Cattaneo-Christov double diffusive and model development for entropy optimized flow of Reiner-Rivlin material in thermal system and environmental effect

Abstract

Here we analyze magnetohydrodynamic flow of Reiner-Rivlin material. Thermal and solutal fluxes are discussed through Cattaneo-Christov flux models. Variable mass diffusivity and thermal conductivity characteristics are incorporated. Entropy rate is calculated. Non-linear differential systems are reduced to non-dimensional system through appropriate transformations. The obtained non-linear dimensionless system are analytically computed through optimal homotopy analysis method (OHAM). Graphical aspects of liquid flow, entropy optimization, concentration and thermal field versus influential variables are explored. It is found that fluid flow reduces against magnetic field variation. Temperature boosts against higher thermal relaxation time. An increment in thermal field is witnessed versus thermal conductivity variable. Clearly concentration enhances against higher solutal relaxation time. Augmentation in entropy generation occurs versus magnetic field. Higher diffusion variable result in entropy optimization enhancement. Higher thermal conductivity variable lead to boost of entropy rate. An enhancement in entropy rate is detected for mass diffusivity parameter.

Keywords

• Reiner-Rivlin liquid
• Cattaneo-Christov flux models
• Temperature dependent thermal conductivity
• Entropy generation and concentration dependent mass diffusivity