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Steady compressible vortex flows: the hollow-core vortex array

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. doi:10.1017/S0022112095003764.

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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.

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Meiron, D. I.0000-0003-0397-3775
Additional Information:© 1995 Cambridge University Press. Reprinted with permission. (Received 28 December 1994 and in revised form 26 June 1995)
Record Number:CaltechAUTHORS:ARDjfm95
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9052
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Deposited On:23 Oct 2007
Last Modified:08 Nov 2021 20:55

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