Disturbances in a Wall Boundary Layer Introduced by an Array of Low-Intensity Vortices.

Abstract

To acquire insights into the role of freestream turbulence on laminar-turbulent transition, the interaction between arrays of single-wavenumber vortices convected at the mean freestream velocity is studied analytically and numerically. The boundary value problem consists of a nonhomogeneous, partial differential equation with forcing function depending on the mean flow and the freestream disturbances. The Orr-Summerfeld linear operator appears with phase speed unity and real wavenumber. The mathematical system is solved numerically via expansion in Chebyshev polynomials. Disturbance velocities, vorticity, energy, pressure, and Reynolds stresses were obtained over a range of the wavenumber, Reynolds number, vortex position relative to the plate, and skewing angle. Results are discussed. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1974
Accession Number
AD0785394

Entities

People

  • Eli Reshotko
  • Harold L. Rogler

Organizations

  • Case Western Reserve University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Chebyshev Polynomials
  • Differential Equations
  • Equations
  • Layers
  • Partial Differential Equations
  • Polynomials
  • Reynolds Number

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Fluid Mechanics and Fluid Dynamics.