Accession Number:

AD0269817

Title:

ON THE FUNDAMENTAL EQUATIONS OF THE KINETIC THEORY OF GASES,

Descriptive Note:

Corporate Author:

AEROSPACE CORP EL SEGUNDO CALIF

Personal Author(s):

Report Date:

1961-10-23

Pagination or Media Count:

24.0

Abstract:

The truncation procedure of Grad is used to reduce the Liouville equation to a modified BBGKY kinetic hierarchy of integro-differential equations. By means of the usual dilute gas assumptions i. e., the negligibility of the total molecular volume with respect to the entire gas volume, the predominance of short-range, binary collisions, and the slowness of the macroscopic spatial variations over molecular dimensions, this system transforms to a new kinetic hierarchy, whose members each resemble the Maxwell-Boltzmann equation of transport theory irreversibility and closure are achieved via the introduction of a molecular chaos assumption. The Boltzmann-like character of the new system of equations is expected to lend itself readily to analysis by direct extensions of existing Boltzmann solution techniques. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE