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Smooth transonic flow in an array of counter-rotating vortices

O'Reilly, G. K. and Pullin, D. I. (2005) Smooth transonic flow in an array of counter-rotating vortices. Journal of Fluid Mechanics, 524 . pp. 197-206. ISSN 0022-1120. doi:10.1017/S002211200400240X.

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Numerical solutions to the steady two-dimensional compressible Euler equations corresponding to a compressible analogue of the Mallier & Maslowe (Phys. Fluids, vol. A 5, 1993, p. 1074) vortex are presented. The steady compressible Euler equations are derived for homentropic flow and solved using a spectral method. A solution branch is parameterized by the inverse of the sound speed at infinity, $c_{\infty}^{-1}$, and the mass flow rate between adjacent vortex cores of the corresponding incompressible solution, $\epsilon$. For certain values of the mass flux, the solution branches followed numerically were found to terminate at a finite value of $c_{\infty}^{-1}$. Along these branches numerical evidence for the existence of extensive regions of smooth steady transonic flow, with local Mach numbers as large as 1.276, is presented.

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Additional Information:"Reprinted with the permission of Cambridge University Press." (Received 28 July 2004 and in revised form 7 October 2004) This work was supported by the Advanced Simulation Computing program (ASC) under subcontract no. B523297 of DOE contract W-7405-ENG-48.
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:327
Deposited By: Archive Administrator
Deposited On:30 May 2005
Last Modified:08 Nov 2021 19:01

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