Theory of slender compressible vortex filaments
© 2003 Elsevier Science Ltd. All rights reserved. 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.
Knio, O; Ting, L; Klein, R
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