Magnetohydrodynamic flow of viscous fluid and heat transfer analysis between permeable discs: Keller-box solution

In this study, we looked at a two-dimensional constant, laminar, and incompressible viscous flow between two porous discs in the presence of an external magnetic field. The proper similarity transformations simplify the complicated governing problem to nonlinear differential equations with suitable velocity slip and other boundary conditions. The Keller-box method, an efficient finite-difference approach, is used to get its solutions. The purpose of this analysis is to investigate the effect of non-zero tangential slip velocity on velocity, temperature profiles, and shear stress for various relevant parameters. The data is then displayed in tables and graphs to examine velocity and temperature profiles for different flow parameters such as Reynolds number, Hartmann number, Prandtl number, and slip coefficient. In the absence of slip, the results were quite similar to previous findings.

Automated summary

This study examined a two-dimensional viscous flow between porous discs under an external magnetic field, simplifying the problem to nonlinear differential equations with suitable boundary conditions. The Keller-box method was used to obtain solutions, showing the impact of non-zero tangential slip velocity on velocity, temperature profiles, and shear stress for different parameters. Results revealed that the presence of slip velocity altered the effects of flow parameters.