Dynamic viscosity of gas from temperature

Viscosity is a phenomenon of molecular transport, the property of fluid bodies (liquids and gases) to resist the movement of one part of them relative to another. As a result, the macroscopic work expended on this movement is dissipated as heat. Unlike liquids, the viscosity of gases increases with increasing temperature, whereas for liquids it decreases with increasing temperature.

Conditions:

1. The gas is ideal.

Links:

1. Sutherland model.

dynamic_viscosity

dynamic_viscosity of the gas at the given temperature.

Symbol:

mu

Latex:

$\mu$

Dimension:

pressure*time

reference_dynamic_viscosity

dynamic_viscosity of the gas at the reference_temperature.

Symbol:

mu_0

Latex:

$m{u}_0$

Dimension:

pressure*time

temperature

temperature at which the viscosity value is calculated.

Symbol:

T

Latex:

$T$

Dimension:

temperature

reference_temperature

temperature at which the reference viscosity value is calculated.

Symbol:

T_0

Latex:

$T_0$

Dimension:

temperature

sutherland_constant

sutherland_constant of the gas.

Symbol:

S

Latex:

$S$

Dimension:

temperature

law

mu = mu_0 * (T_0 + S) / (T + S) * (T / T_0)^(3/2)

Latex:

$$\mu =m{u}_0\frac{T_0+S}{T+S}{\left(\frac{T}{T_0}\right)}^{\frac{3}{2}}$$