Williams-Landel-Ferry

Transport model based on the work of Williams et. al. 89.

Dynamic viscosity, $\mu$ [Pa.s]

$$\mu = \mu_0 \exp \left( - \frac{C_1 ( T - T_r )}{C_2 + T - T_r} \right)$$

Thermal conductivity, $\kappa$ [W/mK]

$$\kappa = \frac{c_p \mu}{Pr}$$

Thermal diffusivity, $\alpha_h$ [kg/ms]

$$\alpha_h = \frac{\mu}{Pr}$$

Usage

The WLF transport model is defined using the entries:

transport
{
    mu0             <scalar>;
    Tr              <scalar>;
    C1              <scalar>;
    C2              <scalar>;
    Pr              <scalar>;
}

Where

• mu0 : Dynamic viscosity at the reference temperature [Pa.s]
• Tr : Reference temperature [K]
• C1 : Model coefficient []
• C2 : Model coefficient [K]
• Pr : Prandtl number

Further information

Source code

• WLF