (TiO₂), and aluminium oxide (Al₂O₃) is used for the improvement of significant thermal and mass transport characteristics. In the back, the demand for efficient thermal systems relates to sets with multiple, integrated transport mechanisms; however, the synergistic transport mechanisms have been largely unexplored, and the coupled hybrid advanced dimensions nanofluids have been unexplored in terms of their combined influences on these parameters. The core target was to examine the active relationships within the physical dynamics parameters while also evaluating the relative increases in the velocity, temperature, and concentration. This paper employs a robust computational approach to the study by solving the governing systems of non-linear ordinary differential equations using an appropriate method of similarity transformation and subsequent numerical techniques. The integration of artificial neural network (ANN) models within this spectrum for the first time, with predictions and optimization set for the outputs, adds a new dimension to this work. The data show that incorporating Soret and Dufour effects, along with the tetra-hybrid nanoparticles, markedly increases the Nusselt and Sherwood numbers, indicating improved heat and mass transfer rates. Furthermore, streamline plots are created to illustrate alterations in the flow structure induced by the Soret and Dufour parameters. This research makes valuable contributions to the development of refined cooling technologies, particularly in energy, chemical, and other process-oriented industries, highlighting the practical utility and innovation potential of the synergistic application of artificial neural networks alongside sophisticated nanofluid models.
Open Access: Yes
Derivation of Hermite–Hadamard-type inequalities via quasi-preinvex functions and strongly preinvex functions
Publication Name: International Journal of Geometric Methods in Modern Physics
Publication Date: 2025-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
Quantum calculus, similar to calculus without limits, is the same as ordinary “infinitesimal calculus”. Quantum Hermite–Hadamard-type inequalities, according to quantum calculus, recently discovered improvements within quantum Hermite–Hadamard-type inequalities. New results about the derivatives and integrals identities related to both qm1 -derivatives and qm2-integrals will be obtained. This research work is motivated by this fact, so using properties of “generalized higher-order strongly preinvex” and “quasi-preinvex” functions, we drive innovative Quantum Hermite–Hadamard-type inequalities. As applications, new Hermite–Hadamard-type inequalities Hermite–Hadamard qm1 -integral and qm2-integral-type inequalities will be obtained. These types of identities are applied to “preinvex functions”. The newly obtained important outcomes are present. The results of these new generalizations are used to assess a variety of mathematical difficulties. These new findings have a huge impact on integrated symmetrical functions and approximations, functions with a symmetric degree. These visions are encouraging new and significant achievements in a wide range of mathematics and engineering disciplines. The generalized strongly “preinvex functions” are the “quasi-preinvex function” studied using “elementary Quantum” Calculus methods.
Open Access: Yes
Bio-signal induced emotion monitoring and detection of anxiety: A sensor-driven approach with regression based random forest
Publication Name: Methodsx
Publication Date: 2025-12-01
Volume: 15
Issue: Unknown
Page Range: Unknown
Description:
The present study addresses the rising importance of mental health by devel oping a novel healthcare plan. We integrate physiological data from sensors, such as Heart Rate (HR) and Galvanic Skin Response (GSR), to predict and manage anxiety. These sensors provide non-invasive insights into the com plex relationship between physiological reactions and mental well-being. To analyze the collected data, we developed a novel algorithm, Regression Based Random Forest (RBRF). Using a large-scale dataset, we empirically validated the effectiveness of our approach, achieving an impressive 95 % accuracy in identifying anxiety. Our findings demonstrate the potential of sensor-based technologies and advanced algorithms to empower individuals to proactively monitor and manage their mental health. This approach holds significant promise for improving the precision and effectiveness of mental health care. • The study aims to improve mental healthcare by incorporating physiological data (Heart Rate and Galvanic Skin Response) to detect and potentially treat anxiety. • Employs a novel algorithm, Regression Based Random Forest (RBRF), to analyze the collected data and identify anxiety. • Achieved high accuracy (95 %) in identifying anxiety using the RBRF algorithm on a large dataset.
Open Access: Yes
Nonlinear kinematic impacts on nanofluid flow across rough surface with numerical simulation
Publication Name: Scientific Reports
Publication Date: 2025-12-01
Volume: 15
Issue: 1
Page Range: Unknown
Description:
The current study demonstrates the intricate thermo-solutal transportation features of a nanofluid experiencing non-linear kinematics as it flows across a rough porous stretched interface. Previous work has typically been limited to smooth geometries, narrow parameter ranges, and few physical intuitions. However, this paper extends the analysis to include surface roughness, porosity effect, nonlinear stretching and essential physical phenomena like effect of magnetic field, Brownian motion special case thermophoresis effect and variable suction/injection. The resulting extension does not only reproduce realistic flow cases, but reveals extremely sensitive solution behaviors that have been completely untouched in the literature. Using scaling transformation approach, the governing non-linear partial differential equations (PDEs) for the transport of momentum, energy, and solutal in the transformed independent variables are translated into a set of coupled ordinary differential equations (ODEs). Numerical simulation of the above transport equations with ten dimensionless parameters is done using the MATLAB BVP4C (built in solver) approach, which ensures computational stability and high precision across broad parametric domains. Additionally, using an expanded parameter domain revealed previously unknown solution properties. For instance, as the thermophoretic limitation raised, the species concentration rose by 5% and fell by 12%. Additionally, sensitivity was demonstrated by the velocity profiles shifting by 20% in response to a small variation in the slip parameter. Finding the limits at which qualitatively reactions to system modifications and other non-physical solutions arise from the qualitative responses is notably innovative. Such findings will propel the development of more efficient coatings and temperature control techniques, offering helpful advice to greatly improve transportation effectiveness in actual nanofluid applications.
Open Access: Yes
Heat transfer control in MHD flow through internally finned vertical duct: A finite volume approach
Publication Name: International Communications in Heat and Mass Transfer
Publication Date: 2026-03-01
Volume: 172
Issue: Unknown
Page Range: Unknown
Description:
The purpose of this investigation is to explore in depth a duct flow that incorporates the Al2 O3 /H2 O nanofluid while it is subjected to an external field impact. The duct is made up of two opposing fins that are joined to the walls that are opposite each other. The temperature may be considered to be uniform at the cross-sectional plane of the duct. Additionally, the heat flow at the border is not variable. The finite volume approach was chosen because it offers a satisfactory balance between computing efficiency and the accuracy of its solutions. Importantly, our results indicate that the slowness of flow that is caused by increased Rayleigh numbers may be efficiently regulated by introducing an external magnetic field that has been carefully measured. The significance of this study demonstrates how magnetic-field modulation can be strategically employed to control thermal-hydraulic behavior in internally finned duct systems. The results provide valuable guidance for designing advanced cooling channels, energy devices, and thermal management systems where enhanced heat transfer and flow stability are required under magnetic field environments. The installation of an external magnetic field of moderate strength resulted in a drop of about 75 % in both the maximum velocity and temperature across the duct. Further, a jump of approximately 66 % in the average Nusselt number has been brought about by 25 % increase in the fin height. Through the use of this study framework, a link between thermal-hydraulic behavior and the application of magnetic force is established. The involvement of the Lorentz force, which offers resistance to the motion of the fluid by operating in a direction that is perpendicular to the direction in which the fluid is flowing, and the magnetic force, is brought about as a consequence of the magnetic forces. Consequently, it is possible to draw the conclusion that a larger Nusselt number is the result of both a higher Rayleigh number and a higher magnetic parameter.
Open Access: Yes
Analysis of Plane Poiseuille flow of non-isothermal couple stress fluid between two parallel inclined plates using two reliable methods
Publication Name: International Journal of Thermofluids
Publication Date: 2026-01-01
Volume: 31
Issue: Unknown
Page Range: Unknown
Description:
This study is motivated by the need to understand complex thermal and hydrodynamic behaviors of couple stress fluids, which commonly occur in lubrication systems, microfluidic devices, and polymeric material processing. Its significance lies in modeling non-isothermal couple stress fluid flow through an inclined Poiseuille channel bounded by two heated parallel plates, a configuration relevant to advanced heat and mass transfer applications. The aim is to determine the velocity profile, temperature distribution, volumetric flow rate, average velocity, and shear stress for the incompressible fluid. To achieve this, the highly nonlinear coupled ordinary differential equations governing the system are solved using the Optimal Homotopy Asymptotic Method and the Homotopy Perturbation Method, which provide accurate approximate solutions without linearization. The major findings show excellent agreement between the two approaches, confirming their validity, while parametric studies reveal how physical factors such as couple stress effects, plate inclination, and thermal gradients influence the flow. The specific applications of this work include lubrication processes, thermal energy devices, and fluid transport systems requiring precise control of flow and heat transfer.
Open Access: Yes
Stability analysis of a fractional prey–predator model with Holling type III functional response and disease in both populations
Publication Name: Network Modeling Analysis in Health Informatics and Bioinformatics
Publication Date: 2026-12-01
Volume: 15
Issue: 1
Page Range: Unknown
Description:
This paper develops and analyzes a fractional-order predator–prey model with Holling type III functional response, incorporating the transmission of a contagious disease between both populations. We first establish the existence, uniqueness, non-negativity, and boundedness of solutions for the fractional-order system. The local stability of the model’s equilibrium points is examined, and the global stability is rigorously proved using a suitable Lyapunov function. We also investigate the effects of disease transmission on the predator–prey dynamics by identifying multiple equilibria, threshold parameters, and stability conditions. In particular, we analyze the existence of Hopf bifurcation at the endemic equilibrium point through bifurcation analysis, revealing the possible emergence of periodic oscillations. Analytical results are complemented by numerical simulations, highlighting the importance of incorporating both Holling type III predation and disease transmission when assessing prey–predator coexistence.
Open Access: Yes
Dynamics of Low-Pass Electrical Transmission Lines: Lie Symmetries, Solitons, Bifurcations, and Modulation Instability
Publication Name: Journal of Nonlinear Mathematical Physics
Publication Date: 2026-12-01
Volume: 33
Issue: 1
Page Range: Unknown
Description:
Lie symmetry analysis is an effective method for solving differential equations and simplifying them by reducing their nonlinearity and order. Symmetries have a crucial role not only in differential equations but also in different scientific fields. In this study, we apply Lie symmetry analysis to investigate the symmetries of the low-pass electrical transmission lines model. Additionally, we derive the transformed equivalent forms of the equation and obtain some invariant solutions. The article discusses the discovery of novel soliton wave solutions and their propagation characteristics within nonlinear low-pass electrical transmission lines. By employing a new mapping method, the study establishes various types of soliton solutions for the nonlinear evolution equations governing the behavior of nonlinear low-pass electrical transmission lines. The governed equation in this study can be used to improve signal transmission in optical fiber communication, electrical networks, power nonlinear signal filtering and grid stability. The study also incorporates a bifurcation analysis to explore different solution branches of the governing model, shedding light on the system’s complex dynamics. By the Hamiltonian system, the study investigates phase portraits that illustrate the flow of solutions. The linear stability analysis is also examined to check the modulation instability of the solitons. This analysis is significant for understanding the small disturbances in the system that affect the wave propagation. The results of the study are visually presented via 3D plots, 2D and contour plots generated with Maples software. These visual aids validate the analytical findings and provide a clear representation of the wave behavior in nonlinear low-pass electrical transmission lines. The soliton solutions derived are new and contribute to a deeper understanding of nonlinear wave phenomena in electrical transmission lines.
Open Access: Yes
Stochastic Breather and Soliton Dynamics of a Third-Order Complex mKdV (Higher-Order NLS-Type) Equation
Publication Name: Journal of Nonlinear Mathematical Physics
Publication Date: 2026-12-01
Volume: 33
Issue: 1
Page Range: Unknown
Description:
This study presents a comprehensive investigation of optical solitary waves governed by a third-order complex modified Korteweg-de Vries (higher-order nonlinear Schrödinger-type, mKdV-NLS) equation incorporating stochastic effects. Initially, the methodology outlines the general procedure of this approach. Subsequently, by applying the traveling waves transformation to the given equation, it is reformulated into nonlinear ordinary differential equations (NLODEs). These NLODEs are then decomposed into their imaginary and real components. Furthermore, the proposed methodology is implemented to derive new solutions for optical solitary waves within the mKdV-NLS type model, encompassing stochastic breather-like waves, singular solitons, periodic waves, and various wave interactions. Additionally, numerical visualizations of the exact analytical solitary waves are provided, facilitating an examination of the stochastic term’s influence on wave dynamics. This study advances the understanding of optical wave behavior and clarifies the effects of stochastic contributions, offering valuable insights for both theoretical studies and practical applications in optics and related fields.
Open Access: Yes
Analytical and numerical investigation of jet engine vibration equation using least square homotopy perturbation method
Publication Name: Journal of Low Frequency Noise Vibration and Active Control
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
This research focuses on solving the nonlinear second-order jet engine vibration equation utilizing a hybrid analytical technique named the least square homotopy perturbation method (LSHPM). The numerical and graphical comparison of the solutions obtained using the homotopy perturbation method (HPM), LSHPM, and the MATLAB built-in solver bvp5c is presented across four distinct cases. Additionally, a comparative analysis between the solutions derived from LSHPM and those reported in previous literature is also presented. The tabular and graphical representation of the solutions, along with the numerical validation through residual error analysis, are given. Furthermore, the convergence analysis of the LSHPM for its stability and solution reliability is provided. The graphical and numerical representation of the residual error analysis reveals that LSHPM exhibits superiority over HPM in terms of rapid convergence and accuracy. The strong agreement between the results obtained from HPM and bvp5c with those of LSHPM demonstrates that LSHPM offers a more efficient, reliable, and fast convergent solution of the initial and boundary value problem.
Open Access: Yes
Hybrid-Optimized Gudermannian Neural Network for Oscillatory Dynamics
Publication Name: IEEE Access
Publication Date: 2026-01-01
Volume: 14
Issue: Unknown
Page Range: 20873-20889
Description:
Differential equations govern the dynamics of many physical systems, including mass–spring and mass–spring–damper systems. We propose a fully connected Gudermannian-activated neural network (FCGNN) trained with a hybrid global–local optimizer: a genetic algorithm for a global search, followed by an active-set method for rapid local refinement. The Gudermannian activation smoothly links trigonometric and hyperbolic behaviors, enabling a single network to capture both oscillatory (underdamped/forced) and exponential (overdamped) responses with improved expressivity over standard activation functions. We also studied the effect of L1 and L2 regularization on generalization. Using canonical vibration benchmarks, Monte Carlo trials quantify the robustness of the initialization and noise. The FCGNN’s predictions closely match the analytical solution and outperform physics-informed neural networks, achieving higher accuracy with compact architectures and reduced training effort. The novelty of the model is in the integration of the gudernmannian activation function with a hybrid GA–ASM optimization and independent regularization analyses, along with the Monte Carlo simulations, which yield an accurate solver for oscillatory systems.
Open Access: Yes
CONTROLLABILITY OF THE TIME-VARYING FRACTIONAL DYNAMICAL SYSTEMS HAVING MULTIPLE DELYAS IN CONTROL WITH CAPUTO FRACTIONAL DERIVATIVE
Publication Name: Fractals
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
The objective of this study is to analyze controllability results for time-varying linear and nonlinear fractional dynamical systems with multiple control delays within the framework of the Caputo fractional derivative. This paper focuses on examining control problems within a finite time interval, aiming to identify a control function that steers the system’s solution from a specified initial state to a targeted final state. For linear systems, the study establishes necessary and sufficient conditions for controllability by utilizing the Grammian matrix techniques. For nonlinear systems, the existence of a solution is ensured through an iterative technique, with completeness of the space guaranteed. With the help of this technique, we establish the sufficient conditions for the controllability of time-varying nonlinear fractional dynamical systems. The results show that the controllability of fractional dynamical systems can be effectively analyzed with the given framework, along with numerical simulations and graphical representations to clarify the theoretical findings.
Open Access: Yes
SIGNIFICANCE OF FRACTAL INTERFACIAL LAYER AND NANOPARTICLE’S RADIUS ON THE DYNAMICS OF NANOFLUIDS FLOW VIA CHANNEL OF POROUS WALLS
Publication Name: Fractals
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
This paper investigates heat and mass transfer phenomena by assessing advanced thermal conductivity models (TCMs) that significantly influence the flow of metallic (Au) nanoparticles under suitable boundary conditions. By integrating high TCMs with innovative interfacial fractal theory, we demonstrate a marked enhancement in thermal and concentration transfer. The analysis further investigates the physical model of a hybrid porous channel under the influence of nanofluid flow, magnetohydrodynamics (MHD), and chemical reactions. A detailed numerical investigation of nonlinear partial differential equations, converted into higher-order nonlinear ordinary differential equations (ODEs) using similarity transformations, reveals results by employing single-phase models of nanofluids. The ODEs are solved numerically via the shooting approach combined with the fourth-order Runge–Kutta method, using Mathematica to produce both graphical and numerical results. A comparative graph for expanding/contracting cases deliberated under the impact of MHD and chemical reaction. For expanding and suction cases, volume fractions of nanoparticles increase the function of the Nusselt number. Similarly, MHD is also an increasing function of shear stress near the porous surfaces. As the radius of the nanoparticle (dp) and the inter-particle spacing (h) increase, the radial velocity and temperature profiles also rise in both porous walls. It shows that chemical reactions alter thermal and mass transfer characteristics, with optimal parameters identified for maximizing efficiency. The research uncovers nonlinear interactions between flow dynamics and nanoparticle characteristics, explores the impact of external magnetic fields, and examines how boundary conditions influence transfer processes. Overall, this work enhances our understanding of using fractal theory to improve heat and mass transfer in engineering applications involving metallic nanoparticles.
Open Access: Yes
Analysis and management of climate change incidents spread within the environment under coastal lives: Modeling and chaos control
Publication Name: Results in Control and Optimization
Publication Date: 2026-03-01
Volume: 22
Issue: Unknown
Page Range: Unknown
Description:
Examining the model of climate change by analyzing how changes in climate-related incidents spread within the environment, particularly in coastal areas, as a result of predictions, is the main goal of this study. Following some measurements of impact rates for various variables, a mathematical model is developed using the hypothesis of a healthy environment to investigate the rates of climate change affecting coastal communities. In addition to studying the model equilibrium points, the next generation method is used to determine the models reproductive number to climate incidents spread within the environment. To determine the most sensitive factors and look at how changes in the pace of change under various conditions affect coastal life, a sensitivity analysis was created. Both qualitative and quantitative analyses are performed on a proposed model, with particular focus on existence, boundedness, positivity, and unique solutions, which are key characteristics of the developed model. At endemic sites, the model's local stability is confirmed both theoretically and statistically. The Lyapunov derivative by endemic point of the model is used to investigate the worldwide stability of the model. Chaos control is also used to observe the chaotic behavior of the climate change. A two-step method, Lagrange polynomials, is applied in numerical simulations to investigate the effect of the fractional operator on the generalized form of the power law kernel for ongoing surveillance of climate change under coastal lives. The simulations show how different parameters affect the changes in climate incidents spread within the environment under coastal lives. Simulations have been developed to simulate the effects and behavior of climate change brought on by both natural and human activity, as well as to implement various environmental health initiatives. This type of research will be helpful in figuring out how climate change spreads and in developing future management plans for coastal lives, based on our verified results for various strategies.
Open Access: Yes
Unraveling the Bäcklund Transformation and Interaction Phenomena in Nonlinear Dispersive Media Describing Combined pKP-BKP System in (3+1) Dimensions
Publication Name: Journal of Nonlinear Mathematical Physics
Publication Date: 2026-12-01
Volume: 33
Issue: 1
Page Range: Unknown
Description:
This work studies the exact solutions of the integrable (3+1)-dimensional combined potential Kadomtsev-Petviashvili (pKP) equation with the B-type Kadomtsev-Petviashvili (BKP) equation, which is used to characterize several nonlinear oscillations occurring in hydrodynamics, plasma physics, and nonlinear optics. A bilinear representation of the pKP-BKP model is used to study the properties of different wave solutions. A variety of ansatzes are utilized to derive lump cross-kink waves, lump cross-periodic waves, rogue waves, as well as two, three, and multi-wave solutions pertinent to the model. In addition, a traveling wave transformation is applied to transform the problem into an ordinary differential equation. The new auxiliary equation methodology yields solutions including rational, exponential, hyperbolic, and trigonometric functions. Graphical visualizations using 2D plots, contour plots, and 3D plots show the dynamics of the obtained solutions. These solutions are of great importance in nonlinear fiber optics and telecommunications, which contribute to our understanding of the fundamental physical models.
Open Access: Yes
Controllability analysis of fractional nonlinear dynamical systems using Ψ-Caputo derivatives and prescribed controls
Publication Name: Journal of Taibah University for Science
Publication Date: 2026-01-01
Volume: 20
Issue: 1
Page Range: Unknown
Description:
This article investigates controllability results for fractional dynamical systems with prescribed control, formulated using the (Formula presented.) -Caputo type fractional derivative. For linear systems, controllability is established via fractional calculus and the Gramian approach, while for nonlinear systems it is examined using Krasnoselskii’s fixed point technique. Theoretical findings are further supported with illustrative numerical examples. The study also discusses the mathematical framework required for the analysis and highlights the logical steps followed to derive the main results.
Open Access: Yes
Langevin neutral impulsive fractional stochastic system along fractional Brownian motion-A controllability analysis
Publication Name: Journal of Low Frequency Noise Vibration and Active Control
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
The purpose of this work is to investigate the controllability of Langevin-type stochastic neutral impulsive integro-differential equations governed by the Caputo fractional derivative and driven by fractional Brownian motion, which arise naturally in systems exhibiting memory, impulsive effects, and stochastic disturbances. Using resolvent operators and fixed-point techniques, necessary and sufficient controllability conditions are established for the associated linear system, while the controllability of the nonlinear system is demonstrated via the Banach contraction principle. The theoretical results confirm that appropriate control functions can steer the system to a desired state within a finite time interval. Finally, illustrative numerical examples are provided to demonstrate the applicability and effectiveness of the obtained results, highlighting their relevance to practical stochastic control problems.
Open Access: Yes
Optically controlled microstrip transmission line for slow wave propagation
Publication Name: International Journal of Modern Physics C
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
This paper investigates the utilization of optical control in diverse planar devices, focusing on the Metal-Insulator-Semiconductor (MIS) microstrip transmission line on a semiconductor substrate as a specific example. Optical illumination induces intriguing e®ects in this structure, wherein the metal layer can serve as a transparent conductive oxide when illuminated. The MIS interconnect, crucial in modern high-speed Very Large-Scale Integration (VLSI) circuits, has undergone extensive scrutiny regarding Electromagnetic (EM) wave behavior using various analytical approaches. Controlling wave propagation and manipulating MIS-type planar transmission lines enable the design of delay lines, phase shifters, filters, etc. Energy dissipation in MIS-layer-type transmission lines is also explored due to its significant impact on interconnect design. This paper employs theoretical and experimental models to analyze MIS line characteristics and performance. Optical control presents opportunities to enhance planar device functionality and e±ciency, particularly in MIS microstrip transmission lines, driving advancements in high-speed VLSI circuits and fostering innovative applications across industries.
Open Access: Yes
The Painlevé analysis and computational technique for new wave solutions with its numerical validation to the complex short pulse equation
Publication Name: Kuwait Journal of Science
Publication Date: 2026-04-01
Volume: 53
Issue: 2
Page Range: Unknown
Description:
This article aims to derive novel varieties of exact solitonic wave solutions to the complex short pulse equation using an effective technique known as the Riccati-Bernoulli sub-ODE method (RBSODM), which does not conform to the balance rule. For the first time, the resonance induced by the arbitrariness of the singular manifold is analyzed in the proposed model through the application of Painlevé analysis (PA). The complex short pulse (CSP) equation models the behaviour of ultra-short optical pulses in nonlinear media. It serves as a more accurate model than the non-linear Schrödinger equation when the pulse width approaches the optical cycle scale. The proposed model incorporates both dispersion and Kerr-type nonlinearity, capturing the essential features of femtosecond pulse dynamics. Diverse types of rogue wave soliton solutions have been extracted such as bright soliton, dark soliton, W-like soliton, M-like soliton, and higher-order breather soliton. Moreover, the numerical approximations for all obtained analytical traveling wave solutions have been implemented by using the Haar wavelet approach (HWA). A comparison between the obtained analytical and numerical solutions is presented. Two-dimensional and three-dimensional graphical simulations are generated using the Mathematica software. The graphical simulations demonstrates the novelty of the obtained results and facilitate the interpretation of the dynamical properties of the proposed model.
Open Access: Yes
Constrained optimization in physics-informed neural networks for singular three-point boundary value problems
Publication Name: Ain Shams Engineering Journal
Publication Date: 2026-04-01
Volume: 17
Issue: 4
Page Range: Unknown
Description:
Physics-informed neural networks represent a category of deep learning models that directly incorporate physical laws into the training process to solve differential equations, thereby diminishing the dependence on extensively labeled datasets. This study investigates a constrained optimization framework within PINNs to address singular three-point boundary value problems, which present significant challenges owing to singularities and internal boundary conditions that result in non-standard solution behavior. To address these complexities, we developed a customized Physics-informed neural network architecture that integrates constraint-driven regularization terms into the loss function to enhance the generalization and numerical stability. The proposed approach was evaluated across multiple benchmark problems, with performance assessed using statistical metrics and the mean squared error. The optimization and training PINN regular framework will stabilize the training and convergence in the presence of singularities to yield dependable TPS-BVP solutions. The predicted solutions were rigorously compared with exact analytical solutions. The results demonstrate that the constrained optimization-based Physics-informed neural networks framework provides highly accurate and stable approximations, validating its effectiveness in handling complex singular boundary value problems.
Open Access: Yes
A SPECTRAL COLLOCATION SCHEME WITH 2D ULTRASPHERICAL WAVELETS FOR FRACTIONAL NONLINEAR GAS DYNAMICS EQUATIONS UNDER CAPUTO–FABRIZIO DERIVATIVE
Publication Name: Fractals
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
Gas Dynamics Equations (GDEs) play a fundamental role in modeling fluid flows phenomena across a range of applications, from environmental systems to aerospace engineering. These equations mathematically represent the fundamental laws of mass, momentum and energy conservation. Modeling complex gas flows often requires advanced mathematical tools capable of capturing nonlocal and memory-dependent behavior. Therefore, this study explores the implementation of the Caputo–Fabrizio Fractional Derivative (CFFD) in the analysis of GDEs, highlighting its potential to accurately capture the behavior of complex fluid dynamics systems. A two-dimensional (2D) wavelet-based approach combined with suitable collocation grids is employed to approximate the solutions for spacetime Fractional Gas Dynamics Equations (FGDEs). The concept of the CFFD, with its nonsingular kernel, is integrated into the framework of GDEs, offering a more precise analytical perspective. By reformulating the FGDEs into a system of algebraic equations, the proposed approach enables efficient computation via iterative technique. The error analysis of the numerical results is presented through graphs and tables for three illustrative examples with varying fractional values, demonstrating a strong correlation between the analytical and approximated solutions. The performance of the scheme is evaluated using multiple error metrics, including minimum absolute error, L∞ error, L2 error, and LRMS errors. The absolute errors demonstrate the improvement in results of FGDEs as the wavelet basis increases. The results validate the reliability and ease of implementation of the suggested approach for solving the FGDEs. The study demonstrates the method’s reliability, and potential for solving a wide class of nonlinear fractional models governed by nonlocal dynamics.
Open Access: Yes
Modeling backward bifurcation cholera diseases with time delays: insights into treatment impact
Publication Name: Modeling Earth Systems and Environment
Publication Date: 2026-04-01
Volume: 12
Issue: 2
Page Range: Unknown
Description:
In this paper, we investigate the emergence of backward bifurcation in a treatment-dependent cholera transmission model incorporating time delays. We develop a delay differential equation framework that captures key aspects of cholera dynamics, including delayed treatment responses, degradation of water quality (modeled through bacterial concentration dynamics with natural decay), and nonlinear infection processes. A thorough mathematical analysis is conducted to derive the basic reproduction number and explore the local and global stability of the equilibrium points. Special emphasis is placed on identifying parameter regimes that give rise to backward bifurcation, revealing the possibility of multiple endemic equilibria even when the basic reproduction number is below unity. In addition, we incorporate optimal control strategies by introducing a time-dependent control variable u(t), which represents the intensity of treatment interventions. The role of u(t) in mitigating disease transmission and improving public health outcomes is rigorously analyzed through Pontryagin’s Maximum Principle. Numerical simulations highlight the impact of treatment efficacy and intervention delays on epidemic trajectories. The findings underscore the critical importance of timely and sustained control efforts in preventing severe cholera outbreaks and reducing the burden of disease within affected populations.
Open Access: Yes
Modulation instability and soliton dynamics in birefringent optical fibers governed by the complex Ginzburg–Landau equation
Publication Name: Zeitschrift Fur Angewandte Mathematik Und Physik
Publication Date: 2026-03-01
Volume: 77
Issue: 3
Page Range: Unknown
Description:
The study of optical solitons in birefringent fibers is essential for understanding signal transmission stability in nonlinear dispersive systems. This article investigates the optical soliton solutions of the complex Ginzburg–Landau equations that take into account Hamiltonian perturbations and Kerr-type nonlinearity, modeling nonlinear wave propagation in birefringent fibers. The extended hyperbolic function and the generalized auxiliary equation methods are employed to obtain exact soliton solutions, followed by an analysis of their physical significance, offering insights into polarization effects, phase shifts and energy dissipation in optical fibers, aiding advancements in high-speed optical communication. It has been recognized that the proposed framework leads to a numerically convenient as well as mathematically sound mechanism for solving a wide range of nonlinear evolution equations. A 2D and 3D graphical presentation using certain parameterizations is included in this study for a deeper understanding of the solution’s physical attributes. The dependability of the methodology underscores its proficiency in addressing more intricate mathematical and engineering frameworks, thereby accentuating its broader significance.
Open Access: Yes
Fractal geometry-based Klein-Gordon model for heat and mass transfer in a cylindrical cavity with variable thermal conductivity
Publication Name: Propulsion and Power Research
Publication Date: 2026-03-01
Volume: 15
Issue: 1
Page Range: 179-196
Description:
This study presents a generalized framework of vector calculus for non-integer dimensional spaces, motivated by the prevalence of fractals in nature. The work formulates first- and second-order differential operators, including gradient, divergence, and scalar and vector Laplacian, for scalar and rotationally covariant vector functions. This framework is applied to the thermoelastic response of an infinite fractal medium with a cylindrical cavity, a problem that incorporates thermoelastic mass diffusion and variable thermal conductivity through the Kirchhoff transformation. The system is analyzed under combined thermal and chemical shocks at the boundary, with the medium remaining mechanically fixed. The governing equations are solved using the Laplace transform method, and Zakian technique is employed for numerical inversion. The computational results indicate that parameters such as delay time and fractal dimension significantly influence the material's response. The graphical analysis visually examines the effects of different kernel functions, fractal dimension, variable thermal conductivity, nonlocal length and time scales on the thermoelastic response, providing a clear illustration of their impact. Specifically, an increase in fractal dimension leads to a more pronounced reduction in the thermoelastic response near the cylindrical cavity. Furthermore, an examination of different memory-dependent kernel functions reveals that nonlinear kernels demonstrate superior performance compared to linear kernels within this theoretical framework.
Open Access: Yes
Computational Investigation of Fractal-Fractional Nonlinear Viscoelastic Fluids Using Local Radial Basis Function Method
Publication Name: Revista Internacional De Metodos Numericos Para Calculo Y Diseno En Ingenieria
Publication Date: 2026-01-01
Volume: 42
Issue: 2
Page Range: Unknown
Description:
Fractal-fractional derivatives generalize both traditional and fractional differentiation approaches by integrating memory effects with fractal properties. This mathematical framework is especially valuable for describing complex systems in which conventional continuum mechanics becomes inadequate, particularly in scenarios involving porous or discontinuous structures. This research investigates the behavior of a non-linear Walter’s-B fluid subjected to time-varying thermal and concentration conditions. Beyond the extended derivative formulation, the analysis incorporates phenomena including first-order chemical reactions, radiative heat transfer, Joule heating, Soret effect, and viscous dissipation. The system is also subjected to a transverse magnetic field with magnitude B0 . The fluid model is initially formulated through traditional constitutive equations and subsequently generalized using a fractal-fractional operator. Solutions to this extended model are computed employing a meshfree numerical approach utilizing localized radial basis functions (LRBF), which eliminates the requirement for structured grids and improves precision when addressing intricate geometries. The computational outcomes, displayed through graphical representations, illustrate how the fractional and fractal parameters influence the rheological characteristics of the Walter’s-B fluid. These findings establish that adjusting these parameters enables retrieval of classical, fractional, and fractal formulations as particular instances within this comprehensive mathematical structure.
Open Access: Yes
Controlled Fuzzy 2-Metric Spaces: A Soft Computing Framework with Dynamic Applications
Publication Name: International Journal of Analysis and Applications
Publication Date: 2026-01-01
Volume: 24
Issue: Unknown
Page Range: Unknown
Description:
In this article, we introduce the concept of a controlled fuzzy 2-metric space, formulated by incorporating three control functions that flexibly regulate the fuzzy distance relationships among triplets of points. This structure provides a flexible analytical tool for modeling systems influenced by uncertainty, interdependence, and approximate reasoning. We establish several fundamental properties of this structure and derive fixed-point results. To demonstrate its practical relevance, we apply the proposed framework to a dynamic market-equilibrium problem, in which agents’ interactions are governed by fuzzy relations and control-dependent adjustments. The study also discusses implications for soft computing and decision-making systems, highlighting the framework’s potential in modeling adaptive and uncertain environments.
Open Access: Yes
Numerical simulation of boundary value radiative tri-hybrid nanofluid flow subject to exponential heat source/sink past a porous stretching surface
Publication Name: Results in Engineering
Publication Date: 2026-06-01
Volume: 30
Issue: Unknown
Page Range: Unknown
Description:
The energy and mass transference through ternary nanofluid (TNF) over a stretching spinning sheet is estimated in the present study. The TNF has been prepared by the distribution of magnesium oxide (MgO), titanium dioxide (TiO2 ), and cobalt ferrite (CoFe2 O4 ) nanoparticles (NPs) in water. The study of the TNF over a rotating stretching sheet can be directly used in optimizing the performance of solar thermal collector, high-power electronics cooling, and aerospace heat shields. Such flow has a vital role in the optimization of lubrication processes and nuclear reactor cooling in which high thermal conductivity and centrifugal flow manipulation is needed. The TNF flow has been calculated under the consequence of mixed convection, thermal radiation, constant and exponential heat source/sink, magnetic field, and porous medium. The flow scenario is mathematically stated in the form of a nonlinear system of PDEs (partial differential equations). The set of PDEs is transfigured into the non-dimensional system of ODEs (ordinary differential equations), by means of the similarity variables. The results are obtained through the bvp4c code (Matlab built-in package). The percent error between present and published study at Pr =5.0 is 0.0034541%, which ensure the accuracy of the proposed model and applied methodology. The energy transfer rate drops by up to 20.4049%, 25.5465% and 32.4766% by varying the exponential heat source/sink factor from -1.0 t0 1.0 in case of nano, hybrid and ternary nanofluid respectively. The transfer rate enhances up to 52.7911% and 51.2236% by varying heat radiation and Dufour number from 1.0 to 3.0 and 1.5 to 3.5 in case of THNF, respectively.
Open Access: Yes
Memory-sampled data controller for exponential synchronization of Markovian jump neural networks with mixed delays and partially unknown transition probabilities
Publication Name: Physica A Statistical Mechanics and Its Applications
Publication Date: 2026-07-15
Volume: 694
Issue: Unknown
Page Range: Unknown
Description:
The current study investigates the exponential synchronization (ES) problem for a class of Markovian jump neural networks (MJNNs), which are susceptible to distributive and additive time-varying delays and are managed by a memory-sampled data controller (MSDC). The transition probabilities in question are thought to be partially unknown. The information of time delay and sampling instants is captured by enhanced Lyapunov-Krasovskii functionals (LKFs). A novel modified integral inequality is utilized, which provides a potent framework for studying dynamical systems, and also made a foundation of this study. Adequate requirements for the ES of proposed system are obtained in the form of linear matrix inequalities (LMIs) by incorporating these integral inequalities. Under these circumstances, the hybrid closed-loop system's mean square input-to-state stability (ISS) is ensured. Lastly, the accuracy of the proposed ISS synchronization mechanism is verified and illustrated with numerical examples.
Open Access: Yes
Numerical Study of Maxwell and Navier–Stokes Equations for Fluid Flow Over a Curvilinear Surface Subject to Buoyancy Forces
Publication Name: ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik
Publication Date: 2026-04-01
Volume: 106
Issue: 4
Page Range: Unknown
Description:
Buoyancy-driven viscous fluid flow across a curved surface is investigated numerically in this work using the coupled Maxwell and Navier–Stokes equations, with variable fluid characteristics represented as nonlinear functions of temperature. Realistic magneto-hydrodynamic effects are captured by including the Lorentz force and the influence of a fluctuating magnetic field in curvilinear coordinates. The governing partial differential equations are solved using the parametric continuation method (PCM) after being converted into a system of ordinary differential equations by similarity transformations. Results demonstrate excellent agreement when compared to previously published data using MATLAB's PCM solver to confirm correctness. According to the parametric study, buoyancy ((Formula presented.)) improves fluid motion by around 15%, whereas greater curvature factors (Formula presented.), Stuart numbers (Formula presented.), and Prandtl numbers (Formula presented.) result in a 12%–16% drop in radial and arc-length velocities. The temperature profile falls by more than 23% as (Formula presented.) and (Formula presented.) increase, indicating the significance of thermal diffusivity in preventing heat buildup. It increases by 25% with higher magnetic interaction ((Formula presented.), (Formula presented.)). The induced magnetic field is strengthened by 6%–7% with a little increase in the magnetic interaction parameter (Formula presented.), whereas the magnetic field intensity is reduced by about 25% with a larger (Formula presented.). Skin friction falls by almost 10% with greater (Formula presented.) at moderate (Formula presented.), but increases by 4% under larger Lorentz forces ((Formula presented.), (Formula presented.)). Overall, the results show that velocity, temperature, magnetic field distribution and surface forces are strongly influenced by buoyancy, curvature and electromagnetic parameters. The findings shed light on efficient energy optimisation, thermal control, and electromagnetic regulation of MHD flows over curved geometries.
Open Access: Yes
DOI: 10.1002/zamm.70423
Galerkin finite element analysis of trihybrid nanofluid flow in porous corrugated cavities with thermal radiation and ANN validation
Publication Name: Results in Engineering
Publication Date: 2026-06-01
Volume: 30
Issue: Unknown
Page Range: Unknown
Description:
This work tackles the issue of enhancing heat transmission and minimizing entropy formation in tiny enclosures pertinent to thermal energy storage. It looks at how magnetohydrodynamic (MHD), non-Darcian porous media, a ternary hybrid nanofluid composition (Fe3 O4 –hBN–CuO/water), and triangle corrugation work together in a corrugated rectangular cavity. The goal is to figure out how these things affect convection, entropy formation, and the overall efficiency of the thermodynamic system. Utilizing the Galerkin finite element technique (GFEM), we found numerical solutions to the mathematical models for momentum, energy, and entropy generation. The effects of the porosity parameter, ternary nanoparticle concentration, Hartmann number, Darcy number, and Rayleigh number were carefully studied for the cavities' flat and triangular corrugated walls. Artificial Neural Network (ANN) model was developed and trained to predict the average Nusselt number and total entropy generation with high precision, using fewer computational resources compared to conventional CFD approaches. It is observed that the ANN model is used mostly as an ancillary prediction instrument derived from FEM-generated data, rather than as the principal computational framework. The results show that corrugated shapes improve local heat transfer by increasing the surface area and causing flow disruptions. However, too many corrugations lower the average Nusselt numbers because they cause recirculation. Higher Rayleigh numbers make buoyancy-driven convection stronger, whereas larger magnetic fields make circulation weaker, which makes conduction-dominated transport more likely and lowers entropy generation. The porosity and Darcy number have a big effect on convective intensity and entropy formation. On the other hand, the right number of nanoparticles may boost thermal conductivity without making irreversibility too high. The ANN model showed great prediction ability (MSE≈1.12 × 10⁻⁷), which proved that it works well for quickly testing Multiphysics systems. These results show that integrating ternary nanofluids, controlling porous media, and changing the magnetic field may improve thermal performance in advanced applications, including solar collectors, cooling electronics, and thermal energy storage devices. Combining ANN prediction gives us a solid base for designing and improving next-generation heat management solutions in a way that works well.
Open Access: Yes
Thermal characteristics of magnetic blood-based hexa-hybrid nanofluids in stenotic arteries with heat source/sink by applying Caputo-Fabrizio fractional derivatives
Publication Name: Results in Surfaces and Interfaces
Publication Date: 2026-08-01
Volume: 24
Issue: Unknown
Page Range: Unknown
Description:
The current examination explores the magnetohydrodynamic flow and transport behavior of a Casson-based blood-derived hexa-hybrid nanofluid via a vertically oriented, mildly stenotic artery using a fractional-order framework. The hexa-hybrid nanofluid is formulated by dispersing Au, Cu, ZnO, Ag, MgO and TiO2 nanoparticles into blood, and the flow is considered highly pulsatile. Mathematical modelling is developed from the conservation laws of mass, momentum, and energy, followed by nondimensionalization under the mild-stenosis approximation. To extend the classical model to its fractional form, the Caputo–Fabrizio fractional derivative is incorporated, enabling closed-form analytical expressions for velocity and temperature through combined Laplace and Hankel transforms. The graphical results highlight the influence of key physical factors on velocity, temperature, and entropy production. The inclusion of hexa-hybrid nanoparticles notably enhances the thermal characteristics of blood due to the substantial rise in effective thermal conductivity. The velocity increases with higher Casson parameter values, whereas temperature decreases as the fractional-order parameter intensifies. Furthermore, entropy generation is found to rise with increasing thermodynamic parameters, while the Bejan number correspondingly decreases, reflecting dominant irreversibility effects within the system.
Open Access: Yes
MHD Casson nanofluid flow over a vertical stretchable sheet saturated with a porous medium: a parametric approach for sensitive analysis
Publication Name: Discover Nano
Publication Date: 2026-12-01
Volume: 21
Issue: 1
Page Range: Unknown
Description:
Purpose: After being motivated by the diverse applications of blood rheology, nanotechnology, magnetic field, chemical reaction, solar radiation, and non-Darcy porous media in nano-industrial, medical, and chemical engineering domains. The current computational study aims to numerically examine the influences of velocity slip, internal thermal generation or absorption, chemical reactions, and thermal radiation on magneto-hydrodynamic blood-based nanofluid flow with thermo-Brownian motion through an extending interface within a high-permeability medium. Furthermore, the sensitive analysis of flow features with respect to the independent flow parameters is considered. Design/methodology/approach: Suitable similarity equations are employed to convert the partial differential equations into ordinary differential equations together with their boundary constraints. The NDSolve method in Mathematica 11.0 is employed to numerically analyze the flow model, yielding data for the stream function, velocity profile, frictional force coefficient, temperature profile, concentration profile, local Nusselt number, and Sherwood number across several rheological parameters. Main findings: A boundary slip diminishes momentum transmission from the fluid to the surface; when velocity slip escalates, the velocity profile declines. The intensity of the thermal boundary layer escalates with the thermal Grashof number. The temperature distribution is exacerbated by the influence of radiation. As the Brownian parameter grows, the nanofluid temperature intensifies. The chemical reaction parameter substantially affects the enhancement of both skin friction and the Sherwood number. The Nusselt number is enhanced by increasing the thermal Grashof number. The sensitivity analysis indicates that the chemical reaction and concentration Grashof number significantly influence the improvement of rheological properties. Applications: The results of this work are relevant for regulating film thickness, chemical vapour deposition, drug delivery systems, and process optimization.
Open Access: Yes
Magneto-bioconvective stagnation point flow of a three-dimensional Casson nanofluid over a rotating Riga surface with exponential heat source: Homotopy analysis method
Publication Name: Results in Surfaces and Interfaces
Publication Date: 2026-08-01
Volume: 24
Issue: Unknown
Page Range: Unknown
Description:
The analytical results presented here not only deepen the understanding of coupled magneto-bioconvective transport phenomena but also highlight the possibility of various applications including microelectronic cooling, renewable energy systems, electromagnetic flow control, biomedical transport, microbial fuel cells, and advanced nanofluid-based thermal technologies. The present study investigates a three-dimensional Casson nanofluid flow over a Riga surface at stagnation point under the influence of an applied magnetic field, an exponential heat source, and a rotating frame. This study explores how these combined physical mechanisms influence velocity, temperature, nanoparticle concentration, and microorganism distributions. Also, it assesses whether the Homotopy analysis method (HAM) is capable of yielding precise analytical solutions for such a highly nonlinear transport model. The original nonlinear partial differential equations representing magneto-bioconvective Casson nanofluid flow are first converted to a dimensionless system of ordinary differential equations by using appropriate similarity transformations. The coupled system thus obtained is then solved analytically by the HAM. The solutions achieved through this method are checked against results from the literature to ensure their validity. The finding shows that enhancement in the Casson fluid parameter, magnetic parameter, and mass Grashof number leads to a notable decrease in velocity field as a result of increased flow resistance. In contrast, the higher Hartmann numbers produced by the Riga surface aid fluid motion via electromagnetic forcing. A stronger heat source and larger Biot number cause temperature distribution to rise, whereas thermophoresis lowers nanoparticle concentration. Also, higher activation energy affects concentration transport, but an increase in Peclet number boosts microorganism distribution and bioconvection strength.
Open Access: Yes
Parametric approach toward the thermal analysis of unsteady micropolar hybrid nanofluid (CeO2 + Al2O3/SA) flow subject to multiple slip conditions over a Riga plate
Publication Name: Journal of Thermal Analysis and Calorimetry
Publication Date: 2026-01-01
Volume: Unknown
Issue: Unknown
Page Range: Unknown
Description:
The Riga plate is a magnetized surface that influences fluid motion and boundary layer properties. It plays an important role in heat transfer, industrial processes, and aerodynamics. This study investigates the unsteady flow of a micropolar hybrid nanofluid (MHNF) over a Riga plate. The base-fluid sodium alginate (SA) has been used in the preparation of a hybrid nanofluid (HNF) consisting of CeO2 (cerium oxide) and Al2 O3 (aluminum oxide) nanoparticles (NPs). The modeled equations are transformed into a dimensionless form via similarity transformations, and the resulting equations are then numerically solved using the PCM (parametric continuation method). The influence of numerous parameters on velocity, microrotation, energy, and fluid concentration profiles is demonstrated and explained using tables and figures. Results for skin friction, energy, and mass transmission rate are also provided. Comparisons to the published data corroborate the method’s accuracy. The skin friction reduces by up to 95.1263% and 34.4699%, respectively, as the velocity slip factor and the Hartmann number are varied from 0.1 to 1.0 and 1.0 to 4.0, respectively. The energy and fluid concentration transfer rates increase by up to 21.1823% and 32.4299%, respectively, as the thermal and concentration slip parameters are varied from 0.1 to 1.4 and 0.5 to 2.0, respectively. These findings have substantial significance for a wide range of engineering applications, particularly in improving heat and mass transfer processes in industrial operations, engineering, and nanotechnology.
Open Access: Yes
