Linearized Integral Theory of the Viscous Compressible Flow Past a Wavy Wall,

Abstract

Two integral theories for compressible flow are derived from the calculation of pressure on a perturbed plane wall in the presence of viscous boundary layer. A simple theory is derived from the von Karman momentum integral equation, and a rational theory is derived by iteration from asymptotic perturbation theory. In both theories, the wall pressure amplitude and phase angle are functions of a single similarity parameter X which is proportional to boundary layer thickness. The two theories are compared with experimental results and with numerical calculations based on asymptotic perturbation theory. Qualitative and quantitative results based on the rational integral theory are compared with experimental results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1972
Accession Number
AD0746332

Entities

People

  • John E. Yates

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Boundary Layer
  • Compressible Flow
  • Equations
  • Flow
  • Integral Equations
  • Integrals
  • Iterations
  • Layers
  • Mathematical Analysis
  • Mathematics
  • Momentum
  • Perturbation Theory
  • Perturbations

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.