Yu. Ya. Trifonov, “Viscous film flow down corrugated surfaces”, Prikl. Mekh. Tekh. Fiz., 45:3 (2004), 97–110; J. Appl. Mech. Tech. Phys., 45:3 (2004), 389

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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 3, Pages 97–110 (Mi pmtf2383)

This article is cited in 23 scientific papers (total in 23 papers)

Viscous film flow down corrugated surfaces

Yu. Ya. Trifonov

Kutateladze Institute of Thermophysics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Full-text PDF (333 kB) Citations (23)

Abstract: A theoretical analysis of a downward viscous film flow on corrugated surfaces is reported. The study is based on Navier–Stokes equations (for one- and two-dimensional surfaces) and on an integral model (for a three-dimensional surface with double corrugation). The calculations were carried out in a wide range of Reynolds numbers and geometric characteristics of the surface with due allowance for the surface-tension force. The shape of the free surface of the liquid film and other characteristics of the flow are calculated. It is shown that, in the case of a one-dimensional surface, there exists a range of parameters where the flow is predominantly governed by surface-tension forces; this flow can be adequately treated with the integral approach. In this range of parameters, on the surface with double corrugation, the average quantities of the downward flow in wide corrugation valleys are determined by the fine-texture geometry.

Keywords: viscous film flow, corrugated surfaces.

Received: 31.03.2003
Accepted: 30.06.2003

English version:
Journal of Applied Mechanics and Technical Physics, 2004, Volume 45, Issue 3, Pages 389–400
DOI: https://doi.org/10.1023/B:JAMT.0000025021.41499.e1

Bibliographic databases:

Document Type: Article

UDC: 532.51

Language: Russian

Citation: Yu. Ya. Trifonov, “Viscous film flow down corrugated surfaces”, Prikl. Mekh. Tekh. Fiz., 45:3 (2004), 97–110; J. Appl. Mech. Tech. Phys., 45:3 (2004), 389–400

Citation in format AMSBIB

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\jour J. Appl. Mech. Tech. Phys.

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Linking options:

https://www.mathnet.ru/eng/pmtf2383

https://www.mathnet.ru/eng/pmtf/v45/i3/p97

This publication is cited in the following 23 articles:

S.J.D. D'Alessio, “Depth-integrated models for three-dimensional flow over topography”, Flow, 4 (2024)
S.J.D. D'Alessio, “A new IBL model for quasi-unidirectional gravity-driven flow over topography”, European Journal of Mechanics - B/Fluids, 102 (2023), 18
B. V. Perepelitsa, “Effect of random factors on liquid flow over the sheets of a structured packing”, Thermophys. Aeromech., 30:3 (2023), 499
Yu. Ya. Trifonov, “Flow of liquid films over a single element of structured packing. Comparison of microtextures of various types”, Thermophys. Aeromech., 26:6 (2019), 869
Shichang Chen, Jianping Ma, Xianming Zhang, Wenxing Chen, “Numerical simulation of the behavior of high‐viscosity fluids falling film flow down the vertical wavy wall”, Asia-Pacific J Chem Eng, 12:1 (2017), 97
Vladimir S. Ajaev, Elizaveta Ya. Gatapova, Oleg A. Kabov, “Stability and break-up of thin liquid films on patterned and structured surfaces”, Advances in Colloid and Interface Science, 228 (2016), 92
Yuri Trifonov, “Stability of a film flowing down an inclined corrugated plate: The direct Navier-Stokes computations and Floquet theory”, Physics of Fluids, 26:11 (2014)
D. Tseluiko, M. G. Blyth, D. T. Papageorgiou, “Stability of film flow over inclined topography based on a long-wave nonlinear model”, J. Fluid Mech., 729 (2013), 638
I. Mohammed Rizwan Sadiq, Tatiana Gambaryan-Roisman, Peter Stephan, “Falling liquid films on longitudinal grooved geometries: Integral boundary layer approach”, Physics of Fluids, 24:1 (2012)
H.-C. Chang, E. A. Demekhin, V. S. Shelistov, “Competition between Dukhin's and Rubinstein's electrokinetic modes”, Phys. Rev. E, 86:4 (2012)
S. Veremieiev, H.M. Thompson, M. Scholle, Y.C. Lee, P.H. Gaskell, “Electrified thin film flow at finite Reynolds number on planar substrates featuring topography”, International Journal of Multiphase Flow, 44 (2012), 48
C. Heining, T. Pollak, N. Aksel, “Pattern formation and mixing in three-dimensional film flow”, Physics of Fluids, 24:4 (2012)
Yu.Ya. Trifonov, “Counter-current gas-liquid flow between vertical corrugated plates”, Chemical Engineering Science, 66:20 (2011), 4851
B. V. Perepelitsa, “About the effect of microtexture on liquid film formation on a vertical surface”, Thermophys. Aeromech., 18:3 (2011), 501
Martin Kohrt, Ilja Ausner, Günter Wozny, Jens-Uwe Repke, “Texture influence on liquid-side mass transfer”, Chemical Engineering Research and Design, 89:8 (2011), 1405
Jens‐Uwe Repke, Martin Kohrt, Günter Wozny, “Investigation of Multiphase Flows on Inclined Plates as Potential Design Tool for Separation Devices”, Chemie Ingenieur Technik, 83:7 (2011), 1107
Tatiana Gambaryan-Roisman, Hongyi Yu, Karsten Löffler, Peter Stephan, “Long-Wave and Integral Boundary Layer Analysis of Falling Film Flow on Walls With Three-Dimensional Periodic Structures”, Heat Transfer Engineering, 32:7-8 (2011), 705
T. Häcker, H. Uecker, “An integral boundary layer equation for film flow over inclined wavy bottoms”, Physics of Fluids, 21:9 (2009)
S. V. Alekseenko, D. M. Markovich, A. R. Evseev, A. V. Bobylev, B. V. Tarasov, V. M. Karsten, “Experimental investigation of liquid distribution over structured packing”, AIChE Journal, 54:6 (2008), 1424
Alexander Oron, Christian Heining, “Weighted-residual integral boundary-layer model for the nonlinear dynamics of thin liquid films falling on an undulating vertical wall”, Physics of Fluids, 20:8 (2008)

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