Starting solutions for some unsteady unidirectional flows of a second grade fluid

Exact solutions corresponding to the motions of a second grade fluid, due to the cosine and sine oscillations of an infinite flat plate as well as those induced by an oscillating pressure gradient are determined by means of the Fourier sine transforms. These solutions, presented as sum of the steady...

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Bibliographic Details
Published in:International journal of engineering science 2005-06, Vol.43 (10), p.781-789
Main Authors: Fetecau, C., Fetecau, Corina
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
General theory
Oscillating plate
Oscillating pressure gradient
Physics
Second grade fluid
Starting solutions
Unsteady unidirectional flows
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Summary:Exact solutions corresponding to the motions of a second grade fluid, due to the cosine and sine oscillations of an infinite flat plate as well as those induced by an oscillating pressure gradient are determined by means of the Fourier sine transforms. These solutions, presented as sum of the steady-state and transient solutions, satisfy both the governing equations and all associate initial and boundary conditions. In the special case when α 1 → 0, they reduce to those for a Navier–Stokes fluid.
ISSN:0020-7225
1879-2197
DOI:10.1016/j.ijengsci.2004.12.009