On the Distribution on Entropy within the Structure of a Normal Shock Wave

Abstract

A unified mathematical account is given of the available knowledge, together with additional new results, of the entropy distribution through a normal shock wave. The most notable feature of this distribution is the fact that as long as heat conductivity is present the entropy will first increase within the shock until it reaches a maximum value at a certain point inside of the shock, and then diminishes to its final value behind the shock. A physical discussion of the results is given in addition to a review of the phenomena not usually included in the analysis of shock wave structure. A systematic review of classical shock wave structure according to the Navier-Stokes equations is included here together with a discussion of the physical validity of these equation . The structure of, and the entropy distribution within weak shock waves in general, and shock waves of arbitrary strength with Prandtl numbers of 0, 3/4 and infinity are analyzed in detail, together with qualitative results for shock waves in general.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1962
Accession Number
AD0284699

Entities

People

  • Morris Morduchow
  • Paul A. Libby

Organizations

  • New York University Tandon School of Engineering

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boltzmann Equation
  • Boundary Layer
  • Chemical Reactions
  • Computational Fluid Dynamics
  • Differential Equations
  • Diffusion Coefficient
  • Energy Transfer
  • Fluid Mechanics
  • Kinetic Theory
  • Mach Number
  • Mechanical Properties
  • Mechanics
  • Navier Stokes Equations
  • Theorems
  • Thermal Conductivity
  • Thermodynamics

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Theoretical Analysis.