Computational analysis for enhancement of heat and mass transfer in MHD-polymer with hybrid nano-particles using generalized laws

Abstract

Novel models for heat flux with laws of linear and angular momenta and convection-diffusion equation for heat are used for the formulation of system of problems associated with the flow of polymer (micropolar fluid) over a cylindrical heated body elongating in a radial direction with non-uniform velocity. Spin gradient and vortex effects with couple stresses are taken into account. Problems are solved using the finite element method (FEM) with Galerkin approximation. Grid-independent and convergent solutions are derived. The results for special cases are compared and validated with published benchmarks. Simulations are used to assess the impact of parameters on flow variables based on the convergent solutions. Simulated results are displayed in the form of velocity, temperature and concentration graphs. Thermal relaxation time corresponds to thermal elastic behaviour and is responsible to make the fluid to restore the thermal equilibrium. This thermal relaxation phenomenon helps in reducing the width of the thermal region. The angular motion of fluid particles has been shown to be affected less by vortex viscosity. Vortex viscosity has shown a greater impact on the motion of Cu−Ag− polymer relative that on Cu− polymer. Thermal performance of Cu−Ag− polymer is better than the thermal enhancement of Cu− polymer. Due to Joule heating, hybrid nanofluid dissipates more heat relative to the nanofluid. Vortex viscosity plays vital role in controlling the thermal region. Heat flux has shown an increase as a function of thermal relaxation time.