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Theoretical investigation of detached shock waves

Citation

Nagamatsu, Henry T. (1949) Theoretical investigation of detached shock waves. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-02092009-130132

Abstract

The problems associated with the detached shock wave are considered from the analytical standpoint in this report. For considering the general case for the detached shock wave, the nonstationary isentropic differential equation is derived. In general the stationary detached shock wave is curved and thus the flow back of the shock is rotational. The effect of rotational flow upon the velocity and pressure distribution over a circular cylinder is analyzed for a parabolic velocity distribution in the disturbed region.

The basic equations for both normal and oblique shock waves are presented and the significance of these equations to the problem of detached shock is discussed. The condition for the shock wave to be detached are presented and the mathematical formulation of the Tricomi type of differential equation for the detached shock wave is given.

The first approximation to the location of the detached shock wave is derived and the analytical results are correlated with the perimental data for spheres obtained from the supersonic wind tunnel and the ballistic range. The agreement was found to be satisfactory.

The existence and uniqueness of a potential solution for an infinite wedge with normal detached shock wave moving at constant velocity is presented. It is shown that, even for an infinite wedge with normal detached shock wave the potential solution does not exist.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Stewart, Homer Joseph
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1949
Record Number:CaltechETD:etd-02092009-130132
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-02092009-130132
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:582
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:11 Feb 2009
Last Modified:26 Dec 2012 02:30

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