Introduction to three-dimensional boundary layers [by] Frederick S. Sherman.

Frederick S. Sherman

ResearchPublished 1968

The basic concept of a three-dimensional boundary layer is reviewed from both physical and mathematical viewpoints. Emphasis is placed on the various causes of secondary flow, particularly geodesic curvature of the surface streamlines of inviscid flow. Various exact solutions for steady, incompressible laminar flow are reexamined, a proposal for a finite-difference scheme for arbitrary inviscid flows and surface conditions is sketched, and the momentum-integral method and other approximation schemes are briefly discussed. Also considered are compressibility effects, laminar-flow stability, transition to turbulence, displacement thickness of a three-dimensional boundary layer, and the incompressible turbulent boundary layer. It is concluded that very successful three-parameter models of mean velocity profiles exist, but methods for predicting the variation of the profile parameters are essentially deficient. Suggestions for future work include further study of the method of characteristics for solving momentum-integral equations, mapping of the skin friction field in laminar flow, and synoptic exploration of three-dimensional turbulent boundary layers. 108 pp. Bibliog.

Document Details

  • Availability: Web Only
  • Year: 1968
  • Pages: 108
  • Document Number: RM-4843-PR

Citation

Chicago Manual of Style

Sherman, Frederick S., Introduction to three-dimensional boundary layers [by] Frederick S. Sherman. Santa Monica, CA: RAND Corporation, 1968. https://www.rand.org/pubs/research_memoranda/RM4843.html.
BibTeX RIS

This publication is part of the RAND research memorandum series. The research memorandum series, a product of RAND from 1948 to 1973, included working papers meant to report current results of RAND research to appropriate audiences.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.