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Expansion Procedures and Similarity Laws for Transonic Flow


Messiter, Arthur Frederic (1957) Expansion Procedures and Similarity Laws for Transonic Flow. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4HK0-K279.


The transonic flow past slender bodies and thin wings is investigated with the use of a general theory of expansion procedures. It is assumed that the solutions for the velocity components possess asymptotic expansions of a very general form, and the differential equations and boundary conditions for the first and higher approximations are obtained by applying appropriate limiting procedures to the full equations. The following cases are treated: 1) bodies of revolution at zero incidence; 2) bodies of nearly circular cross-section, at zero incidence; 3) bodies of revolution at an angle of attack; and 4) thin wings at zero incidence. Certain first-order similarity laws are derived for these problems, and the order of magnitude of the error is stated in each case.

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 1957
Record Number:CaltechETD:etd-07152004-091254
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2889
Deposited By: Imported from ETD-db
Deposited On:16 Jul 2004
Last Modified:11 Oct 2023 23:44

Thesis Files

PDF (Messiter,jr_af_1957.pdf) - Final Version
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