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The free compressible viscous vortexThe present study investigates the effects of compressibility on free (unsteady) viscous heat-conducting vortices. Analytical solutions are found in the limit of large but finite Reynolds number and small but finite Mach number. It is shown that the spreading of the vortex causes a radial flow. This flow is given by the solution of an ordinary differential equation, which gives the dependence of the radial velocity on the tangential velocity, density, and temperature profiles of the vortex. Estimates of the radial velocity found by solving this equation are found to be in good agreement with numerical solutions of the full equations. The equations for the viscous evolution are expanded in powers of Mach number to obtain detailed analytical solutions. It is shown that swirling axisymmetric compressible flows generate negative radial velocities far from the vortex core owing to viscous effects, regardless of the initial distributions of vorticity, density, and entropy.
Document ID
19910071243
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Colonius, Tim
(Stanford Univ. CA, United States)
Lele, Sanjiva K.
(Stanford University CA, United States)
Moin, Parviz
(NASA Ames Research Center Moffett Field; Stanford University, CA, United States)
Date Acquired
August 14, 2013
Publication Date
September 1, 1991
Publication Information
Publication: Journal of Fluid Mechanics
Volume: 230
ISSN: 0022-1120
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
91A55866
Funding Number(s)
CONTRACT_GRANT: N00014-88-K-0592
Distribution Limits
Public
Copyright
Other

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