Stokes’ first problem for a second grade fluid in a porous half-space with heated boundary |
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Authors: | Wenchang Tan Takashi Masuoka |
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Affiliation: | a Department of Mechanical Engineering Science, Kyushu University, Fukuoka, 812-8581 Japan b Department of Mechanics and Engineering Science, State Key Lab for Turbulence and Complex System Research, Peking University, Beijing 100871, PR China |
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Abstract: | 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. |
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Keywords: | Second grade fluid Porous media Modified Darcy's law Analytical solution Stokes&rsquo first problem Heat transfer |
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