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Combustion Science and Technology Volume 18, 1978 - Issue 3-4
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Original Articles

A Formalism for Calculating the Evaporation Rates of Rapidly Evaporating Interacting Particles

M. LABOWSKY Department of Engineering and Applied Science, Chemical Engineering Section, Yale University, New Haven, Conn, 06520
Pages 145-151 | Received 27 Jan 1978, Published online: 16 May 2007

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V. Raghavan, V. Babu & T. Sundararajan. (2009) Investigation of interaction between methanol fed tandem porous spheres burning in a mixed convective environment. Combustion Theory and Modelling 13:3, pages 461-485.
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WEI-HSIN CHEN. (2000) Combustion Hysteresis and Vaporization Interaction of Two Burning Droplets with Different Sizes. Combustion Science and Technology 154:1, pages 229-257.
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A. J. K. Leiroz & R. H. Rangel. (1995) NUMERICAL STUDY OF DROPLET-STREAM VAPORIZATION AT ZERO REYNOLDS NUMBER. Numerical Heat Transfer, Part A: Applications 27:3, pages 273-296.
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AsitK. Ray & Mohan Dronamraju. (1982) Effect of Interparticle Interactions on Aerosol Formation and Growth. Aerosol Science and Technology 1:4, pages 449-461.
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M. LABOWSKY. (1980) Calculation of the Burning Rates of Interacting Fuel Droplets†. Combustion Science and Technology 22:5-6, pages 217-226.
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Ke Zheng, Zhiwen Gan, Xinyao Wang, Xuesong Han, Tianqi Zheng & Jianchen Wang. (2024) Experimental study on spray characteristics of aviation kerosene from a pressure-swirl nozzle in high-speed airflow with elevated temperatures. Physics of Fluids 36:2.
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Ciren Wang, Yiwei Ma, Deren Gong & Wei Chen. (2023) The inhibition effects of helium gas on liquid hydrogen droplets group combustion. International Journal of Hydrogen Energy 48:13, pages 5333-5346.
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Ashwini Kumar, Ajay Kumar, Vikas Goyat, Jyotsna Sharma, Jagdeep Nain & Vineet Jain. (2022) Interfering of liquid fuel droplets—A burning approach. Materials Today: Proceedings 56, pages 278-281.
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D.V. Antonov, R.M. Fedorenko, P.A. Strizhak, G. Castanet & S.S. Sazhin. (2021) Puffing/micro-explosion of two closely spaced composite droplets in tandem: Experimental results and modelling. International Journal of Heat and Mass Transfer 176, pages 121449.
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Michael S. Dodd, Danyal Mohaddes, Antonino Ferrante & Matthias Ihme. (2021) Analysis of droplet evaporation in isotropic turbulence through droplet-resolved DNS. International Journal of Heat and Mass Transfer 172, pages 121157.
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Gianpietro Elvio Cossali & Simona ToniniGianpietro Elvio Cossali & Simona Tonini. 2021. Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems. Drop Heating and Evaporation: Analytical Solutions in Curvilinear Coordinate Systems 253 295 .
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Jialin Min, Jinrong Bao, Wei Chen, Tengxi Wang & Yafeng Lei. (2020) Numerical simulation of liquid hydrogen droplets “group” evaporation and combustion. Cryogenics 108, pages 103091.
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Yuqian Chen, Wenhui Zhai & Yuxin Fan. (2019) Measurement of the vapor-phase and liquid-phase fuel distributions downstream of an integrated flameholder in heated stream. Fuel 255, pages 115808.
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G.E. Cossali & S. Tonini. (2019) An analytical model of heat and mass transfer from liquid drops with temperature dependence of gas thermo-physical properties. International Journal of Heat and Mass Transfer 138, pages 1166-1177.
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John A. Palmore & Olivier Desjardins. (2017) Direct numerical simulations of turbulent multiphase flows undergoing evaporation. Direct numerical simulations of turbulent multiphase flows undergoing evaporation.
G. Castanet, L. Perrin, O. Caballina & F. Lemoine. (2016) Evaporation of closely-spaced interacting droplets arranged in a single row. International Journal of Heat and Mass Transfer 93, pages 788-802.
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William A. Sirignano. (2014) Advances in droplet array combustion theory and modeling. Progress in Energy and Combustion Science 42, pages 54-86.
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M. Labowsky & T.M. Fahmy. (2012) Diffusive transfer between two intensely interacting cells with limited surface kinetics. Chemical Engineering Science 74, pages 114-123.
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Wei-Hsin Chen, Yu-Lin Hou & Chen-I Hung. (2012) Influence of droplet mutual interaction on carbon dioxide capture process in sprays. Applied Energy 92, pages 185-193.
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Nesvit E. Castellano & Eldo E. Ávila. (2011) Vapour density field of a population of cloud droplets. Journal of Atmospheric and Solar-Terrestrial Physics 73:16, pages 2423-2428.
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Robert W. Bilger. (2011) A mixture fraction framework for the theory and modeling of droplets and sprays. Combustion and Flame 158:2, pages 191-202.
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T. Kokalj, H. Cho, M. Jenko & L. P. Lee. (2010) Biologically inspired porous cooling membrane using arrayed-droplets evaporation. Applied Physics Letters 96:16.
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William A. Sirignano & Guang Wu. (2008) Multicomponent-liquid–fuel vaporization with complex configuration. International Journal of Heat and Mass Transfer 51:19-20, pages 4759-4774.
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William A. Sirignano. (2007) Liquid-fuel burning with nonunitary Lewis number. Combustion and Flame 148:3, pages 177-186.
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Randall T. Imaoka & William A. Sirignano. (2005) A generalized analysis for liquid-fuel vaporization and burning. International Journal of Heat and Mass Transfer 48:21-22, pages 4342-4353.
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Randall T. Imaoka & William A. Sirignano. (2005) Transient vaporization and burning in dense droplet arrays. International Journal of Heat and Mass Transfer 48:21-22, pages 4354-4366.
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Randall T. Imaoka & William A. Sirignano. (2005) Vaporization and combustion in three-dimensional droplet arrays. Proceedings of the Combustion Institute 30:2, pages 1981-1989.
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Masao Kikuchi, Tatsuya Arai, Shinichi Yoda, Tatsuro Tsukamoto, Akira Umemura, Masahiro Uchida, Masayuki Kakei & Takashi Niioka. (2002) Numerical study on flame propagation of a fuel droplet array in a high-temperature environment under microgravity. Proceedings of the Combustion Institute 29:2, pages 2611-2619.
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W. H. Chen. (2000) Partially Premixed Flame Structure and Stability of Twin Droplets in Flows. Journal of Heat Transfer 122:4, pages 730-740.
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P. Balakrishnan, T. Sundararajan & R. Natarajan. (2000) Interference Effects During Burning of Tandem Porous Spheres in Mixed Convective Environment. AIAA Journal 38:10, pages 1889-1898.
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Wei-Hsin Chen & Jenn-Long Liu. (1999) Numerical studies on flame structure of two interactive droplets in spray. Numerical studies on flame structure of two interactive droplets in spray.
Wei-Hsin Chen, Chao-Chung Liu & Tsung Leo Jiang. (1998) Hysteresis effects of two interactive droplets burning in convective flows. Symposium (International) on Combustion 27:2, pages 1923-1932.
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K. Sivasankaran, K.N. Seetharamu & R. Natarajan. (1996) Numerical investigation of the interference effects between two burning fuel spheres. International Journal of Heat and Mass Transfer 39:18, pages 3949-3957.
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. 1996. Recent Advances in Spray Combustion: Spray Atomization and Drop Burning Phenomena. Recent Advances in Spray Combustion: Spray Atomization and Drop Burning Phenomena 327 380 .
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Akira Umemura. (1994) Interactive droplet vaporization and combustion: Approach from asymptotics. Progress in Energy and Combustion Science 20:4, pages 325-372.
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C.H. Chiang & W.A. Sirignano. (1993) Interacting, convecting, vaporizing fuel droplets with variable properties. International Journal of Heat and Mass Transfer 36:4, pages 875-886.
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J.Y. Zhu & D. Dunn-Rankin. (1992) Temperature characteristics of a combusting droplet stream. Symposium (International) on Combustion 24:1, pages 1473-1481.
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M.M. Elkotb, S.L. Aly & H.A. Elsalmawy. (1991) Evaporation characteristics of fuel and multifuel droplets. Combustion and Flame 85:3-4, pages 300-308.
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William Ryan, Kalyan Annamalai & Jerald Caton. (1990) Relation between group combustion and drop array studies. Combustion and Flame 80:3-4, pages 313-321.
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J. Bellan & K. Harstad. (1990) Evaporation, ignition, and combustion of nondilute clusters of drops. Combustion and Flame 79:3-4, pages 272-286.
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M. Marberry, A.K. Ray & K. Leung. (1984) Effect of multiple particle interactions on burning droplets. Combustion and Flame 57:3, pages 237-245.
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William A. Sirignano. (1983) Fuel droplet vaporization and spray combustion theory. Progress in Energy and Combustion Science 9:4, pages 291-322.
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G.M. Faeth. (1983) Evaporation and combustion of sprays. Progress in Energy and Combustion Science 9:1-2, pages 1-76.
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J. Bellan & R. Cuffel. (1983) A theory of nondilute spray evaporation based upon multiple drop interactions. Combustion and Flame 51, pages 55-67.
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C.K. Law. (1982) Recent advances in droplet vaporization and combustion. Progress in Energy and Combustion Science 8:3, pages 171-201.
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J.J. Sangiovanni & M. Labowsky. (1982) Burning times of linear fuel droplet arrays: A comparison of experiment and theory. Combustion and Flame 47, pages 15-30.
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A. R. Chraplyvy. (1981) Nonintrusive measurements of vapor concentrations inside sprays. Applied Optics 20:15, pages 2620.
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Kenji Miyasaka & Chung K. Law. (1981) Combustion of strongly-interacting linear droplet arrays. Symposium (International) on Combustion 18:1, pages 283-292.
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T.D. Butler, L.D. Cloutman, J.K. Dukowicz & J.D. Ramshaw. (1981) Multidimensional numerical simulation of reactive flow in internal combustion engines. Progress in Energy and Combustion Science 7:4, pages 293-315.
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Akira Umemura, Satoru Ogawa & Nobunori Oshima. (1981) Analysis of the interaction between two burning droplets. Combustion and Flame 41, pages 45-55.
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M. Labowsky. (1980) Transfer rate calculations for compositionally dissimilar interactiong particles. Chemical Engineering Science 35:5, pages 1041-1048.
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T.A. Brzustowski, E.M. Twardus, S. Wojcicki & A. Sobiesiak. (1979) Interaction of Two Burning Fuel Droplets of Arbitrary Size. AIAA Journal 17:11, pages 1234-1242.
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