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The stability of spiral flow between coaxial cylinders

โœ Scribed by Min Ho Lee


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
522 KB
Volume
41
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


We investigate the hydrodynamic stability for the motion of a viscous incompressible fluid between two coaxial cylinders which move spirally along their common axis assuming that the gap between the cylinders is small and that the Reynolds number is small compared to the Taylor number. We use the variational method to derive a relation between the critical Taylor number and the Reynolds number. (~) 2001 Elsevier Science Ltd. All rights reserved.


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Stability of a viscous flow between two
โœ Yun-Sheng Yu; Dah-Chen Sun ๐Ÿ“‚ Article ๐Ÿ“… 1964 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 572 KB

The stability of a viscous flow between two rotating coaxial cylivaders with large ratio of gap-width to cylinder-radius is investigated. The mathematical characteristic value problem is solved approximately. Numerical calculations for the radius-ratio equal to 1.71 are carried out to determine the