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

• Articles • Previous Articles     Next Articles

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. 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)

Abstract: 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.

2010 MSC Number: 

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