Finite Difference Simulation of Nonlinear Convection in Magnetohydrodynamic Flow in the Presence of Viscous and Joule Dissipation over an Oscillating Plate

Engineers and researchers are interested in the study of nonlinear convection, viscous dissipation, and Joule heating in various flow configurations due to their various applications in engineering processes. That is why the present study deals with the influence of nonlinear convection, viscous, an...

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Bibliographic Details
Published in:Symmetry (Basel) 2022-10, Vol.14 (10), p.1988
Main Authors: Khan, Muhammad Samad, Siddiqui, Mubashir Ali, Afridi, Muhammad Idrees
Format: Article
Language:English
Subjects:
Convection heating
Energy
Engineering
Finite difference method
finite difference method (FDM)
Flat plates
Fluid dynamics
Fluid flow
Heat transfer
Incompressible flow
Incompressible fluids
Influence
joule heating
Magnetic fields
Magnetohydrodynamic flow
Magnetohydrodynamics
Nanoparticles
Newtonian fluids
non-linear convective flow
Non-Newtonian fluids
Ohmic dissipation
Polymers
Radiation
Resistance heating
Shear stress
unsteady flow
Velocity
Velocity distribution
viscous dissipation
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Summary:Engineers and researchers are interested in the study of nonlinear convection, viscous dissipation, and Joule heating in various flow configurations due to their various applications in engineering processes. That is why the present study deals with the influence of nonlinear convection, viscous, and Joule dissipation of the temperature and velocity profile of incompressible fluid over a flat plate. In this study, the magnetic field acts perpendicular to the fluid flow and is supposed to be of uniform magnitude. Further, the Newtonian fluid, which is electrically conducting, passes over an infinite vertical flat plate under an oscillatory motion. The term representing the influence of the nonlinear convection phenomenon is integrated into the Navier–Stokes equation. The governing equations of the mentioned study were modeled in the form of non-linear PDEs and modified as non-dimensional equations via appropriate scaling analyses, which resulted in coupled and non-linear PDEs. For the numerical solution of the transformed non-linear PDEs, the finite difference method was applied. Finally, we present the effects of various flow parameters via graphical illustrations.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14101988