From a technical standpoint, free convection flow around an isothermal vertical flat plate in the presence of a magnetic field is very critical, and many researchers have studied such problems. The effects of variable viscosity and thermal conductivity on magneto hydrodynamics (MHD) natural convection flow over a heated vertical plate immersed in a fluid with stress work will be investigated in this research. The basic governing equations are converted into non-dimensional governing equations by using the necessary variables. These equations’ numerical calculations are carried out using an effective implicit finite-difference system. The Crank-Nicolson scheme is what it’s called. This research uses a viscous incompressible fluid with temperature-dependent viscosity and thermal conductivity. The two-dimensional laminar and unsteady boundary layer equations are discussed here. The effect of various parameters on velocity, temperature, local skin friction, local Nusselt number, average skin friction, and average Nusselt number profiles will be seen in this analysis, and the results will be compared to those of other researchers. We’ll also make a comparison between the current work’s figures and those from previous publications.
Keywords: Dependent Thermal Conductivity, Magneto-Hydrodynamics, Steady-state, Variable viscosity
