Unsteady Transient Free Convective Flow of an Incompressible Viscous Fluid under Influence of Uniform Transverse Magnetic Field

Authors: Praveen Saraswat, Vipin Kumar Verma, Rudraman Singh

Abstract:

The unsteady transient free convection flow of an incompressible dissipative viscous fluid between parallel plates at different distances have been investigated under porous medium. Due to presence of heat flux under the influence of uniform transverse magnetic field the velocity distribution and the temperature distribution, is shown graphically. Since exact solution is not possible so we find parametrical solution by perturbation technique. The result is shown in graph for different parameters. We notice that heat generation effects fluid velocity keeping in which of free convection which cools.

Keywords: Transient, Convection, MHD, Viscous, Porous.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1337061

References:

[1] Agrawal, A.K. and B. Kishor, (1989): "Effects of MHD Free Convection and Mass Transfer on the Flow Past a Vibrating Infinite Vertical Circular Cylinder", Warme-und Stoffubertragung 24, 243-250.
[2] Amakiri, A.R.C. and A. Ogulu (2006): "The Effect of Viscous Dissipative Heat and Uniform Magnetic Field on the Free Convective Flow through a Porous Medium with Heat Generator/Abruption", European Journal of Scientific Research, 15, 436–445.
[3] Gebhart, B. and J. Mollendrof (1969): "Buoyancy Induced Flow in Water Conditions in Which Density Extrema May Aries", J. Fluid Mech., 35, 439–445.
[4] Raptis, A.A., N.G. Kafousias and C. Massalas (1981): "Free Convection Flow through a Porous Medium Bounded by an Infinite Vertical Porous Plate with Constant Heat Flux", Reg. I. Energy Heat Mass Transfer, 3 (4), 279–283.
[5] Siegel, R. (1958): "Transient Free Convection from a Vertical Flat Plate", Transaction of the American Societies of Mechanical Engineers (A.S.M.E.), 80, 347–359.
[6] Soundalgekar, V.M. and Pop. I (1974): "Viscous Dissipation Effects on Unsteady Free Convection Flow Past an Infinite Vertical Porous Plate with Variable Suction", Int. J. Heal and Mass Transfer, 17(1), 85-92.
[7] Varshney, N.K. and S. Kumar (2004): "Effects of Thermal Diffusion on Steady Laminar Free Convective Flow along a Moving Porous Hot Vertical Plate in the Presence of Heat Source with Mass Transfer", Acta Ciencia Indica, 30(2), 489–495.