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

被引：356

作者：

Tan, WC ^{[1
]}

Masuoka, T

机构：

[1] Peking Univ, Dept Engn Sci & Mech, State Key Lab Turbulence & Complex Syst Res, Beijing 100871, Peoples R China

[2] Kyushu Univ, Dept Mech Engn Sci, Fukuoka 8128581, Japan

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2005年 / 40卷 / 04期

基金：

日本学术振兴会; 中国国家自然科学基金;

关键词：

second grade fluid; porous media; modified Darcy's law; analytical solution; stokes' first problem; heat transfer;

D O I：

10.1016/j.ijnonlinmec.2004.07.016

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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.

引用

页码：515 / 522

页数：8

共 30 条

[1] A new model for viscous dissipation in porous media across a range of permeability values [J].