PAN Zhen-hai, WANG Hao. Modeling of Micro-Particle’s Motion Near an Evaporating Meniscus[J]. Applied Mathematics and Mechanics, 2014, 35(3): 331-340. doi: 10.3879/j.issn.1000-0887.2014.03.012
Citation: PAN Zhen-hai, WANG Hao. Modeling of Micro-Particle’s Motion Near an Evaporating Meniscus[J]. Applied Mathematics and Mechanics, 2014, 35(3): 331-340. doi: 10.3879/j.issn.1000-0887.2014.03.012

Modeling of Micro-Particle’s Motion Near an Evaporating Meniscus

doi: 10.3879/j.issn.1000-0887.2014.03.012
Funds:  The National Natural Science Foundation of China(51276003)
  • Received Date: 2013-10-10
  • Rev Recd Date: 2013-12-30
  • Publish Date: 2014-03-15
  • The transport process and flow structure near an evaporating meniscus are highly complicated due to various coupling factors. A numerical model was developed to describe the physical process and motion of a micro-particle near an evaporating meniscus. The evaporation and its cooling effect on the interface, vapor diffusion in the gas domain, as well as thermocapillary flow were considered together with computational fluid dynamics (CFD). At the same time, the particle’s motion was tracked with discrete element method (DEM). The interaction between the micro flow field and the particle, including drag force and buoyancy force, was considered. The simulation results agree well with the experiments in previous published literatures.
  • loading
  • [1]
    Picknett R G, Bexon R. The evaporation of sessile or pendant drops in still air[J].Journal of Colloid and Interface Science, 1977,61(2): 336-350.
    [2]
    Hu H, Larson R G. Evaporation of a sessile droplet on a substrate[J].Journal of Physical Chemistry B,2002,106(6): 1334-1344.
    [3]
    Popov Y O. Evaporative deposition patterns: spatial dimensions of the deposit[J].Physical Review E, 2005,71(3): 036313.
    [4]
    Nguyen T A, Nguyen A V. Increased evaporation kinetics of sessile droplets by using nanoparticles[J].Langmuir,2012,28(49): 16725-16728.
    [5]
    Dunn G J, Wilson S K, Duffy B R, David S, Sefiane K. The strong influence of substrate conductivity on droplet evaporation[J].Journal of Fluid Mechanics,2009,623: 329-351.
    [6]
    Saada M A, Chikh S, Tadrist L. Evaporation of a sessile drop with pinned or receding contact line on a substrate with different thermophysical properties[J].International Journal of Heat and Mass Transfer, 2013,58(1/2): 197-208.
    [7]
    Buffone C, Sefiane K. IR measurements of interfacial temperature during phase change in a confined environment[J].Experimental Thermal and Fluid Science,2004,29(1): 65-74.
    [8]
    Buffone C, Sefiane K, Christy J R E. Experimental investigation of self-induced thermocapillary convection for an evaporating meniscus in capillary tubes using micro-particle image velocimetry[J].Physics of Fluids,2005,17(5): 052104.
    [9]
    Chamarthy P, Dhavaleswarapu H K, Garimella S V, Murthy J Y, Wereley S T. Visualization of convection patterns near an evaporating meniscus using μPIV[J].Experiments in Fluids,2008,44(3): 431-438.
    [10]
    Davis S H. Thermocapillary instabilities[J].Annual Review of Fluid Mechanics, 1987,19: 403-435.
    [11]
    Gazzola D, Scarselli E F, Guerrieri R. 3D visualization of convection patterns in lab-on-chip with open microfluidic outlet[J].Microfluidics and Nanofluidics, 2009,7(5): 659-668.
    [12]
    Chen C T, Chieng C C, Tseng F G. Uniform solute deposition of evaporable droplet in nanoliter wells[J].Journal of Microelectromechanical Systems,2007,16(5): 1209-1218.
    [13]
    Schrage R W.A Theoretical Study of Interphase Mass Transfer [M]. New York: Columbia University Press, 1953.
    [14]
    Schiller L, Naumann A. A drag coefficient correlation[J].Vdi Zeitschrift,1935,77: 318-320.
    [15]
    PAN Zhen-hai, WANG Hao. Symmetry-to-asymmetry transition of Marangoni flow at a convex volatizing meniscus[J].Microfluidics and Nanofluidics,2010,9(4/5): 657-669.
    [16]
    PAN Zhen-hai, WANG Fen, WANG Hao. Instability of Marangoni toroidal convection in a microchannel and its relevance with the flowing direction[J].Microfluidics and Nanofluidics,2011,11(3): 327-338.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1086) PDF downloads(1137) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return