Theory of slender compressible vortex filaments

O. Knio*, L. Ting, R. Klein

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Scopus citations


The asymptotic theory of incompressible slender vortex filaments is extended to account for the compressibility effect of high swirling flow in the vortical core. We derive the equations of motion of a filament and equations for the evolution of the core structure, the large swirling and axial velocity and the density profiles. We highlight how the equations and solutions for the compressible flows differ from those for the incompressible flows.

Original languageEnglish (US)
Title of host publicationComputational Fluid and Solid Mechanics 2003
PublisherElsevier Inc.
Number of pages3
ISBN (Electronic)9780080529479
ISBN (Print)9780080440460
StatePublished - Jun 2 2003
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2003 Elsevier Science Ltd. All rights reserved.


  • Asymptotic theory
  • Compressible core structure
  • Vortex filaments

ASJC Scopus subject areas

  • General Engineering


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