Investigation of Stokes' second problem for non-Newtonian fluids
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Date
2014-06-12
Authors
Rikhotso, Deals Shaun
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Abstract
The motion of an incompressible fluid caused by the oscillation of a plane at plate of in nite length is termed Stokes' second problem. We assume zero velocity normal to the plate and thus simpli ed Navier-Stokes equations.
For the unsteady Stokes' second problem, solutions may be obtained by
using Laplace transforms, perturbation techniques, homotopy, di erential
transform method or Adomian decomposition method. Stokes' second problem
is discussed for second-grade and Oldroyd-B non-Newtonian fluids. This dissertation summarizes previously published work.