Sutherland Air Properties

Compute air viscosity, density, kinematic viscosity, and sound speed from temperature and pressure.

visual calculatorCompressible Flow

Read the flow shape before trusting the number.

This page turns a CFD setup into regime, scale, and dominant-effect cues. Adjust the calculator below and compare the moving graphic with the computed result.

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air propertiesSutherlandviscosityideal gas

formula

KaTeX rendered

\begin{aligned}\text{mu = mu0 (T/T0)\^{}(3/2) (T0 + S)/(T + S)}\\[0.35em]\text{rho = p/(R T)}\end{aligned}

ASCII source

mu = mu0 (T/T0)^(3/2) (T0 + S)/(T + S), rho = p/(R T)

T (K)p (Pa)gammaR (J/kg/K)mu_ref (Pa s)T_ref (K)Sutherland S (K)

mu (Pa s)

1.846e-5

rho (kg/m^3)

1.1766

nu (m^2/s)

1.569e-5

a (m/s)

347.2190

Air defaults use Sutherland's law plus ideal-gas density. Change R and gamma for another gas.

air properties Sutherland viscosity ideal gas