Flow past a cylinder and a sphere in a porous medium within the framework of the Brinkman equation with the Navier boundary condition

被引：23
|
作者：
Leont'ev, N. E. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia
来源：
FLUID DYNAMICS | 2014年 / 49卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
porous medium; Brinkman equation; slip boundary condition; no-slip condition; MODEL; CONVECTION;
D O I：
10.1134/S0015462814020112
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Exact analytical solutions of the problem of flow past a sphere and a cylinder in a porous medium are derived within the framework of the Brinkman equationwith the Navier boundary condition. Attention is drawn to the fact that the no-slip condition imposed on the interface between the porous medium and a solid, used, in particular, in the case of the Brinkman equation, must be in the general case replaced by a condition that admits nonzero flow velocity at the boundary.
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页码：232 / 237
页数：6
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