On the Stability of Flow between a Rotating Circular Cylinder and an Outer Non‐Circular Cylinder

On the Stability of Flow between a Rotating Circular Cylinder and an Outer Non‐Circular Cylinder

We derive the first approximation to the steady‐state basic flow between a rotating, circular inner cylinder and an outer fixed non‐circular cylinder, when the dimensionless gap‐width is small. The stability of this flow to Taylor vortex‐like small disturbances is then studied by a WKB method for se...

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Veröffentlicht in:Quarterly journal of mechanics and applied mathematics 2001-11, Vol.54 (4), p.641-653
1. Verfasser: EAGLES, P. M
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Physics
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Zusammenfassung:We derive the first approximation to the steady‐state basic flow between a rotating, circular inner cylinder and an outer fixed non‐circular cylinder, when the dimensionless gap‐width is small. The stability of this flow to Taylor vortex‐like small disturbances is then studied by a WKB method for several types of outer cylinder.
ISSN:0033-5614
1464-3855
DOI:10.1093/qjmam/54.4.641