Abstract
Wave instabilities of falling liquid films are crucial in many applications to enhance heat and mass transfer. Despite the importance of this issue, the interplay between the heat transfer and the wavy dynamics of falling films is still not completely understood. To get more insight, a planar laser-induced fluorescence technique has been developed for imaging the temperature distribution in the cross section of thin liquid films (approximately 0.5–1 mm thick), which are falling down an inclined heated surface. This study reports on the implementation of this imaging technique. It also discusses its advantages and limitations for the investigation of the heat transfer in the falling liquid films. Two-dimensional flow conditions and regular waves are considered for the reconstruction of a complete temperature field in the waves. Measurements provide new understanding of the wave ability to generate mixing within the film. Temperature maps reveal preferential regions where mixing occurs first, before eventually spreading to the rest of the film if the wave amplitude and the travel distance are large enough. The increase in the heat transfer coefficient is directly related to the internal mixing observed in the temperature images.
Graphic abstract
Similar content being viewed by others
References
Åkesjö A, Gourdon M, Vamling L et al (2019) Modified surfaces to enhance vertical falling film heat transfer—an experimental and numerical study. Int J Heat Mass Transf 131:237–251
Albert C, Marschall H, Bothe D (2014) Direct numerical simulation of interfacial mass transfer into falling films. Int J Heat Mass Transf 69:343–357
Alekseenko SV, Nakoriakov VE, Pokusaev BG, Fukano T (1994) Wave flow of liquid films. Begell House, New York
Al-Sibai F, Leefken A, Renz U (2002) Local and instantaneous distribution of heat transfer rates through wavy films. Int J Therm Sci 41:658–663
Bruchhausen M, Guillard F, Lemoine F (2005) Instantaneous measurement of two-dimensional temperature distributions by means of two-color planar laser induced fluorescence (PLIF). Exp Fluids 38:123–131
Castanet G, Chaze W, Caballina O et al (2018) Transient evolution of the heat transfer and the vapor film thickness at the drop impact in the regime of film boiling. Phys Fluids 30:122109
Cellier N, Ruyer-Quil C (2020) A new family of reduced models for non-isothermal falling films. Int J Heat Mass Transf 154:119700
Charogiannis A, Markides CN (2019) Spatiotemporally resolved heat transfer measurements in falling liquid-films by simultaneous application of planar laser-induced fluorescence (PLIF), particle tracking velocimetry (PTV) and infrared (IR) thermography. Exp Therm Fluid Sci 107:169–191
Charogiannis A, An JS, Markides CN (2015) A simultaneous planar laser-induced fluorescence, particle image velocimetry and particle tracking velocimetry technique for the investigation of thin liquid-film flows. Exp Therm Fluid Sci 68:516–536
Charogiannis A, Zadrazil I, Markides CN (2016) Thermographic particle velocimetry (TPV) for simultaneous interfacial temperature and velocity measurements. Int J Heat Mass Transf 97:589–595
Charogiannis A, Denner F, Van Wachem BGM et al (2017) Detailed hydrodynamic characterization of harmonically excited falling-film flows: a combined experimental and computational study. Phys Rev Fluids 2:1–37
Chaze W, Caballina O, Castanet G, Lemoine F (2016) The saturation of the fluorescence and its consequences for laser-induced fluorescence thermometry in liquid flows. Exp Fluids 57:1–18
Chaze W, Caballina O, Castanet G, Lemoine F (2017) Spatially and temporally resolved measurements of the temperature inside droplets impinging on a hot solid surface. Exp Fluids 58:1–16
Chinnov EA, Shatskii EN (2010) Effect of thermocapillary perturbations on the wave motion in heated falling liquid film. Tech Phys Lett 36:53–56
Chinnov EA, Shatskii EN, Kabov OA (2012) Evolution of the temperature field at the three-dimensional wave front in a heated liquid film. High Temp 50:98–105
Coolen MCJ, Kieft RN, Rindt CCM, van Steenhoven AA (1999) Application of 2-D LIF temperature measurements in water using a Nd : YAG laser. Exp Fluids 27:420–426
Dietze GF, Kneer R (2011) Flow separation in falling liquid films. Front Heat Mass Transf 2:033001
Dietze GF, Leefken A, Kneer R (2008) Investigation of the backflow phenomenon in falling liquid films. J Fluid Mech 595:435–459
Dietze GF, Al-Sibai F, Kneer R (2009) Experimental study of flow separation in laminar falling liquid films. J Fluid Mech. https://doi.org/10.1017/S0022112009008155
Dunand P, Castanet G, Lemoine F (2012) A two-color planar LIF technique to map the temperature of droplets impinging onto a heated wall. Exp Fluids 52:843–856
Frank AM (2003) 3D numerical simulation of regular structure formation in a locally heated falling film. Eur J Mech B/Fluids 22:445–471
Frisk DP, Davis EJ (1972) The enhancement of heat transfer by waves in stratified gas-liquid flow. Int J Heat Mass Transf 15:1537–1552
Gao D, Morley NB, Dhir V (2003) Numerical simulation of wavy falling film flow using VOF method. J Comput Phys 192:624–642
Kapitza PL, Kapitza SP (1965) Wave flow of thin layers of a viscous fluid. In: Collected Papers of P.L. Kapitza. pp 662–708, 708a, 708b, 708c, 708d, 709
Kofman N, Mergui S, Ruyer-Quil C (2017) Characteristics of solitary waves on a falling liquid film sheared by a turbulent counter-current gas flow. Int J Multiph Flow 95:22–34
Kosseifi N, Biwole PH, Mathis C et al (2013) Application of two-color LIF thermometry to nucleate boiling. J Mater Sci Eng B 3:281–290
Kunugi T, Kino C (2005) DNS of falling film structure and heat transfer via MARS method. Comput Struct 83:455–462
Kunugi T, Kino C, Serizawa A (2005) Surface Wave Structure and Heat Transfer of Vertical Liquid Film Flow with Artificial Oscillation. In: 5th International Symposium on Multiphase Flow, Heat Mass Transfer and Energy Conversion. XiŠan
Lel VV, Al-Sibai F, Leefken A, Renz U (2005) Local thickness and wave velocity measurement of wavy films with a chromatic confocal imaging method and a fluorescence intensity technique. Exp Fluids 39:856–864
Lel VV, Kellermann A, Dietze G et al (2008) Investigations of the Marangoni effect on the regular structures in heated wavy liquid films. Exp Fluids 44:341–354
Lemoine F, Castanet G (2013) Temperature and chemical composition of droplets by optical measurement techniques: a state-of-the-art review. Exp Fluids 54:1572
Lemoine F, Antoine Y, Wolff M, Lebouche M (1999) Simultaneous temperature and 2D velocity measurements in a turbulent heated jet using combined laser-induced fluorescence and LDA. Exp Fluids 26:315–323
Liu J, Paul JD, Gollub JP (1993) Measurements of the primary instabilities of film flows. J Fluid Mech 250:69–101
Malamataris NA, Vlachogiannis M, Bontozoglou V (2002) Solitary waves on inclined films: flow structure and binary interactions. Phys Fluids 14:1082–1094
Markides CN, Mathie R, Charogiannis A (2016) An experimental study of spatiotemporally resolved heat transfer in thin liquid-film flows falling over an inclined heated foil. Int J Heat Mass Transf 93:872–888
Mathie R, Markides CN (2013) Heat transfer augmentation in unsteady conjugate thermal systems—Part I: semi-analytical 1-D framework. Int J Heat Mass Transf 56:802–818
Mathie R, Nakamura H, Markides CN (2013) Heat transfer augmentation in unsteady conjugate thermal systems—Part II: applications. Int J Heat Mass Transf 56:819–833
Miyara A (2000) Numerical simulation of wavy liquid film flowing down on a vertical wall and an inclined wall. Int J Therm Sci 39:1015–1027
Nakajima T, Utsunomiya M, Ikeda Y (1991) Simultaneous Measurement of Velocity and Temperature of Water Using LDV and Fluorescence Technique BT - Applications of Laser Techniques to Fluid Mechanics. In: Adrian RJ, Durão DFG, Durst F et al (eds) Springer. Berlin Heidelberg, Berlin, Heidelberg, pp 34–53
Nosoko T, Yoshimura PN, Nagata T, Oyakawa K (1996) Characteristics of two-dimensional waves on a falling liquid film. Chem Eng Sci 51:725–732
Rastaturin A, Demekhin E, Kalaidin E (2006) Optimal regimes of heat-mass transfer in a falling film. J Non-Equilibrium Thermodyn 31:1–10
Roberts RM, Chang H-C (2000) Wave-enhanced interfacial transfer. Chem Eng Sci 55:1127–1141
Rohlfs W, Scheid B (2015) Phase diagram for the onset of circulating waves and flow reversal in inclined falling films. J Fluid Mech 763:322–351
Ruyer-Quil C, Manneville P (2000) Improved modeling of flows down inclined planes. Eur Phys J B 15:357–369
Sakakibara J, Adrian RJ (1999) Whole field measurement of temperature in water using two-color laser induced fluorescence. Exp Fluids 26:7–15
Sakakibara J, Adrian RJ (2004) Measurement of temperature field of a Rayleigh-Bénard convection using two-color laser-induced fluorescence. Exp Fluids 37:331–340
Sakakibara J, Hishida K, Maeda M (1993) Measurements of thermally stratified pipe flow using image-processing techniques. Exp Fluids 16:82–96
Schagen A, Modigell M (2007) Local film thickness and temperature distribution measurement in wavy liquid films with a laser-induced luminescence technique. Exp Fluids 43:209–221
Scheid B, Ruyer-Quil C, Manneville P (2006) Wave patterns in film flows: modelling and three-dimensional waves. J Fluid Mech 562:183
Seban RA, Faghri A (1978) Wave effects on the transport to falling laminar liquid films. J Heat Transfer 100:143–147
Tihon J, Serifi K, Argyriadi K, Bontozoglou V (2006) Solitary waves on inclined films: their characteristics and the effects on wall shear stress. Exp Fluids 41:79–89
Xue T, Zhang S (2018) Investigation on heat transfer characteristics of falling liquid film by planar laser-induced fluorescence. Int J Heat Mass Transf 126:715–724
Yih CS (1963) Stability of liquid flow down an inclined plane. Phys Fluids 6:321–334
Yoshimura PN, Nosoko T, Nagata T (1996) Enhancement of mass transfer into a falling laminar liquid film by two-dimensional surface waves—Some experimental observations and modeling. Chem Eng Sci 51:1231–1240
Yu H, Gambaryan-Roisman T, Stephan P (2013) Numerical simulations of hydrodynamics and heat transfer in wavy falling liquid films on vertical and inclined walls. J Heat Transfer 135:101010
Zhang F, Zhao X, Geng J et al (2007) A new insight into Marangoni effect in non-isothermal falling liquid films. Exp Therm Fluid Sci 31:361–365
Zhou G, Prosperetti A (2020) A numerical study of mass transfer from laminar liquid films. J Fluid Mech 902:1–35
Acknowledgements
The authors acknowledge support by the FRAISE project, grant ANR-16-CE06-0011 of the French National Research Agency (ANR).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Collignon, R., Caballina, O., Lemoine, F. et al. Temperature distribution in the cross section of wavy and falling thin liquid films. Exp Fluids 62, 115 (2021). https://doi.org/10.1007/s00348-021-03175-x
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00348-021-03175-x