A note on Taylor’s stability rule

Title:
A note on Taylor's stability rule
Alternative Title:
Derivation of the range of acceleration where Taylor's stability rule reverses direction
Creator:
Kleinstein, Gerald G. (Author)
Language:
English
Publisher:
Springer-Verlag
Copyright date:
2011
Type of resource:
Text
Genre:
Articles
Format:
electronic
Digital origin:
born digital
Abstract/Description:
Analyzing the stability of the interface between two fluids of different densities which is accelerating normal to its surface, Taylor concluded a rule that "this surface is stable or unstable according to whether the acceleration is directed from the heavier to the lighter fluid or vice versa." We show by following Taylor's analysis that in the range where the acceleration of the interface is in the direction of the gravitational acceleration and its magnitude is smaller, this rule reverses direction. The interface is stable or unstable according to whether the acceleration is from the lighter to the heavier fluid or vice versa.
Comments:
Author's manuscript version of an article published in Acta Mechanica v.219 no.3-4 (July 2011), pp. 371-373. DOI:10.1007/s00707-011-0454-6
The final publication is available at www.springerlink.com.
Subjects and keywords:
surface stability
fluids
interface
Industrial Engineering
Permanent Link:
http://hdl.handle.net/2047/d20002071

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