## 留言板

 引用本文: 沈敏, 孙其仁. 一类非牛顿流体流动问题的变分原理和广义变分原理[J]. 应用数学和力学, 1995, 16(4): 345-351.
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, 1995, 16(4): 345-351.
 Citation: 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, 1995, 16(4): 345-351.

## Variational Principle and Generalized Variational Principle in Hydrodynamics of a Class of Non-Newtonian Fluid

• 摘要: 本文将钱伟长教授[1]的不可压缩粘性流的最大功率消耗原理推广到一类特殊的非牛顿流体─-广义牛顿流体的流动问题,并采用识别的拉氏乘子法来解除变分约束条件,导出其广义变分原理。
•  [1] 钱伟长,枯性壳体力学的变分原理和广义变分原理,应用数学和力学,5(3) (1984). 305-332, [2] Lin, C.C.and L, Rubinov.,On the flow behind curved shocks, J.Math,Physics,27 (1984),105. [3] Skobelkin,V.I.,Variational principle in hydrodynamics,Soviet Physics-JETP,4(1)(1957),68. [4] G uderly, K.G.,An extremum principle for three dimensional compressible inviscid flows, SIAN,J.App, Math.,23(27) (1972), 259, [5] Manuwell, A. R.,A variational principle steady homogenetic compressible flow with finite shocks, Wave Motion, 2 (1980), 83, [6] Hafez, M, and D, Lovell, Numerical solution of transonic stream function equation, AIAA Journal, 21(3)(1983). [7] Grochet, M, J.,A, R.Davies and K.Walters, Numerical Simulation of Non-Newtonian Flow, Elsevier(1984).

##### 计量
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##### 出版历程
• 收稿日期:  1994-07-08
• 刊出日期:  1995-04-15

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