Effects of the hydromagnetic free convection on the oscillatory flow of a viscous incompressible fluid past a porous limiting surface

Computer Science – Numerical Analysis

Scientific paper

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Fluid Flow, Free Convection, Incompressible Fluids, Magnetohydrodynamic Flow, Oscillating Flow, Porous Boundary Layer Control, Viscous Fluids, Conducting Fluids, Convective Flow, Current Density, Flow Equations, Flow Velocity, Numerical Analysis, Skin Friction, Two Dimensional Flow, Unsteady Flow, Velocity Distribution

Scientific paper

The unsteady two-dimensional free convection flow of a viscous incompressible and electrically conducting fluid past an infinite nonconducting and nonmagnetic porous limiting surface (e.g., of a star) through which suction with uniform velocity occurs is considered when the free-stream velocity, the temperature of the limiting surface, and the induced magnetic field are oscillating in time about a constant mean value. Expressions in closed form for the velocity, the skin friction, the displacement thickness, the induced magnetic field, and the electrical current density are obtained by means of the two-sided Laplace transform technique, when the magnetic Prandtl number and the Prandtl number are equal to one, and the magnetic parameter is smaller than one. The effects of magnetic parameter, Grashof number, and nondimensional frequency are discussed.

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