A KINETIC-THEORETIC DESCRIPTION OF SHOCK WAVE FORMATION II.

reportActive / Technical Report | Accession Number: AD0621200 | Need Help?

Abstract:

This paper extends the method and results previously obtained for shock waves in 1-dimensional gas to a monatomic 3-dimensional gas. The classical Riemann problem--the flow of a gas in a shock tube--is treated as an initial value problem for the Krook equation, after the Krook equation is first reduced to two simultaneous Krook equations each for a 1-dimensional gas. Results are obtained on the formation of shocks corresponding to Mach numbers of 1.27, 1.5, and 1.75. It is seen that the stronger the shock, the shorter the formation time. The short time behavior of the flow agrees with free flow, while the long time behavior agrees with fluid dynamics. Author

Author(s):
Chu, C. K.
Author Organization(s):
COLUMBIA UNIV NEW YORK PLASMA LAB
Descriptive Note:
Scientific rept.,
Supplementary Note:
See also AD-606 511.
Annotation:
Kinetic-theoretic description of shock wave formation.
Pagination:
0031

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
SR-16, AFOSR-65-1265
Contract/Grant Number(s):
AF49 638 1254
Task Number(s):
975202
Project Number(s):
9752
Monitor Series:
65-1265
 Subject Terms
Joint Capability Areas:
JCA_3.2_Engagement; JCA_3_Force Application; JCA_3.2.1_Kinetic Means
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*SHOCK WAVES, KINETIC THEORY), (*KINETIC THEORY, SHOCK WAVES), BOUNDARY VALUE PROBLEMS, SHOCK TUBES, ONE DIMENSIONAL FLOW, THREE DIMENSIONAL FLOW, NUMERICAL ANALYSIS, DYNAMICS
Keyword(s):
KROOK EQUATIONS
Report Date:
1965 Feb 01