Some classes of one-dimensional singular integrodifferential equations with shift

1978 ◽  
Vol 19 (3) ◽  
pp. 360-371
Author(s):  
M. E. Besschetnov
Keyword(s):  
Integrodifferential Equations ◽  
One Dimensional ◽  
Singular Integrodifferential Equations

A cavitating aerofoil with a Prandtl-Batchelor eddy

1994 ◽  
Vol 98 (975) ◽  
pp. 171-176
Author(s):  
E. Zachariou ◽  
P. Wilmott ◽  
A. D. Fitt
Keyword(s):  
Simple Model ◽  
Integrodifferential Equations ◽  
Singular Integrodifferential Equations

Abstract A simple model is presented for an aerofoil with a recirculating Prandtl-Batchelor region behind a spoiler. Using thin aerofoil theory the model is posed as a pair of coupled nonlinear singular integrodifferential equations for the shape of the separating streamline and the distribution of vorticity along the aerofoil. These equations are solved numerically and results are presented. In particular, some conclusions are drawn regarding the lift on such aerofoils.

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