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Research Article Open access CC BY 4.0

Effect of Variable Viscosity and Thermal Conductivity on MHD Natural Convection Flow along a Vertical Flat Plate

Sree Pradip Kumer Sarker, Md. M. Alam

Journal of Advances in Mathematics and Computer Science · pp. 58–71 · Published 22 Apr 2021

10.9734/jamcs/2021/v36i330347

Abstract

Free convection flow around a heated vertical flat plate in the presence of a magnetic field is very important from the technical standpoint, and several researchers have studied this issue. The effects of variable viscosity and thermal conductivity on Magneto-Hydrodynamics (MHD) free convection flow over an isothermal vertical plate immersed in a fluid with heat conduction will be studied in this study. The two-dimensional, laminar, and unsteady boundary layer equations are considered in this paper. Using relevant variables, simple governing equations are transformed into non-dimensional governing equations. The implicit finite difference scheme, also known as the Crank-Nicolson scheme, is used to solve these equations numerically. This research looks at viscous incompressible fluids with temperature-dependent viscosity and thermal conductivity. The effect of various parameters on velocity, temperature, local skin friction, and local heat transfer coefficient profiles will be shown in this study, and the results will be compared to those of other researchers. The current numerical results will be compared to the results of previously published works. Figures from the current thesis will be compared to those from previously published works. The outcomes result will be shown in graphs for various values of relevant physical parameters.

Steady state magneto-hydrodynamics dependent viscosity dependent thermal conductivity

Cited by 14

MHD and Heat Generation Along a Vertical Flat Plate with Variable Viscosity and Viscous Dissipation: A Numerical Solution

Sirazum Munira, Sree Pradip Kumer Sarker, Md. Mahbub Alam · International Journal of Mathematics and Statistics Studies · 2022

Impact of Varying Thermal Conductivity and Viscosity on Natural Convection Flow Along a Vertical Flat Plate with Heat Conduction and Viscous Dissipation

Md. Al-Amin, Md. Mahbub Alam, Sree Pradip Kumer Sarker · American Journal of Physics and Applications · 2025

Combined convection of an exothermic fluid with varying viscosity due to asymmetric/symmetric heating

Godwin Ojemeri, Michael O. Oni, Cephas Iko-Ojo Gabriel · International Communications in Heat and Mass Transfer · 2026

The impact of variable fluid properties on natural convection flow past a vertical cone

Darbhashayanam Srinivasacharya, Bhanoth Rajender · Journal of Applied Mathematics and Computational Mechanics · 2022

Computational analysis of climate change due to hydrosphere temperature variations, evaporation and atmospheric thermal radiation

Hossam A. Nabwey, Rabia Iqbal, Muhammad Ashraf · Case Studies in Thermal Engineering · 2026

Impact of Temperature‐Dependent Variable Viscosity on Arrhenius‐Controlled Heat Transfer Flow in a Microchannel

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