Simple dynamical models for vortex breakdown of the B-type

D. Blackmore

doi:10.1007/BF01178520

Simple dynamical models for vortex breakdown of the B-type

D. Blackmore

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A simple, exact, locally convergent series solution of the Navier-Stokes and continuity equations for steady, incompressible, axisymmetric fluid flow is derived which exhibits the qualitative features of vortex breakdown of the bubble or B-type. This solution, which converges in a neighborhood of the axis of symmetry of the flow, is shown to produce vortex breakdown flows which are in good qualitative agreement with both experimentally and numerically observed B-type vortex breakdown phenomena.

Original language	English (US)
Pages (from-to)	91-101
Number of pages	11
Journal	Acta Mechanica
Volume	102
Issue number	1-4
DOIs	https://doi.org/10.1007/BF01178520
State	Published - Mar 1994

All Science Journal Classification (ASJC) codes

Computational Mechanics
Mechanical Engineering

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10.1007/BF01178520

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title = "Simple dynamical models for vortex breakdown of the B-type",

abstract = "A simple, exact, locally convergent series solution of the Navier-Stokes and continuity equations for steady, incompressible, axisymmetric fluid flow is derived which exhibits the qualitative features of vortex breakdown of the bubble or B-type. This solution, which converges in a neighborhood of the axis of symmetry of the flow, is shown to produce vortex breakdown flows which are in good qualitative agreement with both experimentally and numerically observed B-type vortex breakdown phenomena.",

author = "D. Blackmore",

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N2 - A simple, exact, locally convergent series solution of the Navier-Stokes and continuity equations for steady, incompressible, axisymmetric fluid flow is derived which exhibits the qualitative features of vortex breakdown of the bubble or B-type. This solution, which converges in a neighborhood of the axis of symmetry of the flow, is shown to produce vortex breakdown flows which are in good qualitative agreement with both experimentally and numerically observed B-type vortex breakdown phenomena.

AB - A simple, exact, locally convergent series solution of the Navier-Stokes and continuity equations for steady, incompressible, axisymmetric fluid flow is derived which exhibits the qualitative features of vortex breakdown of the bubble or B-type. This solution, which converges in a neighborhood of the axis of symmetry of the flow, is shown to produce vortex breakdown flows which are in good qualitative agreement with both experimentally and numerically observed B-type vortex breakdown phenomena.

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Simple dynamical models for vortex breakdown of the B-type

Abstract

All Science Journal Classification (ASJC) codes

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