Crossflow Effects on the Growth Rate of Inviscid Goertler Vortices in a Hypersonic Boundary Layer

Abstract

The effects of crossflow on the growth rate of inviscid Gortler vortices in a hypersonic boundary layer with pressure gradient are studied in this paper. Attention is focused on the inviscid mode trapped in the temperature adjustment layer; this mode has greater growth rate than any other mode. The eigenvalue problem which governs the relationship between the growth rate, the crossflow amplitude and the wavenumber is solved numerically, and the results are then used to clarify the effects of crossflow on the growth rate of inviscid Gortler vortices. It is shown that crossflow effects on Gortler vortices are fundamentally different for incompressible and hypersonic flows. The neutral mode eigenvalue problem is found to have an exact solution, and as a by-product, we have also found the exact solution to a neutral mode eigenvalue problem which was formulated, but unsolved before, by Bassom and Hall (1991).

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1992
Accession Number
ADA253882

Entities

People

  • Philip Hall
  • Yibin Fu

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Computers
  • Contracts
  • Eigenvalues
  • Engineering
  • Equations
  • Equations Of State
  • Fluid Dynamics
  • Free Stream
  • Incompressible Flow
  • Inviscid Flow
  • Layers
  • Mach Number
  • Pressure Gradients
  • Three Dimensional

Fields of Study

  • Physics

Readers

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

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers
  • Hypersonics - Hypersonic Flight