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Asymptotic solutions on multiple solutions arising from laminar flow in a uniformly porous channel with expanding or contracting walls

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成果类型:
期刊论文
作者:
Huang, Qizheng;Li, Lin*;Ouyang, Zigen
通讯作者:
Li, Lin
作者机构:
[Li, Lin; Ouyang, Zigen; Huang, Qizheng] Univ South China, Sch Math & Phys, Hengyang, Peoples R China.
通讯机构:
[Li, Lin] U
Univ South China, Sch Math & Phys, Hengyang, Peoples R China.
语种:
英文
关键词:
Laminar flow;Expanding and contracting walls;Singular perturbation method;Exponentially small terms
期刊:
BOUNDARY VALUE PROBLEMS
ISSN:
1687-2762
年:
2019
卷:
2019
期:
1
页码:
1-15
基金类别:
None.
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
This paper is concerned with asymptotic solutions of a nonlinear boundary value problem which arises from laminar flow in a uniformly porous channel with expanding or contracting walls. For values of the wall suction Reynolds number, multiple solutions are observed. A method involving the inclusion of exponentially small terms in a perturbation series is mainly considered to obtain two of the solutions analytically. In addition, numerical solutions presented for each case agree well with asymptotic solutions, which illustrates that...

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