Ardalan, K. and Meiron, D. I. and Pullin, D. I. (1995) Steady compressible vortex flows: the hollow-core vortex array. Journal of Fluid Mechanics, 301 . pp. 1-17. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:ARDjfm95
See Usage Policy.
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:ARDjfm95
We examine the effects of compressiblity on the structure of a single row of hollowcore, constant-pressure vortices. The problem is formulated and solved in the hodograph plane. The transformation from the physical plane to the hodograph plane results in a linear problem that is solved numerically. The numerical solution is checked via a Rayleigh-Janzen expansion. It is observed that for an appropriate choice of the parameters M[infty infinity] = q[infty infinity]/c[infty infinity], and the speed ratio, a = q[infty infinity]/qv, where qv is the speed on the vortex boundary, transonic shock-free flow exists. Also, for a given fixed speed ratio, a, the vortices shrink in size and get closer as the Mach number at infinity, M[infty infinity], is increased. In the limit of an evacuated vortex core, we find that all such solutions exhibit cuspidal behaviour corresponding to the onset of limit lines.
|Additional Information:||Copyright © 1995 Cambridge University Press. Reprinted with permission. (Received 28 December 1994 and in revised form 26 June 1995)|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||23 Oct 2007|
|Last Modified:||21 Sep 2016 22:39|
Repository Staff Only: item control page