NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Fundamental equations of a mixture of gas and small spherical solid particles from simple kinetic theory.The fundamental equations of a mixture of a gas and pseudofluid of small spherical solid particles are derived from the Boltzmann equation of two-fluid theory. The distribution function of the gas molecules is defined in the same manner as in the ordinary kinetic theory of gases, but the distribution function for the solid particles is different from that of the gas molecules, because it is necessary to take into account the different size and physical properties of solid particles. In the proposed simple kinetic theory, two additional parameters are introduced: one is the radius of the spheres and the other is the instantaneous temperature of the solid particles in the distribution of the solid particles. The Boltzmann equation for each species of the mixture is formally written, and the transfer equations of these Boltzmann equations are derived and compared to the well-known fundamental equations of the mixture of a gas and small solid particles from continuum theory. The equations obtained reveal some insight into various terms in the fundamental equations. For instance, the partial pressure of the pseudofluid of solid particles is not negligible if the volume fraction of solid particles is not negligible as in the case of lunar ash flow.
Document ID
19730043814
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Pai, S. I.
(Maryland, University College Park, Md., United States)
Date Acquired
August 7, 2013
Publication Date
March 1, 1973
Publication Information
Publication: Journal of Mathematical and Physical Sciences
Volume: 7
Subject Category
Fluid Mechanics
Accession Number
73A28616
Funding Number(s)
CONTRACT_GRANT: NGR-21-002-296
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available