Normal Shock Interaction with a Turbulent Boundary Layer on a Curved Wall,

Abstract

A detailed analysis is made of longitudinal surface curvature effects on the interaction of a weak normal shock with a non-separating two-dimensional turbulent boundary layer. It is shown that the interactive viscous displacement effect on the local outer inviscid transonic flow completely eliminates the well-known singularity pertaining to purely inviscid flow on a curved wall, i.e., the interactive pressure field is regular behind the shock. A study of the inner interaction solution within the boundary layer, however, reveals that curvature can influence the interaction but for a hitherto-overlooked reason: the effect on the turbulent eddy viscosity, which alters the boundary layer profile shape upon which the interaction depends. An approximate nonasymptotic solution is given which incorporates this effect and example numerical results are presented and verified by comparison with experimental data. Small amounts of curvature are found to moderately spread out and thicken the interaction zone while also beneficially delaying the onset of any incipient separation that occurs under the shock foot.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1978
Accession Number
ADA062353

Entities

People

  • George R. Inger
  • H. Sobieczky

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Engineering
  • Equations
  • Fluid Dynamics
  • Inviscid Flow
  • Mach Number
  • Pressure Distribution
  • Pressure Gradients
  • Reynolds Number
  • Shock Waves
  • Skin Friction
  • Turbulent Boundary Layer
  • Turbulent Flow
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.