0
Research Papers: SPECIAL SECTION PAPERS

Enhancement of Thermocapillary Effect in Heated Liquid Films for Large Waves at High Reynolds Numbers

[+] Author and Article Information
E. A. Chinnov

S.S. Kutateladze Institute of Thermophysics,
Novosibirsk State University,
Novosibirsk 630090, Russia
e-mail: chinnov@itp.nsc.ru

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 21, 2014; final manuscript received September 30, 2015; published online June 1, 2016. Assoc. Editor: Dennis A. Siginer.

J. Heat Transfer 138(9), 091005 (Jun 01, 2016) (8 pages) Paper No: HT-14-1553; doi: 10.1115/1.4032945 History: Received August 21, 2014; Revised September 30, 2015

The characteristics of the heated water film flowing down a vertical plate at Re = 150, 300, and 500 were studied. The fluorescence method was used for measuring the film thickness. The temperature field on the film surface was measured by an infrared scanner. The analysis of the temperature pulsations on the heated film surface was made. The high-frequency component of temperature pulsations faded at the bottom area of the heater. Part of the temperature perturbations (small waves) was removed from interrivulets regions (valleys) to the rivulets by transverse thermocapillary forces. At high heat flux, only largest waves with maximum ripple of temperature reached the lower edge of the heater. There is a decrease in the mean integral energy fluctuations of temperature in the interrivulets regions near the heater lower edge. In the heated regions between rivulets, the relative amplitude of large waves increases with decreasing average thickness (or local Reynolds number). The analysis of results obtained for large Reynolds numbers showed that the relative amplitudes of large waves in the regions between rivulets at high heat fluxes are much greater than those for small Reynolds numbers and in isothermal falling films. In the interrivulet zone, Marangoni number increases with a rise of the heat flux. The growth of relative amplitude of low-frequency waves in interrivulets regions helps prevent film rupture and crisis of heat transfer.

FIGURES IN THIS ARTICLE
<>
Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Gimbutis, G. , 1988, Heat Exchange in Gravity Driven Liquid Film Flows, Mokslas, Vilnius, Lithuania, p. 233.
Kandlikar, S. G. , Shoji, M. , and Dhir, V. K. , 1999, Hand Book of Phase Change: Boiling and Condensation, Taylor & Francis, London, p. 738
Kabov, O. A. , 1996, “ Heat Transfer From a Small Heater to a Falling Liquid Film,” Heat Transfer Res., 27(1), pp. 221–226.
Kabov, O. A. , and Chinnov, E. A. , 1997, “ Heat Transfer From a Local Heart Source to Subcooled Falling Liquid Film Evaporating in a Vapor–Gas Medium,” Russ. J. Eng. Thermophys., 7(1/2), pp. 1–34.
Chinnov, E. A. , and Kabov, O. A. , 2003, “ Jet Formation in Gravitational Flow of a Heated Wavy Liquid Film,” J. Appl. Mech. Tech. Phys., 44(5), pp. 708–715. [CrossRef]
Chinnov, E. A. , 2012, “ The Interaction of Thermocapillary Perturbations With 3D Waves in a Heated Falling Liquid Film,” Tech. Phys. Lett., 38(8), pp. 711–714. [CrossRef]
Chinnov, E. A. , Nazarov, A. D. , Kabov, O. A. , and Serov, A. F. , 2004, “ Measurement of Wave Characteristics of a Non-Isothermal Liquid Film by Capacitance Method,” Thermophys. Aeromech., 11(3), pp. 429–435.
Chinnov, E. A. , Nazarov, A. D. , Saprikina, A. V. , Zhukovskaya, O. V. , and Serov, A. F. , 2007, “ The Wave Characteristics of a Nonisothermal Film of Liquid Under Conditions of Jets Forming on Its Surface,” High Temp., 45(5), pp. 657–664. [CrossRef]
Chinnov, E. A. , and Kabov, O. A. , 2007, “ Marangoni Effect on Wave Structure in Liquid Films,” Microgravity Sci. Technol., 19(3/4), pp.18–22. [CrossRef]
Chinnov, E. A. , and Sharina, I. A. , 2008, “ The Influence of the Plate Inclination Angle on Rivulet Formation and Breakdown of Non-Isothermal Liquid Film,” Thermophys. Aeromech., 15(1), pp. 121–132. [CrossRef]
Chinnov, E. A. , 2008, “ Thermocapillary Effects in a Heated Falling Liquid Film at High Reynolds Numbers,” Tech. Phys. Lett., 34(10), pp. 828–831. [CrossRef]
Chinnov, E. A. , 2014, “ Wave – Thermocapillary Effects in Heated Liquid Films at High Reynolds Numbers,” Int. J. Heat Mass Transfer, 71(4), pp. 106–116. [CrossRef]
Scheid, B. , Kalliadasis, S. , Ruyer-Quil, C. , and Colinet, P. , 2008, “ Spontaneous Channeling of Solitary Pulses in Heated Film Flows,” Europhys. Lett., 84(6), p. 64002. [CrossRef]
Zaitsev, D. V. , Chinnov, E. A. , Kabov, O. A. , and Marchuk, I. V. , 2004, “ Experimental Study of the Wave Flow of a Liquid Film on a Heated Surface,” Tech. Phys. Lett., 30(3), pp. 231–233. [CrossRef]
Joo, S. W. , and Davis, S. H. , 1992, “ Instabilities of Three-Dimensional Viscous Falling Films,” J. Fluid Mech., 242(9), pp. 529–547. [CrossRef]
Liu, J. , Schneider, J. B. , and Golub, J. P. , 1995, “ Three-Dimensional Instabilities of Film Flows,” Phys. Fluids, 7(1), pp. 55–67. [CrossRef]
Drosos, E. I. P. , Paras, S. V. , and Karabelas, A. J. , 2004, “ Characteristics of Developing Free Falling Films at Intermediate Reynolds and High Kapitza Numbers,” Int. J. Multiphase Flow, 30(7-8), pp. 853–876. [CrossRef]
Park, C. D. , and Nosoko, T. , 2003, “ Three-Dimensional Wave Dynamics on a Falling Film and Associated Mass Transfer,” AIChE J., 49(11), pp. 2715–2727. [CrossRef]
Chinnov, E. A. , 2009, “ The Effect of Wave Characteristics on Rivulet Formation in Heated Liquid Films,” Thermophys. Aeromech., 16(1), pp. 69–76.
Alekseenko, S. V. , Guzanov, V. V. , Markovich, D. M. , and Kharlamov, S. M. , 2012, “ Specific Features of a Transition From the Regular Two-Dimensional to Three-Dimensional Waves on Falling Liquid Films,” Tech. Phys. Lett., 38(8), pp. 739–742. [CrossRef]
Lel, V. V. , Stadler, H. , Pavlenko, A. N. , and Kneer, R. , 2007, “ Evolution of Metastable Quasi Regular Structures in Heated Wavy Liquid Films,” Heat Mass Transfer, 43(11), pp. 1121–1132. [CrossRef]
Lel, V. V. , Kellerman, A. , Dietze, G. , Kneer, R. , and Pavlenko, A. N. , 2008, “ Investigations of the Marangoni Effect on the Regular Structures in Heated Wavy Liquid Films,” Exp. Fluids, 44(2), pp. 341–354. [CrossRef]
Pavlenko, A. N. , Lel, V. V. , Serov, A. F. , and Nazarov, A. D. , 2001, “ Flow Dynamics of Intensively Evaporating Liquid Wavy Films,” ASME J. Appl. Mech. Tech. Phys., 42(3), pp. 107–115.
Pavlenko, A. N. , Lel, V. V. , Serov, A. F. , Nazarov, A. D. , and Matsekh, A. D. , 2002, “ The Growth of Wave Amplitude and Heat Transfer in Falling Intensively Evaporating Liquid Films,” J. Eng. Thermophys., 11(1), pp. 7–43.
Chinnov, E. A. , 2011, “ Thermal Entry Length in Falling Liquid Film,” Tech. Phys. Lett., 37(8), pp. 776–779. [CrossRef]
Chinnov, E. A. , and Abdurakipov, S. S. , 2013, “ Thermal Entry Length in Falling Liquid Films at High Reynolds Numbers,” Int. J. Heat Mass Transfer, 56(2), pp. 775–786. [CrossRef]
Alekseenko, S. V. , Antipin, V. A. , Guzanov, V. V. , Kharlamov, S. M. , and Markovich, D. M. , 2005, “ Three-Dimensional Solitary Waves on Falling Liquid Film at Low Reynolds Numbers,” Phys. Fluids, 17(12), p. 121704. [CrossRef]
Chinnov, E. A. , Kharlamov, S. M. , Nazarov, A. D. , Sokolov, E. E. , Markovich, D. M. , Serov, A. F. , and Kabov, O. A. , 2008, “ Integrated Measurement of the Wave Characteristics of Heated Film of Liquid by the Capacitance and Fluorescence Methods,” High Temp., 46(5), pp. 647–653. [CrossRef]
Alekseenko, S. V. , Nakoryakov, V. E. , and Pokusaev, B. G. , 1994, Wave Flow of Liquid Films, Begell House, New York, p. 256.

Figures

Grahic Jump Location
Fig. 1

Temperature distributions on the surface of the heated falling film: (a) the 3D instantaneous at q = 0.1 W/cm2 and Re = 0.1 (the arrow indicates the flow direction) and (b) temperature and temperature gradient distributions along line 1

Grahic Jump Location
Fig. 2

The averaged thickness distribution at Re = 300 and q = 2.2 W/cm2: (1) rivulets and (2) interrivulets area (valley) between the rivulets

Grahic Jump Location
Fig. 3

The scheme of the experimental setup: (1) film-former, (2) plate, (3) temperature stabilizer, (4) liquid film, (5) heater, (6) liquid collector, (7) laser, (8) camera, (9) filter, and (10) IR scanner

Grahic Jump Location
Fig. 4

Temperature of the heater surface: (1) q = 0.57 W/cm2, (2) q = 1.34 W/cm2, (3) q = 2.2 W/cm2, (4) q = 3.5 W/cm2, (5) q = 4.9 W/cm2, and (6) q = 6.0 W/cm2

Grahic Jump Location
Fig. 5

Distributions of thickness in a heated flowing film at Re = 300: (a) instantaneous 3D, q = 3.7 W/cm2, (b) along the heater, q = 1.8 W/cm2, and (c) along the heater, q = 5.5 W/cm2. (1) Thickness distribution in a rivulet, (2) thickness distribution in a valley, (3) averaged thickness in a rivulet, and (4) averaged thickness in a valley.

Grahic Jump Location
Fig. 6

Temperature distributions on the surface of the heated falling film: (a) the 3D instantaneous at Re = 500 and q = 2.05 W/cm2 (the arrow indicates the flow direction) and (b) time dependence in the point of valley X = 75 mm between rivulets at Re = 300 and q = 1.5 W/cm2

Grahic Jump Location
Fig. 7

Evolution of temperature pulsations and shear stresses in the interrivulets area near the lower edge of the heater, X = 100 mm, Re = 500, and q = 1.3 W/cm2. The arrows indicate the flow direction. The solid lines show the temperature isolines, indicating the approximate border of the area between the rivulets.

Grahic Jump Location
Fig. 8

The density of spectral energy of temperature pulsations depending on frequency in the center of the interrivulet area at different distances from the upper edge of the heater: (1) X = 50 mm, (2) X = 75 mm, and (3) X = 100 mm

Grahic Jump Location
Fig. 9

Integral energy of temperature pulsations per unit of time, averaged by all rivulets and interrivulet areas, depending on X: (a) Re = 150 and q = 2.5 W/cm2, (b) Re = 500 and q = 1.3 W/cm2, (c) Re = 500 and q = 2.9 W/cm2, and (d) Re = 500 and q = 8.6 W/cm2. Triangles (1) indicate data for the interrivulet areas and circles (2) for rivulets.

Grahic Jump Location
Fig. 10

Plot of the maximum relative amplitude Amax versus Reloc/Kaloc1/11: (1) valleys (Re = 38 and Xp = 344 mm) [7], (2) data from Refs. [1] and [19] at the adiabatic conditions, (3) isothermal film (Xp = 360 mm) [17], (4) rivulets (Re = 38 and Xp = 344 mm) [7], (5) valleys (Re = 33 and Xp = 264 mm) [7], (6) rivulets (Re = 33 and Xp = 264 mm) [7], (7) valleys (Re = 300 and Xp = 360 mm), and (8) rivulets (Re = 300 and Xp = 360 mm)

Grahic Jump Location
Fig. 11

The dependence of the modified Marangoni number on the dimensionless heat flux for the valley between rivulets: (1) Re = 300 valley between rivulets, (2) Re = 300 rivulet, (3) Re = 22 valley between rivulets [9], and (4) Re = 22 rivulet [9]. The solid line marked the averaged data for the valley between rivulets at Re = 300.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In