Abstract
The present study delivers the mathematical model and theoretical analysis of a three-dimensional flow in a free convection for an electrically conducting incompressible second-grade fluid through a very high porous medium circumscribed by an infinite vertical porous plate subject to a constant suction. A uniform magnetic field along the normal to the surface of plate is applied. Periodic permeability for the medium is assumed, while velocity of free stream is taken to be uniform. Analytic expressions are presented for velocity and temperature fields, pressure, and skin friction components by perturbation technique. The impacts on these physical quantities by the physical parameters existing in the model are discussed and envisioned graphically. It is interesting to note that elastic and permeability parameters are able to control the skin friction along the main flow direction, magnetic field to reduce the pressure, and Reynolds number to control the thermal boundary layer thickness. It is also noted that temperature distribution does not depend upon permeability parameter.
Highlights
In the above studies the fluid flows were supposed electrically nonconducting
Magnetic fields influence many natural and man-made flows. ey are routinely used in industries to heat, pump, stir, and levitate liquid metals. ere is the terrestrial magnetic field which is maintained by fluid motion in the earth’s core, the solar magnetic field which generates sunspots and solar flares, and Mathematical Problems in Engineering the galactic field which influences the formation of stars. e flow problems of an electrically conducting fluid under the influence of magnetic field have attracted the interest of many authors in view of their applications to geophysics, astrophysics, and engineering, and to the boundary layer control in the field of aerodynamics
Ahmed [9] put forward getting the effects of electrically conducted fluid for mixed convective flows with periodic suction velocity and magnetic field through porous vertical plate
Summary
In the above studies the fluid flows were supposed electrically nonconducting.
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