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

作　　者：李大鸣 张红萍 高永祥 

机构地区：[1]School of Civil Engineering, Tianjin University, Tianjin 300072, P R China [2]School of Machinery Engineering, Tianjin University, Tianjin 300072, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2002年第8期963-972,共10页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina ( 2 96760 3 0 )

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.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.

关 键 词：asymptotic expansion matched method series perturbation N-S equation viscous fluid flow past a sphere 

分 类 号：O357[理学—流体力学]