The purpose of this research is to investigate the influence that slip boundary conditions have on the rate of heat and mass transfer by examining the behavior of micropolar MHD flow across a porous stretching sheet. In addition to this, the impacts of thermal radiation and viscous dissipation are taken into account. With the use of various computing strategies, numerical results have been produced. Similarity transformation was utilized in order to convert the partial differential equations (PDEs) that regulated energy, rotational momentum, concentration, and momentum into ordinary differential equations (ODEs). As compared to earlier published research, MATLAB inbuilt solver solution shows an extremely good correlation in exceptional instances. In exceptional instances, the present MATLAB inbuilt solver solution has a very excellent connection with the findings of the previously published investigations. A variety of flow field factors impact the Nusselt number, the wall couple shear stress, the friction factor, Sherwood numbers the dimensionless distributions discussed in detail. When the Eckert number rises, the temperature rises, and the Schmidt number falls, the concentration falls. Velocity increases with increases in the material factor but drops with increases in the magnetic parameter and the surface condition factor.

An analysis is investigated for this study of the magnetohydrodynamics heat transfer flow of the micropolar fluid over a vertical porous moving plate in the existence of the radiation effect. The numerical elucidations of the governing equations achieved for various values of flow fields are taken out for the several parameters inflowing into the problem and solved by raising the Galerkin finite element technique. By taking the range of the magnetic field parameter 0 ≤ M ≤ 5, the range of viscosity ratio parameter is 0 ≤ β ≤ 5, and micro-gyration parameter is 0 ≤ n ≤ 5, whereas the value of Grashof number lies in 0 ≤ Gr ≤ 2 and −2 ≤ Gr ≤ 0. The numerical results and impact on the translation velocity and temperature are presented and discussed through graphs and listed in the tables. With an increase of β and Gr, the velocity increases, and the reverse effect is found with enhancing of M and n. With enhanced values of M, n, Pr, and R, the result in C_f rises.