EQUATIONS FOR GAS MIXTURES.
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
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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
- Fluid Mechanics