Stokes’ first problem for a second grade fluid in a porous half-space with heated boundary

Based on a modified Darcy's law, Stokes’ first problem was investigated for a second grade fluid in a porous half-space with a heated flat plate. Exact solutions of the velocity and temperature fields were obtained using Fourier sine transforms. In contrast to the classical Stokes’ first proble...

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Bibliographic Details
Published in:International journal of non-linear mechanics 2005-05, Vol.40 (4), p.515-522
Main Authors: Tan, Wenchang, Masuoka, Takashi
Format: Article
Language:English
Subjects:
Analytical solution
Heat transfer
Modified Darcy's law
Porous media
Second grade fluid
Stokes’ first problem
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Summary:Based on a modified Darcy's law, Stokes’ first problem was investigated for a second grade fluid in a porous half-space with a heated flat plate. Exact solutions of the velocity and temperature fields were obtained using Fourier sine transforms. In contrast to the classical Stokes’ first problem, there is a steady-state solution for the second grade fluid in the porous half-space, which is a damping exponential function with respect to the distance from the flat plate. The well-known solutions for Newtonian fluids in non-porous or porous half-space appear in limiting cases of our solutions.
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2004.07.016