functioneta

Fluidity (η) as a function of temperature

Extends from Modelica.Icons.Function (Icon for functions).

Information

Fluidity is defined as the reciprocal of dynamic viscosity (see http://en.wikipedia.org/wiki/Viscosity#Fluidity).

Although specific volume is an input to this function, the result is independent of specific volume. According to Present [Present1958], this independence very accurately matches the measured fluidity of gases. However, the fluidity varies by species and generally falls more rapidly with temperature than indicated [Present1958, p. 41].

This function is based on the kinetic theory of gases under the following assumptions [Present1958]:

  1. The particles are smooth and rigid but elastic spheres with identical radii. This is the "billiard-ball" assumption, and it implies that the collisions are instantaneous and conserve kinetic energy.
  2. Between collisions, particles have no influence on one another.
  3. The mean free path, or average distance a particle travels between collisions, is much larger than the diameter of a particle.
  4. The properties carried by a particle depend only on those of the last particle with which it collided.
  5. The speeds of the particles follow the Maxwell-Boltzmann distribution.

Inputs

TypeNameDefaultDescription
Q.TemperatureAbsoluteT298.15*U.KTemperature
Q.VolumeSpecificv298.15*U.K/p0Specific volume

Outputs

TypeNameDefaultDescription
Q.FluidityetaFluidity