High energy dissipation rates from the impingement of free paper-thin sheets of liquids: A study of the coefficient of restitution of the collision

Chemical Engineering Science: X - Tập 12 - Trang 100113 - 2021
Robert J. Demyanovich1
1RJD Technologies, Inc., Seattle, WA 98146, USA

Tài liệu tham khảo

Antonyuk, 2010, Energy absorption during compression and impact of dry elastic-plastic spherical granules, Granul. Matter, 12, 15, 10.1007/s10035-009-0161-3 Bakshi, 1984, Effect of Fat Content and Temperature on Viscosity in Relation to Pumping Requirements of Fluid Milk Products, J. Dairy Sci., 67, 1157, 10.3168/jds.S0022-0302(84)81417-4 Bosart, 1927, New Glycerol Tables 1, Ind. Eng. Chem., 19, 506, 10.1021/ie50208a030 Bush, 2004, On the collision of laminar jets: Fluid chains and fishbones, J. Fluid Mech., 511, 285, 10.1017/S002211200400967X Chen, 2012, Dynamics and Stability of Impinging Jets, in: ILASS Americas, 1 Chen, 2019, Recent advances in physical understanding and quantitative prediction of impinging-jet dynamics and atomization, Chinese J. Aeronaut., 32, 45, 10.1016/j.cja.2018.10.010 Clanet, 2002, Life of a smooth liquid sheet, J. Fluid Mech., 462, 307, 10.1017/S0022112002008339 Culick, 1960, Comments on a ruptured soap film [8], J. Appl. Phys., 31, 1128, 10.1063/1.1735765 Demyanovich, 2021, On the impingement of free, thin sheets of liquids - A photographic study of the impingement zone, AIP Adv., 11, 10.1063/5.0040336 Demyanovich, 1991, Production of commercial dyes via impingement-sheet mixing. Part I. Testing of a device suitable for industrial application, Chem. Eng. Process., 29, 173, 10.1016/0255-2701(91)85017-I Demyanovich, 1991, Production of commercial dyes via impingement-sheet mixing Part II. Results of laboratory experiments, Chem. Eng. Process., 29, 179, 10.1016/0255-2701(91)85018-J Demyanovich, 1991, Absorption of carbon dioxide by impinging, thin liquid sheets, Chem. Eng. Commun., 103, 151, 10.1080/00986449108910868 Demyanovich, R.J., 1988. Liquid mixing employing expanding, thinning liquid sheets. U.S. Pat. 4,735,359. Demyanovich, 1989, Rapid Micromixing by the Impingement of Thin Liquid Sheets. 2, Mixing Study. Ind. Eng. Chem. Res., 28, 830, 10.1021/ie00090a027 Demyanovich, 1989, Rapid Micromixing by the Impingement of Thin Liquid Sheets. 1. A Photographic Study of the Flow Pattern, Ind. Eng. Chem. Res., 28, 825, 10.1021/ie00090a026 Denner, 2018, Wall collision of deformable bubbles in the creeping flow regime, Eur. J. Mech. B/Fluids, 70, 36, 10.1016/j.euromechflu.2018.02.002 Dictionary.com, 2021. “coefficient of restitution”. https://www.dictionary.com/browse/coefficient-of-restitution. Dombrowski, 1954, A photographic investigation into the disintegration of liquid sheets, Philos. Trans. R. Soc. London. Ser. A Math. Phys. Sci., 247, 101 Dombrowski, 1955, A short duration, double-flash system for simultaneous or delayed operation, J. Sci. Instrum., 32, 329, 10.1088/0950-7671/32/9/301 Dombrowski, 1960, Some aspects of liquid flow through fan spray nozzles, Chem. Eng. Sci., 12, 35, 10.1016/0009-2509(60)90004-X Dombrowski, 1962, The performance characteristics of an impinging jet atomizer in atmospheres of high ambient density, Fuel, 41, 323 Dombrowski, 1964, A study of the sprays formed by impinging jets in laminar and turbulent flow, J. Fluid Mech., 18, 392, 10.1017/S0022112064000295 Engineers Edge, 2018. Water - Density Viscosity Specific Weight [WWW Document]. Based ASME Y14.5-2018. URL https://www.engineersedge.com/physics/water__density_viscosity_specific_weight_13146.htm. Fukui, 1972, The study of a liquid atomization by the impingement of two jets, Bull. JSME, 15, 609, 10.1299/jsme1958.15.609 Gollwitzer, 2012, Coefficient of restitution for wet particles, Phys. Rev. E - Stat. Nonlinear, Soft Matter Phys., 86, 10.1103/PhysRevE.86.011303 Halls, 2015, Liquid mixing in doublet impinging jet injectors using x-ray fluorescence, in: ILASS Americas, 1 Hasson, 1964, Thickness distribution in a sheet formed by impinging jets, AIChE J., 10, 752, 10.1002/aic.690100533 Johnson, 2003, Chemical processing and micromixing in confined impinging jets, AIChE J., 49, 2264, 10.1002/aic.690490905 Kamath, 2008, The influence of temperature on the foaming of milk, Int. Dairy J., 18, 994, 10.1016/j.idairyj.2008.05.001 Mahajan, 1996, Micromixing Effects in a Two-Impinging-Jets Precipitator, AIChE J., 42, 1801, 10.1002/aic.690420702 Mallinson, S.G., McBain, G.D., Horrocks, G.D., 2016. Viscosity and surface tension of aqueous mixtures. In: Proceedings of the 20th Australasian Fluid Mechanics Conference, AFMC 2016. pp. 5–8. Müller, 2016, Influence of the liquid film thickness on the coefficient of restitution for wet particles, Phys. Rev. E, 93, 10.1103/PhysRevE.93.042904 Notaro, 2019, Mixing characteristics of non-newtonian impinging jets at elevated pressures, Flow Turbul. Combust., 102, 355, 10.1007/s10494-018-9955-x Pandit, 1990, Hydrodynamics of the rupture of thin liquid films, J. Fluid Mech., 212, 11, 10.1017/S0022112090001823 Paxman, 2012, Using micromechanical resonators to measure rheological properties and alcohol content of model solutions and commercial beverages, Sensors (Switzerland), 12, 6497, 10.3390/s120506497 Perry, 2008 Ranz, 1959, Some experiments on the dynamics of liquid films, J. Appl. Phys., 30, 1950, 10.1063/1.1735095 Rupe, J., 1953. The liquid-phase mixing of a pair of impinging streams, Jet. Prop. Lab. CIT. Program Report No. 20-195. Savva, 2009, Viscous sheet retraction, J. Fluid Mech., 626, 211, 10.1017/S0022112009005795 Schaer, 1999, Determination of local energy dissipation rates in impinging jets by a chemical reaction method, Chem. Eng. J., 72, 125, 10.1016/S1385-8947(98)00152-1 Segur, 1951, Viscosity of glycerol and its aqueous solutions, Ind. Eng. Chem., 43, 2117, 10.1021/ie50501a040 Sutkar, 2015, A novel approach to determine wet restitution coefficients through a unified correlation and energy analysis, AIChE J., 61, 769, 10.1002/aic.14693 Taylor, 1959, The dynamics of thin sheets of fluid. III. Disintegration of fluid sheets, Proc. R. Soc. London. Ser. A. Math. Phys. Sci., 253, 313 Vazquez, 1995, Surface Tension of Alcohol + Water from 20 to 50 °C, J. Chem. Eng. Data, 40, 611, 10.1021/je00019a016 Villermaux, 2013, The viscous Savart sheet, J. Fluid Mech., 730, 607, 10.1017/jfm.2013.354 Walstra, P., Wouters, J.T.M., Geurts, T.J., 2006. Dairy Technology, second ed, Dairy Technology. CRC/Taylor & Francis. Doi: 10.1201/9780824746414. Zenit, 2009, The coefficient of restitution for air bubbles colliding against solid walls in viscous liquids, Phys. Fluids, 21, 10.1063/1.3210764