A Statistical Analysis of the Effect of Freestream Turbulence of the Blasius Boundary Layer.
Abstract
This paper considers the flow past a flat plate. When the flow is uniform the Blasius boundary layer forms on the plate. Herein the usual uniform free stream is perturbed by a small amplitude field of random three-dimensional turbulence. Using a numerical technique the statistical response in the boundary layer due to the turbulence in the free stream is computed in terms of auto- and cross-correlation functions. The field variables are expended in finite Chebyshev series and the space-time correlations of these functions are found by forming correlation matrices with the vectors of random coefficients of the Chebyshev expansions. The main result of the evaluations is the fact that three dimensional random infinitesimal free stream turbulence produces a fully three dimensional response in the boundary layer. The excited field includes the presence of streamwise vorticity as well which was previously thought to be due to secondary instability.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1985
- Accession Number
- ADA163606
Entities
People
- Philip J. Morris
- Thomas J. Bridges
Organizations
- University of Wisconsin–Madison