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A Class of Three-Dimensional Optimum Wings in Hypersonic Flow


Zien, Tse-Fou (1967) A Class of Three-Dimensional Optimum Wings in Hypersonic Flow. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/X1J8-JK85.


The idea of using streamlines of a certain known flow field to construct generally three-dimensional lifting surfaces together with the method of evaluating the aerodynamic forces on the surfaces, developed by Nonweiler, Jones and Woods, has been extended and applied to axisymmetric hypersonic flow fields associated with a class of slender power-law shock waves of the form r ~ τxn in the limit of infinite free stream Mach number. For this purpose, the basic flow fields associated with concave shocks (n > 1) have first been calculated numerically at a fixed value of the ratio of specific heats γ = 1.40, and the results are presented in tabulated form, covering a wide range of values of n. The method of constructing a lifting surface either by prescribing its leading edge shape on the basic shock or by specifying its trailing edge shape in the plane x = 1 is then discussed. Expressions for lift and drag on the surface are derived. A class of optimum shapes giving minimum pressure drag at a fixed value of lift has been determined for every basic flow field with n ranging from 1/2 to 10 at γ = 1.40.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Aeronautics)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Cole, Julian D.
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 May 1967
Funding AgencyGrant Number
Record Number:CaltechETD:etd-11302005-135648
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4692
Deposited By: Imported from ETD-db
Deposited On:30 Nov 2005
Last Modified:20 Mar 2024 22:44

Thesis Files

PDF (Zien_tf_1967.pdf) - Final Version
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