A group theoretic analysis on heat transfer in MHD thermally slip Carreau fluid subject to multiple flow regimes (MFRs)

Abstract

It is well believed that computational modelling is the best remedy to study heat transfer in complicated manmade or naturally occurring phenomena claimed in general sciences. Therefore, owning such an important belief, we proposed mathematical modelling and corresponding solution of heat transfer in Carreau fluid flow with physical effects namely, heat absorption and generation, thermal slip, magnetic field, porous medium, velocity slip, and chemical reaction. The Carreau flow field is controlled by constructing mathematical equations. Lie symmetry is used to obtain the particular scaling group of transformations. These transformations are carried to step down the higher dimensional equations in terms of ordinary differential equations. Carreau fluid velocity, Carreau temperature, Carreau concentration, Nusselt number, Sherwood number, and skin friction dependency are examined towards involved flow variables. The surface physical quantities are investigated in various frames namely, porous medium, non-porous medium, magnetized flow field, non-magnetized flow field, thermal slip, and non-thermal slip fields. For Carreau fluid flow field we have noticed that the Nusselt number shows direct relation with Prandtl number variation in both non-porous and porous mediums.

Keywords

• Heat transfer
• Thermal slip
• Porous medium
• Mathematical modelling
• Symmetry analysis