Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 67, 2015 - Issue 1
389
Views
21
CrossRef citations to date
0
Altmetric
Original Articles

A Level-Set Method for Analysis of Particle Motion in an Evaporating Microdroplet

&
Pages 25-46 | Received 20 Mar 2014, Accepted 04 Jun 2014, Published online: 23 Oct 2014

REFERENCES

  • A. F. Routh , Drying of Thin Colloidal Films , Rep. Prog. Phys. , vol. 76 , 046603 , 2013 .
  • 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 , vol. 389 , pp. 827 – 829 , 1997 .
  • R. D. Deegan , O. Bakajin , T. F. Dupont , G. Huber , S. R. Nagel , and T. A. Wittan , Contact Line Deposits in an Evaporating Drop , Phys. Rev. E , vol. 62 , pp. 756 – 765 , 2000 .
  • B. J. Fischer , Particle Convection in an Evaporating Colloidal Droplet , Langmuir , vol. 18 , pp. 60 – 67 , 2002 .
  • H. Hu and R. G. Larson , Evaporation of a Sessile Droplet on a Substrate , J. Phys. Chem. B , vol. 106 , pp. 1334 – 1344 , 2002 .
  • H. Hu and R. G. Larson , Analysis of the Microfluid Flow in an Evaporating Sessile Droplet , Langmuir , vol. 21 , pp. 3963 – 3971 , 2005 .
  • E. Widjaja and M. T. Harris , Numerical Study of Vapor Phase-Diffusion Driven Sessile Drop Evaporation , Comput. Chem. Eng. , vol. 32 , pp. 2169 – 2178 , 2008 .
  • O. E. Ruiz and W. Z. Black , Evaporation of Water Droplets Placed on a Heated Horizontal Surface , J. Heat Transfer , vol. 124 , pp. 854 – 863 , 2002 .
  • 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 , vol. 26 , pp. 13272 – 13286 , 2010 .
  • A. M. Briones , J. S. Ervin , S. A. Putnam , L. W. Byrd , and J. G. Jones , A Novel Kinetically-Controlled De-pinning Model for Evaporating Water Microdroplets , Int. Commun. Heat Mass Transfer , vol. 39 , pp. 1311 – 1319 , 2012 .
  • S. Tanguy , T. Menard , and A. Berlemont , A Level-Set Method for Vaporizing Two Phase Flows , J. Comput. Phys , vol. 221 , pp. 837 – 853 , 2007 .
  • G. Son , A Level-Set Method for Analysis of Microdroplet Evaporation on a Heated Surface , J. Mech. Sci. Technol. , vol. 24 , pp. 991 – 997 , 2009 .
  • G. Son , Numerical Simulation of Microdroplet Impact and Evaporation on a Solid Surface , J. Heat Transfer , vol. 134 , pp. 101502-1-10 , 2012 .
  • E. Widjaja and M. T. Harris , Particle Deposition Study during Sessile Drop Evaporation , AICHE J. , vol. 54 , pp. 2250 – 2260 , 2008 .
  • R. Bhardwaj , X. Fang , and D. Attinger , Pattern Formation during the Evaporation of a Colloidal Nanoliter Drop: A Numerical and Experimental Study , New J. Phys. , vol. 11 , 075020 , 2009 .
  • K. L. Maki and S. Kumar , Fast Evaporation of Spreading Droplets of Colloidal Suspensions , Langmuir , vol. 27 , pp. 11347 – 11363 , 2011 .
  • G. Son and V. K. Dhir , A Level Set Method for Analysis of Film Boiling on an Immersed Solid Surface , Numer. Heat Transfer B , vol. 52 , pp. 153 – 177 , 2007 .
  • L. Daubersies and J.-B. Salmon , Evaporation of Solutions, and Colloidal Dispersions in Confined Droplets, Phys. Rev. E , vol. 84, 031406, 2011.
  • F. Gibou , R. P. Fedkiw , L. T Cheng , and M. Kang , A Second-Order-Accurate Symmetric Discretization of the Poisson Equation on Irregular Domains , J. Comput. Phys. , vol. 176 , pp. 205 – 227 , 2002 .
  • D. Q. Nguyen , R. P. Fedkiw , and M. Kang , A Boundary Condition Capturing Method for Incompressible Flame Discontinuities , J. Comput. Phys. , vol. 172 , pp. 71 – 98 , 2001 .
  • S. S. L. Peppin , J. A. W. Elliott , and M. G. Worster , Solidification of Colloidal Suspensions , J. Fluid Mech. , vol. 554 , pp. 147 – 166 , 2006 .
  • A. F. Routh and W. B. Zimmerman , Distribution of Particles during Solvent Evaporation from Films , Chem. Eng. Sci. , vol. 59 , pp. 2961 – 2968 , 2004 .
  • T. Okuzono , K. Ozawa , and M. Doi , Simple Model of Skin Formation Caused by Solvent Evaporation in Polymer Solutions , Phys. Rev. Lett. , vol. 97 , 136103 , 2006 .
  • J. Leng , Drying of a Colloidal Suspension in Confined Geometry , Phys. Rev. E , vol. 82 , 021405 , 2010 .
  • F. I. Thomas , Jr. and E. L. Peter , Steam and Gas Tables with Computer Equations , Academic Press , New York , 1984 .
  • E. Can and A. Prosperetti , A Level Set Method for Vapor Bubble Dynamics , J. Comput. Phys. , vol. 231 , pp. 1533 – 1552 , 2012 .
  • M. Sussman and M. Ohta , A Stable and Efficient Method for Treating Surface Tension in Incompressible Two-Phase Flow , SIAM J. Sci. Comput. , vol. 31 , pp. 2447 – 2471 , 2009 .
  • M. Sussman , A Method for Overcoming the Surface Tension Time Step Constraint in Multiphase Flows II , Int. J. Numer. Meth. Fluids , vol. 68 , pp. 1343 – 1361 , 2012 .
  • M. Sussman , K. M. Smith , M. Y. Hussaini , M. Ohta , and R. Zhi-Wei , A Sharp Interface Method for Incompressible Two-Phase Flows , J. Comput. Phys. , vol. 221 , pp. 469 – 505 , 2007 .
  • Y. Wang , S. Simakhina , and M. Sussman , A Hybrid Level Set-Volume Constraint Method for Incompressible Two-Phase Flows , J. Comput. Phys. , vol. 231 , pp. 6438 – 6471 , 2012 .
  • V. Mihalef , B. Unlusu , D. Metaxas , M. Sussman , and M. Y. Hussaini , Physics Based Boiling Simulation, Proc. 2006 ACM SIGGRAPH/Eurographics Symposium on Computer Animation, Eurographics Association, pp. 317–324 , 2006 .
  • 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 , Phys. Fluids , vol. 7 , pp. 236 – 247 , 1995 .
  • Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/unhb.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.