| VARIATIONAL PRINCIPLE AND GENERALIZED VARIATIONAL PRINCIPLE IN HYDRODYNAMICS OF A CLASS OF NON－NEWTONIAN FLUID |
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| 引用本文： | 沈敏, 孙其仁. VARIATIONAL PRINCIPLE AND GENERALIZED VARIATIONAL PRINCIPLE IN HYDRODYNAMICS OF A CLASS OF NON－NEWTONIAN FLUID[J]. 应用数学和力学(英文版), 1995, 16(4): 369-376. DOI: 10.1007/BF02456950 |
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| 作者姓名： | 沈敏 孙其仁 |
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| 作者单位： | Shanghai University，Shanghai，Shanghai Institute of AppliedMathematics and Mechanics，200072. P. R. China |
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| 摘 要： | ＶＡＲＩＡＴＩＯＮＡＬＰＲＩＮＣＩＰＬＥＡＮＤＧＥＮＥＲＡＬＩＺＥＤＶＡＲＩＡＴＩＯＮＡＬＰＲＩＮＣＩＰＬＥＩＮＨＹＤＲＯＤＹＮＡＭＩＣＳＯＦＡＣＬＡＳＳＯＦＮＯＮ－ＮＥＷＴＯＮＩＡＮＦＬＵＩＤＳｈｅｎＭｉｎ（沈敏），ＳｕｎＱｉ－ｒｅｎ（孙其仁）（Ｓ...
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| 收稿时间： | 1994-07-08 |
Variational principle and generalized variational principle in hydrodynamics of a class of non-Newtonian fluid |
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| Shen Min,Sun Qi-ren. Variational principle and generalized variational principle in hydrodynamics of a class of non-Newtonian fluid[J]. Applied Mathematics and Mechanics(English Edition), 1995, 16(4): 369-376. DOI: 10.1007/BF02456950 |
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| Authors: | Shen Min Sun Qi-ren |
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| Affiliation: | Shanghai University, Shanghai, Shanghai Institute of Applied Mathematics and Mechanics, 200072, P. R. China |
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| Abstract: | In this paper. the principle of maximum power losses for the incompressibleviscous fluid proposed by professor Chien Wei-zang is extended to the hydrodynamicproblems of a special class of non-Newtonian fluid-generalized Newtonian fluid.The constraint condition of variation are eliminated by the method of idetifiedLagrangian multipliers and a generalized variational principle is established. |
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| Keywords: | non-Newtonian fluid vanational principle Lagrangianmultiper |
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