International Journal of Mathematics and Statistics Studies (IJMSS)

# Magneto Hydrodynamic (MHD)

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

Numerous researchers have looked into the importance of natural convection in the context of engineering, and this topic has been extensively studied. This study investigates the nature of heat generation and viscous dissipation in MHD natural convection flow with changing viscosity. Laminar flow and boundary layer equations with unstable boundaries in two dimensions are the subject of this article. The fundamental governing equation is turned into a dimensionless governing equation by using the necessary variables. The Crank Nicolson scheme is an efficient implicit finite difference approach for numerical computations of these equations. Heat generation and viscosity dissipation owing to MHD and changing viscosity were explored in this work. Several effects of various parameters are demonstrated in this study, and they are compared to the velocity and temperature profiles, skin friction, and local heat transfer coefficients of other researchers. Compare the present numerical results to the work outcomes that were previously released. It also compares the number of works available to the number of works published previously. The results are given in both figures and tables for various values of related physical parameters.

Sirazum Munira, Sree Pradip Kumer Sarker, Md. M. Alam (2022) MHD and Heat Generation Along a Vertical Flat Plate with Variable Viscosity and Viscous Dissipation: A Numerical Solution, International Journal of Mathematics and Statistics Studies, Vol.10, No.4, pp.78-94,

## MHD Forced Convection in a Horizontal Double Passage with Uniform Wall Heat Flux (Published)

The MHD forced convection in a horizontal double – passage with uniform wall heat flux has been studied by taking into account the effect of magnetic parameter . The flow of the fluid is assumed to be laminar, two – dimensional, steady and fully developed. The fluid is incompressible and the physical properties are constants. The walls are kept at uniform heat fluxes. A uniform magnetic field is applied and is assumed undisturbed as the induced magnetic field is neglected by assuming small Reynolds number .The solutions of the velocity profiles and the temperature profiles are obtained analytically. It is pointed out that the effect of MHD forced convection in a horizontal double – passage enhances the effect of flow at the passage 2 than passage 1.

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