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) : Goldman,Edward ; Sirovich,Lawrence

Report Date : JUN 1966

Pagination or Media Count : 46

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 beta(m 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 alpha/m sub beta) squared + (n sub alpha/n sub beta)(m sub alpha/m sub beta) to the 1/2 power) divided by (1 + (n sub alpha/n sub beta)(m sub alpha/m sub beta)) > 1/5. 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 :   (*GASES, MIXTURES), (*MIXTURES, EQUATIONS), INTEGRAL EQUATIONS, DIFFERENTIAL EQUATIONS, THERMODYNAMICS, THEORY, HEAT TRANSFER, DISTRIBUTION FUNCTIONS

Subject Categories : Fluid Mechanics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE