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Unit-Step Motion of a Wide Delta-Wing


Parkinson, Geoffrey Vernon (1951) Unit-Step Motion of a Wide Delta-Wing. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/73TW-ZE47.


The effect on a wide delta wing in supersonic flight of the sudden imposition of a small velocity perturbation normal to the plane of the wing is considered. The resulting pressure field on the wing is found in closed form in terms of elementary functions. The corresponding solution for the infinite swept wing with supersonic edges is obtained as a by-product, and for this the terms of the transient pressure coefficient are shown to have geometric significance. The force and moment coefficients are obtained by means of a method of descent, which simplifies the calculations and shows the nature of the dependence of these coefficients on the wing planform. Because of the short duration and moderate strength of the transient effects of the unit-step motion, it is considered to be of little practical importance. However, because of the simplicity of the solutions for the motion, it is also considered to be of possible theoretical value as a basis for Duhamel integration to obtain solutions for more general time-dependent motions of the wide delta wing.

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):
  • Stewart, Homer Joseph
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1951
Record Number:CaltechETD:etd-05052006-090936
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1628
Deposited By: Imported from ETD-db
Deposited On:23 May 2006
Last Modified:24 Apr 2023 22:41

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PDF (Parkinson_gv_1951.pdf) - Final Version
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