The viscous modulation of Lamb’s dipole vortex

B.W. van de Fliert

doi:10.1063/1.868977

The viscous modulation of Lamb’s dipole vortex

B.W. van de Fliert

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Abstract

A description of the adiabatic decay of the Lamb dipolar vortex is motivated by a variational characterization of the dipole. The parameters in the description are the values of the entrophy and linear momentum integrals, which change in time due to the dissipation. It is observed that the dipole dilates during the decay process [radius R∼(νt)1/2], while the amplitude of the vortex and its translation speed diminish in time proportional to (νt)−3/2 and (νt)−1.

Original language	English
Pages (from-to)	1975-1977
Journal	Physics of fluids
Volume	8
Issue number	7
DOIs	https://doi.org/10.1063/1.868977
Publication status	Published - 1996

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METIS-200562

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10.1063/1.868977

Fliert1996viscousFinal published version, 79.6 KB

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abstract = "A description of the adiabatic decay of the Lamb dipolar vortex is motivated by a variational characterization of the dipole. The parameters in the description are the values of the entrophy and linear momentum integrals, which change in time due to the dissipation. It is observed that the dipole dilates during the decay process [radius R∼(νt)1/2], while the amplitude of the vortex and its translation speed diminish in time proportional to (νt)−3/2 and (νt)−1.",

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AB - A description of the adiabatic decay of the Lamb dipolar vortex is motivated by a variational characterization of the dipole. The parameters in the description are the values of the entrophy and linear momentum integrals, which change in time due to the dissipation. It is observed that the dipole dilates during the decay process [radius R∼(νt)1/2], while the amplitude of the vortex and its translation speed diminish in time proportional to (νt)−3/2 and (νt)−1.

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JF - Physics of Fluids

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The viscous modulation of Lamb’s dipole vortex

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