ON THE WAVE SURFACES OF A GAS IN MOTION.

Abstract

Some of the mathematical tools needed for a theoretical study of the propagation of wavefronts in a gas in motion are derived. In mathematical terms, the study concerns itself with the characteristic manifolds of the partial differential equations governing gas dynamics in two spatial variables and the time; and also with the interior relations in these surfaces. Equations governing these wavefronts are derived, valid in four different coordinate systems -- plane Cartesian, cylindrical with axial symmetry, plane polar, spherical polar and axial symmetry. The interior relations are worked out in detail in one case. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1970
Accession Number
AD0708042

Entities

People

  • B. Zondek

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Coordinate Systems
  • Differential Equations
  • Dynamics
  • Equations
  • Gas Dynamics
  • Mathematics
  • Partial Differential Equations
  • Symmetry
  • Wavefronts

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics