7.2. Steady Extensional Flow

Steady extensional flow can be uniaxial, biaxial, or planar. Uniaxial extensional flow is illustrated in Figure 7.2: Uniaxial Extensional Flow and defined as follows:

(7–10)

where is a constant elongational strain rate.

The corresponding stress distribution can be written as

(7–11)

(7–12)

where is the uniaxial extensional viscosity.

Figure 7.2: Uniaxial Extensional Flow

Uniaxial Extensional Flow

Biaxial extensional flow is illustrated in Figure 7.3: Biaxial Extensional Flow and defined as follows:

(7–13)

where is a constant elongational strain rate.

Figure 7.3: Biaxial Extensional Flow

Biaxial Extensional Flow

The corresponding stress distribution can be written as

(7–14)

(7–15)

where is the biaxial extensional viscosity.

Planar extensional flow is illustrated in Figure 7.4: Planar Extensional Flow and defined as follows:

(7–16)

where is a constant elongational strain rate.

Figure 7.4: Planar Extensional Flow

Planar Extensional Flow

The corresponding stress distribution can be written as

(7–17)

where is the planar extensional viscosity.

For extensional flow fields, the uniaxial, biaxial, and planar extensional viscosity curves (, , and ) can be computed. Click Uniaxial Extensional Viscosity, Biaxial Extensional Viscosity, and/or Planar Extensional Viscosity in the Load Curves (Part I) menu if you want Ansys Polymat to compute one (or more) of these curves.

To compute each of these curves, you will need to specify a minimum and maximum extensional strain rate ( and ), and the number of sampling points. See Defining Numerical Parameters and Defining Numerical Parameters for information about specifying numerical parameters for viscometric property curves. See Specifying the Curves to be Calculated for information about specifying which curves you want to compute and plot. (Note that, if you use the automatic fitting method, Ansys Polymat will automatically compute and plot the curves for all properties for which experimental data curves have been defined.)