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

Shen Min; Sun Qi-ren

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Article Navigation > Applied Mathematics and Mechanics > 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.

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.

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

Shanghai Intstitute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, 200072

Received Date: 1994-07-08
Publish Date: 1995-04-15

Abstract

Abstract

In this paper. the principle of maximum power losses for the incompressible viscous fluid proposed by professor Chien Wei-zang is extended to the hydrodynamic problems of a special class of non-Newtonian fluid——generalized Newtonian fluid.The constraint condition of variation are eliminated by the method of idetified Lagrangian multipliers and a generalized variational principle is established.
- non-Newtonian fluid,
- vanational principle,
- Lagrangian multiper

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References(7)

References

[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).