The Effects of Unsteady Potential Flow on Heated Laminar Boundary Layers in Water

Flow Properties and Stability

by William D. King, Jerry Aroesty, L. S. Yao, Walter W. Matyskiela


Full Document

FormatFile SizeNotes
PDF file 1.2 MB

Use Adobe Acrobat Reader version 10 or higher for the best experience.


Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback38 pages $15.00 $12.00 20% Web Discount

The effects of unsteadiness and the stability of boundary-layer flows as governed by the Orr-Sommerfeld equation are discussed. The condition required for validity of the quasi-steady approximation of governing flow equations is that the ratio of diffusion time to flow time should be small. It is also shown that criteria for validity of the quasi-steady approximation of the Orr-Sommerfeld equation are based on modifications of this ratio, and are not nearly as stringent. Examples of heated wedge flows in water that are presented and discussed show the profound effect of even slowly varying unsteadiness on both laminar boundary-layer flow and its stability.

This report is part of the RAND Corporation Report series. The report was a product of the RAND Corporation from 1948 to 1993 that represented the principal publication documenting and transmitting RAND's major research findings and final research.

Permission is given to duplicate this electronic document for personal use only, as long as it is unaltered and complete. Copies may not be duplicated for commercial purposes. Unauthorized posting of RAND PDFs to a non-RAND Web site is prohibited. RAND PDFs are protected under copyright law. For information on reprint and linking permissions, please visit the RAND Permissions page.

The RAND Corporation 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.