# Non-linear dynamics of a two phase flow system in an evaporator: The effects of (i) a time varying pressure drop (ii) an axially varying heat flux

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### "Non-linear dynamics of a two phase ..." refers methods in this paper

...The method of characteristics employed by Achard et al. (1985) can be used only when the heat flux is constant....

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...The first detailed theoretical study of DWO was carried out by Achard et al. (1985) using the homogeneous equilibrium model (HEM) for the two phase flow....

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...The linear stability analysis and the determination of the stability boundaries using the D-partition method are discussed in Achard et al. (1985) for the case of a constant Npch....

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...The first detailed theoretical study of DWO was carried out by Achard et al. (1985) using the homogeneous equilibrium model (HEM) for the two phase flow. They obtained the marginal stability boundary (MSB) across which DWO occur and the boundary across which Ledinegg instability occurs (Ledinegg stability boundary or LSB) in the two-dimensional parameter space of subcooling number and friction number using the D-partition method. They transformed their system of hyperbolic equations to an integro-differential system in inlet velocity using the method of characteristics for their analysis. Rizwan-uddin and Dorning (1986) followed the method of Achard et al. and used the drift-flux model. They obtained the MSB for DWO in the parameter space of sub-cooling number and phase change number and compared their results with experiments. In a later study (Rizwan-uddin and Dorning, 1988, 1990) the effect of a periodic perturbation in the imposed pressure drop on the system behaviour was considered. It was shown that the system can exhibit sub-harmonic or quasi-periodic or chaotic behaviour depending on the amplitude and the frequency of the periodic forcing. A limitation of this approach based on the method of characteristics is that it can be applied only when the heat flux at the surface is independent of axial position. The numerical codes existing in the literature like PHOENICS, SETS assume a pressure variation in the channel (Jones (1987))....

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...The first detailed theoretical study of DWO was carried out by Achard et al. (1985) using the homogeneous equilibrium model (HEM) for the two phase flow. They obtained the marginal stability boundary (MSB) across which DWO occur and the boundary across which Ledinegg instability occurs (Ledinegg stability boundary or LSB) in the two-dimensional parameter space of subcooling number and friction number using the D-partition method. They transformed their system of hyperbolic equations to an integro-differential system in inlet velocity using the method of characteristics for their analysis. Rizwan-uddin and Dorning (1986) followed the method of Achard et al....

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90 citations

### "Non-linear dynamics of a two phase ..." refers background in this paper

...Yadigaroglu and Bergles (1972) have reported a destabilising effect of a periodic variation of heat flux....

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85 citations

### "Non-linear dynamics of a two phase ..." refers background in this paper

...Assumptions 3 and 4 have been shown to be appropriate for theoretical predictions by Saha and Zuber (1978)....

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...Assumptions 3 and 4 have been shown to be appropriate for theoretical predictions by Saha and Zuber (1978). These authors have considered a drift flux model along with thermal non-equilibrium and have found the stability boundaries quite close to those predicted by the homogeneous equilibrium model....

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53 citations