
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 ChapmanEnskog 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 ChapmanEnskog equations. For situations outside the ChapmanEnskog range a new system of equations, referred to as the twotemperature theory, is shown to be valid. For problems widely removed from equilibrium a towfluid theory is advanced. The last has the ChapmanEnskog and twotemperature 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