Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 52, 2007 - Issue 6
253
Views
27
CrossRef citations to date
0
Altmetric
Original Articles

On the Successive Impingement of Droplets Onto a Substrate

, &
Pages 531-548 | Received 22 Jul 2006, Accepted 03 Feb 2007, Published online: 31 Jul 2007

REFERENCES

  • A. M. Worthington , On the Forms Assumed by Drops of Liquid Falling on a Horizontal Plate , Proc. R. Soc. Lond. , vol. 25 , pp. 261 – 271 , 1877 .
  • A. M. Worthington , A Second Paper on the Forms Assumed by Drops of Liquids Falling Vertically on a Horizontal Plate , Proc. R. Soc. Lond. , vol. 25 , pp. 498 – 503 , 1877 .
  • S. Chandra and C. T. Avedisian , On the Collision of a Droplet with a Solid Surface , Proc. R. Soc. Lond., A , vol. 432 , pp. 13 – 41 , 1991 .
  • A. L. Yarin and D. A. Weiss , Impact of Drops on Solid Surfaces: Self-similar Capillary Waves, and Splashing as a New Type of Kinematic Discontinuity , J. Fluid Mech. , vol. 283 , pp. 141 – 173 , 1995 .
  • H. Fujimoto , T. Ogino , H. Takuda , and N. Hatta , Collision of a Droplet with a Hemispherical Static Droplet on a Solid , Int. J. Multiphase Flow , vol. 27 , pp. 1227 – 1245 , 2001 .
  • H. Y. Kim and J. H. Chun , The Recoiling of Liquid Droplets upon Collision with Solid Surface , Phys. Fluids , vol. 13 , pp. 643 – 659 , 2001 .
  • J. Fukai , Z. Zhao , D. Poulikakos , C. Megaridis , and O. Miyatake , Modeling of the Deformation of a Liquid Droplet Impinging upon a Flat Surface , Phys. Fluids , vol. 5 , pp. 2588 – 2599 , 1993 .
  • J. Fukai , Y. Shiiba , T. Yamamoto , O. Miyatake , D. Poulikakos , C. M. Megaridis , and Z. Zhao , Wetting Effects on the Spreading of a Liquid Droplet Colliding with a Flat Surface: Experiment and Modeling, Phys. Fluids , vol. 7, pp. 236–247, 1995.
  • N. Hatta , H. Fujimoto , and H. Takuda , Deformation Process of a Water Droplet Impinging on a Solid Surface , J. Fluids Eng. , vol. 117 , pp. 394 – 401 , 1995 .
  • Z. Zhao , D. Poulikakos , and J. Fukai , Heat Transfer and Fluid Dynamics during the Collision of a Liquid Droplet on a Substrate—I. Modeling , Int. J. Heat Mass Transfer , vol. 39 , pp. 2771 – 2789 , 1996 .
  • H. Fujimoto , T. Ogino , N. Hatta , and H. Takuda , Numerical Simulation of Successive Collision of Two Liquid Droplets with a Solid Wall , ISIJ Int. , vol. 41 , pp. 454 – 459 , 2001 .
  • H. Fujimoto , I. Takezaki , Y. Shiotani , A. Y. Tong , and H. Takuda , Collision Dynamics of Two Droplets Impinging Successively onto a Hot Solid , ISIJ Int. , vol. 44 , pp. 1049 – 1056 , 2004 .
  • H. Fujimoto and H. Takuda , Entrapment of Air at 45 Degrees Oblique Collision of a Water Drop with a Smooth Solid Surface at Room Temperature , Int. J. Heat Mass Transfer , vol. 47 , pp. 3301 – 3305 , 2004 .
  • H. Fujimoto , H. Shiraishi , and N. Hatta , Evolution of Liquid/Solid Contact Area of a Drop Impinging on a Solid Surface , Int. J. Heat Mass Transfer , vol. 43 , pp. 1673 – 1677 , 2000 .
  • H. Fujimoto , T. Ogino , O. Takahashi , H. Takuda , and N. Hatta , Bubble Formation at Impingement of a Liquid Droplet on a Solid Surface , Proc. ASME Fluids Engineering Division, Florida , FED-vol. 253 , pp. 29 – 34 , 2000 .
  • H. Fujimoto , S. Ito , and I. Takezaki , Experimental Study of Successive Collision of Two Water Droplets with a Solid , Exp. Fluids , vol. 33 , pp. 500 – 502 , 2002 .
  • A. Karl and A. Frohn , Experimental Investigation of Interaction Processes between Droplets and Hot Walls , Phys. Fluids , vol. 12 , pp. 785 – 796 , 2000 .
  • M. P. Mughal , H. Fawad , and R. Mufti , Numerical Thermal Analysis to Study the Effect of Static Contact Angle on the Cooling Rate of a Molten Metal Droplet , Numer. Heat Transfer A , vol. 49 , pp. 95 – 107 , 2006 .
  • L. L. Zheng and H. Zhang , An Adaptive Level Set Method for Moving-Boundary Problems: Application to Droplet Spreading and Solidification , Numer. Heat Transfer B , vol. 37 , pp. 437 – 454 , 2000 .
  • M. Chung and R. H. Rangel , Simulation of Metal Droplet Deposition with Solidification Including Undercooling and Contact Resistance Effects , Numer. Heat Transfer A , vol. 37 , pp. 201 – 226 , 2000 .
  • M. Francois and W. Shyy , Computations of Drop Dynamics with the Immersed Boundary Method, Part 2: Drop Impact and Heat Transfer , Numer. Heat Transfer B , vol. 44 , pp. 119 – 143 , 2003 .
  • M. Bussman , J. Mostaghimi , and S. Chandra , On a Three-Dimensional Volume Tracking Model of Droplet Impact , Phys. Fluids , vol. 11 , pp. 1406 – 1417 , 1999 .
  • V. Mehdi-Nejad , J. Mostaghimi , and S. Chandra , Air Bubble Entrapment under an Impacting Droplet , Phys. Fluids , vol. 15 , pp. 173 – 183 , 2003 .
  • B. R. Holt and A. Y. Tong , Numerical Simulation of a Liquid Metal Droplet Impacting onto a Rigid Substrate , 4th ASME/JSME Thermal Engineering Joint Conf. , Maui , Hawaii , vol. 2 , pp. 149 – 156 , 1995.
  • B. R. Holt and A. Y. Tong , The Normal Incidence Impact and Solidification Phenomena of a Liquid Droplet onto a Rigid Substrate , Proc. ASME Fluids Engineering Division, 1995 IMECE , FED-vol. 234 , pp. 215 – 224 , 1995 .
  • A. Y. Tong and B. R. Holt , A Numerical Correlation for the Solidification of Liquid Droplets Impacting onto a Substrate , Second Int. Symp. on Multiphase Flows and Heat Transfer on Materials Processing , FED-vol. 240 , pp. 257 – 264 , 1996 .
  • A. Y. Tong and B. R. Holt , Numerical Study on the Solidification of Liquid Metal Droplets Impacting onto a Substrate, Numer. Heat Transfer A , vol. 31, pp. 797–817, 1997.
  • A. Y. Tong , A Numerical Study on the Collision Behavior of Droplets , in Forum on Advances in Numerical Modeling of Free Surface and Interface Fluid Dynamics , FED-vol. 238 , Fluids Engineering Division Conf. Vol. 3 ASME , San Diego , California , 1996 .
  • A. Y. Tong , A Numerical Study on the Hydrodynamics and Heat Transfer of a Circular Liquid Jet Impinging onto a Substrate , Numer. Heat Transfer A , vol. 44 , pp. 1 – 19 , 2003 .
  • A. Y. Tong , On the Impingement Heat Transfer of an Oblique Free Surface Plane Jet , Int. J. Heat Mass Transfer , vol. 46 , pp. 2077 – 2085 , 2003 .
  • M. Rudman , Volume-Tracking Methods for Interfacial Flow Calculations , Int. J. Numer. Meth. Fluids , vol. 24 , pp. 671 – 691 , 1997 .
  • B. R. Holt , The Normal Incident Impact Phenomena and Solidification of a Liquid Metal Droplet onto a Rigid Substrate , Ph.D. thesis, University of Texas at Arlington , 1995 .
  • D. S. Kershaw , The Incomplete Cholesky-Conjugate Gradient Method for the Iterative Solution of Systems of Linear Equations , J. Comput. Phys. , vol. 26 , pp. 43 – 65 , 1978 .
  • C. W. Hirt and B. D. Nichols , Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries , J. Comput. Phys. , vol. 39 , pp. 201 – 225 , 1981 .
  • D. L. Youngs , Time-Dependent Multi-Material Flow with Large Fluid Distortion , in Numerical Methods for Fluid Dynamics , pp. 273 – 285 , Academic Press , New York , 1982 .
  • J. U. Brackbill , D. B. Kothe , and C. Zemach , A Continuum Method for Modeling Surface Tension , J. Comput. Phys. , vol. 100 , pp. 335 – 354 , 1992 .
  • M. Renardy , Y. Renardy , and J. Li , Numerical Simulation of Moving Contact Line Problems Using a Volume-of-Fluid Method , J. Comput. Phys. , vol. 171 , pp. 243 – 263 , 2001 .
  • E. B. Dussan V ., On the Spreading of Liquids on Solid Surfaces: Static and Dynamic Contact Lines , Annu. Rev. Fluid Mech. , vol. 11 , pp. 371 – 400 , 1979 .

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.