| SERIES PERTURBATIONS APPROXIMATE SOLUTIONS TO N-S EQUATIONS AND MODIFICATION TO ASYMPTOTIC EXPANSION MATCHED METHOD |
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| 作者姓名： | 李大鸣 张红萍 高永祥 |
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| 作者单位： | LI Da_ming，ZHANG Hong_ping，GAO Yong_xiang (1 School of Civil Engineering，Tianjin University，Tianjin 300072，P R China; 2 School of Machinery Engineering，Tianjin University，Tianjin 300072，P R China) (Communicated by JIANG Fu_ru) |
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| 基金项目： | theNationalNaturalScienceFoundationofChina ( 2 96760 3 0 ) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅａｓｙｍｐｔｏｔｉｃｅｘｐａｎｓｉｏｎｍａｔｃｈｅｄｍｅｔｈｏｄｗａｓｄｅｖｅｌｏｐｅｄｏｎｔｈｅｂａｓｉｓｏｆＰｌａｎｄｔｌ’ｓＢｏｕｎｄａｒｙＬａｙｅｒｓＴｈｅｏｒｙ1- 3].Ｉｎ 1 960’ｓｌａｔｅｒ,ｔｈｅｖａｌｉｄｍａｔｃｈｅｄｐｒｉｎｃｉｐｌｅｓｗｅｒｅａｄｖａｎｃｅｄｂｙＶａｎＤｙｋｅａｎｄＫａｐｌｕｎ4 ,5 ],ｒｅｓｐｅｃｔｉｖｅｌｙ .Ｂｕｔｔｈｅａｐｐｌｉｃａｂｌｅｒａｎｇｅｏｆｔｈｅｍｅｔｈｏｄｗａｓｒｅｓｔｒｉｃｔｅｄｂｙｔｈｅｄｉｆｆｉｃｕｌｔｙｔｈ…
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| 收稿时间： | 10 April 2001 |
Series perturbations approximate solutions to N-S equations and modification to asymptotic expansion matched method |
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| Li Da-ming Associate Professor, Doctor,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. |
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| Authors: | Li Da-ming Associate Professor Doctor Zhang Hong-ping Gao Yong-xiang |
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| Institution: | 1. School of Civil Engineering, Tianjin University, Tianjin 300072, P R China
2. School of Machinery Engineering, Tianjin University, Tianjin 300072, P R China |
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| 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. |
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| Keywords: | asymptotic expansion matched method series perturbation N_S equation viscous fluid flow past a sphere |
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