An analytic solution of the flow of a second-grade fluid on a porous plate is constructed. The porous plate is executing oscillations in its own plane with superimposed injection or suction. An increasing or decreasing velocity amplitude of the oscillating porous plate is also examined. It is also shown that in case of second-grade fluid, a combination of suction/injection and decreasing/increasing velocity amplitude is possible as well. Several limiting situations with their implications are given and discussed.
SUMMARYThe oscillatory ow of a viscoelastic uid in a circular pipe under the in uence of a transversal magnetic ÿeld is studied. Exact solutions for the axial velocity and ow rate are presented. The velocity enhancement and the resonance behaviour are analysed both numerically and asymptotically in the case of small pipe radii.Approximations for the resonance frequencies and the achievable velocity enhancements are derived.
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