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Homogeneous Flow Fields of Degree Greater than Zero


Lampert, Seymour (1954) Homogeneous Flow Fields of Degree Greater than Zero. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/W215-QX89.


Solutions to the Prandtl-Glauert differential equation expressed in terms of polynomial type Lame functions can be applied to the problem of the thin delta wings with subsonic leading edges in a supersonic flow field. It is demonstrated how these functions of different species and degrees of homogeneity may be employed to obtain previously known results for certain lifting cases. For the non-lifting or thickness case which is treated in detail in this paper it is shown that a large class of thickness distributions with blunt leading edges my be obtained by systematically studying the Lame functions of the first species. In particular these functions have been investigated up to, and including, n = 5. It is further shown by the methods of this paper that the prescription of the pressure distribution in problems of this sort is not always sufficient to determine the thickness distribution uniquely.

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 1954
Record Number:CaltechETD:etd-01092004-094836
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:75
Deposited By: Imported from ETD-db
Deposited On:12 Jan 2004
Last Modified:12 Jun 2023 23:16

Thesis Files

PDF (Lampert_s_1954.pdf) - Final Version
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