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Temperature distribution in the cross section of wavy and falling thin liquid films

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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.

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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

    Google Scholar 

  • 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

    Google Scholar 

  • Alekseenko SV, Nakoriakov VE, Pokusaev BG, Fukano T (1994) Wave flow of liquid films. Begell House, New York

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • Cellier N, Ruyer-Quil C (2020) A new family of reduced models for non-isothermal falling films. Int J Heat Mass Transf 154:119700

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • Chinnov EA, Shatskii EN (2010) Effect of thermocapillary perturbations on the wave motion in heated falling liquid film. Tech Phys Lett 36:53–56

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • Dietze GF, Kneer R (2011) Flow separation in falling liquid films. Front Heat Mass Transf 2:033001

    Google Scholar 

  • Dietze GF, Leefken A, Kneer R (2008) Investigation of the backflow phenomenon in falling liquid films. J Fluid Mech 595:435–459

    MATH  Google Scholar 

  • 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

    Article  MATH  Google Scholar 

  • 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

    Google Scholar 

  • Frank AM (2003) 3D numerical simulation of regular structure formation in a locally heated falling film. Eur J Mech B/Fluids 22:445–471

    MathSciNet  MATH  Google Scholar 

  • 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

    Google Scholar 

  • Gao D, Morley NB, Dhir V (2003) Numerical simulation of wavy falling film flow using VOF method. J Comput Phys 192:624–642

    MATH  Google Scholar 

  • 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

    MathSciNet  MATH  Google Scholar 

  • 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

    Google Scholar 

  • Kunugi T, Kino C (2005) DNS of falling film structure and heat transfer via MARS method. Comput Struct 83:455–462

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • Liu J, Paul JD, Gollub JP (1993) Measurements of the primary instabilities of film flows. J Fluid Mech 250:69–101

    Google Scholar 

  • Malamataris NA, Vlachogiannis M, Bontozoglou V (2002) Solitary waves on inclined films: flow structure and binary interactions. Phys Fluids 14:1082–1094

    MathSciNet  MATH  Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • Rastaturin A, Demekhin E, Kalaidin E (2006) Optimal regimes of heat-mass transfer in a falling film. J Non-Equilibrium Thermodyn 31:1–10

    MATH  Google Scholar 

  • Roberts RM, Chang H-C (2000) Wave-enhanced interfacial transfer. Chem Eng Sci 55:1127–1141

    Google Scholar 

  • 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

    MathSciNet  Google Scholar 

  • Ruyer-Quil C, Manneville P (2000) Improved modeling of flows down inclined planes. Eur Phys J B 15:357–369

    MATH  Google Scholar 

  • Sakakibara J, Adrian RJ (1999) Whole field measurement of temperature in water using two-color laser induced fluorescence. Exp Fluids 26:7–15

    Google Scholar 

  • 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

    Google Scholar 

  • Sakakibara J, Hishida K, Maeda M (1993) Measurements of thermally stratified pipe flow using image-processing techniques. Exp Fluids 16:82–96

    Google Scholar 

  • 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

    Google Scholar 

  • Scheid B, Ruyer-Quil C, Manneville P (2006) Wave patterns in film flows: modelling and three-dimensional waves. J Fluid Mech 562:183

    MathSciNet  MATH  Google Scholar 

  • Seban RA, Faghri A (1978) Wave effects on the transport to falling laminar liquid films. J Heat Transfer 100:143–147

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • Yih CS (1963) Stability of liquid flow down an inclined plane. Phys Fluids 6:321–334

    MATH  Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • Zhou G, Prosperetti A (2020) A numerical study of mass transfer from laminar liquid films. J Fluid Mech 902:1–35

    MathSciNet  MATH  Google Scholar 

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Acknowledgements

The authors acknowledge support by the FRAISE project, grant ANR-16-CE06-0011 of the French National Research Agency (ANR).

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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

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