Calculated according to Sutherland's model vor dynamic viscosity of ideal gases

Sutherland's formula can be used to derive the dynamic viscosity of an ideal gas as a function of the temperature. According to Sutherland's formula, if the absolute temperature is less than $S_{gas}$, the relative change in viscosity for a small change in temperature is greater than the relative change in the absolute temperature, but it is smaller when $T_{gas}$ is above $S_{gas}$. The kinematic viscosity though always increases faster than the temperature.

The sources are:

• Values for 0, 15, and 25°C are taken from encyclopedia.airliquide.com
• Formula for humid air is taken from paper by P.T. Tsilingiris: 'Thermophysical and transport properties of humid air at temperature range between 0 and 100°C', 2007
• Formula for dry air is taken from paper by T.F. Irvine and P. Liley: 'Steam and gas tables with computer equations', 1984
• Formulae for N2 and SF6 are taken from paper by J. Vermeer: 'A simple formula for the calculation of the convective heat transfer between conductor and sheath in compressed gas insulated (CGI) cables', 1983 as published in Elektra 87
• Formula for CO2 is a linear interpolation of the values calculated acc. Sutherland's model between 0 and 90°C.

Note: 1 Pa = 1 kg/(m.s2)

Symbol
$\eta_{\mathrm{gas}}$
Unit
Pa.s
Formulae
 $- 8.050218737 \cdot 10^{-14} \theta_{\mathrm{air}}^{4} + 1.873236686 \cdot 10^{-12} \theta_{\mathrm{air}}^{3} - 3.663027156 \cdot 10^{-10} \theta_{\mathrm{air}}^{2} + 4.722402075 \cdot 10^{-8} \theta_{\mathrm{air}} + 1.715747771 \cdot 10^{-5}$ humid air at 1 atm (Tsilingiris2007) $\frac{1.4592 \cdot 10^{-6} T_{air}^{1.5}}{T_{air} + 109.1}$ air at 1 bar (UW/MHTL 8406, 1984) $- 5.7971299 \cdot 10^{-17} T_{air}^{4} + 1.2349703 \cdot 10^{-13} T_{air}^{3} - 1.17635575 \cdot 10^{-10} T_{air}^{2} + 9.080125 \cdot 10^{-8} T_{air} - 9.8601 \cdot 10^{-7}$ dry air at 1 atm (Irvine&Liley1984) $4.14 \cdot 10^{-8} \theta_{\mathrm{gas}} + 1.66 \cdot 10^{-5}$ N2 (Vermeer1983) $4.11 \cdot 10^{-8} \theta_{\mathrm{gas}} + 1.47 \cdot 10^{-5}$ SF6 (Vermeer1983) $4.669 \cdot 10^{-8} T_{\mathrm{gas}} + 1.11 \cdot 10^{-6}$ CO2 (linear interpolation) $\nu_{\mathrm{gas}} \rho_{\mathrm{gas}}$ general formula for gases $\frac{\eta0_{\mathrm{gas}} \left(\frac{T_{\mathrm{gas}}}{T0_{\mathrm{gas}}}\right)^{1.5} \left(S_{\mathrm{gas}} + T0_{\mathrm{gas}}\right)}{S_{\mathrm{gas}} + T_{\mathrm{gas}}}$ Sutherland's model
Related
$\eta0_{\mathrm{gas}}$
$\nu_{\mathrm{gas}}$
$\rho_{\mathrm{gas}}$
Gas density [kg/m³]
$S_{\mathrm{gas}}$
$T0_{\mathrm{gas}}$
$T_{\mathrm{gas}}$
$\theta_{\mathrm{air}}$
$\theta_{\mathrm{gas}}$
Used in
$\nu_{\mathrm{gas}}$
$\mathrm{Pr}_{\mathrm{gas}}$
$T_{\mathrm{conv_{\mathrm{ce}}}}$
Choices
GasFormula0°C15°C25°C
Air-1.7218e-051.7962e-051.8447e-05
N2N21.6629e-051.7339e-051.7805e-05
SF6SF61.3771e-051.4589e-051.5123e-05
CO2CO21.3711e-051.4446e-051.4932e-05
COCO1.6515e-051.7201e-051.7649e-05
O2O21.9143e-051.9993e-052.055e-05
H2H28.3969e-068.7098e-068.9154e-06
NH3NH39.1931e-069.7289e-061.0093e-05
SO2SO21.1796e-051.2475e-051.2924e-05
HeHe1.8695e-051.9388e-051.9846e-05
ArAr2.1017e-052.1987e-052.2624e-05
KrKr2.3219e-052.4375e-052.5132e-05
XeXe2.1216e-052.2278e-052.2985e-05