Axisymmetric flows of an incompressible fluid between movable rotating disks

Within the Karman family of exact solutions of the Navier-Stokes equations, some non-selfsimilar solutions are considered to the problem of unsteady incompressible flow between two rotating disks one of which moves along a common rotation axis. Three classes of the flow regimes are studied: (i) a fl...

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Bibliographic Details
Published in:Fluid dynamics 2011-08, Vol.46 (4), p.558-564
Main Author: Knyazev, D. V.
Format: Article
Language:English
Subjects:
Angular velocity
Classical and Continuum Physics
Classical Mechanics
Disks
Engineering Fluid Dynamics
Fluid dynamics
Fluid- and Aerodynamics
Incompressible flow
Mathematical analysis
Navier-Stokes equations
Physics
Physics and Astronomy
Rotating
Rotating disks
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Summary:Within the Karman family of exact solutions of the Navier-Stokes equations, some non-selfsimilar solutions are considered to the problem of unsteady incompressible flow between two rotating disks one of which moves along a common rotation axis. Three classes of the flow regimes are studied: (i) a flow between the non-rotating disks, (ii) a flow between the disks rotating with identical angular velocities, and (iii) a flow between the disks rotating with opposite velocities. Examples of exact rotationally symmetric solutions for the inviscid-fluid equations, satisfying the no-slip conditions, are given.
ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462811040065