Starting solutions for some simple oscillating motions of second-grade fluids

C. Fetecau and Corina Fetecau

Mathematical Problems in Engineering, 2006, vol. 2006, 1-9

Abstract:

The exact starting solutions corresponding to the motions of a second-grade fluid, due to the cosine and sine oscillations of an infinite edge and of an infinite duct of rectangular cross-section as well as those induced by an oscillating pressure gradient in such a duct, are determined by means of the double 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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:023587

DOI: 10.1155/MPE/2006/23587

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