Achard, Jean-Luc; Drew, Donald A.; Lahey, Richard T. The analysis of nonlinear density-wave oscillations in boiling channels. (English) Zbl 0585.76064 J. Fluid Mech. 155, 213-232 (1985). Summary: 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. Cited in 4 Documents MSC: 76E30 Nonlinear effects in hydrodynamic stability 76T99 Multiphase and multicomponent flows Keywords:Thermally induced flow instabilities; uniformly heated boiling channels; classical homogeneous equilibrium model; integrodifferential equation for inlet velocity; islands of instability; marginal stability boundary; quasilinear Hopf-bifurcation analysis; limit-cycle oscillations; finite- amplitude perturbation; divergent instability; linear-stability boundary PDF BibTeX XML Cite \textit{J.-L. Achard} et al., J. Fluid Mech. 155, 213--232 (1985; Zbl 0585.76064) Full Text: DOI OpenURL References: [1] Krishnan, AIChE Symp. Ser. 76 pp 461– (1980) [2] Kazarinoff, J. Inst. Maths Applics 21 pp 461– (1978) [3] Hopf, Ber. Math. Phys. Kl. Sächs Acad. Wiss. Leipzig 94 pp 1– (1942) [4] Achard, Chem. Engng Commun. 11 pp 59– (1981) [5] Yadigaroglu, J. Heat Transfer 94 pp 189– (1972) [6] Serov, Trudy, Moscow Energ. Inst. 11 pp 461– (1953) [7] DOI: 10.1017/S0022112081003509 · Zbl 0493.76024 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.