# Accession Number:

## AD0649836

# Title:

## EQUATIONS FOR GAS MIXTURES.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

# Personal Author(s):

# Report Date:

## 1966-06-01

# Pagination or Media Count:

## 46.0

# Abstract:

Starting with the exact Boltzmann equations for gas mixtures, a macroscopic theory of mixtures is obtained. For a binary gas with masses m sub alpha, m sub betam sub alpha m sub beta and representative number densities n sub alpha, n sub beta it is shown that the classical Chapman-Enskog theory of mixtures holds when m sub alpham sub beta squared n sub alphan sub betam sub alpham sub beta to the 12 power divided by 1 n sub alphan sub betam sub alpham sub beta 15. This criterion greatly extends the region of validity of the Chapman-Enskog equations. For situations outside the Chapman-Enskog range a new system of equations, referred to as the two-temperature theory, is shown to be valid. For problems widely removed from equilibrium a tow-fluid theory is advanced. The last has the Chapman-Enskog and two-temperature theories as limiting forms in near equilibrium situations. A heat flow problem illustrating the new equations is discussed. Author

# Descriptors:

# Subject Categories:

- Fluid Mechanics
- Thermodynamics