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Effects of heat and mass transfer on MHD nonlinear free convection non‐Newtonian fluids flow embedded in a thermally stratified porous medium
Author(s) -
Tharapatla Gladys,
RajKumari Pamula,
Ramana Reddy Gurrampati V.
Publication year - 2021
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.22037
Subject(s) - mechanics , partial differential equation , magnetohydrodynamics , homotopy analysis method , boundary layer , heat transfer , thermodynamics , thermal radiation , combined forced and natural convection , mass transfer , convective heat transfer , heat generation , boundary value problem , natural convection , nonlinear system , physics , mathematics , mathematical analysis , magnetic field , quantum mechanics
This communication examines heat alongside mass transport in a nonlinear free convection magnetohydrodynamics (MHD) non‐Newtonian fluid flow with thermal radiation and heat generation deep‐rooted in a thermally stratified penetrable medium. The Casson and Williamson fluid considered in this communication flos simultaneously across the boundary layer and are mixed together. The model of heat alongside mass transport is set up with chemical reaction and thermal radiation alongside heat generation to form a system of partial differential equations (PDEs). Appropriate similarity variables are used to simplify the PDEs to obtain systems of coupled ordinary differential equations. An efficiently developed numerical approach called the spectral homotopy analysis method was used in providing solutions to the transformed equations. A large value of Casson term is observed to degenerate the velocity plot while the Williamson parameter enhances the velocity profile. The parameter of thermal stratification is found to enhance the rate of heat transport within the boundary layer. An incremental value of the magnetic parameter declines the velocity of the fluid and the entire boundary layer thickness. The present result was compared with previous studies and was seen to be in good agreement.