Citation
Wylly, Alexander (1951) A second order solution for an oscillating, twodimensional, supersonic airfoil. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd03232009084121
Abstract
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In this paper a secondorder solution, for the forces and moments produced by an oscillating twodimensional airfoil of arbitrary cross section, has been determined. This solution was obtained by means of an iteration procedure. In the iteration procedure it was necessary to have a linearized solution of simple, closed form which was valid throughout the whole x, y plane. Existing solutions did not satisfy these requirements, thus, it was first necessary to develop a new linearized or firstorder velocity potential. This potential was developed as a power series approximation, in frequency, to the exact linearized solution. Six terms of this series were developed and this sixthorder solution shown to be within a few percent of the exact linearized solution for reduced frequencies [...] less than 1.3.
The first two terms of the series approximation were then used in the iteration process to produce the secondorder solution in thickness. This solution which is valid to secondorder in thickness and frequency has been determined for an oscillating airfoil of general cross section.
The secondorder terms were found to have a relatively strong influence on the final solution, particularly for the pitching moment. It will be seen in Section V that in many cases the secondorder terms are larger in magnitude than the corresponding first orderterms and thus reverse the tendencies indicated by firstorder theory. In particular, it was shown that the theoretical instability predicted by linearized theory for an airfoil of zero thickness is completely eliminated for an airfoil having a thickness ratio as small as three percent.
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): 

Thesis Committee: 

Defense Date:  1 January 1951 
Record Number:  CaltechETD:etd03232009084121 
Persistent URL:  http://resolver.caltech.edu/CaltechETD:etd03232009084121 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  1076 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  23 Mar 2009 
Last Modified:  26 Dec 2012 02:35 
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