Microdroplet impact and evaporation on a solid surface, which is an integral part of an inkjet printing process, is studied numerically by solving the equations governing the conservation of mass, momentum, energy, and mass fraction in the liquid and gas phases. The deformed droplet shape is tracked by a sharp-interface level-set method, which is extended to include the effects of evaporation at the liquid–gas interface and dynamic contact angle at the liquid–gas–solid interline. The numerical results show that the droplet impact and evaporation pattern depends significantly on the advancing and receding contact angles. Also, the effect of cavity sidewall on the droplet motion is investigated.
Issue Section:
Evaporation, Boiling, and Condensation
References
1.
Harlow
, F. H.
, and Shannon
, J. P.
, 1967, “The Splash of a Liquid Droplet
,” J. Appl. Phys.
, 38
, pp. 3855
–3866
.2.
Trapaga
, G.
, and Szekely
, J.
, 1991, “Mathematical Modeling of the Isothermal Impingement of Liquid Droplets in Spraying Processes
,” Metall. Trans. B
, 22
, pp. 901
–914
.3.
Fukai
, J.
, Shiiba
, Y.
, Yamamoto
, T.
, Miyatake
, O.
, Poulikakos
, O.
, Megaridis
, C. M.
, and Zhao
, Z.
, 1995, “Wetting Effects on the Spreading of a Liquid Droplet Colliding With a Flat Surface
,” Phys. Fluids
, 7
, pp. 236
–247
.4.
Bussmann
, M.
, Mostaghimi
, J.
, and Chandra
, S.
, 1999, “On a Three-Dimensional Volume Tracking Model of Droplet Impact
,” Phys. Fluids
, 6
, pp. 1406
–1417
.5.
Fang
, C.
, Hidrovo
, C.
, Wang
, F.
, Eaton
, J.
, and Goodson
, K.
, 2008, “3-D Numerical Simulation of Contact Angle Hysteresis for Microscale Two Phase Flow
,” Int. J. Multiphase Flow
, 34
, pp. 690
–705
.6.
Trujillo
, M. F.
, Alvarado
, J.
, Gehring
, E.
, and Soriano
, G. S.
, 2011, “Numerical Simulations and Experimental Characterization of Heat Transfer From a Periodic Impingement of Droplets
,” ASME J. Heat Transfer
, 133
, p. 122201
.7.
Healy
, W. M.
, Hartley
, J. G.
, and Abdel-Khalik
, S. I.
, 2001, “On the Validity of the Adiabatic Spreading Assumption in Droplet Impact Cooling
,” Int. J. Heat Mass Transfer
, 44
, pp. 3869
–3881
.8.
Spelt
, P. D. M.,
2005, “A Level-Set Approach for Simulations of Flows With Multiple Moving Contact Lines With Hysteresis
,” J. Comput. Phys.
, 207
, pp. 389
–404
.9.
Lee
, W.
, and Son
, G.
, 2011, “Numerical Study of Droplet Impact and Coalescence in a Microline Patterning Process
,” Comput. Fluids
, 42
, pp. 26
–36
.10.
Muradoglu
, M.
, and Tasoglu
, S.
, 2010, “A Front-Tracking Method for Computational Modeling of Impact and Spreading of Viscous Droplets on Solid Walls
,” Comput. Fluids
, 39
, pp. 615
–625
.11.
Lim
, T.
, Han
, S.
, Chung
, J.
, Chung
, J. T.
, Ko
, S.
, and Grigoropoulos
, C. P.
, 2009, “Experimental Study on Spreading and Evaporation of Inkjet Printed Pico-Liter Droplet on a Heated Substrate
,” Int. J. Heat Mass Transfer
, 52
, pp. 431
–441
.12.
Juric
, D.
, and Tryggvason
, G.
, 1998, “Computations of Boiling Flows
,” Int. J. Multiphase Flow
, 24
, pp. 387
–410
.13.
Welch
, S. W.
J., and Wilson
, J.
, 2000, “A Volume of Fluid Based Method for Fluid Flows With Phase Change
,” J. Comput. Phys.
, 160
, pp. 662
–682
.14.
Son
, G.
, and Dhir
, V. K.
, 1998, “Numerical Simulation of Film Boiling Near Critical Pressures With a Level Set Method
,” ASME J. Heat Transfer
, 120
, pp. 183
–192
.15.
Gibou
, F.
, Chen
, L.
, Nguyen
, D.
, and Banerjee
, S.
, 2007, “A Level Set Based Sharp Interface Method for the Multiphase Incompressible Navier-Stokes Equations With Phase Change
,” J. Comput. Phys.
, 222
, pp. 536
–555
.16.
Son
, G.
, and Dhir
, V. K.
, 2007, “A Level Set Method for Analysis of Film Boiling on an Immersed Solid Surface
,” Numer. Heat Transfer, Part B
, 52
, pp. 153
–177
.17.
Tanguy
, S.
, Menard
, T.
, and Berlemont
, A.
, 2007, “A Level Set Method for Vaporizing Two-Phase Flows
,” J. Comput. Phys.
, 221
, pp. 837
–853
.18.
Nguyen
, D. Q.
, Fedkiw
, R. P.
, and Kang
, M.
, 2001, “A Boundary Condition Capturing Method for Incompressible Flame Discontinuities
,” J. Comput. Phys.
, 172
, pp. 71
–98
.19.
Gibou
, F.
, Fedkiw
, R. P.
, Cheng
, L. T.
, and Kang
, M.
, 2002, “A Second-Order-Accurate Symmetric Discretization of the Poisson Equation on Irregular Domains
,” J. Comput. Phys.
, 176
, pp. 205
–227
.20.
Son
, G.
, 2009, “A Level-Set Method for Analysis of Microdroplet Evaporation on a Heated Surface
,” J. Mech. Sci. Technol.
, 24
, pp. 991
–997
.21.
Carey
, V. P.
, 2008, Liquid-Vapor Phase-Change Phenomena
, 2nd ed., Taylor
& Francis, London
, pp. 61
–66
.22.
Girard
, F.
, Antoni
, M.
, and Sefiane
, K.
, 2008, “On the Effect of Marangoni Flow on Evaporation Rates of Heated Water Drops
,” Langmuir
, 24
, pp. 9207
–9210
.23.
Wang
, H.
, Pan
, Z.
, and Garimella
, S. V.
, 2011, “Numerical Investigation of Heat and Mass Transfer From an Evaporating Meniscus in a Heated Open Groove
,” Int. J. Heat Mass Transfer
, 54
, pp. 3015
–3023
.24.
Son
, G.
, 2003, “Efficient Implementation of a Coupled Level-Set and Volume-of-Fluid Method for Three-Dimensional Incompressible Two-Phase Flows
,” Numer. Heat Transfer, Part B
, 43
, pp. 549
–565
.25.
Bejan
, A.
, 1995, Convection Heat Transfer
, Wiley-Interscience Publication
, New York
.26.
Mills
, A. F.
, 1999, Basic Heat and Mass Transfer
, Prentice-Hall
, Upper Saddle River, NJ
.27.
Thomas
, F. I.
, Jr., and Peter
, E. L.
, 1984, Steam and Gas Tables With Computer Equations
, Academic Press
, New York
.Copyright © 2012
by American Society of Mechanical Engineers
You do not currently have access to this content.
