ENTROPY BOUNDARY LAYERS,

Abstract

Crocco's equation for the entropy gradients in an inviscid compressible flow is extended to flows with viscosity and conductivity using the boundary layer equations of motion. The general structure of the entropy boundary layer is discussed and entropy profiles are presented for the Pr = 1 boundary layer using 'cold', 'hot' and adiabatic wall conditions at several representative subsonic and supersonic Mach numbers. For an adiabatic wall the entropy profile has an inverse boundary layer structure in velocity coordinates, the greatest variation occurring near the outer edge of the boundary layer, while the entropy near the wall is essentially constant. For 'cold' wall conditions total enthalpy gradients and vorticity have opposing effects, and the entropy profile can have a maximum provided M at infinity exceeds a minimum critical value. Entropy is a convenient state variable with which to express the variation of vorticity and total enthalpy in a supersonic boundary layer prior to a rapid expansion or separation and can be used to describe these two phenomena in much the same manner that entropy is presently used to describe the flow behind a curved shock wave. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0611126

Entities

People

  • S. Weinbaum

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Compressible Flow
  • Enthalpy
  • Equations
  • Equations Of Motion
  • Flow
  • Layers
  • Mach Number
  • Shock Waves

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers
  • Hypersonics - Hypersonic Flow