Hydrodynamic and Mass Transfer of a Contaminated Water Droplet


(*) Corresponding author


Authors' affiliations


DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract


This paper presents the results of a parametric numerical study in which the mass transfer into a spherical water droplet was computed over the range 0.1< Re <100 for different values of the polar angle θcap characterizing the extent of a rigid cap at the rear of the water droplet, for a Schmidt number Sc=550 and a fixed viscosity ratio between the dispersed phase and the continuous phase κ=55. The results show that for low Reynolds numbers (Re<2) and relatively low Peclet numbers the contamination reduces the mass transfer flux. The average Sherwood number increases with a stagnant-cap angle increase and reaches a maximum value corresponding to the average Sherwood number for a clean water droplet (θcap=180°). However for larger Reynolds numbers and because of the structure of the streamlines and their incidence on isoconcentrations contours, the average Sherwood number maximum is reached at θcap=102°, θcap=70°, θcap=57° and θcap=50° for Re=2, Re=10, Re=50 and Re=100, respectively.
Copyright © 2015 Praise Worthy Prize - All rights reserved.

Keywords


Water Droplet; Interface Contamination; Stagnant-Cap Model; Mass Transfer

Full Text:

PDF


References


L.B. Baboolal, H.R. Pruppacher, J.H. Topalian, A sensitivity study of a theoretical model of SO2 scavenging by water drops in air, J. of the Atmospheric Sciences 38 (1981) 856-870.
http://dx.doi.org/10.1175/1520-0469(1981)038%3C0856:assoat%3E2.0.co;2

C.J. Walcek, H.R. Pruppacher, On the scavenging of SO2 by cloud and raindrops: I. A theoretical study of SO2 absorption and desorption for water drops in air, J. Atmos. Chem. 1(1984) 269-289.
http://dx.doi.org/10.1007/bf00058732

A. Saboni, S. Alexandrova, Sulfur dioxide absorption and desorption by water drops, Chem. Eng. J. 84 (2001) 577-580.
http://dx.doi.org/10.1016/s1385-8947(01)00172-3

S. Alexandrova, M. Marion, E. Lepinasse, A. Saboni, Mass transfer modeling of SO2 into large drops, Chem. Eng. Technol. 27 (2004) 676-680.
http://dx.doi.org/10.1002/ceat.200401655

S.K. Mitra, A. Waltrop, A. Hannemann, A. Flossmann, H.R. Pruppacher, A wind tunnel and theoretical investigation to test various theories for the absorption of SO2 by drops of pure water and water drops containing H2O2 and (NH4)2SO4, (S. E. Schwartz and W.G.N. Slinn eds., Precipitation Scavenging and Atmosphere - Surface Exchange, Hemisphere Publishing Corporation, Washington, 1992, pp. 123–142).

S.K. Mitra, A.U. Hannemann, On the scavenging of SO2 by large and small rain drops: V. A wind tunnel and theoretical study of the desorption of SO2 from water drops containing S(IV), Journal of Atmospheric Chemistry, 16 (1993) 201-218.
http://dx.doi.org/10.1007/bf00696896

R. Kaji, Y. Hishinuma, H. Kuroda, SO2 absorption by water droplets, J. Chem. Eng. Japan, 18 (1985) 169-172.
http://dx.doi.org/10.1252/jcej.18.169

E.R. Altwicker, C.E. Lindhjem, Absorption of gases into drops, AIChE J. 34 (1988) 329-332.
http://dx.doi.org/10.1002/aic.690340218

A. Waltrop, S.K. Mitra, A. I. Flossmann, H.R. Pruppacher, On the scavenging of SO2 by cloud and rain drops. 4. A wind tunnel and theoretical study of the absorption of SO2 in the ppb(v) range by water drops in the presence of H2O2, J. Atmos. Chem. 12 (1991) 1-17.
http://dx.doi.org/10.1007/bf00053932

H. Amokrane, A. Saboni, B. Caussade, Experimental study and parameterization of gas absorption by water drops, AIChE J. 40 (1994) 1950-1960.
http://dx.doi.org/10.1002/aic.690401204

W.-H. Chen, Dynamics of sulfur dioxide absorption in a raindrop falling at terminal velocity, Atmos. Environ. 35(2001) 4777-4790.
http://dx.doi.org/10.1016/s1352-2310(01)00274-6

W.-H. Chen, Atmospheric ammonia scavenging mechanism around a liquid droplet in convective flow, Atmos. Environ. 38 (2004) 1107-1116.
http://dx.doi.org/10.1016/j.atmosenv.2003.11.013

T. Elperin, A. Fominykh, Conjugate mass transfer during gas absorption by falling liquid droplet with internal circulation, Atmos. Environ. 39 (2005) 4575-4582.
http://dx.doi.org/10.1016/j.atmosenv.2005.04.005

M. Marion, E. Lépinasse, A. Saboni, SO2 absorption and desorption by an accelerating water droplet undergoing vaporization, Int. J. of Heat and Fluid Flow 27 (2006) 290-297.
http://dx.doi.org/10.1016/j.ijheatfluidflow.2005.09.001

T. Elperin, A. Fominykh, B. Krasovitov, Evaporation and condensation of large droplets in the presence of inert admixtures containing soluble gas, J. Atmos. Sci. 64 (2007) 983-995.
http://dx.doi.org/10.1175/jas3878.1

T. Elperin, A. Fominykh, B. Krasovitov, Scavenging of soluble gases by evaporating and growing cloud droplets in the presence of aqueousphase dissociation reaction, Atmos. Environ. 42 (2008) 3076-3086.
http://dx.doi.org/10.1016/j.atmosenv.2007.12.036

R.M. Griffith, The effect of surfactants on the terminal velocity of drops & bubbles, Chem. Eng. Sci. 17 (1962) 1057-1070.
http://dx.doi.org/10.1016/0009-2509(62)80084-0

R. Bel Fdhila, P.C. Duineveld, The effect of surfactant on the rise of a spherical bubble at high Reynolds and Peclet numbers, Physics of Fluids 8 (1996) 310-332.
http://dx.doi.org/10.1063/1.868787

F. Takemura, A. Yabe, Rising speed and dissolution rate of a carbon dioxide bubble in slightly contaminated bubble, J. of Fluid Mechanics 378 (1999) 319 - 334.
http://dx.doi.org/10.1017/s0022112098003358

B. Cuenot, J. Magnaudet, B. Spennato, The effects of slightly soluble surfactant on the flow around a spherical bubble, J. of Fluid Mechanics 339 (1997) 25-53.
http://dx.doi.org/10.1017/s0022112097005053

J.M.T. Vasconcelos, S.C.P. Orvalho, S.S. Alves, Gas-liquid mass transfer to single bubbles: effect of surface contamination, AIChE J. 48 (2002) 1145-1154.
http://dx.doi.org/10.1002/aic.690480603

A. Dani, Transfert de masse entre une bulle et un liquide : simulations numériques directes et fluorescence induite par nappe laser, Thèse de doctorat de l’INSA de Toulouse, 2007.

P. Savic, Circulation and distortion of liquid previous drops falling through a viscous medium, Technical Report No. MT-22, National Research Council of Canada, Division of Mechanical Engineering, 1953.

N. Kishore, V.S. Nalajala, R.P. Chhabra, Effects of contamination and shear-thinning fluid viscosity on drag behavior of spherical bubbles, Ind. Eng. Chem. Res. 52 (2013) 6049-6056.
http://dx.doi.org/10.1021/ie4003188

S.S. Sadhal, R.E. Johnson, Stokes flow past bubbles and drops partially coated with thin films. Part 1: stagnant-cap of surfactant film-exact solution, J. of Fluid Mechanics 126 (1983) 237 - 250.
http://dx.doi.org/10.1017/s0022112083000130

A. Saboni, S. Alexandrova, M. Mory, Flow around a contaminated fluid sphere, Int. J. of Multiphase Flow 36 (2010) 503 - 512.
http://dx.doi.org/10.1016/j.ijmultiphaseflow.2010.01.009

A. Saboni, S. Alexandrova, M. Karsheva, C. Gourdon, Mass transfer from a contaminated fluid sphere, AIChE J. 57 (2011) 1684-1692.
http://dx.doi.org/10.1002/aic.12391

D.L.R. Oliver, N.C. Jacob, Conjugate unsteady heat transfer from a spherical droplet at low Reynolds numbers, Int. J. of Heat and Mass Transfer 29 (1986) 879 - 887.
http://dx.doi.org/10.1016/0017-9310(86)90183-3

G. Juncu, A numerical study of the unsteady heat/mass transfer inside a circulating sphere, Int. J. of Heat and Mass Transfer 53 (2010) 3006-3012.
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2010.03.030

B. Jähne, Zur Parameterisierung des Gasaustausches mit Hilfe von Laborexperimenten, Doctoral dissertation, Univ. of Heidelberg, Federal Republic of Germany, 1980.


Refbacks

  • There are currently no refbacks.



Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize