17.4. Modeling Transport Properties Using Gupta Curve Fits

When simulating hypersonic flows using the default one-temperature approach, Gupta curve fits [57] are applicable for temperatures up to 30,000 K.

(17–1)

where and are the species viscosity and thermal conductivity respectively, is the static temperature, and A, B, C, D, E are species dependent coefficients. For ions and electrons, those coefficients are evaluated at the electron limiting pressure. A correction term should be multiplied for other electron pressures and is defined as:

(17–2)

where is the electron pressure.

17.4.1. Using Gupta Curve Fits

Gupta curve fits are the default methods for air mixtures (air-2species-nitrogen, air-5species-park93, air-11species-park93, and air-11species-gupta). For other mixtures, Gupta curve fits are unavailable due to lack of data.

After importing one of the applicable air mixtures, you can specify gupta-curve-fit-viscosity and gupta-curve-fit-conductivity for species Viscosity and Thermal Conductivity, respectively, as shown in Figure 17.1: Create/Edit Materials Dialog Box with Gupta Curve Fit Properties.

Figure 17.1: Create/Edit Materials Dialog Box with Gupta Curve Fit Properties

Create/Edit Materials Dialog Box with Gupta Curve Fit Properties

Once selected you can examine the coefficients as shown in Figure 17.2: Gupta Curve Fit Conductivity Dialog Box by clicking Edit... for either thermal conductivity or viscosity.

Figure 17.2: Gupta Curve Fit Conductivity Dialog Box

Gupta Curve Fit Conductivity Dialog Box