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Zbl 1096.76060
Hayat, T.; Ellahi, R.; Asghar, S.
Unsteady periodic flows lows of a magnetohydrodynamic fluid due to noncoxial rotations of a porous disk and a fluid at infinity. (English)
[J] Math. Comput. Modelling 40, No. 1-2, 173-179 (2004). ISSN 0895-7177

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.
[S. C. Rajvanshi (Chandigarh)]

MSC 2000:: *76W05 Flows in presence of electromagnetic forces
76S05 Flows in porous media
76U05 Rotating fluids
76M45 Asymptotic methods, singular perturbations

Keywords: asymptotic solution; resonance; Laplace transform

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