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Variational principle and generalized variational principle in hydrodynamics of a class of non-Newtonian fluid

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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 conditions of variation are eliminated by the method of identified Lagrangian multipliers and a generalized variational principle is established.

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Communicated by Dai Shi-qiang

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Min, S., Qi-ren, S. Variational principle and generalized variational principle in hydrodynamics of a class of non-Newtonian fluid. Appl Math Mech 16, 369–376 (1995). https://doi.org/10.1007/BF02456950

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  • DOI: https://doi.org/10.1007/BF02456950

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