6.2.1. Introduction

6.2.1.1. Equations

For a generalized Newtonian fluid, the constitutive equation has the form

(6–5)

where is the extra-stress tensor, is the rate-of-deformation tensor, and is the viscosity, which can depend upon both the second invariant of and the temperature .

The general form for the viscosity is written as

(6–6)

where is the local shear rate. Therefore, and represent the shear-rate and temperature dependence of the viscosity, respectively.

6.2.1.2. Inputs

To specify the function , you will click the Shear-rate dependence of viscosity menu item in the Material Data menu

  Shear-rate dependence of viscosity

and to specify the function , you will click the Temperature dependence of viscosity menu item.

  Temperature dependence of viscosity

See Non-Automatic Fitting and Automatic Fitting for information about where and how the material data specification occurs in the non-automatic and automatic fitting procedures, respectively.

See Shear-Rate Dependence of Viscosity and Temperature Dependence of Viscosity for details about the parameters and characteristics of each fluid model.