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 (CoFe2O4) 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.

Magnetized hybrid nanofluid (HNF) flow across a spinning inclined disc (SID) under Thompson–Troian slip (TTS) conditions has numerous applications. It can help improve the efficiency of cooling systems in electrical appliances by optimizing lubricant flow and energy transportation. In the current work, we have studied the HNF flow over a SID under multiple slip conditions in the form of partial differential equations (PDEs). The black iron oxide (Fe3O4) or Iron (II, III) oxide, along with silver (Ag) nanoparticles (NPs), is mixed with vacuum pump oil (VPO) for the preparation of HNF. The fluid flow is investigated in relation to nonlinear heat radiation, viscous dissipation, mixed convection, Joule heating, and irregular heat source/sink. The system of PDEs is first converted into a non-dimensional form of ODEs and then solved numerically through the BVP4c technique. It has been determined that the flow rate of HNF (Ag and Fe3O4/VPO) declines with the variation of Ag and Fe3O4 NPs in VPO, and the magnetic field parameter. The fluid temperature distribution declines with the influence of NPs' volume friction. By varying the NPs volume friction (Ag and Fe3O4-NPs) from 0.01 to 0.03, the coefficient of Nusselt number (energy transfer rate) increases up to 31.6401%. Physically, Ag and Fe3O4 NPs in VPO have a high thermal conductivity, which more efficiently boosts the energy transfer rate and is more applicable to the cooling systems and energy transportation.