Stokes' first problem for a second grade fluid in a porous half-space with heated boundary
Stokes' first problem for a second grade fluid in a porous half-space with heated boundary
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DOI：
10.1016/j.ijnonlinmec.2004.07.016
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发表时间：
2005-05-01
影响因子：
3.2
通讯作者：
Masuoka, T
中科院分区：
文献类型：
--
作者：
Tan, WC;Masuoka, T
基于修正的达西定律，研究了多孔半空间中二阶流体与加热平板的Stokes第一问题。利用傅立叶正弦变换得到了速度场和温度场的精确解。与经典的Stokes第一问题不同，多孔半空间中的二阶流体存在一个稳态解，它是关于到平板距离的阻尼指数函数。牛顿流体在无孔或多孔半空间中的已知解出现在我们解的极限情况下。(C)2004爱思唯尔有限公司保留所有权利。
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. (C) 2004 Elsevier Ltd. All rights reserved.