A KINETIC-THEORETIC DESCRIPTION OF SHOCK WAVE FORMATION II.

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)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1965
Accession Number
AD0621200

Entities

People

  • C. K. Chu

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Cauchy Problem
  • Computational Science
  • Dynamics
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Mach Number
  • Mathematics
  • Mechanics
  • Physics
  • Shock
  • Shock Tubes
  • Shock Waves
  • Three Dimensional
  • Waves

Fields of Study

  • Mathematics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)