Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (10): 963-969.

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VARIATIONAL PRINCIPLES IN HYDRODYNAMICS OF A NON-NEWTONIAN FLUID

Shen Min   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • Received:1997-05-05 Online:1998-10-18 Published:1998-10-18

Abstract: In this paper, the principle of maximum power losses for the incompressible visous fluid proposed by professor Chien Weizang in reference[1]is further extended to the hydrodynamic problem of the non-Newtonian fluid with constive law expressed as εij=∂τ/∂σij. The constraint conditions of variation are eliminated by the method of identified Lagrangian multiplier and a generalized variational principle is established.

Key words: non-Newtonian fluid, variational principle, Lagrangian multiplier

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