THE INTERNAL STRUCTURE OF SHOCK WAVES,
Abstract
The non-linear Boltzmann equation was solved for shock waves in a gas of elastic spheres. The solutions were made possible by the use of Nordsieck's Monte Carlo method of evaluation of the collision integral in the equation. Accurate solutions were obtained by the same method for the whole range of upstream Mach numbers M from 1.1 to 10 even though the corresponding degree of departure from equilibrium varies by a factor greater than 1000. Many characteristics of the internal structure of the shock waves were calculated from the solutions and compared with Navier-Stokes, Mott-Smith and Krook descriptions which, except for low Mach numbers, are not based upon the Boltzmann equation itself. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1970
- Accession Number
- AD0707675
Entities
People
- Barbara J. Reilly
- Bruce L. Hicks
- Shee-mang Yen
Organizations
- University of Illinois Urbana–Champaign