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@article{Taylor1963,
author = {Taylor, T.D. and Andreas Acrivos},
journal = {J FLUID MECH},
number = {3},
volume={18},
pages = {466--476},
title = {{On the deformation and drag of a falling viscous drop at low Reynolds number}},
year = {1963}
}
@article{Afkhami2008,
author = {Afkhami, S and Bussmann, M},
doi = {10.1002/fld},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Afkhami, Bussmann - 2008 - Height functions for applying contact angles to 2D VOF simulations.pdf:pdf},
keywords = {contact angle,contact line,height function,vof,volume of fluid},
number = {October 2007},
pages = {453--472},
title = {{Height functions for applying contact angles to 2D VOF simulations}},
year = {2008}
}
@article{Afkhami,
author = {Afkhami, S and Bussmann, M},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Afkhami, Bussmann - Unknown - A Numerical Dynamic Contact Angle Model Applied to Droplets Sliding on An Incline.pdf:pdf},
pages = {1--12},
title = {{A Numerical Dynamic Contact Angle Model Applied to Droplets Sliding on An Incline}}
}
@article{Afkhami2009,
author = {Afkhami, S. and Zaleski, S. and Bussmann, M.},
doi = {10.1016/j.jcp.2009.04.027},
file = {:home/palas/Documents/Papers\_review/papers drop impact/https\_\_\_web.njit.edu\_\~{}shahriar\_Publication\_JCP1.pdf:pdf},
issn = {00219991},
journal = {Journal of Computational Physics},
month = aug,
number = {15},
pages = {5370--5389},
title = {{A mesh-dependent model for applying dynamic contact angles to VOF simulations}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0021999109002083},
volume = {228},
year = {2009}
}
@article{Alamos1992,
author = {Alamos, Los and Division, Theoretical and Introduction, I},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Alamos, Division, Introduction - 1992 - for Modeling Surface Tension.pdf:pdf},
title = {{for Modeling Surface Tension *}},
volume = {335354},
year = {1992}
}
@article{Andrade2012,
author = {Andrade, R. and Skurtys, O. and Osorio, F.},
doi = {10.1016/j.jfoodeng.2011.10.038},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Andrade, Skurtys, Osorio - 2012 - Experimental study of drop impacts and spreading on epicarps Effect of fluid properties.pdf:pdf},
issn = {02608774},
journal = {Journal of Food Engineering},
month = apr,
number = {3},
pages = {430--437},
publisher = {Elsevier Ltd},
title = {{Experimental study of drop impacts and spreading on epicarps: Effect of fluid properties}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0260877411006030},
volume = {109},
year = {2012}
}
@article{Chen2014,
author = {Chen, Senlin and Guo, Liejin},
doi = {10.1016/j.ces.2014.01.021},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Chen, Guo - 2014 - Viscosity Effect on regular bubble entrapment during drop impact into a deep pool.pdf:pdf},
issn = {00092509},
journal = {Chemical Engineering Science},
keywords = {Bubble,Crater cusp reversal dynamics,Damping effect,Drop,Interface,Simulation},
month = apr,
pages = {1--16},
publisher = {Elsevier},
title = {{Viscosity Effect on regular bubble entrapment during drop impact into a deep pool}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0009250914000232},
volume = {109},
year = {2014}
}
@article{Clanet2004,
author = {Clanet, Christophe and B\'{e}guin, C\'{e}dric and Richard, Denis and Qu\'{e}r\'{e}, David},
doi = {10.1017/S0022112004000904},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Clanet et al. - 2004 - Maximal deformation of an impacting drop.pdf:pdf},
issn = {0022-1120},
journal = {Journal of Fluid Mechanics},
month = sep,
pages = {199--208},
title = {{Maximal deformation of an impacting drop}},
url = {http://www.journals.cambridge.org/abstract\_S0022112004000904},
volume = {517},
year = {2004}
}
@article{Constantin,
author = {Constantin, Peter},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Constantin - Unknown - Some open problems and research directions in the mathematical study of fluid dynamics .pdf:pdf},
pages = {1--11},
title = {{Some open problems and research directions in the mathematical study of fluid dynamics .}}
}
@article{CourrechduPont2006,
author = {{Courrech du Pont}, S. and Eggers, J.},
doi = {10.1103/PhysRevLett.96.034501},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Courrech du Pont, Eggers - 2006 - Sink Flow Deforms the Interface Between a Viscous Liquid and Air into a Tip Singularity.pdf:pdf},
issn = {0031-9007},
journal = {Physical Review Letters},
month = jan,
number = {3},
pages = {034501},
title = {{Sink Flow Deforms the Interface Between a Viscous Liquid and Air into a Tip Singularity}},
url = {http://link.aps.org/doi/10.1103/PhysRevLett.96.034501},
volume = {96},
year = {2006}
}
@article{Crooks2001,
author = {Crooks, Regan and Cooper-whitez, Justin and Boger, David V},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Crooks, Cooper-whitez, Boger - 2001 - The role of dynamic surface tension and elasticity on the dynamics of drop impact.pdf:pdf},
keywords = {drop impact,dynamic surface tension,elasticity,hydrophobic},
pages = {5575--5592},
title = {{The role of dynamic surface tension and elasticity on the dynamics of drop impact}},
volume = {56},
year = {2001},
journal={CHEM ENG SCI}
}
@article{Eggers1997,
author = {Eggers, Jens},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Eggers - 1997 - Nonlinear dynamics and breakup of free-surface flows.pdf:pdf},
number = {1833},
pages = {865--929},
title = {{Nonlinear dynamics and breakup of free-surface flows}},
volume = {69},
year = {1997}
}
@article{Farrokhpanah2015,
author = {Farrokhpanah, Amirsaman and Samareh, Babak and Mostaghimi, Javad},
doi = {10.1115/1.4028877},
file = {:home/palas/Documents/Papers\_review/papers drop impact/contact\_angles/fe\_137\_04\_041303.pdf:pdf},
issn = {0098-2202},
journal = {Journal of Fluids Engineering},
month = jan,
number = {4},
pages = {041303},
title = {{Applying Contact Angle to a Two-Dimensional Multiphase Smoothed Particle Hydrodynamics Model}},
url = {http://fluidsengineering.asmedigitalcollection.asme.org/article.aspx?doi=10.1115/1.4028877},
volume = {137},
year = {2015}
}
@article{Harlow1967,
author = {Harlow, Francis H and Shannon, John P},
doi = {10.1063/1.1709031},
title = {{The Splash of a Liquid Drop}},
volume = {3855},
year = {1967},
journal={J APPL PHYS}
}
@article{Gunjal2005,
author = {Gunjal, Prashant R. and Ranade, Vivek V. and Chaudhari, Raghunath V.},
doi = {10.1002/aic.10300},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Gunjal, Ranade, Chaudhari - 2005 - Dynamics of drop impact on solid surface Experiments and VOF simulations.pdf:pdf},
issn = {0001-1541},
journal = {AICHE J},
keywords = {cfd,drop impact,recoiling,spreading,trickle bed,vof},
month = jan,
number = {1},
pages = {59--78},
title = {{Dynamics of drop impact on solid surface: Experiments and VOF simulations}},
url = {http://doi.wiley.com/10.1002/aic.10300},
volume = {51},
year = {2005}
}
@article{Hirt1981,
author = {Hirt, C W},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Hirt - 1981 - Volume of Fluid ( VOF ) Method for the Dynamics of Free Boundaries.pdf:pdf},
pages = {201--225},
title = {{Volume of Fluid ( VOF ) Method for the Dynamics of Free Boundaries}},
volume = {225},
year = {1981},
journal={J COMPUT PHYS}
}
@article{Huang2013,
author = {Huang, Xianjia and Chen, Pingping and Lan, Meijuan and Wang, Xishi and Liao, Guangxuan},
doi = {10.1016/j.proeng.2013.08.135},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Huang et al. - 2013 - Experimental Study of Water Drops with Additive Impact on Wood Surfaces.pdf:pdf},
issn = {18777058},
journal = {Procedia Engineering},
keywords = {additive,drop impact,fire suppression,water mist,wood fire},
pages = {852--858},
publisher = {Elsevier B.V.},
title = {{Experimental Study of Water Drops with Additive Impact on Wood Surfaces}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S1877705813013179},
volume = {62},
year = {2013}
}
@article{Hung2011,
author = {Hung, Yi-Lin and Wang, Meng-Jiy and Liao, Yu-Ching and Lin, Shi-Yow},
doi = {10.1016/j.colsurfa.2011.03.061},
file = {:home/palas/Documents/Papers\_review/papers drop impact/1-s2.0-S0927775711002354-main.pdf:pdf},
issn = {09277757},
journal = {COLLOIDS SURFACES A},
month = jul,
number = {1-3},
pages = {172--179},
publisher = {Elsevier B.V.},
title = {{Initial wetting velocity of droplet impact and spreading: Water on glass and parafilm}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0927775711002354},
volume = {384},
year = {2011}
}
@article{Jiang2013,
author = {Jiang, Tao and Lu, Lin-Guang and Lu, Wei-Gang},
doi = {10.1007/s00466-013-0943-7},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Jiang, Lu, Lu - 2013 - The numerical investigation of spreading process of two viscoelastic droplets impact problem by using an improved.pdf:pdf},
isbn = {0046601309},
issn = {0178-7675},
journal = {Computational Mechanics},
keywords = {sph,weissenberg number,xpp model},
month = oct,
number = {5},
pages = {977--999},
title = {{The numerical investigation of spreading process of two viscoelastic droplets impact problem by using an improved SPH scheme}},
url = {http://link.springer.com/10.1007/s00466-013-0943-7},
volume = {53},
year = {2013}
}
@article{Lee2010,
author = {Lee, Taehun and Liu, Lin},
doi = {10.1016/j.jcp.2010.07.007},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Lee, Liu - 2010 - Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces.pdf:pdf},
issn = {00219991},
journal = {Journal of Computational Physics},
keywords = {contact line dynamics,lattice boltzmann method},
month = oct,
number = {20},
pages = {8045--8063},
publisher = {Elsevier Inc.},
title = {{Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0021999110003761},
volume = {229},
year = {2010}
}
@article{Liang2014,
author = {Liang, Gangtao and Guo, Yali and Shen, Shengqiang},
doi = {10.1016/j.expthermflusci.2013.12.015},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Liang, Guo, Shen - 2014 - Dynamic behaviors during a single liquid drop impact on a static drop located on spheres.pdf:pdf},
issn = {08941777},
journal = {Experimental Thermal and Fluid Science},
month = feb,
pages = {244--250},
publisher = {Elsevier Inc.},
title = {{Dynamic behaviors during a single liquid drop impact on a static drop located on spheres}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0894177713002951},
volume = {53},
year = {2014}
}
@article{Lorstad2004,
author = {L\"{o}rstad, Daniel and Fuchs, Laszlo},
doi = {10.1016/j.jcp.2004.04.001},
file = {:home/palas/Documents/Papers\_review/papers drop impact/L\"{o}rstad, Fuchs - 2004 - High-order surface tension VOF-model for 3D bubble flows with high density ratio.pdf:pdf},
issn = {00219991},
journal = {Journal of Computational Physics},
keywords = {bubble two-phase flows,curvature,surface tension,volume of fluid},
month = oct,
number = {1},
pages = {153--176},
title = {{High-order surface tension VOF-model for 3D bubble flows with high density ratio}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0021999104001482},
volume = {200},
year = {2004}
}
@article{Lunkad2007,
author = {Lunkad, Siddhartha F. and Buwa, Vivek V. and Nigam, K.D.P.},
doi = {10.1016/j.ces.2007.07.036},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Lunkad, Buwa, Nigam - 2007 - Numerical simulations of drop impact and spreading on horizontal and inclined surfaces.pdf:pdf},
issn = {00092509},
journal = {CHEM ENG SCI},
keywords = {computational fluid dynamics,drop,drop impact and spreading,dynamic simulation,volume of fluid method},
month = dec,
number = {24},
pages = {7214--7224},
title = {{Numerical simulations of drop impact and spreading on horizontal and inclined surfaces}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0009250907005386},
volume = {62},
year = {2007}
}
@article{Mao1997,
author = {Mao, Ted and Kuhn, David C S and Tran, Honghi},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Mao, Kuhn, Tran - 1997 - Spread and Rebound of Liquid Droplets upon Impact on Flat Surfaces.pdf:pdf},
number = {9},
pages = {2169--2179},
title = {{Spread and Rebound of Liquid Droplets upon Impact on Flat Surfaces}},
volume = {4},
year = {1997},
journal={AICHE J}
}
@article{Pilliod2004,
author = {Pilliod, James Edward and Puckett, Elbridge Gerry},
doi = {10.1016/j.jcp.2003.12.023},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Pilliod, Puckett - 2004 - Second-order accurate volume-of-fluid algorithms for tracking material interfaces.pdf:pdf},
issn = {00219991},
journal = {Journal of Computational Physics},
keywords = {advection algorithms,fluid interfaces,interface tracking,material interfaces,volume tracking,volume-of-fluid},
month = sep,
number = {2},
pages = {465--502},
title = {{Second-order accurate volume-of-fluid algorithms for tracking material interfaces}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0021999104000920},
volume = {199},
year = {2004}
}
@article{Popinet2003,
author = {Popinet, St\'{e}phane},
doi = {10.1016/S0021-9991(03)00298-5},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Popinet\_GERRIS.pdf:pdf},
issn = {00219991},
journal = {J COMPUT PHYS},
keywords = {adaptive mesh refinement,approximate projection method,complex geometry,incompressible flow},
month = sep,
number = {2},
pages = {572--600},
title = {{Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0021999103002985},
volume = {190},
year = {2003}
}
@article{Puckett1997,
author = {Puckett, Elbridge Gerry and Almgren, Ann S. and Bell, John B. and Marcus, Daniel L. and Rider, William J.},
doi = {10.1006/jcph.1996.5590},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Puckett et al. - 1997 - A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows.pdf:pdf},
issn = {00219991},
journal = {Journal of Computational Physics},
month = jan,
number = {2},
pages = {269--282},
title = {{A High-Order Projection Method for Tracking Fluid Interfaces in Variable Density Incompressible Flows}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0021999196955904},
volume = {130},
year = {1997}
}
@article{Rein1993,
author = {Rein, Martin},
doi = {10.1016/0169-5983(93)90106-K},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Rein - 1993 - Phenomena of liquid drop impact on solid and liquid surfaces.pdf:pdf},
issn = {0169-5983},
journal = {Fluid Dynamics Research},
month = aug,
number = {2},
pages = {61--93},
title = {{Phenomena of liquid drop impact on solid and liquid surfaces}},
url = {http://stacks.iop.org/1873-7005/12/i=2/a=A01?key=crossref.59fd1116f4dd1849f353b06468e4e508},
volume = {12},
year = {1993}
}
@article{Renardy2001,
author = {Renardy, Michael and Renardy, Yuriko and Li, Jie},
doi = {10.1006/jcph.2001.6785},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Renardy, Renardy, Li - 2001 - Numerical Simulation of Moving Contact Line Problems Using a Volume-of-Fluid Method.pdf:pdf},
issn = {00219991},
journal = {Journal of Computational Physics},
keywords = {contact line,volume of fluid method},
month = jul,
number = {1},
pages = {243--263},
title = {{Numerical Simulation of Moving Contact Line Problems Using a Volume-of-Fluid Method}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0021999101967853},
volume = {171},
year = {2001}
}
@article{Richard2000,
author = {Richard, D},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Richard, Qu\'{e}r\'{e} - 2000 - Bouncing water drops.pdf:pdf},
number = {June},
pages = {769--775},
title = {{Bouncing water drops ´}},
volume = {50},
year = {2000},
journal={EUROPHYS LETT}
}
@article{Richard2002,
author = {Richard, Denis and Clanet, Christophe and Qu\'{e}r\'{e}, David},
file = {:home/palas/Documents/Papers\_review/papers drop impact/nature\_417811a.pdf:pdf},
number = {1994},
pages = {0--1},
title = {{Contact time of a bouncing drop}},
volume = {1334},
year = {2002},
journal={NATURE}
}
@article{Spreading1977,
author = {Spreading, Dynamic},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Spreading - 1977 - Dynamic Spreading.pdf:pdf},
number = {2},
title = {{Dynamic Spreading}},
volume = {16},
year = {1977}
}
@article{Society2014,
author = {Society, The Royal},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Society - 2014 - On the collision of a droplet with a solid surface.pdf:pdf},
number = {1884},
pages = {13--41},
title = {{On the collision of a droplet with a solid surface}},
volume = {432},
year = {2014}
}
@article{Society2014a,
author = {Society, The Royal},
file = {:home/palas/Documents/Papers\_review/papers drop impact/Society - 2014 - SPLASHING OF WATER DROPS ON SOLID AND WETTED SURFACES HYDRODYNAMICS AND CHARGE SEPARATION.pdf:pdf},
number = {1200},
pages = {555--585},
title = {{SPLASHING OF WATER DROPS ON SOLID AND WETTED SURFACES : HYDRODYNAMICS AND CHARGE SEPARATION}},
volume = {269},
year = {2014}
}
@book{Mariotte1700,
title={Trait{\'e} du mouvement des eaux et des autres corps fluides, mis en lumiere par les soins de m. de La Hire},
author={Mariotte, E. and de La Hire, P.},
url={https://books.google.ca/books?id=HDUDAAAAQAAJ},
year={1700},
publisher={Nabu Press}
}
@book{Worthington1908,
title={A Study of Splashes},
author={Worthington, A.M.},
year={1908},
publisher={Longmans, Green, and Company}
}
@article{Rioboo2001,
title={Outcomes from a drop impact on solid surfaces},
author={Rioboo, Romain and Tropea, Cameron and Marengo, Marco},
journal={ATOMIZATION SPRAY},
volume={11},
number={2},
year={2001},
publisher={Begel House Inc.}
}
@article{Roux2004,
title = "Dynamics of water spreading on a glass surface ",
journal = "J COLLOID INTERF SCI",
volume = "277",
number = "2",
pages = "424 - 436",
year = "2004",
issn = "0021-9797",
doi = "http://dx.doi.org/10.1016/j.jcis.2004.05.007",
author = "D.C.D. Roux and J.J. Cooper-White",
}
@article{Tripathi2014,
abstract = {Is a settling drop equivalent to a rising bubble? The answer is known to be in general a no, but we show that when the density of the drop is less than 1.2 times that of the surrounding fluid, an equivalent bubble can be designed for small inertia and large surface tension. Hadamard's exact solution is shown to be better for this than making the Boussinesq approximation. Scaling relationships and numerical simulations show a bubble-drop equivalence for moderate inertia and surface tension, so long as the density ratio of the drop to its surroundings is close to unity. When this ratio is far from unity, the drop and the bubble are very different. We show that this is due to the tendency for vorticity to be concentrated in the lighter fluid, i.e. within the bubble but outside the drop. As the Galilei and Bond numbers are increased, a bubble displays underdamped shape oscillations, whereas beyond critical values of these numbers, over-damped behavior resulting in break-up takes place. The different circulation patterns result in thin and cup-like drops but bubbles thick at their base. These shapes are then prone to break-up at the sides and centre, respectively.},
author = {Tripathi, Manoj Kumar and Sahu, Kirti Chandra and Govindarajan, Rama},
doi = {10.1038/srep04771},
file = {:home/palas/Documents/Papers\_review/papers drop impact/srep04771.pdf:pdf},
issn = {2045-2322},
journal = {Scientific reports},
month = jan,
pages = {4771},
pmid = {24759766},
title = {{Why a falling drop does not in general behave like a rising bubble.}},
volume = {4},
year = {2014}
}
@article{Pasandideh1996,
author = "Pasandideh‐Fard, M. and Qiao, Y. M. and Chandra, S. and Mostaghimi, J.",
title = "Capillary effects during droplet impact on a solid surface",
journal = "PHYS FLUIDS",
year = "1996",
volume = "8",
number = "3",
pages = "650-659",
}
@article{Bussmann1999,
author = "Bussmann, M. and Mostaghimi, J. and Chandra, S.",
title = "On a three-dimensional volume tracking model of droplet impact",
journal = "PHYS FLUIDS",
year = "1999",
volume = "11",
number = "6",
pages = "1406-1417",
}
@article{Kang2000,
year={2000},
issn={0723-4864},
journal={EXP FLUIDS},
volume={29},
number={4},
title={On the dynamic behavior of a liquid droplet impacting upon an inclined heated surface},
publisher={Springer-Verlag},
author={Kang, B. S. and Lee, D. H.},
pages={380-387},
}
@article{Sikalo2005,
title = "Impact of droplets onto inclined surfaces ",
journal = "J COLLOID INTERF SCI",
volume = "286",
number = "2",
pages = "661 - 669",
year = "2005",
author = "S. Sikalo and C. Tropea and E.N. Ganić",
}
@article{Fukai2000,
title={Dynamic Contact Angles of Water Droplets Sliding on Inclined Hot Surfaces},
author={Jun Fukai and Masaharu Etou and Fumio Asanoma and Osamu Miyatake},
journal={J CHEM ENG JPN},
volume={33},
number={1},
pages={177-179},
year={2000},
doi={10.1252/jcej.33.177}
}
@article{Liu2015,
author = {Liu, Yuan and Tan, Peng and Xu, Lei},
title = {Kelvin-Helmholtz instability in an ultrathin air film causes drop splashing on smooth surfaces},
volume = {112},
number = {11},
pages = {3280-3284},
year = {2015},
doi = {10.1073/pnas.1417718112},
journal = {Proceedings of the National Academy of Sciences}
}
@article{Jones1971,
author={H Jones},
title={Cooling, freezing and substrate impact of droplets formed by rotary atomization},
journal={J PHYS D APPL PHYS},
volume={4},
number={11},
pages={1657},
url={http://stacks.iop.org/0022-3727/4/i=11/a=206},
year={1971},
abstract={A simple model is developed for the cooling and freezing prior to substrate impact of droplets generated by rotary atomization. Application of the model accounts for Busk's observation in 1960 that droplets below a certain size were solid on impact with the 6 m diameter chamber walls of his apparatus. Application to smaller-scale apparatus indicates negligible cooling or freezing prior to impact. Calculations indicate that termination of flattening after impact could not have resulted from freezing. However, an alternative mechanism of conversion of kinetic to viscous energy predicts too small a terminal thickness by a factor of at least five. The implied restraint in viscous deformation might have arisen from oxide film formation on the droplet surfaces.}
}
@article{Madejski1976,
title = "Solidification of droplets on a cold surface ",
journal = "INT J HEAT MASS TRAN",
volume = "19",
number = "9",
pages = "1009 - 1013",
year = "1976",
author = "J. Madejski"
}
@article{Chandra1991,
jstor_articletype = {research-article},
title = {On the Collision of a Droplet with a Solid Surface},
author = {Chandra, S. and Avedisian, C. T.},
journal = {Proceedings: Mathematical and Physical Sciences},
jstor_issuetitle = {},
volume = {432},
number = {1884},
jstor_formatteddate = {Jan. 8, 1991},
pages = {pp. 13-41},
url = {http://www.jstor.org/stable/51903},
ISSN = {09628444},
language = {English},
year = {1991},
publisher = {The Royal Society},
copyright = {Copyright © 1991 The Royal Society},
}
@article{Bennett1993,
year={1993},
issn={0022-2461},
journal={J MATER SCI},
volume={28},
number={4},
doi={10.1007/BF00400880},
title={Splat-quench solidification: estimating the maximum spreading of a droplet impacting a solid surface},
publisher={Kluwer Academic Publishers},
author={Bennett, T. and Poulikakos, D.},
pages={963-970},
language={English}
}
@article {Scheller1995,
author = {Scheller, Brian L. and Bousfield, Douglas W.},
title = {Newtonian drop impact with a solid surface},
journal = {AICHE J},
volume = {41},
number = {6},
publisher = {American Institute of Chemical Engineers},
issn = {1547-5905},
url = {http://dx.doi.org/10.1002/aic.690410602},
doi = {10.1002/aic.690410602},
pages = {1357--1367},
year = {1995},
}
@article{Chen1993,
author = "Chen, KangPing",
title = "Wave formation in the gravity‐driven low‐Reynolds number flow of two liquid films down an inclined plane",
journal = "Physics of Fluids A: Fluid Dynamics (1989-1993)",
year = "1993",
volume = "5",
number = "12",
pages = "3038-3048",
url = "http://scitation.aip.org/content/aip/journal/pofa/5/12/10.1063/1.858714",
doi = "http://dx.doi.org/10.1063/1.858714"
}
@article{Yih1967,
author = {Yih,Chia-Shun},
title = {Instability due to viscosity stratification},
journal = {Journal of Fluid Mechanics},
volume = {27},
issue = {02},
month = {2},
year = {1967},
issn = {1469-7645},
pages = {337--352},
numpages = {16},
doi = {10.1017/S0022112067000357},
URL = {http://journals.cambridge.org/article_S0022112067000357},
}
@article{HB1987,
author = {Hooper,A. P. and Boyd,W. G. C.},
title = {Shear-flow instability due to a wall and a viscosity discontinuity at the interface},
journal = {Journal of Fluid Mechanics},
volume = {179},
month = {6},
year = {1987},
issn = {1469-7645},
pages = {201--225},
numpages = {25},
doi = {10.1017/S0022112087001496},
URL = {http://journals.cambridge.org/article_S0022112087001496},
}
@article{LL1989,
author = "Loewenherz, D. S. and Lawrence, C. J.",
title = "The effect of viscosity stratification on the stability of a free surface flow at low Reynolds number",
journal = "Physics of Fluids A: Fluid Dynamics (1989-1993)",
year = "1989",
volume = "1",
number = "10",
pages = "1686-1693",
url = "http://scitation.aip.org/content/aip/journal/pofa/1/10/10.1063/1.857533",
doi = "http://dx.doi.org/10.1063/1.857533"
}
@book{Rein2002,
title={Drop-Surface Interactions},
author={Rein, M.},
isbn={9783211836927},
series={CISM International Centre for Mechanical Sciences Series},
url={http://books.google.ca/books?id=qecltbmIbC4C},
year={2002},
publisher={Springer}
}
@book{Tryggvason2011,
title={Direct Numerical Simulations of Gas--Liquid Multiphase Flows},
author={Tryggvason, G. and Scardovelli, R. and Zaleski, S.},
isbn={9781139496704},
url={https://books.google.co.in/books?id=nY5bjSYq-AEC},
year={2011},
publisher={Cambridge University Press}
}
@article{Rudman1997,
title={Volume-tracking methods for interfacial flow calculations},
author={Rudman, Murray},
journal={International journal for numerical methods in fluids},
volume={24},
number={7},
pages={671--691},
year={1997}
}
@article{Ghia1982,
title={High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method},
author={Ghia, UKNG and Ghia, Kirti N and Shin, CT},
journal={Journal of computational physics},
volume={48},
number={3},
pages={387--411},
year={1982},
publisher={Elsevier}
}
@article{Zalesak1979,
title={Fully multidimensional flux-corrected transport algorithms for fluids},
author={Zalesak, Steven T},
journal={Journal of computational physics},
volume={31},
number={3},
pages={335--362},
year={1979},
publisher={Elsevier}
}
@article{Gerlach2006,
title={Comparison of volume-of-fluid methods for surface tension-dominant two-phase flows},
author={Gerlach, D and Tomar, G and Biswas, G and Durst, F},
journal={International Journal of Heat and Mass Transfer},
volume={49},
number={3},
pages={740--754},
year={2006},
publisher={Elsevier}
}
@book{Leal2007,
title={Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes},
author={Leal, L.G.},
isbn={9781139462068},
series={Cambridge Series in Chemical Engineering},
url={https://books.google.co.in/books?id=jbRGKo1IeOwC},
year={2007},
publisher={Cambridge University Press}
}
@book{Anton2001,
title={Numerical modeling of two-fluid interfacial flows, PhD thesis},
author={Smolianski, Anton},
year={2001},
publisher={University of Jyv{\"a}skyl{\"a}}
}
@article{Kothe1996,
title={Volume tracking of interfaces having surface tension in two and three dimensions},
author={Kothe, DB and Rider, WJ and Mosso, SJ and Brock, JS and Hochstein, JI},
journal={AIAA paper},
volume={96},
number={0859},
pages={1--18},
year={1996}
}
@article{Youngs1982,
title={Time-dependent multi-material flow with large fluid distortion},
author={Youngs, David L},
journal={Numerical methods for fluid dynamics},
volume={24},
pages={273--285},
year={1982},
publisher={Academic Press New York}
}
@book{Anderson1995,
title={Computational Fluid Dynamics},
author={Anderson, J.},
isbn={9780070016859},
lccn={94021237},
series={Computational Fluid Dynamics: The Basics with Applications},
url={https://books.google.co.in/books?id=dJceAQAAIAAJ},
year={1995},
publisher={McGraw-Hill Education}
}