Citation
Van Dyke, Milton Denman (1949) A Study of SecondOrder Supersonic Flow. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:12062017085319714
Abstract
An attempt is made to develop a second approximation to the solution of problems of supersonic flow which can be solved by existing firstorder theory. The method of attack adopted is an iteration procedure using the linearized solution as the first step.
Several simple problems are studied first in order to understand the limitations of the method. These suggest certain conjectures regarding convergence. A secondorder solution is found for the cone which represents a considerable improvement over the linearized result.
For plane and axiallysymmetric flows it is discovered that a particular integral of the iteration equation can be written down at once in terms of the firstorder solution. This reduces the secondorder problem to the form of the firstorder problem, so that it is effectively solved. Comparison with solutions by the method of characteristics indicates that the method is useful for bodies of revolution which have continuous slope.
For full threedimensional flow, only a partial particular integral has been found. As an example of a more general problem, the solution is derived for a cone at an angle. The possibility of treating other bodies of revolution at angle of attack and threedimensional wings is discussed briefly.
Item Type:  Thesis (Dissertation (Ph.D.))  

Subject Keywords:  Aeronautics; 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): 
 
Thesis Committee: 
 
Defense Date:  1 January 1949  
Funders: 
 
Record Number:  CaltechTHESIS:12062017085319714  
Persistent URL:  http://resolver.caltech.edu/CaltechTHESIS:12062017085319714  
Related URLs: 
 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  10587  
Collection:  CaltechTHESIS  
Deposited By:  Melissa Ray  
Deposited On:  14 Dec 2017 17:39  
Last Modified:  14 Dec 2017 17:39 
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