A Unifomly Valid Asymptotic Solution of the Navier-Stokes Equations

Qin Sheng-li; Zhang Ai-shu

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Qin Sheng-li, Zhang Ai-shu. A Unifomly Valid Asymptotic Solution of the Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 1994, 15(11): 999-1011.

Citation:

Qin Sheng-li, Zhang Ai-shu. A Unifomly Valid Asymptotic Solution of the Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 1994, 15(11): 999-1011.

Citation:

Qin Sheng-li, Zhang Ai-shu. A Unifomly Valid Asymptotic Solution of the Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 1994, 15(11): 999-1011.

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A Unifomly Valid Asymptotic Solution of the Navier-Stokes Equations

Dep. of Physics, Qufu Teachers University, Qufu, Shandong

Received Date: 1993-11-24
Publish Date: 1994-11-15

Abstract

Abstract

In this paper,problems of the flow over a flat plate in the large Reyaolds number case are studied by using the method of multiple scales^[1,2].We have obtained N-order uniformly valid asymptotic solutions of the Navier-Stokes equations.
- Navier-Stokes equations,
- the potential flow,
- the stream function,
- the boundary correction,
- the method of multiple scales

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References(8)

References

[1]	Jiang Fu-ru,On the asymptotic solutions for a class of nonlinear reduced wave equations,Scientia Sinica,(Series A),7(1983),239-50.
[2]	江福汝,关于环形和圆形薄板在各种支承条件下的非对称弯曲问题,应用数学和力学.3(5) (1982),884-695.
[3]	Fung,Y,C,,A.First Course in Continuum Mechanics,Printice-Hall,Inc.,Englewood Cliffs,New Jersey(1977).
[4]	Carr ier,G.F. and Lin,C.C.,On the nature of the boundary layer near the leadingedge of a flat plate,Quart,Appl. Math.,VI,(1948).63-88.
[5]	秦圣立、张爱淑.关于具有初始挠度的圆形薄板的跳跃问题,应用数学和力学.8(5)(1987),447-458.
[6]	秦圣立、张爱淑,关于环形薄板的屈曲问题,应用数学和力学,6(8)(1985),169-183.
[7]	Hermann Schlichting,Boundarp-layer Theory,7th ed,,McGraw-Hill Book Compang,New York(1979).
[8]	田纪伟、高智.简化Navier-Stokes(SNS)方程在二维层流边界层分离点邻域的特性.中国科学,A辑,3(1992),282-292.