非牛顿流体力学变分原理

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Variational Principles in Hydrodynamics of a Non-Newtonian Fluid

Shanghai Institute of Applied Mathematics & Mechancis, Shanghai University, Shanghai 200072, P.R.China

摘要: 本文将钱伟长教授在文献[1]中提出的不可压缩粘性流的最大功率消耗原理进一步推广到本构方程为ε_ij=∂τ/∂σ'_ij的非牛顿流体流动问题,并采用识别的拉氏乘子法解除变分约束条件,导出其广义变分原理。
- 非牛顿流体 /
- 变分原理 /
- 拉氏乘子
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 ε_ij=∂τ/∂σ'_ij. The constraint conditions of variation are eliminated by the method of identified Lagrangian multiplier and a generalized variational principle is established.
- non-Newtonian fluid /
- variational principle /
- Lagrangian multiplier

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