Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Yule A. J. and Al – Suleimani Y. 2000On droplet formation from capillary waves on a vibrating surfaceProc. R. Soc. Lond. A.4561069–1085http://doi.org/10.1098/rspa.2000.0551SectionRestricted accessResearch articleOn droplet formation from capillary waves on a vibrating surface A. J. Yule A. J. Yule Atomization and Sprays Research Group, Department of Mechanical Engineering, University of Manchester Institute of Science and Technology, Manchester M60 1QD, UK Google Scholar Find this author on PubMed Search for more papers by this author and Y. Al – Suleimani Y. Al – Suleimani Atomization and Sprays Research Group, Department of Mechanical Engineering, University of Manchester Institute of Science and Technology, Manchester M60 1QD, UK Google Scholar Find this author on PubMed Search for more papers by this author A. J. Yule A. J. Yule Atomization and Sprays Research Group, Department of Mechanical Engineering, University of Manchester Institute of Science and Technology, Manchester M60 1QD, UK Google Scholar Find this author on PubMed Search for more papers by this author and Y. Al – Suleimani Y. Al – Suleimani Atomization and Sprays Research Group, Department of Mechanical Engineering, University of Manchester Institute of Science and Technology, Manchester M60 1QD, UK Google Scholar Find this author on PubMed Search for more papers by this author Published:08 May 2000https://doi.org/10.1098/rspa.2000.0551AbstractThe formation of sprays from a liquid film on a vibrating surface is used by ultrasonic atomizers for applications ranging from humidification to metal–powder manufacturing. The received opinion in the literature is that droplets are formed periodically from the apexes of an orderly pattern of standing capillary waves, with a wavelength that can be related to vibration frequency by stability analysis. It is described how this assumption may be incorrect in that, after droplet formation commences, the orderliness of the standing–wave pattern is lost due to one or more secondary instability phenomena. These phenomena, which lead to disorderliness, are investigated by using high–speed imaging techniques and a low–frequency vibrating film to model the high–frequency case, because of the difficulty of penetrating clouds of small droplets in the latter case. Different modes of droplet formation are identified and the flow patterns responsible for these modes are discussed. Physical mechanisms are proposed from which it is deduced that only a proportion of standing–wave crests can eject droplets, for a given wall–vibration period, and the identity of these ejecting waves should vary from period to period. The model thus developed demonstrates an apparently random ejection of droplets from one wave cell, even though the model itself is deterministic. The disorder of the capillary waves and the occurrence of several droplet–formation routes are sufficient to explain the range of droplet sizes that is produced by ultrasonic atomization. Previous ArticleNext Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Yuan S, Zhang Y and Gao Y (2022) Faraday wave instability characteristics of a single droplet in ultrasonic atomization and the sub-droplet generation mechanism, Experimental Thermal and Fluid Science, 10.1016/j.expthermflusci.2022.110618, 134, (110618), Online publication date: 1-Jun-2022. Qu S, Meng F, Chen L, Ma Z, Wang Z, Li M, Yu T and Zhao J (2022) Parameter optimization of ultrasonic vibration polishing K9 optical glass based on ultrasonic atomization, Ceramics International, 10.1016/j.ceramint.2022.03.269, 48:14, (19944-19953), Online publication date: 1-Jul-2022. Sarı G, Aydın Y, Bilekli Ü and Göl M (2021) Dynamics of liquid drop on a vibrating micro-perforated plate, Zeitschrift für Naturforschung A, 10.1515/zna-2020-0110, 76:4, (305-314), Online publication date: 27-Apr-2021., Online publication date: 1-Apr-2021. Manafi A, MirMoghtadaei G and Falamaki C (2021) Aerosol Assisted Chemical Vapor Deposition of Mn(acac)2 for MnOx/(Clay-Bonded SiC) Catalyst Synthesis for Propane-SCR of NOx, Russian Journal of Inorganic Chemistry, 10.1134/S0036023621050107, 66:5, (684-695), Online publication date: 1-May-2021. Li W, Bi X, Luo M and Sui P (2021) Numerical Investigations on the Ultrasonic Atomization of Catalyst Inks for Proton Exchange Membrane Fuel Cells, Journal of The Electrochemical Society, 10.1149/1945-7111/abe725, 168:3, (034502), Online publication date: 1-Mar-2021. Foucaud S and Leconte Y (2021) Ultrasonic Sprayed Aerosol for Ultrafine Ceramic Powder Synthesis Encyclopedia of Materials: Technical Ceramics and Glasses, 10.1016/B978-0-12-803581-8.12079-X, (69-82), . Balasubramani N, Wang G, StJohn D and Dargusch M (2021) Mechanisms of the Origin of Fine and Non-Dendritic Grains at the Sonotrode–Liquid Metal Interface During Ultrasonic Solidification of Metals, Metallurgical and Materials Transactions A, 10.1007/s11661-021-06264-y, 52:6, (2676-2688), Online publication date: 1-Jun-2021. Lee S, Hyun Y, Lee K, Lee J and Chung S (2020) Self-Cleaning Drop Free Glass Operated by Acoustic Atomization/Oscillation for Autonomous Driving and IoT Technology 2020 IEEE 33rd International Conference on Micro Electro Mechanical Systems (MEMS), 10.1109/MEMS46641.2020.9056111, 978-1-7281-3581-6, (36-37) Dupuis E, Momen A, Patel V and Shahab S (2020) Coupling of electroelastic dynamics and direct contact ultrasonic drying formulation for annular piezoelectric bimorph transducers, Smart Materials and Structures, 10.1088/1361-665X/ab79b8, 29:4, (045027), Online publication date: 1-Apr-2020. Dumka P, Jain A and Mishra D (2020) Energy, exergy, and economic analysis of single slope conventional solar still augmented with an ultrasonic fogger and a cotton cloth, Journal of Energy Storage, 10.1016/j.est.2020.101541, 30, (101541), Online publication date: 1-Aug-2020. Huang Q, Hu H, Lei Y, Han J, Zhang P and Dong J (2020) Simulation and experimental investigation of surface acoustic wave streaming velocity, Japanese Journal of Applied Physics, 10.35848/1347-4065/ab8d4d, 59:6, (064001), Online publication date: 1-Jun-2020. Matsuura H, Furukawa H, Tanikawa T and Hashimoto H (2019) Performance of five ultrasonic transducers modified for efficient atomization, The Journal of the Acoustical Society of America, 10.1121/1.5118241, 146:1, (626-639), Online publication date: 1-Jul-2019. Matsuura H, Tanikawa T, Furukawa H and Hashimoto H (2019) Efficient atomization method using a rectangular electrode on an ultrasonic transducer, Japanese Journal of Applied Physics, 10.7567/1347-4065/ab13cd, 58:5, (050911), Online publication date: 1-May-2019. Liu F, Kang N, Li Y and Wu Q (2019) Experimental investigation on the atomization of a spherical droplet induced by Faraday instability, Experimental Thermal and Fluid Science, 10.1016/j.expthermflusci.2018.09.016, 100, (311-318), Online publication date: 1-Jan-2019. Hua Y, Liu F, Li Y, Kang N and Wu H (2019) Experimental and numerical study on the effect of dimensionless parameters on the characteristics of droplet atomization caused by periodic inertial force, Fuel, 10.1016/j.fuel.2019.05.083, 253, (941-949), Online publication date: 1-Oct-2019. Dupuis E, Momen A, Patel V and Shahab S (2019) Electroelastic investigation of drying rate in the direct contact ultrasonic fabric dewatering process, Applied Energy, 10.1016/j.apenergy.2018.10.100, 235, (451-462), Online publication date: 1-Feb-2019. Muñoz M, Goutier S, Foucaud S, Mariaux G and Poirier T (2018) Droplet size prediction in ultrasonic nebulization for non-oxide ceramic powder synthesis, Ultrasonics, 10.1016/j.ultras.2017.10.001, 84, (25-33), Online publication date: 1-Mar-2018. Aleksandrov V, Kopysov S and Tonkov L (2017) Jet formation at interaction of a vibrating plate with liquid, IOP Conference Series: Materials Science and Engineering, 10.1088/1757-899X/208/1/012001, 208, (012001), Online publication date: 1-Jun-2017. Mao X, Zhang L, Zhao Z and Lin F (2017) Generation of droplets via oscillations of a tapered capillary tube filled with low-viscosity liquids, Physics of Fluids, 10.1063/1.4986263, 29:6, (067104), Online publication date: 1-Jun-2017. Ostasevicius V, Janusas G, Palevicius A, Gaidys R and Jurenas V (2017) Microsystems for the Effective Technological Processes Biomechanical Microsystems, 10.1007/978-3-319-54849-4_5, (211-282), . Kihara Y, Asami H and Kohno J (2017) Evaporation and Subsequent Adsorption of Alcohol Molecules at Aqueous Droplet Surface Observed by Cavity-Enhanced Raman Spectroscopy, The Journal of Physical Chemistry B, 10.1021/acs.jpcb.7b01277, 121:17, (4538-4543), Online publication date: 4-May-2017. Yao Y (2016) Research and applications of ultrasound in HVAC field: A review, Renewable and Sustainable Energy Reviews, 10.1016/j.rser.2015.12.222, 58, (52-68), Online publication date: 1-May-2016. Schade C and Dunkley J (2015) Atomization Powder Metallurgy, 10.31399/asm.hb.v07.a0006084, (58-71) Zabihi F and Eslamian M (2015) Substrate vibration-assisted spray coating (SVASC): significant improvement in nano-structure, uniformity, and conductivity of PEDOT:PSS thin films for organic solar cells, Journal of Coatings Technology and Research, 10.1007/s11998-015-9682-3, 12:4, (711-719), Online publication date: 1-Jul-2015. Tsai C, Mao R, Lin S, Tsai S, Boss G, Brenner M, Smaldone G, Mahon S, Shahverdi K and Zhu Y (2015) Ultrasound-driven Megahertz Faraday Waves for Generation of Monodisperse Micro Droplets and Applications, Physics Procedia, 10.1016/j.phpro.2015.08.179, 70, (872-875), . Li J, Mittal N, Mak S, Song Y and Shum H (2015) Perturbation-induced droplets for manipulating droplet structure and configuration in microfluidics, Journal of Micromechanics and Microengineering, 10.1088/0960-1317/25/8/084009, 25:8, (084009), Online publication date: 1-Aug-2015. Tsai C, Mao R, Lin S, Zhu Y and Tsai S (2014) Faraday instability-based micro droplet ejection for inhalation drug delivery, TECHNOLOGY, 10.1142/S233954781450006X, 02:01, (75-81), Online publication date: 1-Mar-2014. Li Y and Umemura A (2014) Two-dimensional numerical investigation on the dynamics of ligament formation by Faraday instability, International Journal of Multiphase Flow, 10.1016/j.ijmultiphaseflow.2013.12.002, 60, (64-75), Online publication date: 1-Apr-2014. Hong Z, Yan N, Geng D and Wei B (2014) Surface wave patterns on acoustically levitated viscous liquid alloys, Applied Physics Letters, 10.1063/1.4871998, 104:15, (154102), Online publication date: 14-Apr-2014. Mwakikunga B (2013) Progress in Ultrasonic Spray Pyrolysis for Condensed Matter Sciences Developed From Ultrasonic Nebulization Theories Since Michael Faraday, Critical Reviews in Solid State and Materials Sciences, 10.1080/10408436.2012.687359, 39:1, (46-80), Online publication date: 1-Jan-2014. Li Y and Umemura A (2014) Threshold condition for spray formation by Faraday instability, Journal of Fluid Mechanics, 10.1017/jfm.2014.569, 759, (73-103), Online publication date: 25-Nov-2014. Kovivchak V, Panova T and Mikhailov K (2014) Formation of regular structures on the surface of metals under the effect of a high-power ion beam of nanosecond duration, Russian Journal of Non-Ferrous Metals, 10.3103/S1067821213060138, 54:6, (537-540), Online publication date: 1-Nov-2013. Friend J, Tan H, Reißenweber M, Krempel S and Lindner G (2013) High-speed camera observation of multi-component droplet coagulation in an ultrasonic standing wave field SPIE Micro+Nano Materials, Devices, and Applications, 10.1117/12.2033692, , (89234K), Online publication date: 7-Dec-2013. Santos Abreu A, Knoll M, Moosburger-Will J, Konrad A, Tidecks R and Horn S (2013) Alumina and Yttria Powder and Yttria Coatings Made by Ultrasonic Spray Pyrolysis, Chemical Vapor Deposition, 10.1002/cvde.201206994, 19:1-3, (15-21), Online publication date: 1-Mar-2013. Tsai C, Mao R, Lin S, Zhu Y, Tsai S, Brenner M, Mahon S, Mukai D and Boss G (2013) Pocket-sized ultrasonic nebulizer for inhalation drug delivery 2013 IEEE International Ultrasonics Symposium (IUS), 10.1109/ULTSYM.2013.0304, 978-1-4673-5686-2, (1190-1192) Narijauskaite B, Palevicius A, Narmontas P, Ragulskis M and Janusas G (2011) High-Frequency Excitation for Thermal Imprint of Microstructures Into a Polymer, Experimental Techniques, 10.1111/j.1747-1567.2011.00724.x, 37:5, (41-47), Online publication date: 1-Sep-2013. Sung C, Bai C, Chen J and Chang S (2013) Controllable fuel cell humidification by ultrasonic atomization, Journal of Power Sources, 10.1016/j.jpowsour.2013.03.076, 239, (151-156), Online publication date: 1-Oct-2013. Collins D, Manor O, Winkler A, Schmidt H, Friend J and Yeo L (2012) Atomization off thin water films generated by high-frequency substrate wave vibrations, Physical Review E, 10.1103/PhysRevE.86.056312, 86:5 Tsai S, Lin S, Mao R and Tsai C (2012) Ejection of Uniform Micrometer-Sized Droplets from Faraday Waves on a Millimeter-Sized Water Drop, Physical Review Letters, 10.1103/PhysRevLett.108.154501, 108:15 Tuziuti T (2012) Mist Separation and Sonochemiluminescence under Pulsed Ultrasound, The Journal of Physical Chemistry A, 10.1021/jp301205q, 116:14, (3593-3597), Online publication date: 12-Apr-2012. Tsai C, Lin S, Mao R and Tsai S (2012) Micrometer-sized droplet ejection from a millimeter-sized spherical water drop using a megahertz multiple-fourier horn ultrasonic nozzle 2012 IEEE International Ultrasonics Symposium, 10.1109/ULTSYM.2012.0505, 978-1-4673-4562-0, (2019-2022) Song Y, Cheng C, Chang L, Lee C and Chou Y (2012) Novel device to measure critical point “Onset” of capillary wave and interpretation of Faraday instability wave by numerical analysis, Ultrasonics, 10.1016/j.ultras.2011.06.010, 52:1, (54-61), Online publication date: 1-Jan-2012. Yasuda K, Honma H, Xu Z, Asakura Y and Koda S (2011) Ultrasonic Atomization Amount for Different Frequencies, Japanese Journal of Applied Physics, 10.1143/JJAP.50.07HE23, 50:7, (07HE23) Yasuda K, Honma H, Xu Z, Asakura Y and Koda S (2013) Ultrasonic Atomization Amount for Different Frequencies, Japanese Journal of Applied Physics, 10.7567/JJAP.50.07HE23, 50:7S, (07HE23), Online publication date: 1-Jul-2011. Tsai C, Mao R, Lin S, Chien E and Tsai S (2011) MEMS-based multiple fourier-horn silicon ultrasonic atomizer for inhalation drug delivery 2011 IEEE International Ultrasonics Symposium (IUS), 10.1109/ULTSYM.2011.0275, 978-1-4577-1252-4, (1119-1122) Wisutmethangoon S, Plookphol T and Sungkhaphaitoon P (2011) Production of SAC305 powder by ultrasonic atomization, Powder Technology, 10.1016/j.powtec.2011.02.016, 209:1-3, (105-111), Online publication date: 1-May-2011. Kirpalani D and Suzuki K (2011) Ethanol enrichment from ethanol–water mixtures using high frequency ultrasonic atomization, Ultrasonics Sonochemistry, 10.1016/j.ultsonch.2010.05.013, 18:5, (1012-1017), Online publication date: 1-Sep-2011. Yeo L, Friend J, McIntosh M, Meeusen E and Morton D (2010) Ultrasonic nebulization platforms for pulmonary drug delivery, Expert Opinion on Drug Delivery, 10.1517/17425247.2010.485608, 7:6, (663-679), Online publication date: 1-Jun-2010. Song W and Shumlak U (2010) Ultrasonically Aided Electrospray Source for Charged Particles Approaching Monodisperse Distributions, Journal of Propulsion and Power, 10.2514/1.44257, 26:2, (353-363), Online publication date: 1-Mar-2010. Kovivchak V, Panova T and Mikhailov K (2010) Surface structuring of polycrystalline magnesium under the action of high-power ion beam of nanosecond duration, Technical Physics Letters, 10.1134/S1063785010120084, 36:12, (1092-1094), Online publication date: 1-Dec-2010. Tsai C, Mao R, Lin S, Wang N and Tsai S (2010) Miniaturized multiple Fourier-horn ultrasonic droplet generators for biomedical applications, Lab on a Chip, 10.1039/c005262k, 10:20, (2733), . Aisha Qi , Friend J and Yeo L (2009) Investigation of SAW atomization 2009 IEEE International Ultrasonics Symposium, 10.1109/ULTSYM.2009.5441556, 978-1-4244-4389-5, (787-790) KODAMA T, TOMITA Y, WATANABE Y, KOSHIYAMA K, YANO T and FUJIKAWA S (2009) Cavitation Bubbles Mediated Molecular Delivery During Sonoporation, Journal of Biomechanical Science and Engineering, 10.1299/jbse.4.124, 4:1, (124-140), . PUTHENVEETTIL B and HOPFINGER E (2009) Evolution and breaking of parametrically forced capillary waves in a circular cylinder, Journal of Fluid Mechanics, 10.1017/S0022112009007162, 633, (355-379), Online publication date: 25-Aug-2009. Neikov O (2009) Atomization and Granulation Handbook of Non-Ferrous Metal Powders, 10.1016/B978-1-85617-422-0.00005-7, (102-142), . Tsai S, Cheng C, Ning Wang , Song Y, Lee C and Tsai C Silicon-based megahertz ultrasonic nozzles for production of monodisperse micrometer-sized droplets, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 10.1109/TUFFC.2009.1273, 56:9, (1968-1979) Ju J, Yamagata Y, Ohmori H and Higuchi T (2008) Standing wave type surface acoustic wave atomizer, Sensors and Actuators A: Physical, 10.1016/j.sna.2008.03.018, 147:2, (570-575), Online publication date: 1-Oct-2008. Eggers J and Villermaux E (2008) Physics of liquid jets, Reports on Progress in Physics, 10.1088/0034-4885/71/3/036601, 71:3, (036601), Online publication date: 1-Mar-2008. Qi A, Yeo L and Friend J (2008) Interfacial destabilization and atomization driven by surface acoustic waves, Physics of Fluids, 10.1063/1.2953537, 20:7, (074103), Online publication date: 1-Jul-2008. Vukasinovic B, Smith M and Glezer A (2007) Mechanisms of free-surface breakup in vibration-induced liquid atomization, Physics of Fluids, 10.1063/1.2434799, 19:1, (012104), Online publication date: 1-Jan-2007. Mahurin S and Cheng M (2009) Generating nanoscale aggregates from colloidal nanoparticles by various aerosol spray techniques, Nanotoxicology, 10.1080/17435390701423760, 1:2, (130-138), Online publication date: 1-Jan-2007. Kawase Y, Masuya T, Yasuda K and Nakamura M (2006) Effect of Flow Mode of Carrier Gas on Performance of Ultrasonic Atomization, JOURNAL OF CHEMICAL ENGINEERING OF JAPAN, 10.1252/jcej.39.842, 39:8, (842-845), . Kawase Y, Masuya T, Yasuda K and Nakamura M (2006) Effects of Operation Conditions on the Performance of a Concentrator Using Ultrasonic Atomization, JOURNAL OF CHEMICAL ENGINEERING OF JAPAN, 10.1252/jcej.39.334, 39:3, (334-339), . Vukasinovic B, Smith M and Glezer A (2004) Spray characterization during vibration-induced drop atomization, Physics of Fluids, 10.1063/1.1632907, 16:2, (306-316), Online publication date: 1-Feb-2004. Nasr G, Yule A and Bendig L (2002) Background on Sprays and Their Production Industrial Sprays and Atomization, 10.1007/978-1-4471-3816-7_2, (7-33), . Wilkes E and Basaran O (2001) Drop Ejection from an Oscillating Rod, Journal of Colloid and Interface Science, 10.1006/jcis.2001.7729, 242:1, (180-201), Online publication date: 1-Oct-2001. Zhang Q and Shi J (2021) Preparation of Sub-Micron Bi Alloy Powers with the Ultrasonic Mixed Crushing, Materials Science Forum, 10.4028/www.scientific.net/MSF.1035.217, 1035, (217-226) Tsai C, Mao R, Tsai S, Shahverdi K, Zhu Y, Lin S, Hsu Y, Boss G, Brenner M, Mahon S and Smaldone G (2017) Faraday Waves-Based Integrated Ultrasonic Micro-Droplet Generator and Applications, Micromachines, 10.3390/mi8020056, 8:2, (56) This Issue08 May 2000Volume 456Issue 1997 Article InformationDOI:https://doi.org/10.1098/rspa.2000.0551Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Published online08/05/2000Published in print08/05/2000 License: Citations and impact Keywordsultrasoundaerosolsinstability surface wavesdropletsatomization

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