Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter September 27, 2019

Effect of surfactants on mass transfer coefficients in bubble column contactors: an interpretative critical review study

  • Sahand Nekoeian EMAIL logo , Masoud Aghajani , Seyed Mehdi Alavi and Fatemeh Sotoudeh

Abstract

Since surfactants have been recognized as the most frequently faced contaminants of bubble column-related processes over time, their impact on the mass transfer operation of these columns has become a demanding research interest for two recent decades. Despite the similarities expressing the overall negative and positive influence of these chemicals on mass transfer coefficients and specific interfacial area, respectively, the discrepancies and, sometimes, paradoxical results are still under debate in the literature. To make a more comprehensive recognition of the mentioned subject, the current paper has tried to pave the path by reviewing all the major methods utilized in related research works. Thereafter, an interpretative argumentative comparison of the main findings of relevant studies has also been proposed, enlightening some of the research gaps which can be the potential candidates for future studies.

Nomenclature

A0

mobile surface in stagnant cap model

Acap

stagnant cap area

A

bubble surface area

A*

surfactant cap area

Atrans

surfactant cap area at the transition point

Ae

effective interfacial area

a

specific interfacial area

a0

specific interfacial area at negligible absorption rate

asurf

interfacial area per mole of adsorbed surfactant molecules

Csurf

surfactant concentration in the liquid phase

Ce

gas solubility

C

liquid bulk oxygen concentration

C*

equilibrium oxygen concentration in the liquid

C0

initial oxygen concentration in the liquid

C2

equilibrium oxygen concentration in the overall specific oxygen absorption rate measurement

Ck

equilibrium oxygen concentration in the oxygen absorption rate measurement

Cs

surfactant concentration in the liquid phase

Csp

solid particle concentration

CD

bubble drag coefficient

CDmobile

mobile bubble drag coefficient

CDrigid

rigid bubble drag coefficient

CDCC

Co-current downflow contacting column

CMC

critical micelle concentration

D

gas diffusivity

D

direct numerical simulation

d

bubble diameter

dsp

solid particle diameter

dbi

bubble diameter of the ith size class

dbs

bubble Sauter mean diameter

dB

bubble arithmetic average diameter

d1

the maximum bubble diameter for a spherical shape

d0

the minimum bubble diameter to have an ellipsoidal shape

e

elliptical bubble height to length ratio

F

flux of oxygen transferred by the bubble in PLIF technique

fB

bubble formation frequency

g

gravitational acceleration

H

ungassed liquid height of a column

Hc

bubble column height

HL

liquid height in the column

HLB

hydrophilic lipophilic balance

h

height of a bubble in the shape of oblate spheroid

htrans

height of the bubble clean segment at the transition point

I0

fluorescence intensity in the absence of oxygen in PLIF technique

I

fluorescence intensity in PLIF technique

J

oxygen flux density in PLIF technique

k

surfactant property constant

k1

kinetic coefficient of the pseudo-first-order reaction

k0

contributions of the not catalyzed reactions

kc

contributions of the catalyzed reactions

K

adsorption constant

KSV

Stern-Volmer constant in PLIF technique

kL1

bubble mass transfer coefficient at clean interface

kL0

bubble mass transfer coefficient at fully contaminated interface

kL

intrinsic liquid-side mass transfer coefficient

kLa

volumetric liquid-side mass transfer coefficient

kLmobile

intrinsic mass transfer coefficient of bubble with clean interface

kLrigid

intrinsic mass transfer coefficient of bubble with fully contaminated interface

kLzoneB

bubble mass transfer coefficient in zone B

kLzoneC

bubble mass transfer coefficient in zone C

k¯L

average liquid-side intrinsic mass transfer coefficient

ksurf

surfactant mass transfer coefficient

ksurf0

surfactant diffusivity constant

l

length of a bubble in the shape of oblate spheroid

L

characteristic length

LIF

laser-induced fluorescence

M

absorption rate

mT

total mass of Na2SO3

mS

mass of Na2SO3 reacting with the oxygen dissolved during the stationary regime

mR

mass of Na2SO3 remaining in the column

mO2

quantity of transferred oxygen

MO2

molecular mass of O2

MNa2SO3

molecular mass of Na2SO3

N

diffusing gas molar flux

NB

number of terminal rising bubbles

ni

bubble number of the ith size class

ntot

total number of bubbles

[O2]

dissolved oxygen concentration in the liquid phase in PLIF technique

[O2]

oxygen solubility in the bulk liquid in PLIF technique

Pec

bulk Peclet number

pb

barometric pressure

pH2O

partial pressure of water

pO2

partial pressure of oxygen

Qg

gas flow rate

Q1

volumetric gas flow rate on the inlet of the dispersion

Q2

volumetric gas flow rate on the outlet of the dispersion

Se

surface coverage ratio at equilibrium

Sc

Schmidt number

tRi

bubble residence time of the ith size class

tR

bubble residence time

tmobile

mobile bubble age

T1

time constant of the probe

T2

characteristic time for mass transfer

Tframes

time interval between two frames

T

temperature

Ta

adsorption temperature

UB

rising bubble velocity

Ug

superficial gas velocity

V

ungassed liquid volume of a column

VTotal

total reactor volume

VB

average detached bubble volume

X

normalized probe reading of dissolved oxygen concentration

y

ordinate of the bubble center of gravity

Greek symbols
α

process scaling factor

ΔC

dissolved gas concentration difference

νs

bubble slip velocity

ν

kinematic viscosity

ΔH

height increase after gas dispersion

ΔV

volume expansion after gas dispersion

ΔD

bubble spatial displacement between two frames

ρL

density of liquid

ρg

density of gas

σ

surface tension

θcap

stagnant cap angle

τ

bubble interfacial shear stress

ϕ

overall specific oxygen absorption rate in the dispersion

Γ

surface surfactant concentration when it is saturated

Γe

surface surfactant concentration at equilibrium

σL,0

surface tension at near zero surfactant concentration

σL

surface tension of surfactant solution

μL

liquid viscosity

βs

elasticity number

References

Akita K, Yoshida F. Bubble size, interfacial area, and liquid-phase mass transfer coefficient in bubble columns. Ind Eng Chem Process Des Dev 1974; 13: 84–91.10.1021/i260049a016Search in Google Scholar

Alper E, Deckwer W-D. Kinetics of absorption of CO2 into buffer solutions containing carbonic anhydrase. Chem Eng Sci 1980; 35: 549–557.10.1016/0009-2509(80)80003-0Search in Google Scholar

Alper E, Deckwer W-D, Danckwerts P. Comparison of effective interfacial areas with the actual contact area for gas absorption in a stirred cell. Chem Eng Sci 1980; 35: 1263–1268.10.1016/0009-2509(80)85118-9Search in Google Scholar

Alves S, Maia C, Vasconcelos J. Gas-liquid mass transfer coefficient in stirred tanks interpreted through bubble contamination kinetics. Chem Eng Process 2004; 43: 823–830.10.1016/S0255-2701(03)00100-4Search in Google Scholar

Alves S, Orvalho S, Vasconcelos J. Effect of bubble contamination on rise velocity and mass transfer. Chem Eng Sci 2005; 60: 1–9.10.1016/j.ces.2004.07.053Search in Google Scholar

Asgharpour M, Mehrnia MR, Mostoufi N. Effect of surface contaminants on oxygen transfer in bubble column reactors. Biochem Eng J 2010; 49: 351–360.10.1016/j.bej.2010.01.010Search in Google Scholar

Astarita G, Savage DW, Longo JM. Promotion of CO2 mass transfer in carbonate solutions. Chem Eng Sci 1981; 36: 581–588.10.1016/0009-2509(81)80146-7Search in Google Scholar

Azizi S, Yadav A, Lau YM, Hampel U, Roy S, Schubert M. On the experimental investigation of gas-liquid flow in bubble columns using ultrafast X-ray tomography and radioactive particle tracking. Chem Eng Sci 2017; 170: 320–331.10.1016/j.ces.2017.02.015Search in Google Scholar

Baird M, Davidson J. Gas absorption by large rising bubbles. Chem Eng Sci 1962; 17: 87–93.10.1016/0009-2509(62)80020-7Search in Google Scholar

Baird M, Rama Rao N. Characteristics of a countercurrent reciprocating plate bubble column. II. Axial mixing and mass transfer. Can J Chem Eng 1988; 66: 222–231.10.1002/cjce.5450660206Search in Google Scholar

Belo I, García-Abuín A, Gómez-Díaz D, Navaza JM, Vidal-Tato I. Effect of tween 80 on bubble size and mass transfer in a bubble contactor. Chem Eng Technol 2011; 34: 1790–1796.10.1002/ceat.201100140Search in Google Scholar

Bird RB, Stewart WE, Lightfoot EN. Transport phenomena. New York: John Wiley & Sons, 1960, 413.Search in Google Scholar

Bischof F, Sommerfeld M, Durst F. The determination of mass transfer rates from individual small bubbles. Chem Eng Sci 1991; 46: 3115–3121.10.1016/0009-2509(91)85014-OSearch in Google Scholar

Bouaifi M, Hebrard G, Bastoul D, Roustan M. A comparative study of gas hold-up, bubble size, interfacial area and mass transfer coefficients in stirred gas-liquid reactors and bubble columns. Chem Eng Process 2001; 40: 97–111.10.1016/S0255-2701(00)00129-XSearch in Google Scholar

Boussinesq J. Vitesse de la chute lente, devenue uniforme, d’une goutte liquide spherique, dans un fluide visqueux de poids specifique moindre. Ann Chim Phys 1913; 29: 364–372.Search in Google Scholar

Brankovic A, Currie I, Martin W. Laser-Doppler measurements of bubble dynamics. Phys Fluids 1984; 27: 348–355.10.1063/1.864619Search in Google Scholar

Calderbank P, Lochiel A. Mass transfer coefficients, velocities and shapes of carbon dioxide bubbles in free rise through distilled water. Chem Eng Sci 1964; 19: 485–503.10.1016/0009-2509(64)85075-2Search in Google Scholar

Calderbank P, Moo-Young M. The continuous phase heat and mass-transfer properties of dispersions. Chem Eng Sci 1961; 16: 39–54.10.1016/0009-2509(61)87005-XSearch in Google Scholar

Calderbank PH. Gas absorption from bubbles. In: The chemical engineer. London: Institution of Chemical Engineers, 1967: CE209–CE233.Search in Google Scholar

Cents A, Brilman DWF, Versteeg G. Gas absorption in an agitated gas-liquid-liquid system. Chem Eng Sci 2001; 56: 1075–1083.10.1016/S0009-2509(00)00324-9Search in Google Scholar

Chaumat H, Billet A-M, Delmas H. Hydrodynamics and mass transfer in bubble column: influence of liquid phase surface tension. Chem Eng Sci 2007; 62: 7378–7390.10.1016/j.ces.2007.08.077Search in Google Scholar

Chen P, Gupta P, Dudukovic M, Toseland B. Hydrodynamics of slurry bubble column during dimethyl ether (DME) synthesis: gas-liquid recirculation model and radioactive tracer studies. Chem Eng Sci 2006; 61: 6553–6570.10.1016/j.ces.2006.05.011Search in Google Scholar

Chen X, Liu G-H, Fan H, Li M, Luo T, Qi L, Wang H. Effects of surfactant contamination on oxygen mass transfer in fine bubble aeration process. Korean J Chem Eng 2013; 30: 1741–1746.10.1007/s11814-013-0092-xSearch in Google Scholar

Clift R, Grace JR, Weber ME. Bubbles, drops, and particles. Courier Corporation, 2005.Search in Google Scholar

Cockx A, Roustan M, Line A, Hebrard G. Modeling of mass transfer coefficient KL in bubble columns. UK: IChemE, 1996: 627–631.10.1016/S0301-9322(97)88200-6Search in Google Scholar

Danckwerts PV, Sharma MM. Absorption of carbon dioxide into solutions of alkalis and amines (with some notes on hydrogen sulphide and carbonyl sulphide). Trans Inst Chem Eng 1966; 44: 244–280.Search in Google Scholar

De Somer FM, Vetrano MR, Van Beeck JP, Van Nooten GJ. Extracorporeal bubbles: a word of caution. Interact Cardiovasc Thorac Surg 2010; 10: 995–1001.10.1510/icvts.2009.229088Search in Google Scholar

Dean DN, Fuchs MJ, Schaffer JM, Carbonell RG. Batch absorption of CO2 by free and microencapsulated carbonic anhydrase. Ind Eng Chem 1977; 16: 452–458.10.1021/i160064a010Search in Google Scholar

Deckwer W-D, Field RW. Bubble column reactors. New York: Wiley, 1992.Search in Google Scholar

Deindoerfer F, Humphrey A. Mass transfer from individual gas bubbles. Ind Eng Chem 1961; 53: 755–759.10.1021/ie50621a035Search in Google Scholar

Deising D, Bothe D, Marschall H. Direct numerical simulation of mass transfer in bubbly flows. Comput Fluids 2018; 172: 524–537.10.1016/j.compfluid.2018.03.041Search in Google Scholar

Dieter-Kissling K, Marschall H, Bothe D. Direct numerical simulation of droplet formation processes under the influence of soluble surfactant mixtures. Comput Fluids 2015; 113: 93–105.10.1016/j.compfluid.2015.01.017Search in Google Scholar

Dumont E, Delmas H. Mass transfer enhancement of gas absorption in oil-in-water systems: a review. Chem Eng Process 2003; 42: 419–438.10.1016/S0255-2701(02)00067-3Search in Google Scholar

Eckenfelder W, Barnhart EL. The effect of organic substances on the transfer of oxygen from air bubbles in water. AIChE J 1961; 7: 631–634.10.1002/aic.690070420Search in Google Scholar

Francois J, Dietrich N, Guiraud P, Cockx A. Direct measurement of mass transfer around a single bubble by micro-PLIFI. Chem Eng Sci 2011; 66: 3328–3338.10.1016/j.ces.2011.01.049Search in Google Scholar

Frossling N. Uber die verdunstung fallender tropfen. Beitr Geophys Gerlands 1938; 52: 170–216.Search in Google Scholar

Frumkin A. On surfactants and interfacial motion. Zh Fiz Khim 1947; 21: 1183–1204.Search in Google Scholar

García-Abuín A, Gómez-Díaz D, Navaza JM, Sanjurjo B. Effect of surfactant nature upon absorption in a bubble column. Chem Eng Sci 2010; 65: 4484–4490.10.1016/j.ces.2010.04.009Search in Google Scholar

García-Abuín A, Gómez-Díaz D, Losada M, Navaza JM. Oxygen absorption in polymer+ surfactant aqueous solutions. Chem Eng J 2013; 225: 76–83.10.1016/j.cej.2013.03.067Search in Google Scholar

Garner F, Hammerton D. Circulation inside gas bubbles. Chem Eng Sci 1954; 3: 1–11.10.1016/0009-2509(54)80001-7Search in Google Scholar

Gómez-Díaz D, Navaza J, Sanjurjo B. Mass-transfer enhancement or reduction by surfactant presence at a gas-liquid interface. Ind Eng Chem Res 2009; 48: 2671–2677.10.1021/ie8009523Search in Google Scholar

Griffith R. Mass transfer from drops and bubbles. Chem Eng Sci 1960; 12: 198–213.10.1016/0009-2509(60)85006-3Search in Google Scholar

Griffith R. The effect of surfactants on the terminal velocity of drops and bubbles. Chem Eng Sci 1962; 17: 1057–1070.10.1016/0009-2509(62)80084-0Search in Google Scholar

Hebrard G, Zeng J, Loubiere K. Effect of surfactants on liquid side mass transfer coefficients: a new insight. Chem Eng J 2009; 148: 132–138.10.1016/j.cej.2008.08.027Search in Google Scholar

Higbie R. The rate of absorption of a pure gas into a still liquid during short periods of exposure. Trans. AIChE 1935; 31: 365–389.Search in Google Scholar

Hills J, Abbott C, Westall L. Simple apparatus for the measurement of mass transfer from gas bubbles to liquids. Trans Inst Chem Eng 1982; 60: 369–372.Search in Google Scholar

Huang J, Saito T. Influence of bubble-surface contamination on instantaneous mass transfer. Chem Eng Technol 2015; 38: 1947–1954.10.1002/ceat.201500056Search in Google Scholar

Huang J, Saito T. Influences of gas-liquid interface contamination on bubble motions, bubble wakes, and instantaneous mass transfer. Chem Eng Sci 2017; 157: 182–199.10.1016/j.ces.2016.05.013Search in Google Scholar

Jamnongwong M, Loubiere K, Dietrich N, Hébrard G. Experimental study of oxygen diffusion coefficients in clean water containing salt, glucose or surfactant: consequences on the liquid-side mass transfer coefficients. Chem Eng J 2010; 165: 758–768.10.1016/j.cej.2010.09.040Search in Google Scholar

Jeng JJ, Maa JR, Yang YM. Surface effects and mass transfer in bubble column. Ind Eng Chem Process Des Dev 1986; 25: 974–978.10.1021/i200035a023Search in Google Scholar

Jia X, Hu W, Yuan X, Yu K. Effect of surfactant type on interfacial area and liquid mass transfer for CO2 absorption in a bubble column. Chinese J Chem Eng 2015; 23: 476–481.10.1016/j.cjche.2014.11.027Search in Google Scholar

Jimenez M, Dietrich N, Hebrard G. A new method for measuring diffusion coefficient of gases in liquids by PLIF. Mod Phys Lett B 2012; 26: 1150034.10.1142/S0217984911500345Search in Google Scholar

Jimenez M, Dietrich N, Grace JR, Hébrard G. Oxygen mass transfer and hydrodynamic behaviour in wastewater: determination of local impact of surfactants by visualization techniques. Water Res 2014; 58: 111–121.10.1016/j.watres.2014.03.065Search in Google Scholar

Kawase Y, Moo-Young M. The effect of antifoam agents on mass transfer in bioreactors. Bioproc Biosyst Eng 1990; 5: 169–173.10.1007/BF00369581Search in Google Scholar

Kawase Y, Moo-Young M. Correlations for liquid-phase mass transfer coefficients in bubble column reactors with newtonian and non-newtonian fluids. Can J Chem Eng 1992; 70: 48–54.10.1002/cjce.5450700108Search in Google Scholar

Koide K, Hayashi T, Sumino K, Iwamoto S. Mass transfer from single bubbles in aqueous solutions of surfactants. Chem Eng Sci 1976; 31: 963–967.10.1016/0009-2509(76)87048-0Search in Google Scholar

Koide K, Orito Y, Hara Y. Mass transfer from single bubbles in Newtonian liquids. Chem Eng Sci 1974; 29: 417–425.10.1016/0009-2509(74)80052-7Search in Google Scholar

Kong G, Buist K, Peters E, Kuipers J. Dual emission LIF technique for pH and concentration field measurement around a rising bubble. Exp Therm Fluid Sci 2018; 93: 186–194.10.1016/j.expthermflusci.2017.12.032Search in Google Scholar

Kotti M, Ksentini I, Mansour LB. Bubble hydrodynamic influence on oxygen transfer rate at presence of cationic and anionic surfactants in electroflotation process. J Hydrodynam Ser. B 2013; 25: 747–754.Search in Google Scholar

Kováts P, Thévenin D, Zähringer K. Investigation of mass transfer and hydrodynamics in a model bubble column. Chem Eng Technol 2017; 40: 1434–1444.10.1002/ceat.201600679Search in Google Scholar

Kováts P, Thévenin D, Zähringer K. Characterizing fluid dynamics in a bubble column aimed for the determination of reactive mass transfer. Heat Mass Transfer 2018; 54: 453–461.10.1007/s00231-017-2142-0Search in Google Scholar

Koynov A, Khinast JG, Tryggvason G. Mass transfer and chemical reactions in bubble swarms with dynamic interfaces. AIChE J 2005; 51: 2786–2800.10.1002/aic.10529Search in Google Scholar

Koynov A, Tryggvason G, Schlüter M, Khinast JG. Mass transfer and chemical reactions in reactive deformable bubble swarms. Appl Phys Lett 2006; 88: 134102.10.1063/1.2188054Search in Google Scholar

Krishna R, De Swart JW, Ellenberger J, Martina GB, Maretto C. Gas holdup in slurry bubble columns: effect of column diameter and slurry concentrations. AIChE J 1997; 43: 311–316.10.1002/aic.690430204Search in Google Scholar

Kück UD, Schlüter M, Räbiger N. Local measurement of mass transfer rate of a single bubble with and without a chemical reaction. J Chem Eng Jpn 2012; 45: 708–712.10.1252/jcej.12we059Search in Google Scholar

Kulkarni AA, Joshi JB. Simultaneous measurement of flow pattern and mass transfer coefficient in bubble columns. Chem Eng Sci 2004; 59: 271–281.10.1016/j.ces.2003.05.007Search in Google Scholar

Lau Y, Sujatha KT, Gaeini M, Deen N, Kuipers J. Experimental study of the bubble size distribution in a pseudo-2D bubble column. Chem Eng Sci 2013; 98: 203–211.10.1016/j.ces.2013.05.024Search in Google Scholar

Leonard J, Houghton G. Mass transfer and velocity of rise phenomena for single bubbles. Chem Eng Sci 1963; 18: 133–142.10.1016/0009-2509(63)80022-6Search in Google Scholar

Lessard RR, Zieminski SA. Bubble coalescence and gas transfer in aqueous electrolytic solutions. Ind Eng Chem 1971; 10: 260–269.10.1021/i160038a012Search in Google Scholar

Liang-Shih F, Tsuchiya K. Bubble wake dynamics in liquids and liquid-solid suspensions. UK: Butterworth-Heinemann, 2013.Search in Google Scholar

Linek V, Mayrhoferova J. The chemical method for the determination of the interfacial area: the influence of absorption rate on the hold-up and on the interfacial area in a heterogeneous gas-liquid system. Chem Eng Sci 1969; 24: 481–496.10.1016/0009-2509(69)85020-7Search in Google Scholar

Linek V, Moucha T, Kordač M. Mechanism of mass transfer from bubbles in dispersions: part I. Danckwerts’ plot method with sulphite solutions in the presence of viscosity and surface tension changing agents. Chem Eng Process 2005; 44: 353–361.10.1016/j.cep.2004.05.010Search in Google Scholar

Liu H, Tian H, Yao H, Yu D, Zhao W, Bai X. Improving physical absorption of carbon dioxide by ionic liquid dispersion. Chem Eng Technol 2013; 36: 1402–1410.10.1002/ceat.201300077Search in Google Scholar

Loubière K, Hébrard G. Influence of liquid surface tension (surfactants) on bubble formation at rigid and flexible orifices. Chem Eng Process 2004; 43: 1361–1369.10.1016/j.cep.2004.03.009Search in Google Scholar

Mancy K, Okun D. Effects of surface active agents on bubble aeration. J Water Pollut Control Fed 1960; 351–364.Search in Google Scholar

Marangoni C. Ueber die Ausbreitung der Tropfen einer Flüssigkeit auf der Oberfläche einer anderen. Annalen der Physik 1871; 219: 337–354.10.1002/andp.18712190702Search in Google Scholar

Masutani GK, Stenstrom MK. Dynamic surface tension effects on oxygen transfer. J Environ Eng 1991; 117: 126–142.10.1061/(ASCE)0733-9372(1991)117:1(126)Search in Google Scholar

McKeown J, Okun D. Effects of surface active agents on oxygen bubble characteristics. Air Water Pollution 1963; 7: 113–122.Search in Google Scholar

Miller D. Interfacial area, bubble coalescence and mass transfer in bubble column reactors. AIChE J 1983; 29: 312–319.10.1002/aic.690290220Search in Google Scholar

Miyahara T, Kurihara M, Asoda M, Takahashi T. Gas-liquid interfacial area and liquid-phase mass transfer coefficient in sieve plate columns without downcomer operating at high gas velocities. J Chem Eng Jpn 1990; 23: 280–285.10.1252/jcej.23.280Search in Google Scholar

Motarjemi M, Jameson G. Mass transfer from very small bubbles – the optimum bubble size for aeration. Chem Eng Sci 1978; 33: 1415–1423.10.1016/0009-2509(78)85190-2Search in Google Scholar

Orhan R, Dursun G. Effects of surfactants on hydrodynamics and mass transfer in a co-current downflow contacting column. Chem Eng Res Des 2016; 109: 477–485.10.1016/j.cherd.2016.02.030Search in Google Scholar

Painmanakul P, Loubiere K, Hebrard G, Buffière P. Study of different membrane spargers used in waste water treatment: characterisation and performance. Chem Eng Process 2004; 43: 1347–1359.10.1016/j.cep.2003.09.009Search in Google Scholar

Painmanakul P, Loubière K, Hébrard G, Mietton-Peuchot M, Roustan M. Effect of surfactants on liquid-side mass transfer coefficients. Chem Eng Sci 2005; 60: 6480–6491.10.1016/j.ces.2005.04.053Search in Google Scholar

Pesci C, Weiner A, Marschall H, Bothe D. Computational analysis of single rising bubbles influenced by soluble surfactant. J Fluid Mech 2018; 856: 709–763.10.1017/jfm.2018.723Search in Google Scholar

Pohorecki R. The absorption of CO2 in carbonate-bicarbonate buffer solutions containing hypochlorite catalyst on a sieve plate. Chem Eng Sci 1968; 23: 1447–1451.10.1016/0009-2509(68)89054-2Search in Google Scholar

Rabha S, Schubert M, Hampel U. Intrinsic flow behavior in a slurry bubble column: a study on the effect of particle size. Chem Eng Sci 2013a; 93: 401–411.10.1016/j.ces.2013.02.034Search in Google Scholar

Rabha S, Schubert M, Wagner M, Lucas D, Hampel U. Bubble size and radial gas hold-up distributions in a slurry bubble column using ultrafast electron beam X-ray tomography. AIChE J 2013b; 59: 1709–1722.10.1002/aic.13920Search in Google Scholar

Raymond DR, Zieminski SA. Mass transfer and drag coefficients of bubbles rising in dilute aqueous solutions. AIChE J 1971; 17: 57–65.10.1002/aic.690170114Search in Google Scholar

Reith T. Physical aspects of bubble dispersions in liquids doctoral thesis. Technische Universiteit Te Delft, 1968.Search in Google Scholar

Roberts D, Danckwerts P. Kinetics of CO2 absorption in alkaline solutions – I. Transient absorption rates and catalysis by arsenite. Chem Eng Sci 1962; 17: 961–969.10.1016/B978-0-08-026250-5.50020-4Search in Google Scholar

Rodrigues L, Teixeira J, Oliveira R. Low-cost fermentative medium for biosurfactant production by probiotic bacteria. Biochem Eng J 2006; 32: 135–142.10.1016/j.bej.2006.09.012Search in Google Scholar

Rosen M, Surfactants MR, Phenomena I. Surfactants and interfacial phenomena. New York: Wiley, 1978: 131–132.Search in Google Scholar

Rosso D, Stenstrom MK. Surfactant effects on α-factors in aeration systems. Water Res 2006; 40: 1397–1404.10.1016/j.watres.2006.01.044Search in Google Scholar PubMed

Rosso D, Huo DL, Stenstrom MK. Effects of interfacial surfactant contamination on bubble gas transfer. Chem Eng Sci 2006; 61: 5500–5514.10.1016/j.ces.2006.04.018Search in Google Scholar

Sadhal S, Johnson RE. Stokes flow past bubbles and drops partially coated with thin films. Part 1. Stagnant cap of surfactant film-exact solution. J Fluid Mech 1983; 126: 237–250.10.1017/S0022112083000130Search in Google Scholar

Saito T, Toriu M. Effects of a bubble and the surrounding liquid motions on the instantaneous mass transfer across the gas-liquid interface. Chem Eng J 2015; 265: 164–175.10.1016/j.cej.2014.12.039Search in Google Scholar

Sardeing R, Painmanakul P, Hébrard G. Effect of surfactants on liquid-side mass transfer coefficients in gas-liquid systems: a first step to modeling. Chem Eng Sci 2006; 61: 6249–6260.10.1016/j.ces.2006.05.051Search in Google Scholar

Savic P. Circulation and distortion of liquid drops falling through a viscous medium. Ottawa, Ontario, Canada: National Research Council Canada, 1953.Search in Google Scholar

Schulze G, Schlünder E. Physical absorption of single gas bubbles in degassed and preloaded water. Chem Eng Process 1985; 19: 27–37.10.1016/0255-2701(85)80002-7Search in Google Scholar

Shah Y, Kelkar BG, Godbole S, Deckwer WD. Design parameters estimations for bubble column reactors. AIChE J 1982; 28: 353–379.10.1002/aic.690280302Search in Google Scholar

Sharma M, Danckwerts P. Catalysis by Brönsted bases of the reaction between CO2 and water. T Faraday Soc 1963; 59: 386–395.10.1016/B978-0-08-026250-5.50035-6Search in Google Scholar

Suslick K. Kirk-Othmer encyclopedia of chemical technology. New York, NY, USA: John Wiley & Sons, 1998; 26: 517–541.Search in Google Scholar

Takemura F, Yabe A. Rising speed and dissolution rate of a carbon dioxide bubble in slightly contaminated water. J Fluid Mech 1999; 378: 319–334.10.1017/S0022112098003358Search in Google Scholar

Tasoglu S, Demirci U, Muradoglu M. The effect of soluble surfactant on the transient motion of a buoyancy-driven bubble. Phys Fluids 2008; 20: 040805.10.1063/1.2912441Search in Google Scholar

Treybal RE. Mass transfer operations. New York: McGraw-Hill Publishing, 1980.Search in Google Scholar

Vandu C, Koop K, Krishna R. Large bubble sizes and rise velocities in a bubble column slurry reactor. Chem Eng Techno 2004; 27: 1195–1199.10.1002/ceat.200402126Search in Google Scholar

Vasconcelos JM, Orvalho SP, Alves SS. Gas-liquid mass transfer to single bubbles: effect of surface contamination. AIChE journal 2002; 48: 1145–1154.10.1002/aic.690480603Search in Google Scholar

Vasconcelos J, Rodrigues J, Orvalho S, Alves S, Mendes R, Reis A. Effect of contaminants on mass transfer coefficients in bubble column and airlift contactors. Chem Eng Sci 2003; 58: 1431–1440.10.1016/S0009-2509(02)00675-9Search in Google Scholar

Vázquez G, Cancela M, Riverol C, Alvarez E, Navaza J. Application of the Danckwerts method in a bubble column: effects of surfactants on mass transfer coefficient and interfacial area. Chem Eng J 2000; 78: 13–19.10.1016/S1385-8947(99)00174-6Search in Google Scholar

Weber M. The effect of surface active agents on mass transfer from spherical cap bubbles. Chem Eng Sci 1975; 30: 1507–1510.10.1016/0009-2509(75)85028-7Search in Google Scholar

Yamada M, Saito T. A newly developed photoelectric optical fiber probe for simultaneous measurements of a CO2 bubble chord length, velocity, and void fraction and the local CO2 concentration in the surrounding liquid. Flow Meas Instrum 2012; 27: 8–19.10.1016/j.flowmeasinst.2012.04.004Search in Google Scholar

Yang N-H, Chen Y-J, Liao C-C, Chung T-W. Improved absorption in gas-liquid systems by the addition of a low surface tension component in the gas and/or liquid phase. Ind Eng Chem Res 2008; 47: 8823–8827.10.1021/ie800316nSearch in Google Scholar

Zieminski SA, Raymond DR. Experimental study of the behavior of single bubbles. Chem Eng Sci 1968; 23: 17–28.10.1016/0009-2509(68)87031-9Search in Google Scholar

Zlokarnik M. Sorption characteristics of slot injectors and their dependency on the coalescence behaviour of the system. Chem Eng Sci 1979; 34: 1265–1271.10.1016/0009-2509(79)85158-1Search in Google Scholar


Supplementary Material

The online version of this article offers supplementary material (https://doi.org/10.1515/revce-2018-0089).


Received: 2018-12-05
Accepted: 2019-08-13
Published Online: 2019-09-27
Published in Print: 2021-07-27

©2019 Walter de Gruyter GmbH, Berlin/Boston

Downloaded on 3.6.2024 from https://www.degruyter.com/document/doi/10.1515/revce-2018-0089/html
Scroll to top button