SERIES PERTURBATIONS APPROXIMATE SOLUTIONS TO N-S EQUATIONS AND MODIFICATION TO ASYMPTOTIC EXPANSION MATCHED METHOD

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (8): 963-972.

SERIES PERTURBATIONS APPROXIMATE SOLUTIONS TO N-S EQUATIONS AND MODIFICATION TO ASYMPTOTIC EXPANSION MATCHED METHOD

李大鸣¹, 张红萍¹, 高永祥²

1. School of Civil Engineering, Tianjin University, Tianjin 300072, P. R. China;
2. School of Machinery Engineering, Tianjin University, Tianjin 300072, P. R. China

收稿日期:2001-04-10 修回日期:2002-04-01 出版日期:2002-08-18 发布日期:2002-08-18
基金资助:
the National Natural Science Foundation of China(29676030)

SERIES PERTURBATIONS APPROXIMATE SOLUTIONS TO N-S EQUATIONS AND MODIFICATION TO ASYMPTOTIC EXPANSION MATCHED METHOD

LI Da-ming¹, ZHANG Hong-ping¹, GAO Yong-xiang ²

1. School of Civil Engineering, Tianjin University, Tianjin 300072, P. R. China;
2. School of Machinery Engineering, Tianjin University, Tianjin 300072, P. R. China

Received:2001-04-10 Revised:2002-04-01 Online:2002-08-18 Published:2002-08-18
Supported by:
the National Natural Science Foundation of China(29676030)

摘要/Abstract

摘要： A method that series perturbations approximate solutions to N-S equations with boundary conditions was discussed and adopted. Then the method was proved in which the asymptotic solutions of viscous fluid flow past a sphere were deducted. By the ameliorative asymptotic expansion matched method, the matched functions are determined easily and the ameliorative curve of drag coefficient is coincident well with measured data in the case that Reynolds number is less than or equal to 40 000.

中图分类号:

O29
TB126

李大鸣;张红萍;高永祥. SERIES PERTURBATIONS APPROXIMATE SOLUTIONS TO N-S EQUATIONS AND MODIFICATION TO ASYMPTOTIC EXPANSION MATCHED METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(8): 963-972.

LI Da-ming;ZHANG Hong-ping;GAO Yong-xiang . SERIES PERTURBATIONS APPROXIMATE SOLUTIONS TO N-S EQUATIONS AND MODIFICATION TO ASYMPTOTIC EXPANSION MATCHED METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(8): 963-972.

参考文献

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SERIES PERTURBATIONS APPROXIMATE SOLUTIONS TO N-S EQUATIONS AND MODIFICATION TO ASYMPTOTIC EXPANSION MATCHED METHOD

SERIES PERTURBATIONS APPROXIMATE SOLUTIONS TO N-S EQUATIONS AND MODIFICATION TO ASYMPTOTIC EXPANSION MATCHED METHOD

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