Asymptotic solutions for laminar flow in a channel with uniformly accelerating rigid porous walls

被引：0
作者：
Liancun Zheng Na Zhao and Xinxin Zhang Applied Science School University of Science and Technology Beijing Beijing China Mechanical Engineering School University of Science and Technology Beijing Beijing China [1 ,1 ,2 ,1 ,100083 ,2 ,100083 ]
机构：
来源：
Journal of University of Science and Technology Beijing | 2007年 / 05期
关键词：
porous channel; suction/injection; asymptotic expansion; multiple solutions;
D O I：
暂无
中图分类号：
O357 [粘性流体力学];
学科分类号：
080103 ; 080704 ;
摘要：
A theoretical investigation was done for the generalized Berman problem, which arises in steady laminar flow of an in- compressible viscous fluid along a channel with accelerating rigid porous walls. The existence of multiple solutions and its condi- tions were established by taking into account exponentially small terms in matched asymptotic expansion. The correctness of the analytical predictions was verified by numerical results.
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收藏
页码：405 / 409
页数：5
相关论文
共 3 条
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Analysis of Steady Flow in a Channel with one Porous Wall, or with Accelerating Walls[J] . Stephen M. Cox.SIAM Journal on Applied Mathematics . 1991 (2)
[2]  
The existence of multiple solutions for the laminar flow in a uniformly porous channel with suction at both walls[J] . W. A. Robinson.Journal of Engineering Mathematics . 1976 (1)
[3]  
Existence and Non-uniqueness of Positive Solutions to a Non-linear Boundary Value Problems in the Theory of Viscous Fluids .2 Zheng Liancun,He Jicheng. Dynamic Systems and Applications . 1999
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