Journal
INTERNATIONAL JOURNAL OF FLUID MECHANICS RESEARCH
Volume 46, Issue 1, Pages 1-25Publisher
BEGELL HOUSE INC
DOI: 10.1615/InterJFluidMechRes.2018025004
Keywords
heat and mass transfer; infinite vertical flat plate; Laplace transform technique; MHD flows; porous medium
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In this paper, we consider the unsteady magnetohydrodynamic free convection flow of an electrically conducting viscous incompressible and heat-absorbing fluid through a porous medium over an infinite vertical flat plate under the influence of uniform transverse magnetic field. The flow is induced by a general time-dependent movement of a vertical plate. The flow through the porous medium is governed by Brinkman's model for the momentum equation. The exact solutions for the velocity, temperature, and concentration are obtained making use of the Laplace transform technique. The influence of various governing flow parameters on the velocity, temperature, and concentration is analyzed graphically, and numerical solutions for the skin friction, Nusselt number, and Sherwood number are also obtained in tabular forms for both ramped temperature and isothermal plates. Some important applications of practical interest are also discussed for different types of plate motions.
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