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MHD flows of an Oldroyd-B fluid. (English) Zbl 1026.76060

Summary: Exact solutions for flows of an electrically conducting fluid over an infinite oscillatory plate in the presence of a transverse magnetic field are obtained when the entire system rotates about an axis normal to the plate. It is observed from the analysis that the governing differential equation for steady flow of Oldroyd-B fluid is identical to that of the viscous fluid. It is also shown that the difficulty of the corresponding hydrodynamic problem associated with the resonant frequency \(n = 2{\Omega}\) is automatically resolved in the present hydromagnetic analysis.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76A10 Viscoelastic fluids
76U05 General theory of rotating fluids
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