Abstract
A study of magnetic hydrodynamic free convective flow past an infinite vertical porous plate in an incompressible electrically conducting fluid is considered. The investigation of the effect of viscous dissipation on the velocity profiles and temperature distribution of the fluid in the presence of a transverse magnetic field subject to a constant suction velocity is conducted. The ordinary differential equations governing the flows are analyzed using an explicit finite-difference scheme and computer generated programs. The results are presented in graphical form showing the effects of the various parameters arising in the flow. The numerical results of the study show that an increase in the viscous dissipation causes an increase in the velocity profiles and temperature distribution of the fluid.
Highlights
The numerical results of the study show that an increase in the viscous dissipation causes an increase in the velocity profiles and temperature distribution of the fluid
Magnetic hydrodynamics is the study of the interaction of electrically conducting fluids with magnetic fields
Geometry of the Problem In this case, we investigated the effect of viscous dissipation on a magnetic hydrodynamic free convective flow past an infinite vertical porous plate
Summary
Magnetic hydrodynamics is the study of the interaction of electrically conducting fluids with magnetic fields. Viscous dissipation is the process by which the moving layers of an electrically conducting fluid produce internal fluid friction which offers resistance to the fluid flow. At low velocities the fluid tends to flow without lateral mixing, and adjacent layers slide past one another. The effect of applied variable magnetic field on unsteady free convection flow along a vertical plate has been given special interest because of its applications in the cooling of nuclear reactors or in the study of structures of stars and planets. Important engineering applications in which the study of MHD flows with variable magnetic fields includes power generators, heat exchangers, reactors and MHD accelerators among other devices
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