Heat and mass transfer analysis of chemically reactive non-Newtonian fluid with the implementation of generalized Fourier’s and Fick’s laws over a vertical sheet

This article focuses on the 2D nonlinear mixed convective MHD Casson fluid flow influenced by the gyrotactic microorganism boundary layer and nonlinear thermal radiation across the vertical stretching sheet. The solutal and thermal energy analysis is established applying the Cattaneo–Christov theory and thermophoretic impact. The stratification boundary condition and injection/suction effects are imposed on the surface of the boundary. The developed flow model PDEs are assimilated into nonlinear ODEs using appropriative conversion. The built-in Bvp4c Matlab approach is used on the converted nonlinear equations. It is analyzed from the graph that the stronger estimation of magnetic and Casson fluid parameters declines the fluid velocity by the occurrence of resistive forces. More heat transfer in the fluid was due to a larger estimation of radiation parameter. Additionally, it is found from the numerical values of tables that the improvement occurs in the skin friction with the augmentation of buoyancy ratio and mixed convection parameter.