The method of images in shear flow

1 December 1960

journal article
research article
Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics

Vol. 9 (4) , 561-580
https://doi.org/10.1017/s0022112060001316

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.

Keywords

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Methoden der Mathematischen Physik
Published by Springer Nature ,1937