SIMULTANEOUS MOMENTUM, HEAT AND MASS TRANSFER APPLIED TO A SINGLE DROPLET
DOI:
https://doi.org/10.59417/nir.2018.14.7Keywords:
combined, momentum, heat and mass transfer, single droplet.Abstract
Combined momentum, heat and mass transfer to droplets occur in a number of technical processes such as spray drying, spray cooling, spray crystalization, cyclone evaporation, combustion of liquid fuels, spray or void of fill cooling towers and water sprays at fill bottom of cooling towers, air conditioning units, direct contact condensers in thermal tower generating plants, etc.
In spite of the fact that one of these operations was used 5000 years ago (evaporative cooling) and the relatively young process such as the combustion of liquid fuels is about 120 years old, although intensive research has been undertaken for decades in the area. Even the simple single droplet problem involving these three transport phenomena is far from being resolved and completely understood for the whole range of variables of practical interest.
References
A. Reinhart (1984). „Das Verhalten fallender Tropfen”, Disertacija Eidgenössichen Techinschen Hochschule in Zürich.
G. M. Hidy and J. R. Brock (1980). „The Dynamics of Aero-Colloidal Systems”, Pergamon Press.
J. O. Hinze (1995). „Fundamentals of the Hydrodynamic Mechanism of Splitting in Dispersing Processes”, AICHE Jurnal, 1, 289–295. DOI: https://doi.org/10.1002/aic.690010303
B. P. Leclair, A. E. Hamielec, H. R. Pruppacher and W. D. Hall (1992). „A Theoretical and Experimental Study of the Internal Circulation in Water Drops Falling of Terminal Velocity in Air”, J. of Atmosf. Sci, 29, 728–740. DOI: https://doi.org/10.1175/1520-0469(1972)029<0728:ATAESO>2.0.CO;2
L. B. Torobin and W. H. Gauvin (2001). „The Drag Coefficient of Single Spheres Moving in Steady and Accelerated Motion in Turbulent Fluid”, AICHE Juornal, 7, 615–619. DOI: https://doi.org/10.1002/aic.690070417
A. B. Hedley, A. S. M. Nuruzzaman, G. F. Martin: Progress Rewiew no 62 (2001). „Combustion of single Droplets and Simplified Spray Systems”, Journal of the Institute of Fuel, no 1, 38–54.
E. Kulić and E. Rhodes (1997). „Heat Transfer Rate Predictions in Condensation on Droplets From Air-Steam Mixture”, Can. J. Chem. Eng. Vol. 55, 131–137. DOI: https://doi.org/10.1002/cjce.5450550205
R. R. Hughes and E. R. Gilliland. (2002). „The Mechanics of Drops”, Chem. Eng. Prog. 48, 497– 504.
R. Gunn and G. D. Kinzer (1989). „The Terminal Velocity of Fall for Water Droplets in Stagnat Air”, Journal of Meteorology 6, 243–248. DOI: https://doi.org/10.1175/1520-0469(1949)006<0243:TTVOFF>2.0.CO;2
L. I. Sedov (1973). „Mehanika splošnoj sredy”, Tom I, Nauka, Moskva.
A. E. Hamielec, T. W. Hoffman, L. L. Ross (1977). „Numerical Solution of the Navier Stokes Equation for Past Spheres”, AICHE Journal, 13, 212 219. DOI: https://doi.org/10.1002/aic.690130206
G. H. Bailey (1980). „Dynamic Equations and Solutions for Particles Undergoing Mass Transfer”, Brit. Chem. Eng., 15, 912–916.
I. V. Meščerski (1959). „Dinamika točki peremenoj masi”, V sbor. Raboti po mehanike tel permenenoj massi, Gostehnizdat.
L. Waldman and K. H. Schmidt (1996). „Thermophoresis and Diffusiophoresis of Aerosols”, capter G in: Aerosol Science, editor N. C. Davies, Academic Press.
C. E. Lapple and C. B. Shepard (1950). „Calculation of Particle Trajectories”, Ind. Engng. Chem. 32, 605–617. DOI: https://doi.org/10.1021/ie50365a007
R. B. Bird, W. E. Stewart and E. N. Lightfoot (1980). „Transport Phenomena”, John Wiley Sons. [17] L. D. Berman (1969). „Nekotorie zakonomernosti sovmestno protekajušćih processov teplo i massoobomena v geterogennih sistemah”, Ţurnal tehničeskoj fiziki, Tom XXIX, 94 106.
L. D. Berman (1966). „Vlijanie potoka veščestva na konvektivnuju teplootdaču pri isparenii i kondensatsii para”, Teploenergetika, 4, No. 2, 25–30.
G. Ackerman (1945). „Das Lewische Gesetz für das Zusammenwirken von Wärmeübergang und Verdundstung Forsch. Ing. – Wes. 5, 95. DOI: https://doi.org/10.1007/BF02589759
Yaron and B. Gal-or (2011). „Convective Mass and Heat Transfer from Size-Distributed Drops, Bubles or Solid Particles”, Int. J. Heat and Mass Transfer, 14, 727–737. DOI: https://doi.org/10.1016/0017-9310(71)90103-7
W. K. Lewis (1932). „The Eavaporation of Liquid into a Gas”, Trans. ASME, 44, 455–476.
E. R. Gilliland and T. K. Sherwood (1944). „Diffusion of Vapors into Air Streams”, Ind. Eng. Chem. 26, No. 5, 516–523. DOI: https://doi.org/10.1021/ie50293a010
L. D. Berman (1987). „Evaporative Cooling of Circulating Water”, Pergamon Press.
W. E. Ranz and W. R. Marshall (1962). „Evaporation from Drops”, Parts I and II, Chem. Eng. Prog. 48, 141–146.
L. S. Bobe, D. D. Malyshev (1991). „Calculating the Condensation of steam with a Cross-Flow of Steam Gas Mixture over Tubes”, Thermal Engineering, 18, No. 12, 126–130.
V. M. Semeyin (1966). „Teplootdača vlaţnovo vazduha pri kondenzatsii para”, Teploenergetika, 4, 11–15.
J. T. Schrodt and E. R. Gerhard (1995). „Condensation of Water Vapour from a Non-Condensing Gas on Vertical Tubes in a Bank”, Ing. Eng ng. Chem. Fundamentals, 4, No. 1, 46–49. DOI: https://doi.org/10.1021/i160013a007
S. Sideman and H. Sabathai (1984). „Direct-Contact Heat Transfer Between a Single Drop and an Immiscible Liquid Medium”, The Canadian J. of Chem. Eng., 107–117. DOI: https://doi.org/10.1002/cjce.5450420305
H. Kramers (1991). „Heat Transfer and Pressure drop Data on Cooling Tower Packings and Model Studies of the Resistance of Natural Draft Tower to Airflow”, International Heat Transfer Conference, Colorado, Vol. 3–5.
G. A. Hughmargk (1987). „Mass and Heat Transfer from Rigid Spheres”, AIChE Journal, 13, 1, 219–221.
R. Darke (1981). „Discussion of the Paper of G. C. Vliet and G. Leippert”, Trans. ASME Ser. C, Heat Transfer, 83, 170–173.
J. H. Masliyah and N. Epstein (1972). „Numerical Solution of Heat and Mass Transfer from Spheroids in Steady Axisymmetric Flow”, Progress in Heat and Mass Transfer, Vol. 6. DOI: https://doi.org/10.1016/B978-0-08-017035-0.50036-7
K. G. T. Hollands (1984). „An Analysis of Counter-flow Spray Cooling Tower”, Int. J. Heat Mass Transfer, 17, 1227–1239. DOI: https://doi.org/10.1016/0017-9310(74)90123-9
G. Send (1982). „Luftbefeuchtung im adiabat betriebenen Luftwäscher”, HLH, Vol. 23, 143–146. [35] D. Škobalj (1998). Proučavanje mehanizma prenosa toplote u dvofaznom toku vodenih kapi u vlaţnom vazduhu, doktorska disertacija, Novi Sad.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 NIR
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
