Lattice Boltzmann modeling of self-propelled Leidenfrost droplets on ratchet surfaces

Li, Qing; Kang, Qinjun J.; Francois, Marianne M.; Hu, A. J.

doi:10.1039/C5SM01353D

Title: Lattice Boltzmann modeling of self-propelled Leidenfrost droplets on ratchet surfaces

Journal Article · Sun Oct 09 00:00:00 EDT 2016 · Soft Matter

DOI:https://doi.org/10.1039/C5SM01353D· OSTI ID:1329863

Li, Qing ^[1]; Kang, Qinjun J. ^[2]; Francois, Marianne M. ^[3]; Hu, A. J. ^[4]

Central South Univ., Changsha (China). School of Energy Science and Engineering; Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Computational Earth Science Group
Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Computational Earth Science Group
Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Fluid Dynamics and Solid Mechanics
Southwest Univ. of Science and Technology, Mianyang (China). School of Civil Engineering and Architecture

Here in this paper, the self-propelled motion of Leidenfrost droplets on ratchet surfaces is numerically investigated with a thermal multiphase lattice Boltzmann model with liquid-vapor phase change. The capability of the model for simulating evaporation is validated via the D² law. Using the model, we first study the performances of Leidenfrost droplets on horizontal ratchet surfaces. It is numerically shown that the motion of self-propelled Leidenfrost droplets on ratchet surfaces is owing to the asymmetry of the ratchets and the vapor flows beneath the droplets. It is found that the Leidenfrost droplets move in the direction toward the slowly inclined side from the ratchet peaks, which agrees with the direction of droplet motion in experiments [Linke et al., Phys. Rev. Lett., 2006, 96, 154502]. Moreover, the influences of the ratchet aspect ratio are investigated. For the considered ratchet surfaces, a critical value of the ratchet aspect ratio is approximately found, which corresponds to the maximum droplet moving velocity. Furthermore, the processes that the Leidenfrost droplets climb uphill on inclined ratchet surfaces are also studied. Lastly, numerical results show that the maximum inclination angle at which a Leidenfrost droplet can still climb uphill successfully is affected by the initial radius of the droplet.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; National Natural Science Foundation of China (NSFC); Foundation for the Author of National Excellent Doctoral Dissertation of China

Grant/Contract Number:: AC52-06NA25396; 51506227; 201439

OSTI ID:: 1329863

Report Number(s):: LA-UR-15-24100

Journal Information:: Soft Matter, Vol. 12, Issue 1; ISSN 1744-683X

Publisher:: Royal Society of ChemistryCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 46 works

Citation information provided by
Web of Science

References (48)

Leidenfrost Point Reduction on Micropatterned Metallic Surfaces Arnaldo del Cerro, Daniel; Marín, Álvaro G.; Römer, Gertwillem R. B. E. Langmuir, Vol. 28, Issue 42 https://doi.org/10.1021/la302181f	journal	October 2012
Lattice Boltzmann Simulation of Growth and Deformation for a Rising Vapor Bubble Through Superheated Liquid Dong, Zhiqiang; Li, Weizhong; Song, Yongchen Numerical Heat Transfer, Part A: Applications, Vol. 55, Issue 4 https://doi.org/10.1080/10407780902720718	journal	February 2009
Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation Shan, Xiaowen; Chen, Hudong Physical Review E, Vol. 49, Issue 4 https://doi.org/10.1103/PhysRevE.49.2941	journal	April 1994
Lattice Boltzmann modeling of boiling heat transfer: The boiling curve and the effects of wettability Li, Q.; Kang, Q. J.; Francois, M. M. International Journal of Heat and Mass Transfer, Vol. 85 https://doi.org/10.1016/j.ijheatmasstransfer.2015.01.136	journal	June 2015
Simulation of evaporation by an extension of the pseudopotential lattice Boltzmann method: A quantitative analysis Márkus, Attila; Házi, Gábor Physical Review E, Vol. 83, Issue 4 https://doi.org/10.1103/PhysRevE.83.046705	journal	April 2011
A numerical investigation of the evaporation process of a liquid droplet impinging onto a hot substrate Nikolopoulos, N.; Theodorakakos, A.; Bergeles, G. International Journal of Heat and Mass Transfer, Vol. 50, Issue 1-2 https://doi.org/10.1016/j.ijheatmasstransfer.2006.06.012	journal	January 2007
Leidenfrost on a ratchet Lagubeau, Guillaume; Le Merrer, Marie; Clanet, Christophe Nature Physics, Vol. 7, Issue 5 https://doi.org/10.1038/nphys1925	journal	February 2011
Effect of an electric field on a Leidenfrost droplet Celestini, Franck; Kirstetter, Geoffroy Soft Matter, Vol. 8, Issue 22 https://doi.org/10.1039/c2sm25656h	journal	January 2012
Propulsion mechanisms for Leidenfrost solids on ratchets Baier, Tobias; Dupeux, Guillaume; Herbert, Stefan Physical Review E, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevE.87.021001	journal	February 2013
Extended lattice Boltzmann method for numerical simulation of thermal phase change in two-phase fluid flow Safari, Hesameddin; Rahimian, Mohammad Hassan; Krafczyk, Manfred Physical Review E, Vol. 88, Issue 1 https://doi.org/10.1103/PhysRevE.88.013304	journal	July 2013
Room temperature water Leidenfrost droplets Celestini, Franck; Frisch, Thomas; Pomeau, Yves Soft Matter, Vol. 9, Issue 40 https://doi.org/10.1039/c3sm51608c	journal	January 2013
Propulsion of droplets on micro- and sub-micron ratchet surfaces in the Leidenfrost temperature regime Ok, Jeong Tae; Lopez-Oña, Eugene; Nikitopoulos, Dimitris E. Microfluidics and Nanofluidics, Vol. 10, Issue 5 https://doi.org/10.1007/s10404-010-0733-x	journal	November 2010
Convection in Multiphase Fluid Flows Using Lattice Boltzmann Methods Biferale, L.; Perlekar, P.; Sbragaglia, M. Physical Review Letters, Vol. 108, Issue 10 https://doi.org/10.1103/PhysRevLett.108.104502	journal	March 2012
Self-Propelled Leidenfrost Droplets Linke, H.; Alemán, B. J.; Melling, L. D. Physical Review Letters, Vol. 96, Issue 15 https://doi.org/10.1103/PhysRevLett.96.154502	journal	April 2006
A sublimation heat engine Wells, Gary G.; Ledesma-Aguilar, Rodrigo; McHale, Glen Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms7390	journal	March 2015
Trapping Leidenfrost Drops with Crenelations Dupeux, Guillaume; Le Merrer, Marie; Clanet, Christophe Physical Review Letters, Vol. 107, Issue 11 https://doi.org/10.1103/PhysRevLett.107.114503	journal	September 2011
Fingering patterns during droplet impact on heated surfaces Khavari, Mohammad; Sun, Chao; Lohse, Detlef Soft Matter, Vol. 11, Issue 17 https://doi.org/10.1039/C4SM02878C	journal	January 2015
Multi-scale simulation of oblique collisions of a droplet on a surface in the Leidenfrost regime Yu, Zhao; Ge, Yang; Fan, L. -S. Chemical Engineering Science, Vol. 62, Issue 13 https://doi.org/10.1016/j.ces.2007.01.085	journal	July 2007
Thermally driven flows between a Leidenfrost solid and a ratchet surface Hardt, Steffen; Tiwari, Sudarshan; Baier, Tobias Physical Review E, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevE.87.063015	journal	June 2013
Capillary droplets on Leidenfrost micro-ratchets Marín, Álvaro G.; Arnaldo del Cerro, Daniel; Römer, Gertwillem R. B. E. Physics of Fluids, Vol. 24, Issue 12 https://doi.org/10.1063/1.4768813	journal	December 2012
The emergence of supramolecular forces from lattice kinetic models of non-ideal fluids: applications to the rheology of soft glassy materials Sbragaglia, M.; Benzi, R.; Bernaschi, M. Soft Matter, Vol. 8, Issue 41 https://doi.org/10.1039/c2sm26167g	journal	January 2012
Viscous mechanism for Leidenfrost propulsion on a ratchet Dupeux, G.; Le Merrer, M.; Lagubeau, G. EPL (Europhysics Letters), Vol. 96, Issue 5 https://doi.org/10.1209/0295-5075/96/58001	journal	November 2011
Propulsion on a superhydrophobic ratchet Dupeux, Guillaume; Bourrianne, Philippe; Magdelaine, Quentin Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep05280	journal	June 2014
Leidenfrost drops Biance, Anne-Laure; Clanet, Christophe; Quéré, David Physics of Fluids, Vol. 15, Issue 6 https://doi.org/10.1063/1.1572161	journal	January 2003
Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model Li, Q.; Luo, K. H.; Li, X. J. Physical Review E, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevE.87.053301	journal	May 2013
Leidenfrost levitation: beyond droplets Hashmi, Ali; Xu, Yuhao; Coder, Benjamin Scientific Reports, Vol. 2, Issue 1 https://doi.org/10.1038/srep00797	journal	November 2012
Maximum size of drops levitated by an air cushion Snoeijer, Jacco H.; Brunet, Philippe; Eggers, Jens Physical Review E, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevE.79.036307	journal	March 2009
Ratchet composite thin film for low-temperature self-propelled Leidenfrost droplet Feng, Ruotao; Zhao, Wenjie; Wu, Xuedong Journal of Colloid and Interface Science, Vol. 367, Issue 1 https://doi.org/10.1016/j.jcis.2011.11.008	journal	February 2012
Lattice Boltzmann 2038 Succi, Sauro EPL (Europhysics Letters), Vol. 109, Issue 5 https://doi.org/10.1209/0295-5075/109/50001	journal	March 2015
Oscillating and star-shaped drops levitated by an airflow Bouwhuis, Wilco; Winkels, Koen G.; Peters, Ivo R. Physical Review E, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevE.88.023017	journal	August 2013
Lattice-Boltzmann simulations of droplet evaporation Ledesma-Aguilar, Rodrigo; Vella, Dominic; Yeomans, Julia M. Soft Matter, Vol. 10, Issue 41 https://doi.org/10.1039/C4SM01291G	journal	January 2014
Formation, growth, and eruption cycle of vapor domes beneath a liquid puddle during Leidenfrost phenomena Paul, Gayatri; Manna, Indranil; Kumar Das, Prasanta Applied Physics Letters, Vol. 103, Issue 8 https://doi.org/10.1063/1.4819095	journal	August 2013
Hydrodynamics of Leidenfrost droplets in one-component fluids Xu, Xinpeng; Qian, Tiezheng Physical Review E, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevE.87.043013	journal	April 2013
Lattice Boltzmann model for simulating flows with multiple phases and components Shan, Xiaowen; Chen, Hudong Physical Review E, Vol. 47, Issue 3 https://doi.org/10.1103/PhysRevE.47.1815	journal	March 1993
Equations of state in a lattice Boltzmann model Yuan, Peng; Schaefer, Laura Physics of Fluids, Vol. 18, Issue 4 https://doi.org/10.1063/1.2187070	journal	April 2006
Leidenfrost Dynamics Quéré, David Annual Review of Fluid Mechanics, Vol. 45, Issue 1 https://doi.org/10.1146/annurev-fluid-011212-140709	journal	January 2013
Lattice BGK Models for Navier-Stokes Equation Qian, Y. H.; D'Humières, D.; Lallemand, P. Europhysics Letters (EPL), Vol. 17, Issue 6 https://doi.org/10.1209/0295-5075/17/6/001	journal	February 1992
Enhanced Droplet Control by Transition Boiling Grounds, Alex; Still, Richard; Takashina, Kei Scientific Reports, Vol. 2, Issue 1 https://doi.org/10.1038/srep00720	journal	October 2012
Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability Lallemand, Pierre; Luo, Li-Shi Physical Review E, Vol. 61, Issue 6 https://doi.org/10.1103/PhysRevE.61.6546	journal	June 2000
A critical review of the pseudopotential multiphase lattice Boltzmann model: Methods and applications Chen, Li; Kang, Qinjun; Mu, Yutong International Journal of Heat and Mass Transfer, Vol. 76 https://doi.org/10.1016/j.ijheatmasstransfer.2014.04.032	journal	September 2014
Lattice Boltzmann Method for Fluid Flows Chen, Shiyi; Doolen, Gary D. Annual Review of Fluid Mechanics, Vol. 30, Issue 1 https://doi.org/10.1146/annurev.fluid.30.1.329	journal	January 1998
Organization of microbeads in Leidenfrost drops Maquet, Laurent; Colinet, Pierre; Dorbolo, Stéphane Soft Matter, Vol. 10, Issue 23 https://doi.org/10.1039/c4sm00169a	journal	January 2014
A ratchet trap for Leidenfrost drops Cousins, Thomas R.; Goldstein, Raymond E.; Jaworski, Justin W. Journal of Fluid Mechanics, Vol. 696 https://doi.org/10.1017/jfm.2012.27	journal	February 2012
Leidenfrost Gas Ratchets Driven by Thermal Creep Würger, Alois Physical Review Letters, Vol. 107, Issue 16 https://doi.org/10.1103/PhysRevLett.107.164502	journal	October 2011
Improved axisymmetric lattice Boltzmann scheme Li, Q.; He, Y. L.; Tang, G. H. Physical Review E, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevE.81.056707	journal	May 2010
Recent advances in droplet vaporization and combustion Law, C. K. Progress in Energy and Combustion Science, Vol. 8, Issue 3 https://doi.org/10.1016/0360-1285(82)90011-9	journal	January 1982
Leidenfrost vapour layer moderation of the drag crisis and trajectories of superhydrophobic and hydrophilic spheres falling in water Vakarelski, Ivan U.; Chan, Derek Y. C.; Thoroddsen, Sigurdur T. Soft Matter, Vol. 10, Issue 31 https://doi.org/10.1039/C4SM00368C	journal	January 2014
Lattice-Boltzmann Method for Complex Flows Aidun, Cyrus K.; Clausen, Jonathan R. Annual Review of Fluid Mechanics, Vol. 42, Issue 1 https://doi.org/10.1146/annurev-fluid-121108-145519	journal	January 2010

Cited By (9)

Entropy production in thermal phase separation: a kinetic-theory approach Zhang, Yudong; Xu, Aiguo; Zhang, Guangcai Soft Matter, Vol. 15, Issue 10 https://doi.org/10.1039/c8sm02637h	journal	January 2019
The nanoscale Leidenfrost effect Rodrigues, Jhonatam; Desai, Salil Nanoscale, Vol. 11, Issue 25 https://doi.org/10.1039/c9nr01386e	journal	January 2019
Discrete fluidization of dense monodisperse emulsions in neutral wetting microchannels Fei, Linlin; Scagliarini, Andrea; Luo, Kai H. Soft Matter, Vol. 16, Issue 3 https://doi.org/10.1039/c9sm02331c	journal	January 2020
Controllable Leidenfrost glider on a shallow water layer Sugioka, Hideyuki; Segawa, Satoru AIP Advances, Vol. 8, Issue 11 https://doi.org/10.1063/1.5051238	journal	November 2018
Self-propelling Leidenfrost droplets on a variable topography surface Arter, James M.; Cleaver, David J.; Takashina, Kei Applied Physics Letters, Vol. 113, Issue 24 https://doi.org/10.1063/1.5056249	journal	December 2018
High-speed side-shooter using Leidenfrost phenomena Sugioka, Hideyuki; Segawa, Satoru; Kubota, Mako Journal of Applied Physics, Vol. 125, Issue 13 https://doi.org/10.1063/1.5064429	journal	April 2019
Numerical study on vapor–liquid phase change in an enclosed narrow space Zhang, Chengbin; Wu, Suchen; Yao, Feng Numerical Heat Transfer, Part A: Applications, Vol. 77, Issue 2 https://doi.org/10.1080/10407782.2019.1685821	journal	November 2019
Entropy production in thermal phase separation: a kinetic-theory approach Zhang, Yudong; Xu, Aiguo; Zhang, Guangcai arXiv https://doi.org/10.48550/arxiv.1808.07698	text	January 2018
Discrete fluidization of dense monodisperse emulsions in neutral wetting microchannels Fei, Linlin; Scagliarini, Andrea; Luo, Kai H. arXiv https://doi.org/10.48550/arxiv.1910.01978	text	January 2019

Similar Records

Length Scale of Leidenfrost Ratchet Switches Droplet Directionality

Journal Article · Wed Jan 01 00:00:00 EST 2014 · Nanoscale · OSTI ID:1329863

Agapov, Rebecca L; Boreyko, Jonathan B; Briggs, Dayrl P; +4 more

Asymmetric Wettability Directs Leidenfrost Droplets

Journal Article · Wed Jan 01 00:00:00 EST 2014 · ACS Nano · OSTI ID:1329863

Agapov, Rebecca L; Boreyko, Jonathan B; Briggs, Dayrl P; +4 more

Length scale selects directionality of droplets on vibrating pillar ratchet

Journal Article · Mon Sep 22 00:00:00 EDT 2014 · Advanced Materials Interfaces · OSTI ID:1329863

Agapov, Rebecca L.; Boreyko, Jonathan B.; Briggs, Dayrl P.; +4 more

Related Subjects

97 MATHEMATICS AND COMPUTING
32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION
Energy Sciences

Title: Lattice Boltzmann modeling of self-propelled Leidenfrost droplets on ratchet surfaces

Citation Formats

References (48)

Cited By (9)

Similar Records

Related Subjects