Partial Differential Equations in Applied Mathematics (Jun 2025)
Mixed convective and viscous heating effect of electromagnetic Tiwari-Das nanofluid model with permeable wall conditions
Abstract
This study analyzes the flow behavior and thermal properties of conducting electro-magnetic Tiwari-Das nanofluid over a vertical stretchy/shrinky wall in a permeable channel, highlighting its potential for effective heat management processes as applied to exploration, medicine, biological and engineering activities. An appropriate report of thermo-physical properties in such a setup is needed to obtain the required production output. Hence, theoretical analysis of viscous dissipation and porosity on unsteady magnetized convective and electrically conducting nanofluid(Al2O3 and Cu) past a vertical permeable stretchy/shrinky plate of the Tiwari–Das model is considered. The formulated governing model along with boundary conditions was converted into coupled ordinary differential equations and the resulting model was numerically solved using the Chebyshev collocation technique. It can be deduced that nanoparticles presence are seen to reduce the velocity of the flow. It has been noted that higher viscous dissipation enlarges the temperature of the system. Also, skin friction and Nusselt number can be enhanced by improving the fraction of the nanoparticles.