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The method of images in shear flow

Published online by Cambridge University Press:  28 March 2006

M. B. Glauert
M. B. Glauert
Affiliation:
Department of Mathematics, University of Manchester
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Abstract

The method of images is used to determine the flow perturbation caused by a small point source of fluid in a stream containing a vortex sheet, a number of vortex sheets, or a continous two-dimensional distribution of vorticity. Calculations are carried out for a variety of such shear flows, to illustrate the range of applicability of the method.

The image source distribution provides an alternative approach to that given by Lighthill for calculating small disturbances to a parallel shear flow, and suggests a simple physical picture by which to interpret the complicated effects associated with the distortion and stretching of vortex lines.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 9 , Issue 4 , December 1960 , pp. 561 - 580
Copyright
© 1960 Cambridge University Press

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References

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