Analysis of matching conditions at the boundary surface of a fluid-saturated porous solid and a bulk fluid: the use of Lagrange multipliers

被引：0
作者：
J. Kubik
M. Cieszko
机构：
[1] Bydgoszcz University,Institute of Environmental Mechanics and Applied Computer Science
来源：
Continuum Mechanics and Thermodynamics | 2005年 / 17卷
关键词：
Porous media; Boundary conditions; Lagrange multipliers;
D O I：
暂无
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学科分类号：
摘要：
The compatibility conditions matching macroscopic mechanical fields at the contact surface between a fluid-saturated porous solid and an adjacent bulk fluid are considered. The general form of balance equations at that discontinuity surface are analyzed to obtain the compatibility conditions for the tangent and normal components of the velocity and the stress vector fields. Considerations are based on the procedure similar to that used in the phenomenological thermodynamics for derivation of constitutive relations, where the entropy inequality and the concept of Lagrange multipliers are applied. This procedure made possible to derive the compatibility conditions for the viscous fluid flowing tangentially and perpendicularly to the boundary surface of the porous solid and to formulate the generalized form of the so called slip condition for the fluid velocity field, postulated earlier by Beavers and Joseph, J. Fluid. Mech. 30, 197–207 (1967).
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页码：351 / 359
页数：8
相关论文
共 24 条
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