where T0 is the (constant) temperature of the gas,
Mn is the molar mass of the gas, and
R is the universal gas constant. Here the total gas pressure,
pA = pref+pf, where
pA is the absolute pressure and
pf is the pressure developed as a result of the flow. Substituting this relation into
Equation 4-3 and dividing through by the constant
Mn/RT0 results in a modified form of the Reynolds equation:
For a gas, the slip length is often expressed using the mean free path, λ, and a tangential momentum accommodation coefficient,
α. The following definition of the mean free path is used by COMSOL Multiphysics in the Thin-Film Flow interfaces:
This definition is different from the one in Ref. 5, and the variable in the physics interfaces is named
Equivalent free path, not mean free path, following the definition and naming given in
Ref. 3.