Non-Newtonian Fluid

Newtonian fluid is power-law fluid with a behavior index of 1

\tau = \mu \frac{\partial u}{\partial y}


Types of Non-Newtonian Flow

Non-Newtonian Models


1. Power Law Model
2. Bird-Carreau Model
3. Cross-Power Law Model
4. Herschel-Bulkley Model


2003 PROGRAM IN GEOPHYSICAL FLUID DYNAMICS

本构关系: 简单说本构关系就the relations between stress, strain, and their time dependences

比如另一个众人口中的巨型经典Bird, Armstrong & Hassager (1987)说本构关系是“expression of the stress tensor in terms of some kinematic tensors”。

再另一个巨型经典Truesdell & Noll (2004)说本构方程“relate the stress tensor and the heat-flux vector to the motion”。


1676 Hooke’s law

Forces

Shearing strain 剪切应变 gamma
Shearing stress 剪切应力 s: F/A

According to Hooke, the relation between shear strain gamma and shear stress S is