Instability of stratified two-phase flows in inclined rectangular ducts

Gelfgat, Alexander; Barmak, Ilya; Brauner, Neima

doi:10.1016/j.ijmultiphaseflow.2021.103586

Cited by 6 publications

(3 citation statements)

References 39 publications

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“…The Chebyshev collocation method is the same as that presented in [33], and the finite difference method applies central differences on an arbitrary stretched grid. The holdups and pressure drops are calculated using the superposition principle and the secant method as described in [34,35].…”

Section: Numerical Calculationsmentioning

confidence: 99%

“…It is emphasized that, for example, the numerical study of stability of these flows is preferably conducted by using the Chebyshev collocation method, as demonstrated in [32,33]. At the same time, consideration of two-phase flows in bounded rectangular ducts or circular pipes (see [34,35]) will require lower-order methods. In these cases, the present results on convergence of the finite difference method will help estimate the computational resources required.…”

Section: Numerical Calculationsmentioning

confidence: 99%

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Hartmann Flow of Two-Layered Fluids in Horizontal and Inclined Channels

Parfenov,

Gelfgat,

Ullmann

et al. 2024

Fluids

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The effect of a transverse magnetic field on two-phase stratified flow in horizontal and inclined channels is studied. The lower heavier phase is assumed to be an electrical conductor (e.g., liquid metal), while the upper lighter phase is fully dielectric (e.g., gas). The flow is defined by prescribed flow rates in each phase, so the unknown frictional pressure gradient and location of the interface separating the phases (holdup) are found as part of the whole solution. It is shown that the solution of such a two-phase Hartmann flow is determined by four dimensionless parameters: the phases’ viscosity and flow-rate ratios, the inclination parameter, and the Hartmann number. The changes in velocity profiles, holdups, and pressure gradients with variations in the magnetic field and the phases’ flow-rate ratio are reported. The potential lubrication effect of the gas layer and pumping power reduction are found to be limited to low magnetic field strength. The effect of the magnetic field strength on the possibility of obtaining countercurrent flow and multiple flow states in concurrent upward and downward flows, and the associated flow characteristics, such as velocity profiles, back-flow phenomena, and pressure gradient, are explored. It is shown that increasing the magnetic field strength reduces the flow-rate range for which multiple solutions are obtained in concurrent flows and the flow-rate range where countercurrent flow is feasible.

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Section: Numerical Calculationsmentioning

confidence: 99%

Section: Numerical Calculationsmentioning

confidence: 99%

Hartmann Flow of Two-Layered Fluids in Horizontal and Inclined Channels

Parfenov,

Gelfgat,

Ullmann

et al. 2024

Fluids

Self Cite

View full text Add to dashboard Cite

show abstract

“…The realistic cross-sectional geometry of a rectangular duct was used recently in stability studies of horizontal and inclined two-phase stratified flows [17,18]. A qualitative agreement of stability characteristics with the flows in the two-plate geometry (TP) was established.…”

Section: Introductionmentioning

confidence: 99%

A numerical framework for linear stability analysis of two-phase stratified pipe flows

Barmak

Gelfgat

Brauner

2023

Theor. Comput. Fluid Dyn.

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A numerical framework for rigorous linear stability analysis of two-phase stratified flows of two immiscible fluids in horizontal circular pipes is presented. For the first time, three-dimensional disturbances, including those at the interface between two fluids, are considered. The proposed numerical framework is based on a finite-volume method and allows solving the problem numerically in bipolar cylindrical coordinates. In these coordinates, both the pipe wall and the unperturbed interface (of a constant curvature, e.g., plane interface, as considered in this work) coincide with the coordinate surfaces. Thereby, the no-slip as well as the interfacial boundary conditions can be imposed easily. It also enables investigation of the local behavior of the flow field and shear stresses in the vicinity of the triple points, where the interface contacts the pipe wall. The results obtained in the bipolar coordinates are verified by an independent numerical solution based on the problem formulation in Cartesian coordinates, where the pipe wall is treated by the immersed boundary method. Two representative examples of gas-liquid and liquid-liquid flows are included to demonstrate the applicability of the proposed numerical technique for analyzing the flow stability.

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Prediction of the interfacial disturbance wave velocity in vertical upward gas-liquid annular flow via ensemble learning

Song

et al. 2022

Energy

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Instability of stratified two-phase flows in inclined rectangular ducts

Cited by 6 publications

References 39 publications

Hartmann Flow of Two-Layered Fluids in Horizontal and Inclined Channels

Hartmann Flow of Two-Layered Fluids in Horizontal and Inclined Channels

A numerical framework for linear stability analysis of two-phase stratified pipe flows

Prediction of the interfacial disturbance wave velocity in vertical upward gas-liquid annular flow via ensemble learning

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