Abstract
Numerical simulation is performed for droplet evaporation between two circular plates. The flow and thermal characteristics of the droplet evaporation are numerically investigated by solving the conservation equations of mass, momentum, energy and mass fraction in the liquid and gas phases. The liquid-gas interface is tracked by a sharp-interface level-set method which is modified to include the effects of evaporation at the liquid-gas interface and contact angle hysteresis at the liquid-gas-solid contact line. An analytical model to predict the droplet evaporation is also developed by simplifying the mass and vapor fraction equations in the gas phase. The numerical results demonstrate that the 1-D analytical prediction is not applicable to the high rate evaporation process. The effects of plate gap and receding contact angle on the droplet evaporation are also quantified.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
T. Kawase, T. Shimoda, C. Newsome, H. Sirringhaus and R. H. Friend, Inkjet printing of polymer thin film transistors, Thin Solid Films, 438 (2003) 279–287.
H. Koo, M. Chen and P. Pan, LCD-based color filter films fabricated by a pigment-based colorant photo resist inks and printing technology, Thin Solid Films, 515 (2006) 896–901.
J. Berthier, Microdrops and digital microfuidics, 1st Ed., William Andrew (2008).
A. F. Routh, Drying of thin colloidal films, Reports on Progress in Physics, 76 (2013) 046603.
R. G. Picknett and R. Bexon, The evaporation of sessile or pendant drops in still air, Interface J. of Colloid and Interface Science, 61 (1977) 336–350.
H. Y. Erbil, Evaporation of pure liquid sessile and spherical suspended drops: A review, Adv. Colloid Interface Sci., 170 (2012) 67–86.
F. Clément and J. Leng, Evaporation of liquids and solutions in confined geometry, Langmuir, 20 (2004) 6538–6541.
J. Leng, Drying of a colloidal suspension in confined geometry, Physical Review, 82 (2010) 021405.
L. Daubersies and J. B. Salmon, Evaporation of solutions and colloidal dispersion in confined droplets, Physical Review E, 84 (2011) 031406.
H. Hu and R. G. Larson, Analysis of the microfluid flow in an evaporating sessile droplet, Langmuir, 21 (2005) 3963–3971.
E. Widjaja and M. T. Harris, Numerical study of vapor phase-diffusion driven sessile drop evaporation, Computers & Chemical Engineering, 32 (2008) 2169–2178.
O. E. Ruiz and W. Z. Black, Evaporation of water droplets placed on a heated horizontal surface, J. of heat transfer, 124 (5) (2002) 854–863.
A. M. Briones, J. S. Ervin, S. A. Putnam, L. W. Byrd and L. Gschwender, Micrometer-sized water droplet impingement dynamics and evaporation on a flat dry surface, Langmuir, 26 (2010) 13272–13286.
S. Tanguy, T. Ménard and A. Berlemont, A level-set method for vaporizing two-phase flows, J. of Computational Physics, 211 (2007) 837–853.
G. Son, A level-set method for analysis of microdroplet evaporation on a heated surface, J. of Mechanical Science and Technology, 24 (2010) 991–997.
G. Son, Numerical simulation of microdroplet impact and evaporation on a solid surface, J. of Heat Transfer, 134 (2012) 101502.
G. Son and V. K. Dhir, A level set method for analysis of film boiling on an immersed solid surface, Numerical Heat Transfer, Part B: Fundamentals, 52 (2007) 153–177.
J. Fukai, Y. Shiiba, T. Yamamoto, O Miyatake, O. Poulikakos, C. M. Megaridis and Z. Zhao, Wetting effects on the spreading of a liquid droplet colliding with a flat surface: Experiment and modelling, Physics of Fluids, 7 (1995) 236–247.
T. F. Irvine and P. E. Liley, Steam and gas tables with computer equations, Academic Press (1984).
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Hyoung-gwon Choi
Hangjin Ban received a B.S. in Mechanical Engineering from Sogang University in 2014. He is a graduate student of Mechanical Engineering at Sogang University in Seoul, Korea. Ban’s research interests are in the area of microfluidics and multiphase dynamics.
Gihun Son received his B.S. and M.S. in Mechanical Engineering from Seoul National University in 1986 and 1988, respectively, and his Ph.D. in Mechanical Engineering from UCLA in 1996. Dr. Son is currently a professor of Mechanical Engineering at Sogang University in Seoul, Korea. His research interests are in the areas of multiphase dynamics, heat transfer, and power system simulation.
Rights and permissions
About this article
Cite this article
Ban, H., Son, G. Numerical simulation of droplet evaporation between two circular plates. J Mech Sci Technol 29, 2401–2407 (2015). https://doi.org/10.1007/s12206-015-0532-0
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-015-0532-0