Slow inviscid flows of a compressible fluid in spatially inhomogeneous systems

V.P. Ruban

doi:10.1103/PhysRevE.64.036305

Slow inviscid flows of a compressible fluid in spatially inhomogeneous systems

V.P. Ruban

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

An ideal compressible fluid is considered, with an equilibrium density being a given function of coordinates due to presence of some static external forces. The slow flows in such system, which do not disturb the density, are investigated with the help of the Hamiltonian formalism. The equations of motion of the system are derived for an arbitrary given topology of the vorticity field. The general form of the Lagrangian for frozen-in vortex lines is established. The local induction approximation for motion of slender vortex filaments in several inhomogeneous physical models is studied.

Original language	English
Journal	Physical Review E
Volume	64
Issue number	3
Pages (from-to)	036305.1-036305.7
ISSN	2470-0045
DOIs	https://doi.org/10.1103/PhysRevE.64.036305
Publication status	Published - 2001

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AB - An ideal compressible fluid is considered, with an equilibrium density being a given function of coordinates due to presence of some static external forces. The slow flows in such system, which do not disturb the density, are investigated with the help of the Hamiltonian formalism. The equations of motion of the system are derived for an arbitrary given topology of the vorticity field. The general form of the Lagrangian for frozen-in vortex lines is established. The local induction approximation for motion of slender vortex filaments in several inhomogeneous physical models is studied.

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Slow inviscid flows of a compressible fluid in spatially inhomogeneous systems

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