Preview

Russian Technological Journal

Advanced search

Evaporation of a liquid sessile droplet subjected to forced convection

https://doi.org/10.32362/2500-316X-2021-9-5-57-66

Abstract

Experiments on measuring the rate of evaporation of liquid sessile droplets into air show that the rate of evaporation increases in the presence of forced convection flows. However, data on the effect of convection on evaporation are often contradictory and should be clarified. The paper presents a numerical analysis of evaporation from the surface of a water droplet subjected to forced convection in the gas phase. The drop is located on a smooth horizontal isothermal substrate; the mode with constant contact angle is considered. The shape of the drop has axial symmetry, the same for the velocities and pressure. Forced convection compatible with the symmetry conditions are represented by flows directed downward along the axis of the system and diverging along the sides near the drop and the substrate. The mathematical model is constructed for evaporation controlled by diffusion in the gas phase and takes into account surface tension, gravity, and viscosity in both media, buoyancy and Marangoni convection. The results indicate the existence of the mutual influence of liquid and gaseous media. Thus, a drop vibrates under the influence of movements in the atmosphere, which generates a density wave in the gas: the drop «sounds». The magnitude of the velocity in a liquid is 50 times less than the characteristic velocity in air. It is found that the evaporation rate does not change in the presence of forced convection flows, which contradicts most of the experimental works. The reason for the discrepancies is supposed to be the appearance of nonequilibrium conditions at the boundary of the condensed phase: under these conditions, the evaporation regime ceases to be diffusional.

About the Authors

A. Е. Korenchenko
MIREA – Russian Technological University
Russian Federation

Anna E. Korenchenko, Dr. Sci. (Phys.-Math.), Professor, Department of High Mathematics, Institute of Integrated Safety and Special Instrument Engineering

78, Vernadskogo pr.,  Moscow,  119454  

Scopus Author ID 10043443100



A. A. Zhukova
Sechenov First Moscow State Medical University
Russian Federation

Anna A. Zhukova, Cand. Sci. (Chem.), Associate Professor

21, 5 Parkovaya ul., Moscow, 105043

Scopus Author ID 12757009400



References

1. Borodulin V.Y., Letushko V.N., Nizovtsev M.I., Sterlyagov A.N. Determination of parameters of heat and mass transfer in evaporating drops.International Journal of Heat and Mass Transfer. 2017;109:609−618. https://doi.org/10.1016/j.ijheatmasstransfer.2017.02.042

2. Ljung A.-L., Lundström T.S. Evaporation of a sessile water droplet subjected to forced convection in humid environment. Drying Technology. 2019;37(1):129−138. https://doi.org/10.1080/07373937.2018.1441866

3. Kontorovich I.I. State of the art and development trends of technical decisions for intensifying evaporation from water surface. Nauchnyy zhurnal Rossiyskogo NII problem melioratsii = Scientific Journal of Russian Scientific Research Institute of Land Improvement Problems. 2016;1(21):241−256 (in Russ.).

4. Jeong S.W., Lee D.H. Drying performance of a dishwasher with internal air circulation. Korean Journal of Chemical Engineering. 2014;31(9):1518−1521. https://doi.org/10.1007/s11814-014-0194-0

5. Chen Y., Askounis A., Koutsos V., Valluri P., Takata Y., Wilson S.K., Sefiane K. On the effect of substrate viscoelasticity on the evaporation kinetics and deposition patterns of nanosuspension drops. Langmuir. 2020;36(1):204−213. https://doi.org/10.1021/acs.langmuir.9b02965

6. Hatte S., Pandey K., Pandey K., Chakraborty S., Basu S. Universal evaporation dynamics of ordered arrays of sessile droplets. Journal of Fluid Mechanics. 2019;866:61−81. https://doi.org/10.1017/jfm.2019.105

7. Tang R., Etzion Y. Comparative studies on the water evaporation rate from a wetted surface and that from a free water surface. Building and Environment. 2004;39(1):77−86. https://doi.org/10.1016/j.buildenv.2003.07.007

8. Jodat A., Moghiman M. An experimental assessment of the evaporation correlations for natural, forced and combined convection regimes. Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science. 2012;226(1):145−153. https://doi.org/10.1177/0954406211413961

9. Al-Shammiri M. Evaporation rate as a function of water salinity. Desalination. 2002;150(2):189−203. https://doi.org/10.1016/S0011-9164(02)00943-8

10. Vyatkin G.P., Korenchenko A.E., Izmailov Yu.G. Evaporation of liquids under conditions of free convection. Doklady Physics. 1998;43(11):700−702.

11. Dalton J. Experimental essays on the constitution mixed gases: on the force of steam or vapor from water and other liquids in different temperatures, both in a Torricelli vacuum and in air; on evaporation and on the expansion of gases by heat. Memoirs of the Literary and Philosophical Society of Manchester. 1802;5:536−602.

12. Boetler L.M.K., Gordon H.S., Griffin J.R. Free evaporation into air of water from a free horizontal quiet surface. Industrial and Engineering Chemistry. 1946;38(6):596−600. https://doi.org/10.1021/ie50438a018

13. Pauken M.T., Tang T.D., Jeter S.M., Abdel-Khalik S.I. Novel method for measuring water evaporation into still air. ASHRAE Transactions. 1993;99(1):297−300.

14. Guéna G., Poulard C., Voué M., De Coninck J., Cazabat A.M. Evaporation of sessile liquid droplets. Colloids and Surfaces A: Physicochemical and Engineering Aspects. 2006;291(1−3):191−196. https://doi.org/10.1016/j.colsurfa.2006.07.021

15. Kelly-Zion P.L., Pursell C.J., Vaidya S., Batra J. Evaporation of sessile drops under combined diffusion and natural convection. Colloids and Surfaces A: Physicochemical and Engineering Aspects. 2011;381(1−3):31−36. https://doi.org/10.1016/j.colsurfa.2011.03.020

16. Korenchenko A.E., Beskachko V.P. Oscillations of a sessile droplet in open air. Physics of Fluids. 2013;25(11):2106. https://doi.org/10.1063/1.4829025

17. Labuntsov D.A., Yagov V.V. Mekhanika dvukhfaznykh sistem (The Mechanics of Two-Phase Systems). Moscow: MEI; 2000. 374 p. (in Russ.). ISBN 978-5-383-00036-6

18. Guide to Meteorological Instruments and Methods of Observation. Geneva: World Meteorological Organization (WMO); 2008. 681 p. Available from URL: https://www.weather.gov/media/epz/mesonet/CWOP-WMO8.pdf

19. Belotserkovskii O.M. Chislennoe modelirovanie v mekhanike sploshnykh sred (Numerical modeling in mechanics of continuous medium). Moscow: Fizmatlit; 1994. 448 p. (in Russ.). ISBN 5-02-014986-1

20. Korenchenko A.E., Malkova J.P. Numerical investigation of phase relationships in an oscillating sessile drop. Physics of Fluids. 2015;27(10):2104−2111. https://doi.org/10.1063/1.4932650

21. Matveev A.N. Molekulyarnaya fizika (Molecular Physics). Moscow: Mir; 1985. 446 p. (in Russ.).

22. Bird R., Stewart W., Lightfoot E. Transport Phenomena. John Wiley & Sons, Inc.; 2002. 687 p.


Supplementary files

1. Scheme of the experiment
Subject
Type Исследовательские инструменты
View (35KB)    
Indexing metadata ▾

The paper presents a numerical analysis of evaporation from the surface of a water droplet subjected to forced convection in the gas phase. Forced convection compatible with the symmetry conditions are represented by flows directed downward along the axis of the system and diverging along the sides near the drop and the substrate. It is found that the evaporation rate does not change in the presence of forced convection flows, which contradicts most of the experimental works. The reason for the discrepancies is supposed to be the appearance of nonequilibrium conditions at the boundary of the condensed phase: under these conditions, the evaporation regime ceases to be diffusional.

Review

For citations:


Korenchenko A.Е., Zhukova A.A. Evaporation of a liquid sessile droplet subjected to forced convection. Russian Technological Journal. 2021;9(5):57-66. https://doi.org/10.32362/2500-316X-2021-9-5-57-66

Views: 576


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2782-3210 (Print)
ISSN 2500-316X (Online)