- A note on Taylor's stability rule
- Alternative Title:
- Derivation of the range of acceleration where Taylor's stability rule reverses direction
- Kleinstein, Gerald G. (Author)
- Copyright date:
- Type of resource:
- Digital origin:
- born digital
- 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.
- 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
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