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.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference8 articles.
1. Olver, F. W. J. 1949 Quart. J. Mech. Appl. Math. 2,452.
2. Lighthill, M. J. 1957c J. Fluid Mech. 3,113.
3. Lighthill, M. J. 1957b J. Fluid Mech. 2,493.
4. Courant, R. & Hilbert, D. 1937 Methoden der mathematischen Physik , II.Berlin:Springer.
5. Lighthill, M. J. 1956 J. Fluid Mech. 1,31.
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献