Abstract: A mathematical model of a two-dimension magnetohydrodynamic (MHD) free convection fluid flow that is turbulent and past a vertical infinite porous plate is developed. The fluid flow is impulsively started to in x-direction. Flow problem modeled using conservation of momentum, and conservation of energy equations. The arising partial differential equations, which are nonlinear, are solved numerically using explicit finite difference scheme. Simulation of the discretized equations is done using MATLAB. The impacts of flow parameters on velocities and temperature profiles such as Magnetic parameter (M), Hall parameter (m), and Prandtl number (Pr) were examined. It is evident from the results that during the cooling of the plate (Gr>0), the primary velocity decreases with decrease in Hall parameter, m, and increase in magnetic parameter, M. It also decreases as the prandtl number, Pr, is increased. The secondary velocity decreases with decrease in Hall parameter, m, and increase in magnetic parameter, M. It also decreases as the prandtl number, Pr is increased.The results also shows that there is no significant effect on temperature profile as the Hall parameter is decreased. There is also no significant change as the magnetic parameter is increased. It is also evident that there is a decrease in temperature profile when the Prandtl number is increased.

Key words: Porous plate, Free Convection, Magnetohydrodynamic, Turbulent, Finite difference

Works Cited:

W. C. Kemboi, W.O. Mukuna* and J.K. Rotich " MODELING AND ANALYSIS OF MAGNETOHYDRODYNAMIC FREE CONVECTION TURBULENT FLUID FLOW PAST A VERTICAL INFINITE POROUS PLATE", IARJSET International Advanced Research Journal in Science, Engineering and Technology, vol. 10, no. 5, pp. 417-425, 2023. Crossref https://doi.org/10.17148/IARJSET.2023.10555

| DOI: 10.17148/IARJSET.2023.10555