1989
DOI: 10.1016/0301-9322(89)90058-x
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Flow instabilities in parallel-channel flow systems of gas-liquid two-phase mixtures

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Cited by 65 publications
(21 citation statements)
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“…Rizwan-uddin and Doming [26,27] conducted non-linear numerical simulations of density-wave oscillations. Ozawa et al [28] have used the Liapunov method to determine the stability of their parallel-channel system against pressure-drop type oscillations. Zhang et al [29] developed an explicit criterion for density-wave instability by using the Liapunov method.…”
Section: Dynamical System Analysismentioning
confidence: 99%
“…Rizwan-uddin and Doming [26,27] conducted non-linear numerical simulations of density-wave oscillations. Ozawa et al [28] have used the Liapunov method to determine the stability of their parallel-channel system against pressure-drop type oscillations. Zhang et al [29] developed an explicit criterion for density-wave instability by using the Liapunov method.…”
Section: Dynamical System Analysismentioning
confidence: 99%
“…For N = 2, the condition becomes s 1 + s 2 > 0 (same as [20] where the condition was shown for A i = A). For N = 3, using the principal minor test for positive definiteness, the condition becomes, s 1 + s 2 > 0 and s 1 s 2 + s 2 s 3 + s 1 s 3 > 0.…”
Section: Stability Analysis Of Parallel Channels With Inlet Pressure mentioning
confidence: 99%
“…Experimental, analytical, and simulation studies have been reported to establish stability criteria [7,20,21,22,23,24] With the simplified parallelpipe flow analysis by [25], a control procedure was proposed in [8] to regulate the individual pipe flow rates with a desired pipe exit quality through a set of inlet control valves. To suppress the two-phase flow instability in microchannels, the methods of inlet control valve [8], inlet restrictors [26] and inlet seed bubble generators [27] were proposed.…”
Section: Introductionmentioning
confidence: 99%
“…[1][2][3][4][5][6][7][8][9][10][11] Considerable amount of work on flow in parallel pipes were performed for a boiling system where stability and flow-distribution were the main objective. [12][13][14][15] Note, however, that for boiling systems the splitting in the inlet manifold is when the fluid is in a single phase. Only after splitting into the parallel pipes, boiling and two-phase flow, takes place.…”
Section: Introductionmentioning
confidence: 99%