STOKES FIRST PROBLEM FOR AN OLDROYD-B FLUID IN A POROUS HALF SPACE
STOKES FIRST PROBLEM FOR AN OLDROYD-B FLUID IN A POROUS HALF SPACE
复制标题
DOI：
10.1063/1.1850409
复制
发表时间：
2005-01
影响因子：
4.6
通讯作者：
Wenchang Tan;T. Masuoka
中科院分区：
文献类型：
--
作者：
Wenchang Tan;T. Masuoka
基于粘弹性流体的修正达西定律，将Stokes第一问题推广到多孔半空间中的Oldroyd-B流体。利用傅立叶正弦变换，得到了精确解。与经典的Stokes第一个透明流体问题不同，Oldroyd-B流体在多孔半空间中存在一个y相关的定态解，它是关于到平板的距离的衰减指数函数。边界层的厚度往往是一个极限值，也不同于透明流体的厚度。研究了粘弹性对多孔介质中非定常渗流的影响。结果表明，当α>；1/4[(αt/Re)+Re]2时，系统表现出明显的速度振荡和粘弹性行为，其中α和αt分别为无量纲松弛时间和延迟时间，Re为多孔介质中的雷诺数。本文给出了与麦克斯韦流体和牛顿流体相对应的Stokes第一问题的一些前人的解。
Based on a modified Darcy’s law for a viscoelastic fluid, Stokes’ first problem was extended to that for an Oldroyd-B fluid in a porous half space. By using Fourier sine transform, an exact solution was obtained. In contrast to the classical Stokes’ first problem for a clear fluid, there is a y-dependent steady state solution for an Oldroyd-B fluid in the porous half space, which is a damping exponential function with respect to the distance from the flat plate. The thickness of the boundary layer, which tends to be a limited value, is also different from that of a clear fluid. The effect of viscoelasticity on the unsteady flow in porous media is investigated. It was found if α>1∕4[(αt∕Re)+Re]2, oscillations in velocity occur obviously and the system exhibits viscoelastic behaviors, where α and αt are nondimensional relaxation and retardation times, respectively, Re is Reynold number in porous media. Some previous solutions of Stokes’ first problem corresponding to Maxwell fluid and Newtonian fluid in por...