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Development of a numerical method to solve the three-dimensional compressible laminar boundary-layer equations with application to elliptical cones at angle of attack

A method for solving general compressible three-dimensional boundary-layer flows is developed. The equations are initially placed in a Crocco-type form which makes use of similarity variables. A general solution technique which employs an implicit finite-difference scheme that is stable for negative transverse velocities is developed. The solutions for some 10° vertical half-angle elliptical cones of varying ellipticity ratios at up to 8° angle of attack at a Mach number of 7.95 are presented. Skin friction and heat-transfer-rate distributions are presented for all cases. Good agreement has been found with experiment for the heat-transfer rates on circular cones at angle of attack. It has also been determined that increasing ellipticity tended to produce large heat-transfer-rate gradients, and large increases in the peak heat-transfer rates and peak skin frictions. It has also been found that for even moderate angles of attack and small ellipticity ratios the peak heat-transfer rate and peak longitudinal skin friction fall close to the major axis of the cone. / Master of Science

Identiferoai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/71036
Date January 1970
CreatorsMcGowan, John James
ContributorsEngineering Mechanics
PublisherVirginia Polytechnic Institute and State University
Source SetsVirginia Tech Theses and Dissertation
LanguageEnglish
Detected LanguageEnglish
TypeThesis, Text
Formatxi, 105 pages, 1 unnumbered leaves, application/pdf, application/pdf
RightsIn Copyright, http://rightsstatements.org/vocab/InC/1.0/
RelationOCLC# 38532373

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