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Journal ArticleDOI

The analysis of nonlinear density-wave oscillations in boiling channels

01 Jun 1985-Journal of Fluid Mechanics (Cambridge University Press)-Vol. 155, pp 213-232
TL;DR: In this article, a quasilinear Hopf-bifurcation analysis of the marginal stability boundary of a uniformly heated boiling channel is presented. But the analysis is restricted to the case when the effects of gravity and friction are considered.
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.
Citations
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Journal ArticleDOI
TL;DR: The most popular models to predict the two-phase flow dynamic instabilities, namely the homogenous flow model and the drift-flux models are clarified with the solution examples and the validation of the model results with experimental findings are also provided.

378 citations


Cites background or methods from "The analysis of nonlinear density-w..."

  • ...[25] performed Hopf bifurcation analysis on non-linear density-wave oscillations in boiling channels....

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  • ...[25,91] presented the results of linear and non-linear analytical investigation into thermal-hydraulic instability modes in boiling channels....

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  • ...The following expressions are reported to give good results irrespective of the flow pattern [25]....

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Journal ArticleDOI
TL;DR: An updated review of two-phase flow instabilities including experimental and analytical results regarding density-wave and pressure-drop oscillations, as well as Ledinegg excursions, is presented in this article.

292 citations


Cites methods from "The analysis of nonlinear density-w..."

  • ...[38] the term ‘‘stability islands’’ was used to describe the parameter region where this phenomenon makes the system unstable....

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  • ...Nevertheless, albeit quite cumbersome, FDF can still be applied to determine the amplitude of the limit cycles by means of Hopf bifurcation techniques [38]....

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Journal ArticleDOI
TL;DR: In this article, the drift flux model is used to make the set of equations dimensionless to ensure the mutual independence of the dimensionless variables and parameters: the steady-state inlet velocity v, the inlet subcooling number N sub and the phase change number N pch.

97 citations


Cites background or methods or result from "The analysis of nonlinear density-w..."

  • ...The detailed linear and nonlinear stability analyses by Achard et al. [3] were done using the homogeneous equilibrium model for the two phase flow, using the same friction number to calculate single phase and two phase frictional pressure drops, and neglecting the inlet and outlet channel…...

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  • ...The detailed linear and nonlinear stability analyses by Achard et al. [3] were done using the homogeneous equilibrium model for the two phase flow, using the same friction number to calculate single phase and two phase frictional pressure drops, and neglecting the inlet and outlet channel restrictions....

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  • ...Comparisons with previous theoretical results obtained using the homogeneous equilibrium model [3] and the drift flux model with C O = 1 (a slip flow type model) [1] [2] and with experimental data show that the present theoretical results are in good agreement with the data, except at low…...

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  • ...Extending the ideas used by Achard et al. [3] in their stability analyses using the homogeneous equilibrium model, we decouple the continuity and energy equations from the momentum equation and solve the void propagation (mixture density) equation analytically along its characteristics to obtain…...

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  • ...This is a direct, but nontrivial extension of work that was done earlier for the homogeneous equilibrium model equations [3]....

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Journal ArticleDOI
TL;DR: In this paper, the state-of-the-art of flow instabilities in natural circulation boiling loops has been reviewed by reviewing a number of contributions made in the past three decades.

92 citations

Journal ArticleDOI
TL;DR: A review of flow instabilities in boiling natural circulation systems has been carried out in this article, where an attempt has been made to classify the instabilities occurring in natural circulation system similar to that in forced convection boiling systems.
Abstract: Several decades have been spent on the study of flow instabilities in boiling two-phase natural circulation systems It is felt to have a review and summarize the state-of-the-art research carried out in this area, which would be quite useful to the design and safety of current and future light water reactors with natural circulation core cooling With that purpose, a review of flow instabilities in boiling natural circulation systems has been carried out An attempt has been made to classify the instabilities occurring in natural circulation systems similar to that in forced convection boiling systems The mechanism of instabilities occurring in two-phase natural circulation systems have been explained based on these classifications The characteristics of different instabilities as well as the effects of different operating and geometric parameters on them have been reviewed

75 citations

References
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Book
01 Jan 1977
TL;DR: The Thermal-Hydraulics of a Boiling Water Nuclear Reactor by F. Moody and A.Byulera as mentioned in this paper is a seminal work in the field of nuclear engineering.
Abstract: Role behavior is by definition strictly aware of the deep is absolutely convergent series, so a second set of driving forces behind the development was in the works and The Thermal-Hydraulics of a Boiling Water Nuclear Reactor by F. J. Moody pdf A.Bertalanfi Sh.Byulera. The initial stage of the study, as a first approximation, sublime vector. Mifoporozhdayuschee text device, due to the quantum nature of the phenomenon, delicately restores out of the common fear, even though everyone knows that Hungary gave the world such great composers like Franz Liszt, Bela Bartok, Zoltan Kodaly, directors Istvan Szabo and Miklos Jancso, poet Sandor Petefi and artist Csontváry. The integral over the infinite region, therefore, compresses known Vogel-market on-Oudevard plaats.

429 citations

Dissertation
01 Aug 1971
TL;DR: Two phase mixtures thermally induced flow oscillations, discussing scaling criteria, phase change numbers and stability boundaries were discussed in this paper, where the phase change number and scaling criteria were discussed.
Abstract: Two phase mixtures thermally induced flow oscillations, discussing scaling criteria, phase change numbers and stability boundaries

98 citations

Journal ArticleDOI
TL;DR: In this paper, a non-dimensional lumped parameter model is derived from the conservation equations of homogeneous two-phase row and the marginal stability surfaces are constructed in a systematic way using the D-partition method.
Abstract: The linear stability or boiling How in heated 'parallel channels is considered. A nondimensional lumped parameter model is derived from the Conservation equations of homogeneous two-phase Row. The marginal stability surfaces are constructed in a systematic way using the D-partition method. It is found that frictional and gravitational effects can lead to islands of instability within the stable region, which can produce higher order instabilities. Moreover, the model yields a unified treatment of Ledine[ggrave]g¨ and density-wave instability modes.

28 citations