Steady‐state traveling waves on the surface of a viscous liquid film falling down on vertical wires and tubes

Trifonov, Yu. Ya.

doi:10.1002/aic.690380604

Cited by 63 publications

(59 citation statements)

References 16 publications

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“…Unlike these studies (Frenkel 1992;Trifonov 1992;Lister et al 2006;Sisoev et al 2006;Ruyer-Quil et al 2008;Shkadov et al 2008;Ruyer-Quil & Kalliadasis 2012), in which the film thickness were assumed to be much smaller than the cylinder radius, Kliakhandler, Davis & Bankhoff (2001) considered a relatively thicker liquid film down a thin vertical fibre. Three typical flow regimes (regimes 'a', 'b' and 'c') were observed by Kliakhandler et al (2001) in experiments (see figure 1 in Kliakhandler et al's paper).…”

Section: Introductionmentioning

confidence: 99%

“…Trifonov (1992) applied the bifurcation theory and investigated different kinds of wave families in such a flow system. Sisoev et al (2006) revisited the linear and nonlinear stability of the problem (Trifonov 1992) via the integral boundary-layer model. Direct simulation of the integral boundary-layer model was performed so as to simulate the evolution of interfacial waves from the upstream to downstream (Sisoev et al 2006).…”

Section: Introductionmentioning

confidence: 99%

“…The two-equation model was developed to address the drawback of the Benney-type model. Trifonov (1992) employed an integral boundary-layer model and investigated steady travelling waves in the annular viscous liquid film flow. Trifonov (1992) applied the bifurcation theory and investigated different kinds of wave families in such a flow system.…”

Section: Introductionmentioning

confidence: 99%

“…Trifonov (1992) employed an integral boundary-layer model and investigated steady travelling waves in the annular viscous liquid film flow. Trifonov (1992) applied the bifurcation theory and investigated different kinds of wave families in such a flow system. Sisoev et al (2006) revisited the linear and nonlinear stability of the problem (Trifonov 1992) via the integral boundary-layer model.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of liquid films on vertical fibres in a radial electric field

et al. 2014

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The long-wave behaviour of perfectly conducting liquid films flowing down a vertical fibre in a radial electric field was investigated by an asymptotic model. The validity of the asymptotic model was verified by the fully linearized problem, which showed that results were in good agreement in the long-wave region. The linear stability analysis indicated that, when the ratio (the radius of the outer cylindrical electrode over the radius of the liquid film) β < e, the electric field enhanced the long-wave instability; when β > e, the electric field impeded the long-wave instability; when β = e, the electric field did not affect the long-wave instability. The nonlinear evolution study of the asymptotic model compared well with the linear theory when β < e. However, when β = e, the nonlinear evolution study showed that the electric field enhanced the instability which may cause the interface to become singular. When β > e, the nonlinear evolution studies showed that the influence of the electric field on the nonlinear behaviour of the interface was complex. The electric field either enhanced or impeded the interfacial instability. In addition, an interesting phenomenon was observed by the nonlinear evolution study that the electric field may cause an oscillation in the amplitude of permanent waves when β e. Further study on steady travelling waves was conducted to reveal the influence of electric field on the wave speed. Results showed that the electric field either increased or decreased the wave speed as well as the wave amplitude and flow rate. In some situations, the wave speed may increase/decrease while its amplitude decreased/increased as the strength of the external electric field increased.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dynamics of liquid films on vertical fibres in a radial electric field

et al. 2014

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“…1). Der Einfluss der Oberflächenspan-nung auf die Fluiddynamik wird u. a. von [7] in einem Modell für dünne Drähte und Rohre beschrieben. Es wird gezeigt, dass eine zunehmende Oberflächenspannung bei ausreichend kleinem Durchmesser des Drahts eine Zunahme der Schwankungen der Filmdicke bewirkt.…”

Section: Filmdickeunclassified

Fluiddynamik eines Flüssigkeitsfilms an einem vertikalen Draht

Grünig¹,

Kraume²,

Shilkin³

2007

Chemie Ingenieur Technik

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The velocity field characteristics of high‐viscosity fluids falling film flow down clamped channels

Wang

Chen

et al. 2023

Can J Chem Eng

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The complexity of falling film flow has been studied in many industrial applications. In this work, the velocity field of high-viscosity fluids falling film flow down clamped channels was investigated numerically and experimentally.The results show that the numerical simulation results are consistent with the experimental results, and the characteristics of the velocity field are related to the fluid properties, operating conditions, and structure of the clamped channels. When the fluid viscosity is greater than or equal to 10 Pa Á s, the type of velocity field changes into I shape, U shape, and V shape. While the fluid viscosity drops to 0.89 Pa Á s, the viscous force cannot resist the inertial force and gravity, resulting in a cardioid velocity field. By adjusting the structure of the clamped channels and operating conditions, the tension of the liquid film can be changed, and the velocity distribution of the liquid film can be manipulated.Significantly, under the fluctuating curtain flow, the liquid film coalesces and breaks frequently, which enlarges the surface area of the liquid film and strengthens the surface renewal frequency. Hence, this form of falling film flow can be applied to process intensification of high-viscosity materials.clamped channels, falling film flow, high-viscosity fluids, velocity field | INTRODUCTIONAs an energy-efficient process for intensifying heat and mass transfer, falling film flows have been widely used in chemical engineering, [1] refrigeration, [2] and seawater desalination. [3] Various flow patterns of falling film flows based on fluid properties, the geometric structure of the supporting wall, the working environment, and other factors have been described in the literature. Many reports found that the flow patterns of liquid film flow down vertical geometric structures could be categorized as drop-like flows, inertially driven flows, gravity-driven flows, solitary wave-like flows, and disturbance flows. [4][5][6][7] Liquid viscosities can vary from low (0.001$1 Pa Á s), [8,9] such as water, glycerin, and aqueous lithium bromide solution, to high (thousands of times higher than the viscosity of low-viscosity fluids), [10][11][12] such as silicone oil, syrup, and melt polymer. The hydrodynamic mechanism of the falling film is strongly dependent on fluid viscosity. The falling film flow of low-viscosity liquid quickly evolves into wave flow driven by inertial force and gravity, [13] while the primary flow pattern of highviscosity fluid is peristaltic laminar flow due to the sizeable viscous resistance. Additionally, specific operating conditions may cause irregular fluctuations in falling film Abbreviations: CFD, computational fluid dynamics; LDA, laser doppler analysis; VOF, volume of fluids.

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Steady‐state traveling waves on the surface of a viscous liquid film falling down on vertical wires and tubes

Cited by 63 publications

References 16 publications

Dynamics of liquid films on vertical fibres in a radial electric field

Dynamics of liquid films on vertical fibres in a radial electric field

Fluiddynamik eines Flüssigkeitsfilms an einem vertikalen Draht

The velocity field characteristics of high‐viscosity fluids falling film flow down clamped channels

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