Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630489 | Applied Mathematics and Computation | 2012 | 16 Pages |
Abstract
In this paper, we study the unsteady motion of an inhomogeneous incompressible viscous fluid, where the viscosity varies spatially according to various models. We study the Stokes-type flow for these types of fluids where in the first case the flow between two parallel plates is examined with one of the plates oscillating and in the second case when the flow is caused by a pulsatile pressure gradient. A general argument establishes the existence of oscillatory solutions to our problem. Exact solutions are obtained in terms of some special functions and comparisons are made with the cases of constant viscosity and the slow flow regimes.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mehrdad Massoudi, Ashwin Vaidya,