University of Illinois Urbana-Champaign

Squire's theorem for the Rayleigh—Taylor problem with a phase boundary

Chen, Xuemei; Fried, Eliot

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https://hdl.handle.net/2142/342

Description

Title
Squire's theorem for the Rayleigh—Taylor problem with a phase boundary
Author(s)
  • Chen, Xuemei
  • Fried, Eliot
Issue Date
2006-03
Abstract
We consider the RayleighTaylor problem with a phase transformation. For simplicity, we restrict our attention to base states in which the interface convects with the phases, so that mass exchange between the phases occurs only in response to a disturbance. We find that every unstable three-dimensional disturbance (involving a pair of modes transverse to the interface) is associated with a more unstable two-dimensional disturbance (involving a single mode transverse to the interface) at lower values of the Weber, Froude, Reynolds, Voronkov, and Gurtin numbers. This constitutes an appropriate version of Squires theorem.
Publisher
Department of Theoretical and Applied Mechanics (UIUC)
Series/Report Name or Number
TAM Reports 1089, (2006)
ISSN
0073-5264
Type of Resource
text
Language
en
Permalink
http://hdl.handle.net/2142/342

Owning Collections

Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.