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Rotating flow of a second-order fluid on a porous plate. (English) Zbl 1348.76149

Summary: A study is made of the unsteady flow engendered in a second-order incompressible, rotating fluid by an infinite porous plate exhibiting non-torsional oscillation of a given frequency. The porous character of the plate and the non-Newtonian effect of the fluid increase the order of the partial differential equation (it increases up to third order). The solution of the initial value problem is obtained by the method of Laplace transform. The effect of material parameters on the flow is given explicitly and several limiting cases are deduced. It is found that a non-Newtonian effect is present in the velocity field for both the unsteady and steady-state cases. Once again for a second-order fluid, it is also found that except for the resonant case the asymptotic steady solution exists for blowing. Furthermore, the structure of the associated boundary layers is determined.

MSC:

76S05 Flows in porous media; filtration; seepage
76U05 General theory of rotating fluids
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
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