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Investigation of the phenomena occurring near the liquid–vapor interface during evaporation of water at low pressures
Phys. Rev. Fluids 3, 124001 – Published 12 December, 2018
DOI: https://doi.org/10.1103/PhysRevFluids.3.124001
Abstract
The evaporation of water in a rectangular microchannel at low pressures was studied experimentally and numerically to demonstrate the interplay between the heat transfer and fluid dynamics during evaporation of the liquid at low pressures. The three-dimensional flow below the interface was quantified using scanning particle image velocimetry. Temperatures in the fluids on the centerline in both phases as well as the liquid temperatures along the interface were measured with a fine thermocouple. A numerical simulation, which accounted for the transport of mass, momentum, and energy in the fluids as well as those at the interface, was developed and validated with the measured experimental data. Once good agreement between the model and the experimentally obtained parameters was achieved, the model was used to examine some aspects of the evaporation phenomenon which could not be understood from the experiments alone. An important result from this work has shown that a buoyancy driven flow in the liquid water competes with a thermocapillary flow at the interface and does not allow the thermocapillary flow to spread over the interface. This is suggested to be a possible answer to the the question of why a thermocapillary flow in water, in contrast to many other liquids, does not always exist.
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References (80)
- J. L. Plawsky, M. Ojha, A. Chatterjee, and P. C. Wayner, Review of the effects of surface topography, surface chemistry, and fluid physics on evaporation at the contact line, Chem. Eng. Commun. 196, 658 (2008).
- F. M. Richter, Timescales determining the degree of kinetic isotope fractionation by evaporation and condensation, Geochim. Cosmochim. Acta 68, 4971 (2004).
- K. Sefiane, On the formation of regular patterns from drying droplets and their potential use for bio-medical applications, J. Bionic Eng. 7, S82 (2010).
- S. Jasechko, Z. D. Sharp, J. J. Gibson, S. J. Birks, Y. Yi, and P. J. Fawcett, Terrestrial water fluxes dominated by transpiration, Nature 496, 347 (2013).
- O. T. Denmead, F. X. Dunin, R. Leuning, and M. R. Raupach, Measuring and modelling soil evaporation in wheat crops, Phys. Chem. Earth 21, 97 (1996).
- A. Faghri, Review and advances in heat pipe science and technology, J. Heat Transfer 134, 123001 (2012).
- T. Lim, S. Han, J. Chung, J. T. Chung, S. Ko, and C. P. Grigoropoulos, Experimental study on spreading and evaporation of inkjet printed picoliter droplet on a heated substrate, Int. J. Heat Mass Transf. 52, 431 (2009).
- T. K. Sau and C. J. Murphy, Self-assembly patterns formed upon solvent evaporation of aqueous cetyltrimethylammonium bromide-coated gold nanoparticles of various shapes, Langmuir 21, 2923 (2005).
- G. Xue, Y. Xu, T. Ding, J. Li, J. Yin, W. Fei, Y. Cao, J. Yu, L. Yuan, L. Gong, J. Chen, S. Deng, J. Zhou, and W. Guo, Water-evaporation-induced electricity with nanostructured carbon materials, Nat. Nanotechnol. 12, 317 (2017).
- X. Chen, D. Goodnight, Z. Gao, A. H. Cavusoglu, N. Sabharwal, M. DeLay, A. Driks, and O. Sahin, Scaling up nanoscale water-driven energy conversion into evaporation-driven engines and generators, Nat. Commun. 6, 7346 (2015).
- A.-M. Cazabat and G. Guéna, Evaporation of macroscopic sessile droplets, Soft Matter 6, 2591 (2010).
- H. Hu and R. G. Larson, Evaporation of a sessile droplet on a substrate, J. Phys. Chem. B 106, 1334 (2002).
- K. Sefiane and R. Bennacer, An expression for droplet evaporation incorporating thermal effects, J. Fluid Mech. 667, 260 (2011).
- H. Hu and R. G. Larson, Analysis of the effects of Marangoni stresses on the microflow in an evaporating sessile droplet, Langmuir 21, 3972 (2005).
- H. Hu and R. G. Larson, Analysis of the microfluid flow in an evaporating sessile droplet, Langmuir 21, 3963 (2005).
- R. D. Deegan, O. Bakajin, T. F. Dupont, G. Huber, S. R. Nagel, and T. A. Witten, Contact line deposits in an evaporating drop, Phys. Rev. E 62, 756 (2000).
- R. D. Deegan, O. Bakajin, T. F. Dupont, G. Huber, S. R. Nagel, and T. A. Witten, Capillary flow as the cause of ring stains from dried liquid drops, Nature 389, 827 (1997).
- A. A. Y. AlWaaly, M. C. Paul, and P. S. Dobson, Effects of thermocouple electrical insulation on the measurement of surface temperature, Appl. Therm. Eng. 89, 421 (2015).
- G. J. Dunn, S. K. Wilson, B. R. Duffy, S. David, and K. Sefiane, The strong influence of substrate conductivity on droplet evaporation, J. Fluid Mech. 623, 329 (2009).
- S. Chandra, M. di Marzo, Y. M. Qiao, and P. Tartarini, Effect of liquid-solid contact angle on droplet evaporation, Fire Saf. J. 27, 141 (1996).
- E. L. Talbot, A. Berson, P. S. Brown, and C. D. Bain, Evaporation of picoliter droplets on surfaces with a range of wettabilities and thermal conductivities, Phys. Rev. E 85, 061604 (2012).
- B. Sobac and D. Brutin, Thermal effects of the substrate on water droplet evaporation, Phys. Rev. E 86, 021602 (2012).
- D. Hu, H. Wu, and Z. Liu, Effect of liquid–vapor interface area on the evaporation rate of small sessile droplets, Int. J. Therm. Sci. 84, 300 (2014).
- Y. Fukatani, D. Orejon, Y. Kita, Y. Takata, J. Kim, and K. Sefiane, Effect of ambient temperature and relative humidity on interfacial temperature during early stages of drop evaporation, Phys. Rev. E 93, 043103 (2016).
- P. J. Sáenz, A. W. Wray, Z. Che, O. K. Matar, P. Valluri, J. Kim, and K. Sefiane, Dynamics and universal scaling law in geometrically-controlled sessile drop evaporation, Nat. Commun. 8, 14783 (2017).
- J. R. Vélez-Cordero, B. Yáñez Soto, and J. L. Arauz-Lara, Transport of colloids along corners: Visualization of evaporation-induced flows beyond the axisymmetric condition, Langmuir 32, 8171 (2016).
- R. Marek and J. Straub, Analysis of the evaporation coefficient and the condensation coefficient of water, Int. J. Heat Mass Transf. 44, 39 (2001).
- G. Fang and C. A. Ward, Examination of the statistical rate theory expression for liquid evaporation rates, Phys. Rev. E 59, 441 (1999).
- C. A. Ward and G. Fang, Expression for predicting liquid evaporation flux: Statistical rate theory approach, Phys. Rev. E 59, 429 (1999).
- A. H. Persad and C. A. Ward, Expressions for the evaporation and condensation coefficients in the Hertz-Knudsen relation, Chem. Rev. 116, 7727 (2016).
- G. Fang and C. A. Ward, Temperature measured close to the interface of an evaporating liquid, Phys. Rev. E 59, 417 (1999).
- M. Bond and H. Struchtrup, Mean evaporation and condensation coefficients based on energy dependent condensation probability, Phys. Rev. E 70, 061605 (2004).
- V. K. Badam, V. Kumar, F. Durst, and K. Danov, Experimental and theoretical investigations on interfacial temperature jumps during evaporation, Exp. Therm. Fluid Sci. 32, 276 (2007).
- V. K. Badam, Experimental and theoretical investigation of the evaporation of fluids from free surfaces, Ph.D. thesis, University of Erlangen-Nuremberg, 2007.
- E. Y. Gatapova, I. A. Graur, O. A. Kabov, V. M. Aniskin, M. A. Filipenko, F. Sharipov, and L. Tadrist, The temperature jump at water-air interface during evaporation, Int. J. Heat Mass Transf. 104, 800 (2017).
- M. A. Kazemi, D. S. Nobes, and J. A. W. Elliott, Effect of the thermocouple on measuring the temperature discontinuity at a liquid–vapor interface, Langmuir 33, 7169 (2017).
- F. Duan, V. K. Badam, F. Durst, and C. A. Ward, Thermocapillary transport of energy during water evaporation, Phys. Rev. E 72, 056303 (2005).
- C. A. Ward and F. Duan, Turbulent transition of thermocapillary flow induced by water evaporation, Phys. Rev. E 69, 056308 (2004).
- H. Ghasemi and C. A. Ward, Energy Transport by Thermocapillary Convection During Sessile-Water-Droplet Evaporation, Phys. Rev. Lett. 105, 136102 (2010).
- I. Thompson, F. Duan, and C. A. Ward, Absence of Marangoni convection at Marangoni numbers above 27 000 during water evaporation, Phys. Rev. E 80, 056308 (2009).
- C. Sodtke, V. S. Ajaev, and P. Stephan, Dynamics of volatile liquid droplets on heated surfaces: Theory versus experiment, J. Fluid Mech. 610, 343 (2008).
- X. Song and D. S. Nobes, Experimental investigation of evaporation-induced convection in water using laser based measurement techniques, Exp. Therm. Fluid Sci. 35, 910 (2011).
- M. A. Kazemi, D. S. Nobes, and J. A. W. Elliott, Experimental and numerical study of the evaporation of water at low pressures, Langmuir 33, 4578 (2017).
- F. Duan and C. A. Ward, Surface-thermal capacity of from measurements made during steady-state evaporation, Phys. Rev. E 72, 056304 (2005).
- F. Duan and C. A. Ward, Surface excess properties from energy transport measurements during water evaporation, Phys. Rev. E 72, 056302 (2005).
- A. H. Persad and C. A. Ward, Statistical rate theory examination of ethanol evaporation, J. Phys. Chem. B 114, 6107 (2010).
- C. A. Ward and D. Stanga, Interfacial conditions during evaporation or condensation of water, Phys. Rev. E 64, 051509 (2001).
- M. A. Kazemi, J. A. W. Elliott, and D. S. Nobes, A 3D flow visualization in evaporation of water from a meniscus at low pressures, in Proceedings of the 10th Pacific Symposium on Flow Visualization and Image Processing, Naples, Italy (2015).
- M. A. Kazemi, J. A. W. Elliott, and D. S. Nobes, Determination of the three components of velocity in an evaporating liquid from scanning PIV, in Proceedings of the 18th International Symposium on the Application of Laser and Imaging Techniques to Fluid Mechanics, Lisbon, Portugal (2016).
- X. Song, Experimental investigation on evaporation induced convection in water using laser based measurement techniques, MSc. thesis, University of Alberta, 2010.
- C. Brücker, Digital-Particle-Image-Velocimetry (DPIV) in a scanning light-sheet: 3D starting flow around a short cylinder, Exp. Fluids 19, 255 (1995).
- M. A. Kazemi, Experimental and numerical study on evaporation of water at low pressures, Ph.D. thesis, University of Alberta, 2017.
- D. N. Gerasimov and E. I. Yurin, Kinetics of Evaporation (Springer International Publishing, Cham, 2018).
- J. P. Caputa and H. Struchtrup, Interface model for non-equilibrium evaporation, Phys. A Stat. Mech. Appl. 390, 31 (2011).
- M. A. Kazemi, J. A. W. Elliott, and D. S. Nobes, The influence of container geometry and thermal conductivity on evaporation of water at low pressures, Sci. Rep. 8, 15121 (2018).
- COMSOL Multiphysics, COMSOL Multiphysics® v. 5.2a (AB, Stockholm, Sweden, 2016).
- J. Kestin, M. Sokolov, and W. A. Wakeham, Viscosity of liquid water in the range −8 °C to 150 °C, J. Phys. Chem. Ref. Data 7, 941 (1978).
- G. S. Kell, Density, thermal expansivity, and compressibility of liquid water from 0 °C to 150 °C. Correlations and tables for atmospheric pressure and saturation reviewed and expressed on 1968 temperature scale, J. Chem. Eng. Data 20, 97 (1975).
- V. Vinš, M. Fransen, J. Hykl, and J. Hrubý, Surface tension of supercooled water determined by using a counterpressure capillary rise method, J. Phys. Chem. B 119, 5567 (2015).
- O. Benchikh, D. Fournier, A. C. Boccara, and J. Teixeira, Photothermal measurement of the thermal conductivity of supercooled water, J. Phys. 46, 727 (1985).
- F. Duan, I. Thompson, and C. A. Ward, Statistical rate theory determination of water properties below the triple point, J. Phys. Chem. B 112, 8605 (2008).
- D. G. Archer and R. W. Carter, Thermodynamic properties of the system. 4. Heat capacities of and NaCl(aq) in cold-stable and supercooled states, J. Phys. Chem. B 104, 8563 (2000).
- W. Wagner and A. Pruß, The IAPWS formulation 1995 for the thermodynamic properties of ordinary water substance for general and scientific use, J. Phys. Chem. Ref. Data 31, 387 (2002).
- W. M. Rohsenow, J. P. Hartnett, and Y. I. Cho, Handbook of heat transfer, Handbook of Heat Transfer (McGraw-Hill, New York, 1998).
- K. H. Kang, H. C. Lim, H. W. Lee, and S. J. Lee, Evaporation-induced saline Rayleigh convection inside a colloidal droplet, Phys. Fluids 25, 042001 (2013).
- T.-C. Wu, Y.-M. Yang, and J.-R. Maa, Surfactant-induced retardation of the thermocapillary flow at a gas/liquid interface, Int. Commun. Heat Mass Transf. 27, 655 (2000).
- A. P. Kotula and S. L. Anna, Probing timescales for colloidal particle adsorption using slug bubbles in rectangular microchannels, Soft Matter 8, 10759 (2012).
- T. N. Hunter, R. J. Pugh, G. V. Franks, and G. J. Jameson, The role of particles in stabilizing foams and emulsions, Adv. Colloid Interface Sci. 137, 57 (2008).
- D. A. Kozhevnikov and M. A. Sheremet, Natural convection with evaporation in a vertical cylindrical cavity under the effect of temperature-dependent surface tension, Contin. Mech. Thermodyn. 30, 83 (2018).
- A. Babaie, S. Madadkhani, and B. Stoeber, Evaporation-driven low Reynolds number vortices in a cavity, Phys. Fluids 26, 033102 (2014).
- T. Qin, Z. Tuković, and R. O. Grigoriev, Buoyancy-thermocapillary convection of volatile fluids under atmospheric conditions, Int. J. Heat Mass Transf. 75, 284 (2014).
- Y. Li and M. Yoda, Convection driven by a horizontal temperature gradient in a confined aqueous surfactant solution: the effect of noncondensables, Exp. Fluids 55, 1663 (2014).
- A. Vali, D. S. Nobes, and L. W. Kostiuk, Transport phenomena within the liquid phase of a laboratory-scale circular methanol pool fire, Combust. Flame 161, 1076 (2014).
- H. Hu and R. G. Larson, Marangoni effect reverses coffee-ring depositions, J. Phys. Chem. B 110, 7090 (2006).
- X. Xu and J. Luo, Marangoni flow in an evaporating water droplet, Appl. Phys. Lett. 91, 124102 (2007).
- S. Popov, A. Melling, F. Durst, and C. A. Ward, Apparatus for investigation of evaporation at free liquid–vapor interfaces, Int. J. Heat Mass Transf. 48, 2299 (2005).
- F. Duan, C. A. Ward, V. K. Badam, and F. Durst, Role of molecular phonons and interfacial-temperature discontinuities in water evaporation, Phys. Rev. E 78, 041130 (2008).
- J. R. A. Pearson, On convection cells induced by surface tension, J. Fluid Mech. 4, 489 (1958).
- W. Zhang, R. Shen, K. Lu, A. Ji, and Z. Cao, Nanoparticle enhanced evaporation of liquids: A case study of silicone oil and water, AIP Adv. 2, 042119 (2012).
- H. Wang, Z. Pan, and S. V Garimella, Numerical investigation of heat and mass transfer from an evaporating meniscus in a heated open groove, Int. J. Heat Mass Transf. 54, 3015 (2011).