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The analysis of nonlinear density-wave oscillations in boiling channels

Published online by Cambridge University Press:  20 April 2006

Jean-Luc Achard ,
Donald A. Drew  and
Richard T. Lahey
Jean-Luc Achard
Affiliation:
Institute de Mécanique de Grenoble, B.P. 53 X, 38041 Grenoble Cedex
Donald A. Drew
Affiliation:
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12181
Richard T. Lahey
Affiliation:
Department of Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, New York 12181
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Abstract

Thermally induced flow instabilities in uniformly heated boiling channels have been studied analytically. The classical homogeneous equilibrium model was used. This distributed model was transformed into an integrodifferential equation for inlet velocity. A linear analysis showed interesting features (i.e. islands of instability) of the marginal stability boundary which appear when the effects of gravity and friction were systematically considered. A quasilinear Hopf-bifurcation analysis, valid near the marginal-stability boundaries, gives the amplitude and frequency of limit-cycle oscillations that can appear on the unstable side of the boundary. The analysis also shows cases where a finite-amplitude perturbation can cause a divergent instability on the stable side of the linear-stability boundary.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 155 , June 1985 , pp. 213 - 232
Copyright
© 1985 Cambridge University Press

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