Surface tension of liquid metal: role, mechanism and application

Xi ZHAO, Shuo XU, Jing LIU

PDF(1591 KB)
PDF(1591 KB)
Front. Energy ›› 2017, Vol. 11 ›› Issue (4) : 535-567. DOI: 10.1007/s11708-017-0463-9
REVIEW ARTICLE
REVIEW ARTICLE

Surface tension of liquid metal: role, mechanism and application

Author information +
History +

Abstract

Surface tension plays a core role in dominating various surface and interface phenomena. For liquid metals with high melting temperature, a profound understanding of the behaviors of surface tension is crucial in industrial processes such as casting, welding, and solidification, etc. Recently, the room temperature liquid metal (RTLM) mainly composed of gallium-based alloys has caused widespread concerns due to its increasingly realized unique virtues. The surface properties of such materials are rather vital in nearly all applications involved from chip cooling, thermal energy harvesting, hydrogen generation, shape changeable soft machines, printed electronics to 3D fabrication, etc. owing to its pretty large surface tension of approximately 700 mN/m. In order to promote the research of surface tension of RTLM, this paper is dedicated to present an overview on the roles and mechanisms of surface tension of liquid metal and summarize the latest progresses on the understanding of the basic knowledge, theories, influencing factors and experimental measurement methods clarified so far. As a practical technique to regulate the surface tension of RTLM, the fundamental principles and applications of electrowetting are also interpreted. Moreover, the unique phenomena of RTLM surface tension issues such as surface tension driven self-actuation, modified wettability on various substrates and the functions of oxides are discussed to give an insight into the acting mechanism of surface tension. Furthermore, future directions worthy of pursuing are pointed out.

Graphical abstract

Keywords

surface tension / liquid metal / soft machine / printed electronics / electrowetting / self-actuation

Cite this article

Download citation ▾
Xi ZHAO, Shuo XU, Jing LIU. Surface tension of liquid metal: role, mechanism and application. Front. Energy, 2017, 11(4): 535‒567 https://doi.org/10.1007/s11708-017-0463-9

References

[1]
Brackbill J U, Kothe D B, Zemach C. A continuum method for modeling surface tension. Journal of Computational Physics, 1992, 100(2): 335–354
CrossRef Google scholar
[2]
Ko E Y, Choi J, Park J Y, Sohn I. Simulation of low carbon steel solidification and mold flux crystallization in continuous casting using a multi-mold simulator. Metals and Materials International, 2014, 20(1): 141–151
CrossRef Google scholar
[3]
Shin M, Oh J S, Lee J, Jung S, Lee J. Dissolution rate of solid iron into liquid Fe-C alloy. Metals and Materials International, 2014, 20(6): 1139–1143
CrossRef Google scholar
[4]
Aqra F, Ayyad A. Surface tension of liquid alkali, alkaline, and main group metals: theoretical treatment and relationship investigations. Metallurgical and Materials Transactions A, Physical Metallurgy and Materials Science, 2011, 42(9): 2680–2684
CrossRef Google scholar
[5]
Amin M R, Gosh R C, Bhuiyan G M. Surface tension of liquid transition and noble metals. Journal of Non-Crystalline Solids, 2013, 380: 42–47
CrossRef Google scholar
[6]
Zhao J, Li J R, Liu S, Han M. A method to measure surface tension of liquid superalloy at room temperature. Hot Working Technology, 2009, 38(23): 57–60
[7]
Seo S M, Paik Y H, Kim D S, Lee W P. Interfacial tension and contact angle variations of SUS304 melt in contact with solid oxides and CaO-SiO2-Al2O3 (CaF2) slags at 1470°C. Metals and Materials International, 1996, 2(2): 65–69
CrossRef Google scholar
[8]
Vitos L, Ruban A V, Skriver H L, Kollár J. The surface energy of metals. Surface Science, 1998, 411(1-2): 186–202
CrossRef Google scholar
[9]
Kim S K, Wang W, Kang Y B. Modeling surface tension of multicomponent liquid steel using modified quasichemical model and constrained Gibbs energy minimization. Metals and Materials International, 2015, 21(4): 765–774
CrossRef Google scholar
[10]
Gough R C, Morishita A M, Dang J H, Moorefield M R, Shiroma W A, Ohta A T. Rapid electrocapillary deformation of liquid metal with reversible shape retention. Micro & Nano Systems Letters, 2015, 3(1): 1–9
CrossRef Google scholar
[11]
Yaws C L. Handbook of Vapor Pressure: Volume 4: Inorganic Componds and Elements. Huston: Gulf Professional Publishing, 1995
[12]
Blair F M, Whitworth J M, Mccabe J F. The physical properties of a gallium alloy restorative material. Dental Materials Official Publication of the Academy of Dental Materials, 1995, 11(4): 277–280
CrossRef Google scholar
[13]
Zhang Q, Zheng Y, Liu J. Direct writing of electronics based on alloy and metal (DREAM) ink: a newly emerging area and its impact on energy, environment and health sciences. Frontiers in Energy, 2012, 6(4): 311–340
CrossRef Google scholar
[14]
Yang X H, Tan S C, Liu J. Thermal management of Li-ion battery with liquid metal. Energy Conversion and Management, 2016, 117: 577–585
CrossRef Google scholar
[15]
Ge H S, Liu J. Keeping smartphones cool with gallium phase change material. Journal of Heat Transfer, 2013, 135(5): 054503
CrossRef Google scholar
[16]
Ge H S, Li H Y, Mei S F, Liu J. Low melting point liquid metal as a new class of phase change material: an emerging frontier in energy area. Renewable & Sustainable Energy Reviews, 2013, 21: 331–346
CrossRef Google scholar
[17]
Deng Y G, Liu J. Design of practical liquid metal cooling device for heat dissipation of high performance CPUs. Journal of Electronic Packaging, 2010, 132(3): 031009
CrossRef Google scholar
[18]
Ma K Q, Liu J. Nano liquid-metal fluid as ultimate coolant. Physics Letters A, 2007, 361(3): 252–256
CrossRef Google scholar
[19]
Vetrovec J, Litt A S, Copeland D A, Junghans J, Durkee R. Liquid metal heat sink for high-power laser diodes. In: International Society for Optics and Photonics, California, USA: SPIE LASE, 2013: 86050
[20]
Jackel J L, Hackwood S, Veselka J J, Beni G. Electrowetting switch for multimode optical fibers. Applied Optics, 1983, 22(11): 1765–1770
CrossRef Google scholar
[21]
Sen P, Kim C J. Microscale liquid-metal switches—a review. IEEE Transactions on Industrial Electronics, 2009, 56(4): 1314–1330
CrossRef Google scholar
[22]
Tsai J T H, Ho C M, Wang F C, Liang C T. Ultrahigh contrast light valve driven by electrocapillarity of liquid gallium. Applied Physics Letters, 2009, 95(25): 251110
CrossRef Google scholar
[23]
Ponce Wong R D, Posner J D, Santos V J. Flexible microfluidic normal force sensor skin for tactile feedback. Sensors and Actuators A, Physical, 2012, 179: 62–69
CrossRef Google scholar
[24]
Majidi C, Kramer R, Wood R J. A non-differential elastomer curvature sensor for softer-than-skin electronics. Smart Materials and Structures, 2011, 20(10): 105017
CrossRef Google scholar
[25]
Park Y L, Majidi C, Kramer R, Bérard P, Wood R J. Hyperelastic pressure sensing with a liquid-embedded elastomer. Journal of Micromechanics and Microengineering, 2010, 20(12): 125029
CrossRef Google scholar
[26]
Fassler A, Majidi C. Soft-matter capacitors and inductors for hyperelastic strain sensing and stretchable electronics. Smart Materials and Structures, 2013, 22(5): 055023
CrossRef Google scholar
[27]
Cheng S, Wu Z. A microfluidic, reversibly stretchable, large-area wireless strain sensor. Advanced Functional Materials, 2011, 21(12): 2282–2290
CrossRef Google scholar
[28]
So J H, Thelen J, Qusba A, Hayes G J, Lazzi J, Dickey M D. Reversibly deformable and mechanically tunable fluidic antennas. Advanced Functional Materials, 2009, 19(22): 3632–3637
CrossRef Google scholar
[29]
Cheng S, Rydberg A, Hjort K, Wu Z. Liquid metal stretchable unbalanced loop antenna. Applied Physics Letters, 2009, 94(14): 144103
CrossRef Google scholar
[30]
Kubo M, Li X, Kim C, Hashimoto M, Wiley B J, Ham D, Whitesides G M. Stretchable microfluidic radiofrequency antennas. Advanced Materials, 2010, 22(25): 2749–2752
CrossRef Google scholar
[31]
Hayes G J, So J H, Qusba A, Dickey M D, Lazzi G. Flexible liquid metal alloy (EGaIn) microstrip patch antenna. IEEE Transactions on Antennas and Propagation, 2012, 60(5): 2151–2156
CrossRef Google scholar
[32]
Tang S Y, Khoshmanesh K, Sivan V, Petersen P, O’mullane A P, Abbott D, Mitchell A, Kalantarzadeh K. Liquid metal enabled pump. Proceedings of the National Academy of Sciences of the United States of America, 2014, 111(9): 3304–3309
CrossRef Google scholar
[33]
Tang S Y, Sivan V, Petersen P, Zhang W, Morrison P D, Kalantar-Zadeh K, Mitchell A, Khoshmanesh K. Liquid metal actuator for inducing chaotic advection. Advanced Functional Materials, 2014, 24(37): 5851–5858
CrossRef Google scholar
[34]
Zhang J, Sheng L, Jin C, Liu J. Liquid metal as connecting or functional recovery channel for the transected sciatic Nerve. Eprint arXiv:1404.5931, 2014
[35]
Jin C, Zhang J, Li X, Yang X K, Yang X Y, Li J J, Liu J. Injectable 3-D fabrication of medical electronics at the target biological tissues. Scientific Reports, 2013, 3: 3442
CrossRef Google scholar
[36]
Wang Q, Yu Y, Pan K Q, Liu J. Liquid metal angiography for mega contrast X-ray visualization of vascular network in reconstructing in-vitro organ anatomy. IEEE Transactions on Biomedical Engineering, 2014, 61(7): 2161–2166
CrossRef Google scholar
[37]
Lu Y, Hu Q Y, Lin Y L, Pacardo D, Wang C, Sun W J, Ligler F S, Dickey M D, Gu Z. Transformable liquid-metal nanomedicine. Nature Communications, 2015, 6: 10066
CrossRef Google scholar
[38]
Zhang J, Guo R, Liu J. Self-propelled liquid metal motors steered by a magnetic or electrical field for drug delivery. Journal of Materials Chemistry B, Materials for Biology and Medicine, 2016, 4(32): 5349–5357
CrossRef Google scholar
[39]
Jeong S H, Hagman A, Hjort K, Jobs M, Sundqvist J, Wu Z. Liquid alloy printing of microfluidic stretchable electronics. Lab on a Chip, 2012, 12(22): 4657–4664
CrossRef Google scholar
[40]
Tabatabai A, Fassler A, Usiak C, Majidi C. Liquid-phase gallium–indium alloy electronics with microcontact printing. Langmuir, 2013, 29(20): 6194–6200
CrossRef Google scholar
[41]
Gozen B A, Tabatabai A, Ozdoganlar O B, Majidi C. High-density soft-matter electronics with micron-scale line width. Advanced Materials, 2014, 26(30): 5211–5216
CrossRef Google scholar
[42]
Wang L, Liu J. Liquid phase 3D printing for quickly manufacturing conductive metal objects with low melting point alloy ink. Science China. Technological Sciences, 2014, 57(9): 1721–1728
CrossRef Google scholar
[43]
Wang L, Liu J. Compatible hybrid 3D printing of metal and nonmetal inks for direct manufacture of end functional devices. Science China, Technological Sciences, 2014, 57(11): 2089–2095
CrossRef Google scholar
[44]
Zhang J, Yao Y Y, Sheng L, Liu J. Self-fueled biomimetic liquid metal mollusk. Advanced Materials, 2015, 27(16): 2648–2655
CrossRef Google scholar
[45]
Tan S C, Yuan B, Liu J. Electrical method to control the running direction and speed of self-powered tiny liquid metal motors. Proceedings–Royal Society. Mathematical, Physical and Engineering Sciences, 2015, 471(2183): 20150297
CrossRef Google scholar
[46]
Tan S C, Gui H, Yuan B, Liu J. Magnetic trap effect to restrict motion of self-powered tiny liquid metal motors. Applied Physics Letters, 2015, 107(7): 071904
CrossRef Google scholar
[47]
Tang X, Tang S Y, Sivan V, Zhang W, Mitchell A, Kalantarzadeh K, Khoshmanesh K. Photochemically induced motion of liquid metal marbles. Applied Physics Letters, 2013, 103(17): 174104
CrossRef Google scholar
[48]
Zavabeti A, Daeneke T, Chrimes A F, O’Mullane A P, Ou J Z, Mitchell A, Khoshmanesh K, Kalantar-zadeh K. Ionic imbalance induced self-propulsion of liquid metals. Nature Communications, 2016, 7: 12402
CrossRef Google scholar
[49]
Mei S F, Gao Y X, Li H Y, Deng Z S, Liu J. Thermally induced porous structures in printed gallium coating to make transparent conductive film. Applied Physics Letters, 2013, 102(4): 041905
CrossRef Google scholar
[50]
Doudrick K, Liu S, Mutunga E M, Klein K L, Damle V, Varanasi K K, Rykaczewski K. Different shades of oxide: from nanoscale wetting mechanisms to contact printing of gallium-based liquid metals. Langmuir, 2014, 30(23): 6867–6877
CrossRef Google scholar
[51]
Regan M J, Tostmann H, Pershan P S, Magnussen O M, Dimasi E, Ocko B M, Deutsch M. X-ray study of the oxidation of liquid-gallium surfaces. Physical Review B: Condensed Matter and Materials Physics, 1997, 55(16): 10786–10790
CrossRef Google scholar
[52]
Regan M J, Pershan P S, Magnussen O M, Ocko B M, Deutsch M, Berman L E. X-ray reflectivity studies of liquid metal and alloy surfaces. Physical Review B: Condensed Matter, 1997, 55(23): 15874–15884
CrossRef Google scholar
[53]
Cademartiri L, Thuo M M, Nijhuis C A, Reus W F, Tricard S, Barber J R, Sodhi R N S, Brodersen P, Kim C, Chiechi R C, Whitesides G M. Electrical resistance of AgTS–S(CH2)n–1CH3//Ga2O3/EGaIn tunneling junctions. Journal of Physical Chemistry C, 2012, 116(20): 10848–10860
CrossRef Google scholar
[54]
Ilyas N, Butcher D P, Durstock M F, Tabor C E. Ion exchange membranes as an interfacial medium to facilitate gallium liquid metal alloy mobility. Advanced Materials Interfaces, 2016, 3(9): 1500665
CrossRef Google scholar
[55]
Tang J, Zhou Y, Liu J, Wang J, Zhu W. Liquid metal actuated ejector vacuum system. Applied Physics Letters, 2015, 106(3): 031901
CrossRef Google scholar
[56]
Baldwin M J, Lynch T, Chousal L, Seraydarian R P, Doerner R P, Luckhardt S C. An injector device for producing clean-surface liquid metal samples of Li, Ga and Sn–Li in vacuum. Fusion Engineering and Design, 2004, 70(2): 107–113
CrossRef Google scholar
[57]
Liu T, Sen P, Kim C J. Characterization of nontoxic liquid-metal alloy Galinstan for applications in microdevices. Journal of Microelectromechanical Systems, 2012, 21(2): 443–450
CrossRef Google scholar
[58]
Zhang Q, Gao Y X, Liu J. Atomized spraying of liquid metal droplets on desired substrate surfaces as a generalized way for ubiquitous printed electronics. Applied Physics A, 2014, 116: 1091–1097
[59]
Gao Y X, Liu J. Gallium-based thermal interface material with high complianceand wettability. Applied Physics A, Materials Science & Processing, 2012, 107(3): 701–708
CrossRef Google scholar
[60]
Esinenco D, Codreanu I, Rebigan R. Design of inkjet printing head, based on electrowetting effect, for printable electronics applications. In: International Semiconductor Conference, Sinaia, Romania: IEEE, 2006, 2: 443–446
[61]
Semenchenko V K. Surface Phenomena in Metals and Alloys.Oxford: Pergamon Press, 1962
[62]
Chacon E, Flores F, Navascues G. A theory for liquid metal surface tension. Journal of Physics F: Metal Physics, 1984, 14(7): 1587–1601
CrossRef Google scholar
[63]
Safran S A. Statistical Thermodynamics of Surfaces, Interfaces, and Membranes. Vol. 90. New York: Perseus Books, 1994
[64]
Mersmann A. Calculation of interfacial tensions. Journal of Crystal Growth, 1990, 102(4): 841–847
CrossRef Google scholar
[65]
Jain T S, De Pablo J J. Calculation of interfacial tension from density of states. Journal of Chemical Physics, 2003, 118(9): 4226–4229
CrossRef Google scholar
[66]
Digilov R M. Semi-empirical model for prediction of crystal–melt interfacial tension. Surface Science, 2004, 555(1–3): 68–74
CrossRef Google scholar
[67]
Nino-Amezquita O G, Enders S, Jaeger P T, Eggers R. Measurement and prediction of interfacial tension of binary mixtures. Industrial & Engineering Chemistry Research, 2010, 49(2): 592–601
CrossRef Google scholar
[68]
Gloor G J, Jackson G, Blas F, Del Rio E M, De Miguel E. Prediction of the vapor-liquid interfacial tension of nonassociating and associating fluids with the SAFT-VR density functional theory. Journal of Physical Chemistry C, 2007, 111(43): 15513–15522
CrossRef Google scholar
[69]
Barrett J C. Some estimates of the surface tension of curved surfaces using density functional theory. Journal of Chemical Physics, 2006, 124(14): 144705
CrossRef Google scholar
[70]
Fu D, Lu J F, Liu J C, Li Y G. Prediction of interfacial tension for binary liquid-liquid systems based on density functional theory. Journal of Chemical Industry and Engineering, 2002, 53(9): 892–898
[71]
Telo Da Gama M, Evans R, Sluckin T. The structure and surface tension of the liquid-vapour interface of a model of a molten salt. Molecular Physics, 1980, 41(6): 1355–1372
CrossRef Google scholar
[72]
Weeks J D. Structure and thermodynamics of the liquid–vapor interface. Journal of Chemical Physics, 1977, 67(7): 3106–3121
CrossRef Google scholar
[73]
Johnson M, Nordholm S. Generalized van der Waals theory. VI. Application to adsorption. Journal of Chemical Physics, 1981, 75(4): 1953–1957
CrossRef Google scholar
[74]
Ho P S, Kwok T. Electromigration in metals. Reports on Progress in Physics, 1989, 52(3): 301–348
CrossRef Google scholar
[75]
Pai S T, Marton J P. Electromigration in metals. Canadian Journal of Physics, 1977, 55(2): 103–115
CrossRef Google scholar
[76]
Beni G, Hackwood S, Jackel J L. Continuous electrowetting effect. Applied Physics Letters, 1982, 40(10): 912–914
CrossRef Google scholar
[77]
Gongadze E, Van R U, Iglič A. Generalized stern models of the electric double layer considering the spatial variation of permittvity and finite size of ions in saturation regime. Cellular & Molecular Biology Letters, 2011, 16(4): 576–594
CrossRef Google scholar
[78]
Grahame D C. Electrode processes and the electrical double layer. Annual Review of Physical Chemistry, 1955, 6(1): 337–358
CrossRef Google scholar
[79]
Daywitt W C. The electron-vacuum coupling force in the Dirac electron theory and its relation to the zitterbewegung. Progress in Physics, 2013, 3: 25–28
[80]
Enderby J, March N. Electron theory of metals and liquid state theory. Advances in Physics, 1967, 16(64): 691–702
CrossRef Google scholar
[81]
Scatchard G.The Gibbs adsorption isotherm 1. Journal of physical chemistry, 1962, 66(4): 618–620
[82]
Lippmann G. Relationship between the electric and capillary phenomena. Gauthier-Villars, 1875 (in French)
[83]
Quinn A, Sedev R, Ralston J. Contact angle saturation in electrowetting. Journal of Physical Chemistry B, 2005, 109(13): 6268–6275
CrossRef Google scholar
[84]
Nogi K, Ogino K, McLean A, Miller W A. The temperature coefficient of the surface tension of pure liquid metals. Metallurgical Transactions B, Process Metallurgy, 1986, 17(1): 163–170
CrossRef Google scholar
[85]
Keene B J. Review of data for the surface tension of pure metals. International Materials Reviews, 1993, 38(4): 157–192
CrossRef Google scholar
[86]
Wikipedia. Surface tension. 2016-11-13
[87]
Lu H M, Jiang Q. Surface tension and its temperature coefficient for liquid metals. Journal of Physical Chemistry B, 2005, 109(32): 15463–15468
CrossRef Google scholar
[88]
Dayal B. Surface tension and melting point. Nature, 1952, 169(4311): 1010
CrossRef Google scholar
[89]
Xiao G. An empirical formula between the surface tensions and the melting points for metals. Jiangxi Science, 1987, 5(4): 31–35 (in Chinese)
[90]
Ceotto D. Empirical equation for predicting the surface tension of some liquid metals at their melting point. Russian Journal of Physical Chemistry, 2014, 88(7): 1269–1272
CrossRef Google scholar
[91]
Aqra F, Ayyad A. Surface energies of metals in both liquid and solid states. Applied Surface Science, 2011, 257(15): 6372–6379
CrossRef Google scholar
[92]
Arafune K, Sugiura M, Hirata A. Investigation of thermal Marangoni convection in low- and high-Prandtl-number fluids. Journal of Chemical Engineering of Japan, 1999, 32(1): 104–109
CrossRef Google scholar
[93]
Eustathopoulos N, Drevet B, Ricci E. Temperature coefficient of surface tension for pure liquid metals. Journal of Crystal Growth, 1998, 191(1–2): 268–274
CrossRef Google scholar
[94]
Kobatake H, Brillo J, Schmitz J, Pichon P Y. Surface tension of binary Al–Si liquid alloys. Journal of Materials Science, 2015, 50(9): 3351–3360
CrossRef Google scholar
[95]
Scheller P R. Surface effects and flow conditions in small volume melts with varying sulphur content. Steel Research, 2001, 72(3): 76–80
CrossRef Google scholar
[96]
Yu J J, Ruan D F, Li Y R, Chen J C. Experimental study on thermocapillary convection of binary mixture in a shallow annular pool with radial temperature gradient. Experimental Thermal and Fluid Science, 2015, 61: 79–86
CrossRef Google scholar
[97]
Zhang Q Z, Peng L, Wang F, Liu J. Thermocapillary convection with bidirectional temperature gradients in a shallow annular pool of silicon melt: effects of ambient temperature and pool rotation. International Journal of Heat and Mass Transfer, 2016, 101: 354–364
CrossRef Google scholar
[98]
Wikipedia. Marangoni effect. https://en.wikipedia.org/wiki/Marangoni_effect. 2016-10-16
[99]
Alchagirov B B, Mozgovoi A G. The surface tension of molten gallium at high temperatures. High Temperature, 2005, 43(5): 791–792
CrossRef Google scholar
[100]
Alchagirov B B, Dadashev R K, Dyshekova F F, Elimkhanov D Z. Temperature dependence of the surface tension of indium. Russian Journal of Physical Chemistry A, 2013, 87(6): 890–894
CrossRef Google scholar
[101]
Alchagirov A B, Alchagirov B B, Khokonov K B. A device for the study of the surface tension of liquid metal solutions with an increased elasticity of intrinsic vapors. Instruments and Experimental Techniques, 2003, 46(3): 413–415
CrossRef Google scholar
[102]
Ozawa S, Takahashi S, Suzuki S, Sugawara H, Fukuyama H. Relationship of surface tension, oxygen partial pressure, and temperature for molten iron. Japanese Journal of Applied Physics, 2011, 50(11S): 11R05
[103]
Ozawa S, Takahashi S, Watanabe N, Fukuyama H. Influence of oxygen adsorption on surface tension of molten nickel measured under reducing gas atmosphere. International Journal of Thermophysics, 2014, 35(9–10): 1705–1711
CrossRef Google scholar
[104]
Aqra F, Ayyad A. Surface tension of pure liquid bismuth and its temperature dependence: theoretical calculations. Materials Letters, 2011, 65(4): 760–762
CrossRef Google scholar
[105]
Aqra F, Ayyad A. Theoretical temperature-dependence surface tension of pure liquid gold. Materials Letters, 2011, 65(14): 2124–2126
CrossRef Google scholar
[106]
Dubberstein T, Heller H P. Surface tension and density of liquid gold, silver, and tin. High Temperatures–High Pressures, 2015, 44(5): 393–406
[107]
Yakimovich K A, Mozgovoi A G. Experimental investigation of the density and surface tension of molten lithium at temperatures up to 1300 K. High Temperature, 2000, 38(4): 657–659
CrossRef Google scholar
[108]
Fima P, Nowak R, Sobczak N. Effect of metal purity and testing procedure on surface tension measurements of liquid tin. Journal of Materials Science, 2010, 45(8): 2009–2014
CrossRef Google scholar
[109]
Ricci E, Arato E, Passerone A, Costa P. Oxygen tensioactivity on liquid-metal drops. Advances in Colloid and Interface Science, 2005, 117(1–3): 15–32
CrossRef Google scholar
[110]
Fima P. Surface tension and density of liquid Sn–Ag alloys. Applied Surface Science, 2011, 257(8): 3265–3268
CrossRef Google scholar
[111]
Fima P. Surface tension and density of liquid Sn–Cu alloys. Applied Surface Science, 2010, 257(2): 468–471
CrossRef Google scholar
[112]
Aqra F, Ayyad A, Takrori F. Model calculation of the surface tension of liquid Ga–Bi alloy. Applied Surface Science, 2011, 257(8): 3577–3580
CrossRef Google scholar
[113]
Ricci E, Nanni L, Vizza M, Passerone A. Dynamic surface tension measurements of liquid metals in the presence of oxygen. In: International conference on high temperature capillarity HTC, Krakow, Poland: Foundry Research Institute,1997: 188–193
[114]
Ozawa S, Morohoshi K, Hibiya T, Fukuyama H. Influence of oxygen partial pressure on surface tension of molten silver. Journal of Applied Physics, 2010, 107(1): 014910
CrossRef Google scholar
[115]
Heiple C R. Mechanism for minor element effect on GTA fusion zone geometry. Welding Journal, 1982, 61(4): 97–102
[116]
Alchagirov B B, Dadashev R K, Dyshekova F F, Elimkhanov D Z. The surface tension of indium: methods and results of investigations. High Temperature, 2014, 52(6): 920–938
CrossRef Google scholar
[117]
Yuan Z F, Mukai K, Takagi K, Ohtaka M, Huang W L, Liu Q S. Surface tension and its temperature coefficient of molten tin determined with the sessile drop method at different oxygen partial pressures. Journal of Colloid and Interface Science, 2002, 254(2): 338–345
CrossRef Google scholar
[118]
Fiori L, Ricci E, Arato E. Dynamic surface tension measurements on molten metal-oxygen systems: model validation on molten tin. Acta Materialia, 2003, 51(10): 2873–2890
CrossRef Google scholar
[119]
Giuranno D, Ricci E, Arato E, Costa P. Dynamic surface tension measurements of an aluminium–oxygen system. Acta Materialia, 2006, 54(10): 2625–2630
CrossRef Google scholar
[120]
Ricci E, Lanata T, Giuranno D, Arato E. The effective oxidation pressure of indium-oxygen system. Journal of Materials Science, 2008, 43(9): 2971–2977
CrossRef Google scholar
[121]
Ricci E, Ratto M, Arato E, Costa P, Passerone A. A theoretical approach for the interpretation of liquid metal surface tension measurements in the presence of oxygen. Transactions of the Iron & Steel Institute of Japan, 2000, 40 (Suppl): S139–S143
CrossRef Google scholar
[122]
Ghetta V, Fouletier J, Chatain D. Oxygen adsorption isotherms at the surfaces of liquid Cu and Au-Cu alloys and their interfaces with Al2O3 detected by wetting experiments. Acta Materialia, 1996, 44(5): 1927–1936
CrossRef Google scholar
[123]
Yuan Z, Fan J, Li J, Ke J, Mukai K. Surface tension of molten bismuth at different oxygen partial pressure with the sessile drop method. Scandinavian Journal of Metallurgy, 2004, 33(6): 338–346
CrossRef Google scholar
[124]
Abbasi M, Lee J, Shin M, Kim Y, Kang Y. Effect of oxygen adsorption on surface tension of liquid copper: experiments and thermodynamic models. Applied Surface Science, 2014, 313: 116–122
CrossRef Google scholar
[125]
Kasama A, Mclean A, Miller W A, Morita Z, Ward M J. Surface tension of liquid iron and iron-oxygen alloys. Canadian Metallurgical Quarterly, 1983, 22(1): 9–17
CrossRef Google scholar
[126]
Morohoshi K, Uchikoshi M, Isshiki M, Fukuyama H. Surface tension of liquid iron as functions of oxygen activity and temperature. ISIJ International, 2011, 51(10): 1580–1586
CrossRef Google scholar
[127]
SanSoucieM P, Rogers J R, Kumar V, Rodriguez J, Xiao X, Matson D M. Effects of environmental oxygen content and dissolved oxygen on the surface tension and viscosity of liquid nickel. International Journal of Thermophysics, 2016, 37: 76
CrossRef Google scholar
[128]
Fiori L, Ricci E, Arato E, Costa P. Dynamic surface tension measurements on a molten metal-oxygen system: the behaviour of the temperature coefficient of the surface tension of molten tin. Journal of Materials Science, 2005, 40(9): 2155–2159
CrossRef Google scholar
[129]
Ricci E, Passerone A, Joud J C. Thermodynamic study of adsorption in liquid metal-oxygen systems. Surface Science, 1988, 206(3): 533–553
CrossRef Google scholar
[130]
Shebzukhova M A, Shebzukhov Z A, Shebzukhov A A. The Tolman parameter, self-absorption, and surface tension on flat and curved surfaces of liquid metals. Bulletin of the Russian Academy of Sciences. Physics, 2010, 74(5): 697–704
CrossRef Google scholar
[131]
Tolman R C. The effect of droplet size on surface tension. Journal of Chemical Physics, 1949, 17(3): 333–337
CrossRef Google scholar
[132]
Lu H M, Jiang Q. Size dependent surface energy and surface tension. In: IEEE Conference on Emerging Technologies-Nanoelectronics, Singapore: IEEE, 2006: 21–24
[133]
Shebzukhova M A, Shebzukhov A A. Surface energy and surface tension of liquid metal nanodrops. EPJ Web of Conferences. EDP Sciences, 2011, 15: 01027
[134]
Vinš V, Fransen M, Hykl J, Hrubý J. Surface tension of supercooled water determined by using a counterpressure capillary rise method. Journal of Physical Chemistry B, 2015, 119(17): 5567–5575
CrossRef Google scholar
[135]
Ghatee M H, Ghazipour H. Highly accurate liquid–liquid interfacial tension measurement by a convenient capillary apparatus. Fluid Phase Equilibria, 2014, 377: 76–81
CrossRef Google scholar
[136]
Luo R, Zhang D, Zeng Z, Lytton R L. Effect of surface tension on the measurement of surface energy components of asphalt binders using the Wilhelmy plate method. Construction & Building Materials, 2015, 98: 900–909
CrossRef Google scholar
[137]
Součková M, Klomfar J, Pátek J. Surface tension of 1-alkyl-3-methylimidazolium based ionic liquids with trifluoromethanesulfonate and tetrafluoroborate anion. Fluid Phase Equilibria, 2011, 303(2): 184–190
CrossRef Google scholar
[138]
Klomfar J, Součková M, Pátek J. Surface tension measurements with validated accuracy for four 1-alkyl-3-methylimidazolium based ionic liquids. Journal of Chemical Thermodynamics, 2010, 42(3): 323–329
CrossRef Google scholar
[139]
Alkindi A S, Alwahaibi Y M, Muggeridge A H. Physical properties (density, excess molar volume, viscosity, surface tension, and refractive index) of ethanol+ glycerol. Journal of Chemical & Engineering Data, 2008, 53(12): 2793–2796
CrossRef Google scholar
[140]
Fainerman V B, Miller R, Joos P. The measurement of dynamic surface tension by the maximum bubble pressure method. Colloid & Polymer Science, 1994, 272(6): 731–739
CrossRef Google scholar
[141]
Fainerman V B, Kazakov V N, Lylyk S V, Makievski A V, Miller R. Dynamic surface tension measurements of surfactant solutions using the maximum bubble pressure method — limits of applicability. Colloids and Surfaces A, Physicochemical and Engineering Aspects, 2004, 250(1–3): 97–102
CrossRef Google scholar
[142]
Sangiorgi R, Muolo M L, Chatain D, Eustathopoulos N. Wettability and work of adhesion of nonreactive liquid metals on silica. Journal of the American Ceramic Society, 1988, 71(9): 742–748
CrossRef Google scholar
[143]
Man K F. Surface tension measurements of liquid metals by the quasi-containerless pendant drop method. International Journal of Thermophysics, 2000, 21(3): 793–804
CrossRef Google scholar
[144]
Vinet B, Garandet J P, Cortella L. Surface tension measurements of refractory liquid metals by the pendant drop method under ultrahigh vacuum conditions: extension and comments on Tate’s law. Journal of Applied Physics, 1993, 73(8): 3830–3834
CrossRef Google scholar
[145]
Keene B J, Mills K C, Brooks R F. Surface properties of liquid metals and their effects on weldability. Materials Science and Technology, 1985, 1(7): 559–567
CrossRef Google scholar
[146]
Takiguchi H, Nagasaka Y. Development of near-infrared laser-induced capillary wave method to measure viscosity and surface tension. Transactions of the Japan Society of Mechanical Engineers, 2013, 79(800): 690–700
CrossRef Google scholar
[147]
Osada R, Hoshino T, Okada K, Ohmasa Y, Yao M. Surface tension of room temperature ionic liquids measured by dynamic light scattering. Journal of Chemical Physics, 2009, 130(18): 184705
CrossRef Google scholar
[148]
Korkmaz S D, Korkmaz Ş. Investigation of surface properties of liquid transition metals: surface tension and surface entropy. Applied Surface Science, 2010, 257(1): 261–265
CrossRef Google scholar
[149]
Bashforth F, Adams J C. An Attempt to Test the Theories of Capillary Action: by Comparing the Theoretical and Measured Forms of Drops of Fluid with an Explanation of the Method of Integration Employed in Constucting the Tables Which Give the Theoretical Forms of Such Drops. Cambridge: Cambridge University Press, 1883
[150]
Andreas J, Hauser E, Tucker W. Boundary tension by pendant drops 1. Journal of Physical Chemistry, 1938, 42(8): 1001–1019
CrossRef Google scholar
[151]
Schaefers K, Kuppermann G, Thiedemann U, Qin J, Frohberg M. A new variant for measuring the surface tension of liquid metals and alloys by the oscillating drop method. International Journal of Thermophysics, 1996, 17(5): 1173–1179
CrossRef Google scholar
[152]
Pichon E, Nain D. A Laplace equation approach for shape comparison. Proceedings of SPIE–The International Society for Optics and Photonics, 2006, 6141: 614119
[153]
Naidich J V. The wettability of solids by liquid metals. Progress in Surface & Membrane Science, 1981, 14: 353–484
CrossRef Google scholar
[154]
Lee J, Kiyose A, Nakatsuka S, Nakamoto M, Tanaka T. Improvements in surface tension measurements of liquid metals having low capillary constants by the constrained drop method. ISIJ International, 2004, 44(11): 1793–1799
CrossRef Google scholar
[155]
Plevachuk Y, Sklyarchuk V, Gerbeth G, Eckert S, Novakovic R. Surface tension and density of liquid Bi–Pb, Bi–Sn and Bi–Pb–Sn eutectic alloys. Surface Science, 2011, 605(11–12): 1034–1042
CrossRef Google scholar
[156]
Sobczak N, Nowak R, Radziwill W, Budzioch J, Glenz A. Experimental complex for investigations of high temperature capillarity phenomena. Materials Science and Engineering A, 2008, 495(12): 43–49
CrossRef Google scholar
[157]
Liggieri L, Passerone A. An automatic technique for measuring the surface tension of liquid metals. High Temperature Technology, 1989, 7(2): 82–86
CrossRef Google scholar
[158]
Maze C, Burnet G. A non-linear regression method for calculating surface tension and contact angle from the shape of a sessile drop. Surface Science, 1969, 13(2): 451–470
CrossRef Google scholar
[159]
Aune R, Seetharaman S, Battezzati L, Egry I, Schmidt-Hohagen F, Etay J, Fecht H J, Wunderlich R, Passerone A, Ricci E, Novakovic R, Giuranno D. Surface tension measurements of Al-Ni based alloys from ground-based and parabolic flight experiments: results from the ThermoLab project. Microgravity Science and Technology, 2006, 18: 73
CrossRef Google scholar
[160]
Egry I, Brooks R, Hollandmoritz D, Novakovic R, Matsushita T, Ricci E, Seetharaman S, Wunderlich R, Jarvis D. Thermophysical properties of γ-titanium aluminide: the European IMPRESS Project. International Journal of Thermophysics, 2007, 28(3): 1026–1036
CrossRef Google scholar
[161]
Kucharski M, Fima P, Skrzyniarz P, Przebinda-Stefanowa W. Surface tension and density of Cu-Ag, Cu-In and Ag-In alloys. Archives of Metallurgy and Materials, 2006, 51(3): 389–397
[162]
Plevachuk Y, Hoyer W, Kaban I, Köhler M, Novakovic R. Experimental study of density, surface tension, and contact angle of Sn-Sb-based alloys for high temperature soldering. Journal of Materials Science, 2010, 45(8): 2051–2056
CrossRef Google scholar
[163]
Lee J, Le T H, Shin M. Density and surface tension of liquid Fe-Mn alloys. Metallurgical and Materials Transactions B, Process Metallurgy and Materials Processing Science, 2011, 42(3): 546–549
CrossRef Google scholar
[164]
Brillo J, Plevachuk Y, Egry I. Surface tension of liquid Al–Cu–Ag ternary alloys. Journal of Materials Science, 2010, 45(19): 5150–5157
CrossRef Google scholar
[165]
Willner J, Siwiec G, Botor J. The surface tension of liquid Cu–Fe–Sb alloys. Applied Surface Science, 2010, 256(9): 2939–2943
CrossRef Google scholar
[166]
Guo Z, Hindler M, Yuan W, Mikula A. The density and surface tension of In–Sn and Cu–In–Sn alloys. Monatshefte für Chemie-Chemical Monthly, 2011, 142(6): 579–584
CrossRef Google scholar
[167]
Guo Z N, Li S, Mikula A, Yuan W X. Surface tension of liquid Au-Bi-Sn alloys. Rare Metals, 2012, 31(3): 250–254
CrossRef Google scholar
[168]
Chentsov V P, Shevchenko V G, Mozgovoi A G, Pokrasin M A. Density and surface tension of heavy liquid-metal coolants: Gallium and indium. Inorganic Materials: Applied Research, 2011, 2(5): 468–473
CrossRef Google scholar
[169]
Novakovic R, Ricci E, Giuranno D, Passerone A. Surface and transport properties of Ag–Cu liquid alloys. Surface Science, 2005, 576(1–3): 175–187
CrossRef Google scholar
[170]
Egry I, Hollandmoritz D, Novakovic R, Ricci E, Wunderlich R, Sobczak N. Thermophysical properties of liquid AlTi-based alloys. International Journal of Thermophysics, 2010, 31(4): 949–965
CrossRef Google scholar
[171]
Nowak R, Lanata T, Sobczak N, Ricci E, Giuranno D, Novakovic R, Hollandmoritz D, Egry I. Surface tension of γ-TiAl-based alloys. Journal of Materials Science, 2010, 45(8): 1993–2001
CrossRef Google scholar
[172]
Ricci E, Giuranno D, Sobczak N. Further development of testing procedures for high temperature surface tension measurements. Journal of Materials Engineering and Performance, 2013, 22(11): 3381–3388
CrossRef Google scholar
[173]
Amore S, Giuranno D, Novakovic R, Ricci E, Nowak R, Sobczak N. Thermodynamic and surface properties of liquid Ge-Si alloys. Calphad-computer Coupling of Phase Diagrams & Thermochemistry, 2014, 44(1): 95–101
CrossRef Google scholar
[174]
Okress E C, Wroughton D M, Comenetz G, Brace P H, Kelly J C R. Electromagnetic levitation of solid and molten metals. Journal of Applied Physics, 1952, 23(5): 545–552
CrossRef Google scholar
[175]
Fraser M E, Lu W K, Hamielec A E, Murarka R. Surface tension measurements on pure liquid iron and nickel by an oscillating drop technique. Metallurgical and Materials Transactions B, Process Metallurgy and Materials Processing Science, 1971, 2(3): 817–823
[176]
Murarka R, Lu W K, Hamielec A E. Surface tension of pure liquid and supercooled iron. Metallurgical and Materials Transactions B, Process Metallurgy and Materials Processing Science, 1971, 2(10): 2949–2950
[177]
Murarka R N, Lu W K, Hamielec A E. Effect of dissolved oxygen on the surface tension of liquid iron. Canadian Metallurgical Quarterly, 1975, 14(2): 111–115
CrossRef Google scholar
[178]
Egry I, Ricci E, Novakovic R, Ozawa S. Surface tension of liquid metals and alloys–recent developments. Advances in Colloid and Interface Science, 2010, 159(2): 198–212
CrossRef Google scholar
[179]
Brillo J, Lohöfer G, Schmidt-Hohagen F, Schneider S, Egry I. Thermophysical property measurements of liquid metals by electromagnetic levitation. International Journal of Materials & Product Technology, 2006, 26(3/4): 247–273
CrossRef Google scholar
[180]
Egry I, Lohoefer G, Jacobs G. Surface tension of liquid metals: results from measurements on ground and in space. Physical Review Letters, 1995, 75(22): 4043–4046
CrossRef Google scholar
[181]
Cummings D L, Blackburn D A. Oscillations of magnetically levitated aspherical droplets. Journal of Fluid Mechanics, 1991, 224: 395–416
CrossRef Google scholar
[182]
Brillo J, Egry I, Matsushita T. Density and surface tension of liquid ternary Ni-Cu-Fe alloys. International Journal of Thermophysics, 2006, 97(1): 28–34
[183]
Brillo J, Egry I. Surface tension of nickel, copper, iron and their binary alloys. Journal of Materials Science, 2005, 40(9): 2213–2216
CrossRef Google scholar
[184]
Egry I, Brillo J. Surface tension and density of liquid metallic alloys measured by electromagnetic levitation. Journal of Chemical & Engineering Data, 2009, 54(9): 2347–2352
CrossRef Google scholar
[185]
Schmitz J, Brillo J, Egry I. Surface tension of liquid Cu and anisotropy of its wetting of sapphire. Journal of Materials Science, 2010, 45(8): 2144–2149
CrossRef Google scholar
[186]
Brillo J, Kolland G. Surface tension of liquid Al-Au binary alloys. Journal of Materials Science, 2016, 51(10): 4888–4901
CrossRef Google scholar
[187]
Brillo J, Egry I, Westphal J. Density and thermal expansion of liquid binary Al-Ag and Al-Cu alloys. International Journal of Materials Research, 2008, 99(2): 162–167
CrossRef Google scholar
[188]
Brillo J, Lauletta G, Vaianella L, Arato E, Giuranno D, Novakovic R, Ricci E. Surface tension of liquid Ag–Cu binary alloys. Transactions of the Iron & Steel Institute of Japan, 2014, 54(9): 2115–2119
CrossRef Google scholar
[189]
Wunderlich R K, Fecht H J. Surface tension and viscosity of NiAl catalytic precursor alloys from microgravity experiments. International Journal of Materials Research, 2011, 102(9): 1164–1173
CrossRef Google scholar
[190]
Amore S, Brillo J, Egry I, Novakovic R. Surface tension of liquid Cu-Ti binary alloys measured by electromagnetic levitation and thermodynamic modelling. Applied Surface Science, 2011, 257(17): 7739–7745
CrossRef Google scholar
[191]
Zhou K, Wang H P, Chang J, Wei B. Surface tension measurement of metastable liquid Ti–Al–Nb alloys. Applied Physics A, Materials Science & Processing, 2011, 105(1): 211–214
CrossRef Google scholar
[192]
Chang J, Wang H P, Zhou K, Wei B. Surface tension measurement of undercooled liquid Ni-based multicomponent alloys. Philosophical Magazine Letters, 2012, 92(9): 428–435
CrossRef Google scholar
[193]
Egry I, Lohöfer G, Neuhaus P, Sauerland S. Surface tension measurements of liquid metals using levitation, microgravity, and image processing. International Journal of Thermophysics, 1992, 13(1): 65–74
CrossRef Google scholar
[194]
Egry I. Surface tension measurements of liquid metals by the oscillating drop technique. Journal of Materials Science, 1991, 26(11): 2997–3003
CrossRef Google scholar
[195]
Egry I, Lohoefer G, Schwartz E, Szekely J, Neuhaus P. Surface tension measurements on liquid metals in microgravity. Metallurgical and Materials Transactions B, Process Metallurgy and Materials Processing Science, 1998, 29(5): 1031–1035
CrossRef Google scholar
[196]
Ohnishi M, Nagasaka Y. Measurement of surface tension and viscosity of molten lithium niobate by the surface laser-light scattering method. High Temperatures—High Pressures, 2000, 32(1): 103–108
CrossRef Google scholar
[197]
Levich V G. Physicochemical Hydrodynamics. New Jersey: Prentice Hall, 1962
[198]
Nagasaka Y, Kobayashi Y. Effect of atmosphere on the surface tension and viscosity of molten LiNbO3 measured using the surface laser-light scattering method. Journal of Crystal Growth, 2007, 307(1): 51–58
CrossRef Google scholar
[199]
Wang F K, Yue H Y, Fan X W, Liu Z G. Surface tension and viscosity measurement with surface laser light scattering method. Thermal Science, 2013, 17(5): 1467–1471
CrossRef Google scholar
[200]
Ayyad A, Aqra F. Theoretical consideration of the anomalous temperature dependence of the surface tension of pure liquid gallium. Theoretical Chemistry Accounts, 2010, 127(5): 443–448
CrossRef Google scholar
[201]
Ayyad A, Mechdiev I, Freyland W. Light scattering study of surface freezing and surface viscoelasticity in a eutectic liquid Ga–Bi alloy. Chemical Physics Letters, 2002, 359(3–4): 326–330
CrossRef Google scholar
[202]
Minami Y. Surface tension measurement of liquid metal with inelastic light-scattering spectroscopy of a thermally excited capillary wave. Applied Physics B, Lasers and Optics, 2014, 117(3): 969–972
CrossRef Google scholar
[203]
Osada R, Hoshino T, Okada K, Ohmasa Y, Yao M. Surface tension of room temperature ionic liquids measured by dynamic light scattering. Journal of Chemical Physics, 2009, 130(18): 184705
CrossRef Google scholar
[204]
Kirby B J. Micro- and Nanoscale Fluid Mechanics: Transport in Microfluidic Devices. Cambridge: Cambridge University Press, 2010
[205]
Chang H C, Yeo L Y. Electrokinetically Driven Microfluidics and Nanofluidics. Cambridge: Cambridge University Press, 2010
[206]
Hong J S, Ko S H, Kang K H, Kang I S. A numerical investigation on AC electrowetting of a droplet. Microfluidics and Nanofluidics, 2008, 5(2): 263–271
CrossRef Google scholar
[207]
Berry S, Kedzierski J, Abedian B. Low voltage electrowetting using thin fluoroploymer films. Journal of Colloid and Interface Science, 2006, 303(2): 517–524
CrossRef Google scholar
[208]
Shamai R, Andelman D, Berge B, Hayes R. Water, electricity, and between … on electrowetting and its applications. Soft Matter, 2008, 4(1): 38–45
CrossRef Google scholar
[209]
Thomas D, Audry M C, Thibaut R M, Kleimann P, Chassagneux F, Maillard M, Brioude A. Charge injection in dielectric films during electrowetting actuation under direct current voltage. Thin Solid Films, 2015, 590: 224–229
CrossRef Google scholar
[210]
Klarman D, Andelman D, Urbakh M. A model of electrowetting, reversed electrowetting, and contact angle saturation. Langmuir, 2011, 27(10): 6031–6041
CrossRef Google scholar
[211]
Monroe C W, Daikhin L, Urbakh M, Kornyshev A. Electrowetting with an interface between two immiscible electrolytic solutions. In: 210th ECS Meeting. Cancun, Mexico: ECS, 2006: 43
[212]
Monroe C W, Daikhin L I, Urbakh M, Kornyshev A A. Electrowetting with electrolytes. Physical Review Letters, 2006, 97(13): 136102
CrossRef Google scholar
[213]
Jones T B, Fowler J D, Chang Y S, Kim C J. Frequency-based relationship of electrowetting and dielectrophoretic liquid microactuation. Langmuir, 2003, 19(18): 7646–7651
CrossRef Google scholar
[214]
Kang K H. How electrostatic fields change contact angle in electrowetting. Langmuir, 2002, 18(26): 10318–10322
CrossRef Google scholar
[215]
Mugele F, Baret J C. Electrowetting: from basics to applications. Journal of Physics Condensed Matter, 2005, 17(28): R705–R774
CrossRef Google scholar
[216]
Sedev R. Electrowetting: electrocapillarity, saturation, and dynamics. European Physical Journal. Special Topics, 2011, 197(1): 307–319
CrossRef Google scholar
[217]
Wang K L, Jones T B. Saturation effects in dynamic electrowetting. Applied Physics Letters, 2005, 86(5): 054104
CrossRef Google scholar
[218]
Shapiro B, Moon H, Garrell R L, Kim C J. Equilibrium behavior of sessile drops under surface tension, applied external fields, and material variations. Journal of Applied Physics, 2003, 93(9): 5794–5811
CrossRef Google scholar
[219]
Yang X H, Tan S C, Yuan B, Liu J. Alternating electric field actuated oscillating behavior of liquid metal and its application. Science China Technological Sciences, 2016, 59(4): 597–603
CrossRef Google scholar
[220]
Tan S C, Zhou Y X, Wang L, Liu J. Electrically driven chip cooling device using hybrid coolants of liquid metal and aqueous solution. Science China Technological Sciences, 2016, 59(2): 301–308
CrossRef Google scholar
[221]
Lee J, Moon H, Fowler J, Schoellhammer T, Kim C J. Electrowetting and electrowetting-on-dielectric for microscale liquid handling. Sensors and Actuators A: Physical, 2002, 95(2–3): 259–268
CrossRef Google scholar
[222]
Yun K S, Cho I J, Bu J U, Kim C J. A surface-tension driven micropump for low-voltage and low-power operations. Journal of Microelectromechanical Systems, 2002, 11(5): 454–461
CrossRef Google scholar
[223]
Lee J, Kim C J C. Liquid micromotor driven by continuous electrowetting. In: Proceedings of 11th Annual International Workshop on Micro Electro Mechanical Systems. Heidelberg, Germany: IEEE, 1998: 538–543
[224]
Lee H J, Kim C J. Surface-tension-driven microactuation based on continuous electrowetting. Journal of Microelectromechanical Systems, 2000, 9(2): 171–180
CrossRef Google scholar
[225]
Ni J, Zhong C J, Coldiron S J, Porter M D. Electrochemically actuated mercury pump for fluid flow and delivery. Analytical Chemistry, 2001, 73(1): 103–110
CrossRef Google scholar
[226]
Pollack M G, Fair R B, Shenderov A D. Electrowetting-based actuation of liquid droplets for microfluidic applications. Applied Physics Letters, 2000, 77(11): 1725–1726
CrossRef Google scholar
[227]
Yi U C, Kim C J. Characterization of electrowetting actuation on addressable single-side coplanar electrodes. Journal of Micromechanics and Microengineering, 2006, 16(10): 2053–2059
CrossRef Google scholar
[228]
Accardo A, Mecarini F, Leoncini M, Brandi F, Di Cola E, Burghammer M, Riekel C, Di Fabrizio E. Fast, active droplet interaction: coalescence and reactive mixing controlled by electrowetting on a superhydrophobic surface. Lab on a Chip, 2013, 13(3): 332–335
CrossRef Google scholar
[229]
Krupenkin T, Taylor J A. Reverse electrowetting as a new approach to high-power energy harvesting. Nature Communications, 2011, 2: 448
CrossRef Google scholar
[230]
Moon J K, Jeong J, Lee D, Pak H K. Electrical power generation by mechanically modulating electrical double layers. Nature Communications, 2013, 4: 1487
CrossRef Google scholar
[231]
Thramann J. Generation of electrical energy in a ski or snowboard. US Patent No. 9024462, 2015
[232]
Berge B, Peseux J. Variable focal lens controlled by an external voltage: an application of electrowetting. European Physical Journal E, 2000, 3(2): 159–163
CrossRef Google scholar
[233]
Kuiper S, Hendriks B H W. Variable-focus liquid lens for miniature cameras. Applied Physics Letters, 2004, 85(7): 1128–1130
CrossRef Google scholar
[234]
Hayes R A, Feenstra B J. Video-speed electronic paper based on electrowetting. Nature, 2003, 425(6956): 383–385
CrossRef Google scholar
[235]
You H, Steckl A J. Three-color electrowetting display device for electronic paper. Applied Physics Letters, 2010, 97(2): 023514
CrossRef Google scholar
[236]
Feenstra B J, Hayes R A, Van Dijk R, Boom R G H. Electrowetting-based displays: bringing microfluidics alive on-screen. In:19th IEEE International Conference on Micro Electro Mechanical Systems. Istanbul, Turkey: IEEE, 2006: 48–53
[237]
Fair R B, Khlystov A, Tailor T D, Ivanov V, Evans R D, Srinivasan V, Pamula V K, Pollack M G, Griffin P B, Zhou J. Chemical and biological applications of digital-microfluidic devices. IEEE Design & Test of Computers, 2007, 24(1): 10–24
CrossRef Google scholar
[238]
Cho S K, Moon H, Kim C J. Creating, transporting, cutting, and merging liquid droplets by electrowetting-based actuation for digital microfluidic circuits. Journal of Microelectromechanical Systems, 2003, 12(1): 70–80
CrossRef Google scholar
[239]
Yu Y, Wang Q, Yi L, Liu J. Channelless fabrication for large-scale preparation of room temperature liquid metal droplets. Advanced Engineering Materials, 2014, 16(2): 255–262
CrossRef Google scholar
[240]
Sheng L, He Z Z, Yao Y Y, Liu J. Transient state machine enabled from the colliding and coalescence of a swarm of autonomously running liquid metal motors. Small, 2015, 11(39): 5253–5261
CrossRef Google scholar
[241]
Gao W, Pei A, Wang J. Water-driven micromotors. ACS Nano, 2012, 6(9): 8432–8438
CrossRef Google scholar
[242]
Yuan B, Wang L, Yang X H, Ding Y J, Tan S C, Yi L T, He Z Z, Liu J. Liquid metal machine triggered violin-like wire oscillator. 2016, 3(10): 1600212
[243]
Monroe C W, Daikhin L I, Urbakh M, Kornyshev A A. Principles of electrowetting with two immiscible electrolytic solutions. Journal of Physics Condensed Matter, 2006, 18(10): 2837–2869
CrossRef Google scholar
[244]
Grahame D C. The electrical double layer and the theory of electrocapillarity. Chemical Reviews, 1947, 41(3): 441–501
CrossRef Google scholar
[245]
Kornyshev A A, Kucernak A R, Marinescu M, Monroe C W, Sleightholme A E S, Urbakh M. Ultra-low-voltage electrowetting. Journal of Physical Chemistry C, 2010, 114(35): 14885–14890
CrossRef Google scholar
[246]
Yao Y Y, Liu J. Liquid metal wheeled small vehicle for cargo delivery. Royal Scoiety of Chemistry Advances, 2016, 6: 56482–56488
[247]
Yuan B, Tan S C, Zhou Y X, Liu J. Self-powered macroscopic Brownian motion of spontaneously running liquid metal motors. Chinese Science Bulletin, 2015, 60(13): 1203–1210
[248]
Fang W Q, He Z Z, Liu J. Electro-hydrodynamic shooting phenomenon of liquid metal stream. Applied Physics Letters, 2014, 105(13): 134104
CrossRef Google scholar
[249]
Tang S Y, Lin Y, Joshipura I D, Khoshmanesh K, Dickey M D. Steering liquid metal flow in microchannels using low voltages. Lab on a Chip, 2015, 15(19): 3905–3911
CrossRef Google scholar
[250]
Tang S Y, Sivan V, Khoshmanesh K, O’mullane A P, Tang X, Gol B, Eshtiaghi N, Lieder F, Petersen P, Mitchell A, Kalantar-zadeh K. Electrochemically induced actuation of liquid metal marbles. Nanoscale, 2013, 5(13): 5949–5957
CrossRef Google scholar
[251]
Chrimes A F, Berean K J, Mitchell A, Rosengarten G, Kalantar-Zadeh K. Controlled electrochemical deformation of liquid-phase gallium. ACS Applied Materials & Interfaces, 2016, 8(6): 3833–3839
CrossRef Google scholar
[252]
Sheng L, Zhang J, Liu J. Diverse transformations of liquid metals between different morphologies. Advanced Materials, 2014, 26(34): 6036–6042
CrossRef Google scholar
[253]
Wang L, Liu J. Liquid metal folding patterns induced by electric capillary force. Applied Physics Letters, 2016, 108(16): 161602
CrossRef Google scholar
[254]
Mohammed M, Sundaresan R, Dickey M D. Self-running liquid metal drops that delaminate metal films at record velocities. ACS Applied Materials & Interfaces, 2015, 7(41): 23163–23171
CrossRef Google scholar
[255]
Hirsch A, Michaud H O, Gerratt A P, De Mulatier S V, Lacour S P. Intrinsically stretchable biphasic (solid–liquid) thin metal films. Advanced Materials, 2016, 28(22): 4507–4512
CrossRef Google scholar
[256]
Zheng Y, He Z Z, Yang J, Liu J. Personal electronics printing via tapping mode composite liquid metal ink delivery and adhesion mechanism. Scientific Reports, 2014, 4: 4588
CrossRef Google scholar
[257]
Zheng Y, He Z Z, Gao Y X, Liu J. Direct desktop printed-circuits-on-paper flexible electronics. Scientific Reports, 2013, 3: 1786
CrossRef Google scholar
[258]
Wang Q, Yu Y, Yang J, Liu J. Fast fabrication of flexible functional circuits based on liquid metal dual-trans printing. Advanced Materials, 2015, 27(44): 7109–7116
CrossRef Google scholar
[259]
Zheng Y, Zhang Q, Liu J. Pervasive liquid metal based direct writing electronics with roller-ball pen. AIP Advances, 2013, 3(11): 112117
CrossRef Google scholar
[260]
Gao Y X, Li H Y, Liu J. Direct writing of flexible electronics through room temperature liquid metal ink. PLoS One, 2012, 7(9): e45485
CrossRef Google scholar
[261]
Yu Y, Zhang J, Liu J. Biomedical implementation of liquid metal ink as drawable ECG electrode and skin circuit. PLoS One, 2013, 8(3): e58771
CrossRef Google scholar
[262]
Guo C R, Yu Y, Liu J. Rapidly patterning conductive components on skin substrates as physiological testing devices via liquid metal spraying and pre-designed mask. Journal of Materials Chemistry B, Materials for Biology and Medicine, 2014, 2(35): 5739–5745
CrossRef Google scholar
[263]
Zrnic D, Swatik D. On the resistivity and surface tension of the eutectic alloy of gallium and indium. Journal of the Less Common Metals, 1969, 18(1): 67–68
CrossRef Google scholar
[264]
Dickey M D, Chiechi R C, Larsen R J, Weiss E A, Weitz D A, Whitesides G M. Eutectic gallium-indium (EGaIn): a liquid metal alloy for the formation of stable structures in microchannels at room temperature. Advanced Functional Materials, 2008, 18(7): 1097–1104
CrossRef Google scholar
[265]
Boley J W, White E L, Chiu G T C, Kramer R K. Direct writing of gallium-indium alloy for stretchable electronics. Advanced Functional Materials, 2014, 24(23): 3501–3507
CrossRef Google scholar
[266]
Xu Q, Oudalov N, Guo Q, Jaeger H M, Brown E. Effect of oxidation on the mechanical properties of liquid gallium and eutectic gallium-indium. Physics of Fluids, 2012, 24(6): 063101
CrossRef Google scholar
[267]
Larsen R J, Dickey M D, Whitesides G M, Weitz D A. Viscoelastic properties of oxide-coated liquid metals. Journal of Rheology (New York, N.Y.), 2009, 53(6): 1305–1326
CrossRef Google scholar
[268]
Jin C, Zhang J, Li X K, Yang X Y, Li J J, Liu J. Injectable 3-D fabrication of medical electronics at the target biological tissues. Scientific Reports, 2013, 3: 3442
CrossRef Google scholar
[269]
Zhang J, Sheng L, Liu J. Synthetically chemical-electrical mechanism for controlling large scale reversible deformation of liquid metal objects. Scientific Reports, 2014, 4: 7116
CrossRef Google scholar
[270]
Gough R C, Dang J H, Moorefield M R, Zhang G B, Hihara L H, Shiroma W A, Ohta A T. Self-actuation of liquid metal via redox reaction. ACS Applied Materials & Interfaces, 2016, 8(1): 6–10
CrossRef Google scholar
[271]
Shen W, Edwards R T, Kim C J. Electrostatically actuated metal-droplet microswitches integrated on CMOS chip. Journal of Microelectromechanical Systems, 2006, 15(4): 879–889
CrossRef Google scholar
[272]
Hammock M L, Chortos A, Tee B C K, Tok J B H, Bao Z. 25th anniversary article: the evolution of electronic skin (E-Skin): a brief history, design considerations, and recent progress. Advanced Materials, 2013, 25(42): 5997–6038
CrossRef Google scholar
[273]
Park Y L, Chen B R, Wood R J. Design and fabrication of soft artificial skin using embedded microchannels and liquid conductors. IEEE Sensors Journal, 2012, 12(8): 2711–2718
CrossRef Google scholar
[274]
Kramer R K, Majidi C, Wood R J. Wearable tactile keypad with stretchable artificial skin. In: IEEE International Conference on Robotics & Automation, IEEE, 2011: 1103–1107
[275]
Bauer S, Bauer-Gogonea S, Graz I, Kaltenbrunner M, Keplinger C, Schwödiauer R. 25th anniversary article: a soft future: from robots and sensor skin to energy harvesters. Advanced Materials, 2014, 26(1): 149–162
CrossRef Google scholar
[276]
Hu L, Wang L, Ding Y J, Zhan S H, Liu J. Manipulation of liquid metals on a graphite surface. Advanced Materials, 2016, 28(41): 9210–9217
CrossRef Google scholar

Acknowledgment

This work is partially supported by the Ministry of Education Equipment Development Fund, Dean’s Research Funding and the Frontier Project of the Chinese Academy of Sciences, as well as Beijing Municipal Science (Grant No. Z151100003715002).

RIGHTS & PERMISSIONS

2017 Higher Education Press and Springer-Verlag GmbH Germany
AI Summary AI Mindmap
PDF(1591 KB)

Accesses

Citations

Detail

Sections
Recommended

/