SELF-SIMILAR STRONG SHOCKS WITH RADIATION IN A DECREASING EXPONENTIAL ATMOSPHERE,

Abstract

The self-similar, one-dimensional flow behind a plane shock propagating upward into an exponentially decreasing atmosphere is considered. The flow is taken to be isothermal in view of the large radiation mean free paths associated with high altitudes and the intense radiation heat transfer accompanying the high temperatures characteristic of an accelerating shock wave. The equations of motion are formulated in Lagrangian coordinates and are integrated exactly for all values of the shock density ratio. Solutions are presented for the cases where the boundary conditions at the shock correspond to a supercritical shock and to a Chapman-Jouguet shock. A significant result of the analysis is that in both of these cases the shock propagates much faster than for the case of adiabatic flow. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1969
Accession Number
AD0696875

Entities

People

  • Dallas D. Laumbach
  • Ronald F. Probstein

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Altitude
  • Atmospheres
  • Boundaries
  • Equations
  • Equations Of Motion
  • Heat Transfer
  • High Altitude
  • High Temperature
  • Mean Free Path
  • Radiation
  • Shock
  • Shock Waves
  • Waves

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Rocket Propulsion.