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Zien, Tse-Fou (1967-05-01) A class of three dimensional optimum wings in hypersonic flow. http://resolver.caltech.edu/CaltechETD:etd-11302005-135648


Type of Document Dissertation
Author Zien, Tse-Fou
URN etd-11302005-135648
Persistent URL http://resolver.caltech.edu/CaltechETD:etd-11302005-135648
Title A class of three dimensional optimum wings in hypersonic flow
Degree PhD
Option Aeronautics
Advisory Committee
Advisor Name Title
Julian D. Cole Committee Chair
Keywords
  • none
Date of Defense 1967-05-01
Availability unrestricted
Abstract
NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document.

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 [...] 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 [...] = 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 [...] = 1.40.

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