We present droplet growth dynamics on homogeneous and patterned surfaces (surface with hydrophilic and hydrophobic region) using two-dimensional thermal lattice Boltzmann method (LBM). In the first part, we performed 2D simulations on homogeneous hydrophobic surfaces. The result shows that the droplet grows at higher rate on a surface with higher wettability which is attributed to low conduction resistance and high solid–liquid contact area. In the later part, we performed simulations on patterned surface and observed that droplet preferentially nucleates on the hydrophilic region due to lower energy barrier and grows in constant contact line (CCL) mode because of contact line pinning at the interface of hydrophilic–hydrophobic region. As the contact angle reaches the maximum value of hydrophobic surface, contact line depins and droplet shows constant contact angle (CCA) growth mode. We also discuss the effect of characteristic width of hydrophilic region on growth of droplet. We show that contact angle of the droplet increases rapidly and reaches the contact angle of hydrophobic region on a surface with a lower width of the hydrophilic surface.
Issue Section:
Micro/Nanoscale Heat Transfer
References
1.
Beér
, J. M.
, 2007
, “High Efficiency Electric Power Generation: The Environmental Role
,” Prog. Energy Combust. Sci.
, 33
(2
), pp. 107
–134
.2.
Lee
, A.
, Moon
, M.-W.
, Lim
, H.
, Kim
, W.-D.
, and Kim
, H.-Y.
, 2012
, “Water Harvest Via Dewing
,” Langmuir
, 28
(27
), pp. 10183
–10191
.3.
Khawaji
, A. D.
, Kutubkhanah
, I. K.
, and Wie
, J.-M.
, 2008
, “Advances in Seawater Desalination Technologies
,” Desalination
, 221
(1–3
), pp. 47
–69
.4.
Kim
, M.
, and Corradini
, M.
, 1990
, “Modeling of Condensation Heat Transfer in a Reactor Containment
,” Nucl. Eng. Des.
, 118
(2
), pp. 193
–212
.5.
Singh
, M.
, Kondaraju
, S.
, and Bahga
, S. S.
, 2017
, “Enhancement of Thermal Performance of Micro Heat Pipes Using Wettability Gradients
,” Int. J. Heat Mass Transfer
, 104
, pp. 400
–408
.6.
Carey
, V. P.
, 2007
, Liquid–Vapor Phase-Change Phenomena: An Introduction to the Thermophysics of Vaporization and Condensation Process in Heat Transfer Equipment
, Taylor & Francis
, New York.7.
Graham
, C.
, and Griffith
, P.
, 1973
, “Drop Size Distributions and Heat Transfer in Dropwise Condensation
,” Int. J. Heat Mass Transfer
, 16
(2
), pp. 337
–346
.8.
Leach
, R.
, Stevens
, F.
, Langford
, S.
, and Dickinson
, J.
, 2006
, “Dropwise Condensation: Experiments and Simulations of Nucleation and Growth of Water Drops in a Cooling System
,” Langmuir
, 22
(21
), pp. 8864
–8872
.9.
Rykaczewski
, K.
, 2012
, “Microdroplet Growth Mechanism During Water Condensation on Superhydrophobic Surfaces
,” Langmuir
, 28
(20
), pp. 7720
–7729
.10.
Varanasi
, K. K.
, Hsu
, M.
, Bhate
, N.
, Yang
, W.
, and Deng
, T.
, 2009
, “Spatial Control in the Heterogeneous Nucleation of Water
,” Appl. Phys. Lett.
, 95
(9
), p. 094101
.11.
Hou
, Y.
, Yu
, M.
, Chen
, X.
, Wang
, Z.
, and Yao
, S.
, 2015
, “Recurrent Filmwise and Dropwise Condensation on a Beetle Mimetic Surface
,” ACS Nano
, 9
(1
), pp. 71
–81
.12.
Da Riva
, E.
, and Del Col
, D.
, 2012
, “Numerical Simulation of Laminar Liquid Film Condensation in a Horizontal Circular Minichannel
,” ASME J. Heat Transfer
, 134
(5
), p. 051019
.13.
Ganapathy
, H.
, Shooshtari
, A.
, Choo
, K.
, Dessiatoun
, S.
, Alshehhi
, M.
, and Ohadi
, M.
, 2013
, “Volume of Fluid-Based Numerical Modeling of Condensation Heat Transfer and Fluid Flow Characteristics in Microchannels
,” Int. J. Heat Mass Transfer
, 65
, pp. 62
–72
.14.
Chen
, S.
, Yang
, Z.
, Duan
, Y.
, Chen
, Y.
, and Wu
, D.
, 2014
, “Simulation of Condensation Flow in a Rectangular Microchannel
,” Chem. Eng. Process.: Process Intensif.
, 76
, pp. 60
–69
.15.
Son
, G.
, 2010
, “A Level-Set Method for Analysis of Microdroplet Evaporation on a Heated Surface
,” J. Mech. Sci. Technol.
, 24
(4
), pp. 991
–997
.16.
Budaraju
, A.
, Phirani
, J.
, Kondaraju
, S.
, and Bahga
, S. S.
, 2016
, “Capillary Displacement of Viscous Liquids in Geometries With Axial Variations
,” Langmuir
, 32
(41
), pp. 10513
–10521
.17.
Yagub
, A.
, Farhat
, H.
, Kondaraju
, S.
, and Singh
, T.
, 2015
, “A Lattice Boltzmann Model for Substrates With Regularly Structured Surface Roughness
,” J. Comput. Phys.
, 301
, pp. 402
–414
.18.
Farhat
, H.
, Kondaraju
, S.
, Na
, S.-K.
, and Lee
, J. S.
, 2013
, “Effect of Hydrodynamic and Fluid-Solid Interaction Forces on the Shape and Stability of a Droplet Sedimenting on a Horizontal Wall
,” Phys. Rev. E
, 88
, p. 013013
.19.
Li
, Q.
, Luo
, K.
, Kang
, Q.
, He
, Y.
, Chen
, Q.
, and Liu
, Q.
, 2016
, “Lattice Boltzmann Methods for Multiphase Flow and Phase-Change Heat Transfer
,” Prog. Energy Combust. Sci.
, 52
, pp. 62
–105
.20.
Shan
, X.
, and Chen
, H.
, 1993
, “Lattice Boltzmann Model for Simulating Flows With Multiple Phases and Components
,” Phys. Rev. E
, 47
(3
), pp. 1815
–1819
.21.
Shan
, X.
, and Chen
, H.
, 1994
, “Simulation of Nonideal Gases and Liquid-Gas Phase Transitions by the Lattice Boltzmann Equation
,” Phys. Rev. E
, 49
(4
), pp. 2941
–2948
.22.
Yuan
, P.
, and Schaefer
, L.
, 2006
, “Equations of State in a Lattice Boltzmann Model
,” Phys. Fluids (1994-Present)
, 18
(4
), p. 042101
.23.
Gong
, S.
, and Cheng
, P.
, 2012
, “A Lattice Boltzmann Method for Simulation of Liquid-Vapor Phase-Change Heat Transfer
,” Int. J. Heat Mass Transfer
, 55
(17–18
), pp. 4923
–4927
.24.
Liu
, X.
, and Cheng
, P.
, 2013
, “Lattice Boltzmann Simulation of Steady Laminar Film Condensation on a Vertical Hydrophilic Subcooled Flat Plate
,” Int. J. Heat Mass Transfer
, 62
, pp. 507
–514
.25.
Liu
, X.
, and Cheng
, P.
, 2013
, “Lattice Boltzmann Simulation for Dropwise Condensation of Vapor Along Vertical Hydrophobic Flat Plates
,” Int. J. Heat Mass Transfer
, 64
, pp. 1041
–1052
.26.
Ashrafi
, A.
, and Moosavi
, A.
, 2016
, “Droplet Condensation on Chemically Homogeneous and Heterogeneous Surfaces
,” J. Appl. Phys.
, 120
(12
), p. 124901
.27.
Li
, Q.
, Kang
, Q.
, Francois
, M.
, He
, Y.
, and Luo
, K.
, 2015
, “Lattice Boltzmann Modeling of Boiling Heat Transfer: The Boiling Curve and the Effects of Wettability
,” Int. J. Heat Mass Transfer
, 85
, pp. 787
–796
.28.
Bhatnagar
, P. L.
, Gross
, E. P.
, and Krook
, M.
, 1954
, “A Model for Collision Processes in Gases. I. small Amplitude Processes in Charged and Neutral One-Component Systems
,” Phys. Rev.
, 94
(3
), pp. 511
–525
.29.
Qian
, Y. H.
, D'Humières
, D.
, and Lallemand
, P.
, 1992
, “Lattice BGK Models for Navier–Stokes Equation
,” EPL (Europhys. Lett.)
, 17
(6
), p. 479
.30.
Kupershtokh
, A.
, Medvedev
, D.
, and Karpov
, D.
, 2009
, “On Equations of State in a Lattice Boltzmann Method
,” Comput. Math. Appl.
, 58
(5
), pp. 965
–974
.31.
Jain
, P. K.
, Tentner
, A.
, and Uddin
, R.
, 2009
, “A Lattice Boltzmann Framework to Simulate Boiling Water Reactor Core Hydrodynamics
,” Comput. Math. Appl.
, 58
(5
), pp. 975
–986
.32.
Sukope
, M. C.
, and Thorne
, D. T.
, 2006
, Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers
, Springer-Verlag
, Berlin
.33.
Angelopoulos
, A. D.
, Paunov
, V. N.
, Burganos
, V. N.
, and Payatakes
, A. C.
, 1998
, “Lattice Boltzmann Simulation of Nonideal Vapor-Liquid Flow in Porous Media
,” Phys. Rev. E
, 57
(3
), pp. 3237
–3245
.34.
Briant
, A. J.
, Wagner
, A. J.
, and Yeomans
, J. M.
, 2004
, “Lattice Boltzmann Simulations of Contact Line Motion—I: Liquid-Gas Systems
,” Phys. Rev. E
, 69
(3 Pt. 1
), p. 031602
.35.
Mohamad
, A. A.
, 2011
, Lattice Boltzmann Method: Fundamentals and Engineering Applications With Computer Codes
, Springer-Verlag
, London
.36.
Narhe
, R. D.
, and Beysens
, D. A.
, 2004
, “Nucleation and Growth on a Superhydrophobic Grooved Surface
,” Phys. Rev. Lett.
, 93
(7
), p. 076103
.37.
Narhe
, R. D.
, and Beysens
, D. A.
, 2007
, “Growth Dynamics of Water Drops on a Square-Pattern Rough Hydrophobic Surface
,” Langmuir
, 23
(12
), pp. 6486
–6489
.38.
Beysens
, D.
, 2006
, “Dew Nucleation and Growth
,” C. R. Phys.
, 7
(9–10
), pp. 1082
–1100
.39.
Kelton
, K.
, and Greer
, A.
, 2010
, Nucleation in Condensed Matter: Applications in Materials and Biology
, Elsevier
, Oxford, UK.40.
Xu
, W.
, Lan
, Z.
, Peng
, B. L.
, Wen
, R. F.
, and Ma
, X. H.
, 2015
, “Effect of Surface Free Energies on the Heterogeneous Nucleation of Water Droplet: A Molecular Dynamics Simulation Approach
,” J. Chem. Phys.
, 142
(5
), p. 054701
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