Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 68, 2015 - Issue 6
555
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

A Level-Set Method for the Direct Numerical Simulation of Particle Motion in Droplet Evaporation

&
Pages 479-494 | Received 19 Jan 2015, Accepted 17 Apr 2015, Published online: 01 Oct 2015

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.
  • 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, p. 075020, 2009.
  • K. L. Maki and S. Kumar, Fast Evaporation of Spreading Droplets of Colloidal Suspensions, Langmuir, vol. 27, pp. 11347–11363, 2011.
  • J. Lee and G. Son, A Level-Set Method for Analysis of Particle Motion in an Evaporating Microdroplet, Numer. Heat Transfer B, vol. 67, pp. 25–46, 2015.
  • S. Haeri and J. S. Shrimpton, On the Application of Immersed Boundary, Fictitious Domain and Body-Conformal Mesh Methods to Many Particle Multiphase Flows, Int. J. Multiphase Flow, vol. 40, pp. 38–55, 2012.
  • R. Glowinski, T. W. Pan, T. I. Hesla, D. D. Joseph, and J. Periaux, A Fictitious Domain Approach to the Direct Numerical Simulation of Incompressible Viscous Flow Past Moving Rigid Bodies: Application to Particulate Flow, J. Comput. Phys., vol. 169, pp. 363–426, 2001.
  • C. S. Peskin, Numerical Analysis of Blood Flow in the Heart, J. Comput. Phys., vol. 25, pp. 220–252, 1997.
  • M. Uhlmann, An Immersed Boundary Method with Direct Forcing for the Simulation of Particulate Flows, J. Comput. Phys., vol. 209, pp. 448–476, 2005.
  • N. Sharma and N. A. Patankar, A Fast Computation Technique for the Direct Numerical Simulation of Rigid Particulate Flows, J. Comput. Phys., vol. 205, pp. 439–457, 2005.
  • I. Mirzaii and M. Passandideh-Fard, Modeling Free Surface Flows in Presence of an Arbitrary Moving Object, Int. J. Multiphase Flow, vol. 39, pp. 216–226, 2012.
  • M. Fujita, O. Koike, and Y. Yamaguchi, Direct Simulation of Drying Colloidal Suspension on Substrate Using Immersed Free Surface Model, J. Comput. Phys., vol. 281, pp. 421–448, 2015.
  • 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, p. 101502, 2012.
  • M. Kang, R. P. Fedkiw, and X. D. Liu, A Boundary Condition Capturing Method for Multiphase Incompressible flow, J. Sci. Comput., vol. 15, pp. 323–360, 2000.
  • 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.
  • 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.
  • 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.
  • Y. Suh and G. Son, A Sharp-Interface Level-Set Method for Simulation of a Piezoelectric Inkjet Process, Numer. Heat Transfer B, vol. 55, pp. 295–312, 2009.
  • A. ten Cate, C. H. Nieuwstad, J. J. Derksen, and H. E. A. Van den Akker, Particle Imaging Velocimetry Experiments and Lattice-Boltzmann Simulation on a Single Sphere Settling Under Gravity, Phys. Fluids, vol. 14, pp. 4012–4025, 2002.
  • 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.
  • C. Diaz-Goano, P. D. Minev, and K. Nandakumar, A Fictitious Domain/Finite Element Method for Particulate Flows, J. Comput. Phys., vol. 192, pp. 105–123, 2003.
  • F. I. Thomas, Jr., and E. L. Peter Steam and Gas Tables with Computer Equations. New York: Academic Press, 1984.
  • A. F. Routh and W. B. Zimmerman, Distribution of Particles during Solvent Evaporation from Films, Chem. Eng. Sci., vol. 59, pp. 2961–2968, 2004.
  • J. Leng, Drying of a Colloidal Suspension in Confined Geometry, Phys. Rev. E, vol. 82, 021405, 2010.

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.