Aerodynamic acceleration of heavy particles in a supersonic jet of a binary mixture of gases with disparate-mass components

The method of moments for the ellipsoidal distribution function was used for solving the Boltzmann equation describing binary gas mixtures with large mass disparity and highly diluted heavy component. Analysis of the system of moment equations results in a simple analytic expression for the terminal...

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Bibliographic Details
Published in:Physics of fluids (1994) 2017-08, Vol.29 (8)
Main Authors: Lazarev, Alexander V., Tatarenko, Kira A., Amerik, Alexander Yu
Format: Article
Language:English
Subjects:
Boltzmann transport equation
Distribution functions
Fluid dynamics
Gas mixtures
Low pressure
Method of moments
Physics
Supersonic aircraft
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Summary:The method of moments for the ellipsoidal distribution function was used for solving the Boltzmann equation describing binary gas mixtures with large mass disparity and highly diluted heavy component. Analysis of the system of moment equations results in a simple analytic expression for the terminal slip velocities of components that depends on the conditions in the source of jet, composition of mixture, and C6 constant of the attractive branch of the interaction potential. The results are in good agreement with experimental data including low pressure conditions when the Miller-Andres correlation is unsatisfactory.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.4996584