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Viscous Vortical Flows [electronic resource] / by Lu Ting, Rupert Klein.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Physics ; 374Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1991Description: V, 222 p. 18 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540470090
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 530.15 23
LOC classification:
  • QC5.53
Online resources:
Contents:
Vortex dominated flows and general theory -- Motion and decay of vortex filaments -- Numerical solutions of viscous vortical flows -- Closing remarks.
In: Springer eBooksSummary: This is a comprehensive account of the asymptotic theory of slender vortices with diffusion cores. Addressed to both graduate students and researchers it describes the mathematical model and its numerical analysis. The asymptotic analysis involves two length and two time scales. Consistency conditions and time invariance of moments of vorticity are given and applied to numerical solutions. The authors also describe consistency conditions between the large circumferential and axial velocity in the core.
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Vortex dominated flows and general theory -- Motion and decay of vortex filaments -- Numerical solutions of viscous vortical flows -- Closing remarks.

This is a comprehensive account of the asymptotic theory of slender vortices with diffusion cores. Addressed to both graduate students and researchers it describes the mathematical model and its numerical analysis. The asymptotic analysis involves two length and two time scales. Consistency conditions and time invariance of moments of vorticity are given and applied to numerical solutions. The authors also describe consistency conditions between the large circumferential and axial velocity in the core.

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