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Magnetohydrodynamics (MHD) Effects on Heat Generation and Joule Heating with Non-Uniform Surface Temperature and Natural Convection Flow over a Vertical Flat Plate


Modina Akter1, Sree Pradip Kumer Sarker1*, and Md. Mahmud Alam2 

1,2Department of Mathematics, Dhaka University of Engineering & Technology (DUET), Gazipur, Bangladesh.

*Correspondence: pradip.duet@gmail.com (Sree Pradip Kumer Sarker, PhD Researcher, Department of Mathematics, Dhaka University of Engineering & Technology (DUET), Gazipur, Bangladesh).

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ABSTRACT 

The effects of heat generation on the Magnetohydrodynamics (MHD) natural convection flow along a vertical flat plate with non-uniform surface temperature are analyzed. The governing differential equations are transformed by introducing appropriate non-similarity variables to render them dimensionless, and then numerically resolved. Results for the details of velocity profiles, temperature profiles, local skin frictions, and rate of heat transfer are displayed graphically, and numerical tabulated data for skin friction and rate of local heat transfer are entered in tables with heat generation parameters and Joule Heating parameters. 

Keywords: Magnetohydrodynamics (MHD), Natural convection, Joule heating, Heat generation.

Citation: Akter M, Sarker SPK, and Alam MM. (2023). Magnetohydrodynamics (MHD) effects on heat generation and joule heating with non-uniform surface temperature and natural convection flow over a vertical flat plate, Int. J. Mat. Math. Sci., 5(2), 09-18. https://doi.org/10.34104/ijmms.023.09018


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