Exact vortex solutions of the Navier–Stokes equations with axisymmetric strain and suction or injection

New solutions of the Navier–Stokes equations are presented for axisymmetric vortex flows subject to strain and to suction or injection. Those expressible in simple separable or similarity form are emphasized. These exhibit the competing roles of diffusion, advection and vortex stretching.

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Bibliographic Details
Published inJournal of fluid mechanics Vol. 626; pp. 291 - 306
Main Author CRAIK, ALEX D. D.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 10.05.2009
Subjects
Exact sciences and technology
Fluid dynamics
Fluid mechanics
Fundamental areas of phenomenology (including applications)
General theory
Injection
Navier-Stokes equations
Physics
Rotational flow and vorticity
Vortex dynamics
Aspiration
Polar coordinate
Vortices
Vortex flow
Incompressible fluid
Fluid injection
Axial symmetry
Navier-Stokes equations
Exact solution
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Summary:New solutions of the Navier–Stokes equations are presented for axisymmetric vortex flows subject to strain and to suction or injection. Those expressible in simple separable or similarity form are emphasized. These exhibit the competing roles of diffusion, advection and vortex stretching.
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ark:/67375/6GQ-D3764JMP-J
PII:S0022112009005849
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ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112009005849