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Variational principles in hydrodynamics of a non-Newtonian fluid
Authors:Shen Min
Institution:Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
Abstract:In this paper, the principle of maximum power losses for the incompressible visous fluid proposed by professor Chien Weizang in reference1] is further extended to the hydrodynamic problem of the non-Newtonian fluid with constive law expressed as . The constraint conditions of variation are eliminated by the method of identified Lagrangian multiplier and a generalized variational principle is established.
Keywords:non-Newtonian fluid  variational principle  Lagrangian multiplier
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