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Similarity Solution for Transonic Flow Past a Cone


Shen, Yung-chung (1956) Similarity Solution for Transonic Flow Past a Cone. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/74PX-HS89.


By applying a transonic expansion procedure to a conical flow field, a system of approximate transonic equations, boundary conditions, and shock relations is derived. A similarity law for the pressure coefficient on the surface of slender cones is established. The surface pressure is computed by solving the approximate equations. By use of similarity, the second order differential equations of the first two steps of the approximation scheme are reduced to first order equations. The solution of the first step is carried out numerically in great detail for different transonic parameters; the procedure for solving the latter is explained in the Appendix. The results are compared with the exact solution, and a highly satisfactory agreement is reached.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Aeronautics and Mathematics)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Minor Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Cole, Julian D.
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1956
Record Number:CaltechETD:etd-06282004-095155
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2749
Deposited By: Imported from ETD-db
Deposited On:29 Jun 2004
Last Modified:11 Aug 2023 19:02

Thesis Files

PDF (Shen_y_1956.pdf) - Final Version
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