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.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Engineering Mechanics

Department dc:contributor.department

Engineering Mechanics

Grantor dc:publisher

Virginia Polytechnic Institute and State University

Year dc:date.issued

1970

Author dc:creator

• McGowan, John James

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/10919/71036

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/71036