Herschel Bulkley Papanastasiou flow of micropolar fluids under the effect of bioconvection over a stretching sheet through a porous medium with multiple slips

Abstract The analysis of Herschel Bulkley Papanastasiou flow over a stretching surface is analyzed in this research work. This fluid model makes the jump condition in yield stress continuous by mathematical means and hence convergence in numerical computation becomes easy. This fluid model changes velocity, heat and mass transfer as well as their relevant parameters such as friction factor, Nusselt number, Sherwood number and couple stress. This research is significant for energy generation, manufacturing processes and biological transports. The governing (nonlinear partial differential) equations which are formulated from momentum, micro-rotation, energy and diffusion of mass equations are transformed to ordinary differential equations using similarity transformations. The governing (nonlinear partial differential) equations, which are momentum, micro-rotation, energy, and mass diffusion equations, have been simplified through similar transformations. The implicit finite difference method (FDM) has been utilized for the transformation of ODEs. The calculation and analysis of the steady laminar boundary layer flow of regularized Herschel-Bulkley micropolar fluids over a stretching sheet in the case of viscous dissipation and chemical reaction have been done. The validation of the current solution is carried out by comparing it with the MATLAB bvp5c code with some changes. Thickness of the boundary layer in the axial velocity not necessarily smaller than temperature or concentration depending on the values of the field variables. Influence of the flow, heat, and concentration parameters and several slip boundary conditions on the dimensionless velocities, temperature and concentration as well as on the physical quantities such as friction factor, Nusselt number, Sherwood number and couple stress are shown in Tables and graphs. Comparisons have been made between the present and available, exact, analytical and numerical works. Agreement is very good between the available, exact, analytical and numerical works.