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Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (4): 369-376.

• 论文 • 上一篇    下一篇

VARIATIONAL PRINCIPLE AND GENERALIZED VARIATIONAL PRINCIPLE IN HYDRODYNAMICS OF A CLASS OF NON-NEWTONIAN FLUID

沈敏, 孙其仁   

  1. Shanghai University, Shanghai, Shanghai Institute of Applied Mathematics and Mechanics, 200072, P. R. China
  • 收稿日期:1994-07-08 出版日期:1995-04-18 发布日期:1995-04-18

VARIATIONAL PRINCIPLE AND GENERALIZED VARIATIONAL PRINCIPLE IN HYDRODYNAMICS OF A CLASS OF NON-NEWTONIAN FLUID

Shen Min, Sun Qi-ren   

  1. Shanghai University, Shanghai, Shanghai Institute of Applied Mathematics and Mechanics, 200072, P. R. China
  • Received:1994-07-08 Online:1995-04-18 Published:1995-04-18

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摘要： 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.

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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