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Unsteady periodic flows lows of a magnetohydrodynamic fluid due to noncoxial rotations of a porous disk and a fluid at infinity. (English) Zbl 1096.76060
The paper deals with unsteady periodic MHD flows of an electrically conducting fluid rotating at infinity and bounded by non-conducting porous disk with uniform cross-flow in the presence of transverse magnetic field. The disk performs non-coaxial periodic oscillations. The analysis uses Fourier series representation. It has been possible to present exact solutions which are valid for large and small times. Further analysis involves the use of Laplace transform to discuss the combined effects of transverse magnetic field, suction, blowing and non-coaxial rotations.
MSC:
76W05Magnetohydrodynamics and electrohydrodynamics
76S05Flows in porous media; filtration; seepage
76U05Rotating fluids
76M45Asymptotic methods, singular perturbations (fluid mechanics)