A theoretical model for gas–liquid slug flow in down inclined ducts

Dyment, A.; Boudlal, Abdelaziz

doi:10.1016/j.ijmultiphaseflow.2004.02.002

Cited by 14 publications

(4 citation statements)

References 16 publications

(23 reference statements)

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“…If λ 1 (gas-liquid flow system [14]), and the upper fluid moves between the successive plugs with the wave velocity D, we can neglect the gas friction at the wall and at the interface. This results in the following relations for periodic travelling waves (m + ≡ 0, β = 0, γ = 0):…”

Section: The Function G(a) Takes the Formmentioning

confidence: 99%

Roll waves and plugs in two-layer flows

Boudlal¹

2008

Eur. J. Appl. Math

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In this paper I consider a system of equations describing two stratified fluids flowing in closed, slightly inclined ducts. In the framework of the shallow water approximation with turbulent friction acting on the wall and at the interface, I investigate a special class of periodic travelling waves containing stable moving jumps, namely, roll waves and periodic slug flows. The modulation equations of roll waves and slugs are derived and a nonlinear stability criterion is obtained. As for plug flow, only a gas-liquid system is considered. The stability criterion is expressed in terms of an integro-differential relation. For self-similar cross-section, this criterion is simplified to a relation for a function of one variable only.

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Section: The Function G(a) Takes the Formmentioning

confidence: 99%

Roll waves and plugs in two-layer flows

Boudlal¹

2008

Eur. J. Appl. Math

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“…A theoretical model of these flows has been recently worked out. 5 Both the roll waves and slugs exhibit a periodic structure of running cells terminated by jumps, respectively, free and choked. The flow in the liquid layer is governed by Eq.…”

Section: Examplesmentioning

confidence: 99%

Stability of stationary and moving hydraulic jumps in inclined conduits of arbitrary cross section

Dyment¹

2005

Physics of Fluids

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“…При этом в рамках нелинейной гиперболической системы уравнений катящиеся волны представляют собой периодические разрывные решения, стационарные в некоторой движущейся системе координат (бегущие волны). Уравнения мелкой воды применимы также для описания катящихся волн в наклонных каналах произвольного сечения [3,4].…”

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Roll Waves in Channels with an Active Gas Phase

2015

PMTF

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Построена математическая модель течения тонкого слоя тяжелой жидкости под упругой оболочкой, заполненной газом. За счет массообмена с окружающей средой газовая фаза является активной и поддерживает самоорганизующееся волновое движение в слое жидкости. Найдены условия, при которых малые возмущения трансформируются в квазипериодические волновые пакеты конечной амплитуды, движущиеся в одном направлении. Показано, что структура этих волн аналогична структуре катящихся волн в открытых каналах. Ключевые слова: катящиеся волны, гиперболические уравнения, разрывные решения, устойчивость волновых пакетов.

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A theoretical model for gas–liquid slug flow in down inclined ducts

Cited by 14 publications

References 16 publications

Roll waves and plugs in two-layer flows

Roll waves and plugs in two-layer flows

Stability of stationary and moving hydraulic jumps in inclined conduits of arbitrary cross section

Roll Waves in Channels with an Active Gas Phase

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