An oscillating hydromagnetic non-Newtonian flow in a rotating system. (English) Zbl 1060.76130

Summary: We obtain an exact solution of an oscillatory boundary layer flow bounded by two horizontal flat plates, one of which is oscillating in its own plane and the other is at rest. The fluid and the plates are in a state of solid body rotation with constant angular velocity about the \(z\)-axis normal to the plates. The fluid is assumed to be second-grade, incompressible, and electrically conducting. A uniform transverse magnetic field is applied. During the mathematical analysis, it is found that the steady part of the solution is identical to that of viscous fluid. The structure of the boundary layers is also discussed. Several known results are found as particular cases of the solution of the problem considered.


76W05 Magnetohydrodynamics and electrohydrodynamics
76A05 Non-Newtonian fluids
76U05 General theory of rotating fluids
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