The Mathematical Institute, University of Oxford, Eprints Archive

Stability and instability in evaporating two-phase flows

Aldridge, C. J. and Fowler, A. C. (1996) Stability and instability in evaporating two-phase flows. Surveys on Mathematics for Industry, 6 . pp. 75-107.

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Abstract

We review the analysis of linear and nonlinear stability in heated two-phase flows in a channel, with particular reference to the operation of boilers. Two main classes of instability are static (or Ledinegg) instability, wherein a small perturbation leads to a flow excursion to a different operating state, and oscillatory instability, also called density-wave oscillations. These instabilities correspond respectively to exchange of stability and Hopf bifurcation. We illustrate this existence in an asymptotically reduced two-fluid mathematical model, and we compare these results to those of other authors.

Item Type:Article
Subjects:D - G > Fluid mechanics
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:1689
Deposited By: Helen Taylor
Deposited On:21 Mar 2013 08:37
Last Modified:29 May 2015 19:23

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