Heat transfer of chemically reacting mixed convection fluid using convective surface condition: Non-Darcy model

Abstract

This work reports the study of mixed convection of permeable fluid with Robin conditions in the vertical channel including the effects of chemical reactions. The fluid transport is designed by the Darcy-Forchheimer-Brinkman model. The series method is adopted for approximate solutions for governing equations considering the Brinkman number as the perturbation characteristic whose outcomes correspond to magnitudes of Brinkman number less than one. Adopting a numerical scheme followed by fourth order Runge–Kutta algorithm with shooting method, the solutions for bigger magnitudes of the Brinkman number are obtained. The present results for limiting cases are compared with the literature and good agreement is seen. For various values of thermal and mass Grashof numbers, porous parameter, inertial parameter, Darcy number and first order chemical reaction the problem is resolved for the same and distant Biot numbers reflecting the border temperatures symmetric and asymmetric. Finally, the outcomes are tabulated for wall friction parameters, Nusselt and Sherwood numbers for innovated parameters. It is noticed that enhancing buoyancy and dissipations, thermal Grashof number helps to improve the flow rate for all values of Biot number. The Schmidt and Soret parameters can improve concentration patterns. Nusselt number can be improved with thermal Grashof number and Brinkman number and it is dropped with inertia and porous parameters. The solutions have a very good agreement with Zanchini data without mass Grashof number.