The role of small bubbles in gas–liquid mass transfer in stirred vessels and assessment of a two-fraction model for noncoalescent or moderately viscous liquids

A two-gas-fraction model previously tested with gas-phase residence time distribution tests was used to interpret experimental transient curves during K L a determinations made with a conventional dynamic method. Large bubbles are modelled by an axial dispersion model, whereas small bubbles are cons...

Full description

Saved in:
Bibliographic Details
Published inChemical engineering science Vol. 62; no. 14; pp. 3767 - 3776
Main Author Pinelli, D.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.07.2007
Elsevier
Subjects
Online AccessGet full text
ISSN0009-2509
1873-4405
DOI10.1016/j.ces.2007.03.024

Cover

Abstract A two-gas-fraction model previously tested with gas-phase residence time distribution tests was used to interpret experimental transient curves during K L a determinations made with a conventional dynamic method. Large bubbles are modelled by an axial dispersion model, whereas small bubbles are considered as perfectly mixed. The use of this two-gas-fraction model leads to a significant improvement in the fitting of the experimental curves. Furthermore, the analysis carried out suggested that what is actually observed during an experiment carried out with the dynamic method is the mass transfer of large bubbles only—even in the presence of a significant fraction of small bubbles.
AbstractList A two-gas-fraction model previously tested with gas-phase residence time distribution tests was used to interpret experimental transient curves during K L a determinations made with a conventional dynamic method. Large bubbles are modelled by an axial dispersion model, whereas small bubbles are considered as perfectly mixed. The use of this two-gas-fraction model leads to a significant improvement in the fitting of the experimental curves. Furthermore, the analysis carried out suggested that what is actually observed during an experiment carried out with the dynamic method is the mass transfer of large bubbles only—even in the presence of a significant fraction of small bubbles.
A two-gas-fraction model previously tested with gas-phase residence time distribution tests was used to interpret experimental transient curves during KLa determinations made with a conventional dynamic method. Large bubbles are modelled by an axial dispersion model, whereas small bubbles are considered as perfectly mixed. The use of this two-gas-fraction model leads to a significant improvement in the fitting of the experimental curves. Furthermore, the analysis carried out suggested that what is actually observed during an experiment carried out with the dynamic method is the mass transfer of large bubbles only-even in the presence of a significant fraction of small bubbles.
Author Pinelli, D.
Author_xml – sequence: 1
  givenname: D.
  surname: Pinelli
  fullname: Pinelli, D.
  email: davide.pinelli@mail.ing.unibo.it
  organization: Department of Chemical Mining and Environmental Engineering, University of Bologna, Viale Risorgimento 2, I-40136 Bologna, Italy
BackLink http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=18863230$$DView record in Pascal Francis
BookMark eNp9kU1uFDEQhS0UJCaBA7DzBnbd2O5_sUIRf1IkNmFtVbvL4JHbTlyeQdlxB07A1TgJ7kwkJBZZWaX6XtVzvXN2FmJAxl5KUUsh-zf72iDVSoihFk0tVPuE7eQ4NFXbiu6M7YQQU6U6MT1j50T7Ug6DFDv2-_o78hQ98mg5reA9nw_z7JG4C_wb0J-fv7y7PbiFr0DEc4JAFtPWpexSwoUfkQg9cQgLL0ypVgx5Gwg8_4iVTWCyi4GvcUHPbUy8uDcRyhZzT6b7VoKM_o4fHZl4IH5aS8_ZUwue8MXDe8G-fnh_ffmpuvry8fPlu6vKtL3M1bDM3dQOBuyItgcA1Y_GoLUWe2itbZWQHdrRTH0Li8FZdbaXnTGztEpMqrlgr09zb1K8PSBlvRYj6D0ELHa0mqZJdKMs4KsHEMiAL78LxpG-SW6FdKflOPaNakTh5IkzKRIltP8QobfQ9F6X0PQWmhaNLqEVzfCfxrgM2_HK4Z1_VPn2pCxJ4NFh0mQcBoOLS2iyXqJ7RP0Xrba5zA
CODEN CESCAC
CitedBy_id crossref_primary_10_1002_cjce_23903
crossref_primary_10_1016_j_ces_2017_04_006
crossref_primary_10_1016_j_cej_2014_08_073
crossref_primary_10_1016_j_ces_2009_09_051
crossref_primary_10_1002_cjce_20571
crossref_primary_10_1016_j_bej_2020_107614
crossref_primary_10_1016_j_bej_2009_12_008
crossref_primary_10_1252_jcej_12we129
Cites_doi 10.1002/bit.260190606
10.1016/0009-2509(94)00474-6
10.1002/bit.260331107
10.1016/0009-2509(95)00395-9
10.1016/S0009-2509(99)00343-7
10.1016/0300-9467(87)85003-7
10.1016/j.ces.2004.10.044
10.1080/00986447908935850
10.1016/0300-9467(91)85026-R
10.1016/0009-2509(92)80318-7
10.1016/S0009-2509(02)00682-6
10.1002/bit.260220912
10.1205/cherd.04122
10.1016/0009-2509(92)85066-K
10.1002/aic.690380705
ContentType Journal Article
Copyright 2007 Elsevier Ltd
2007 INIST-CNRS
Copyright_xml – notice: 2007 Elsevier Ltd
– notice: 2007 INIST-CNRS
DBID AAYXX
CITATION
IQODW
7U5
8FD
F28
FR3
L7M
DOI 10.1016/j.ces.2007.03.024
DatabaseName CrossRef
Pascal-Francis
Solid State and Superconductivity Abstracts
Technology Research Database
ANTE: Abstracts in New Technology & Engineering
Engineering Research Database
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Solid State and Superconductivity Abstracts
Engineering Research Database
Technology Research Database
Advanced Technologies Database with Aerospace
ANTE: Abstracts in New Technology & Engineering
DatabaseTitleList
Solid State and Superconductivity Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Applied Sciences
EISSN 1873-4405
EndPage 3776
ExternalDocumentID 18863230
10_1016_j_ces_2007_03_024
S0009250907002291
GroupedDBID --K
--M
-~X
.~1
0R~
1B1
1~.
1~5
29B
4.4
457
4G.
5GY
5VS
6J9
7-5
71M
8P~
9JN
AABNK
AACTN
AAEDT
AAEDW
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXUO
ABFNM
ABFRF
ABJNI
ABMAC
ABNUV
ABTAH
ABXDB
ABYKQ
ACBEA
ACDAQ
ACGFO
ACGFS
ACNCT
ACRLP
ADBBV
ADEWK
ADEZE
ADMUD
AEBSH
AEFWE
AEKER
AENEX
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AHPOS
AI.
AIDUJ
AIEXJ
AIKHN
AITUG
AJBFU
AJOXV
AKURH
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
ASPBG
AVWKF
AXJTR
AZFZN
BBWZM
BKOJK
BLXMC
CS3
DU5
EBS
EFJIC
EFLBG
EJD
ENUVR
EO8
EO9
EP2
EP3
F5P
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-Q
G8K
GBLVA
HLY
HVGLF
HZ~
IHE
J1W
KOM
LX7
M41
MO0
N9A
NDZJH
O-L
O9-
OAUVE
OZT
P-8
P-9
P2P
PC.
Q38
R2-
RIG
RNS
ROL
RPZ
SC5
SCE
SDF
SDG
SDP
SES
SEW
SPC
SPCBC
SSG
SSZ
T5K
T9H
VH1
WUQ
XFK
XPP
Y6R
ZMT
ZY4
~02
~G-
AATTM
AAXKI
AAYWO
AAYXX
ABDPE
ABWVN
ACRPL
ACVFH
ADCNI
ADNMO
AEIPS
AEUPX
AFJKZ
AFPUW
AFXIZ
AGCQF
AGQPQ
AGRNS
AIGII
AIIUN
AKBMS
AKRWK
AKYEP
ANKPU
APXCP
BNPGV
CITATION
SSH
EFKBS
IQODW
7U5
8FD
F28
FR3
L7M
ID FETCH-LOGICAL-c461t-7db5947caf8ef6aaa268ccefffe6a4ff42015ef8c964adceb25f615ccb1f20923
IEDL.DBID .~1
ISSN 0009-2509
IngestDate Fri Sep 05 04:27:22 EDT 2025
Mon Jul 21 09:14:50 EDT 2025
Thu Apr 24 22:57:16 EDT 2025
Tue Jul 01 01:16:03 EDT 2025
Fri Feb 23 02:27:43 EST 2024
IsPeerReviewed true
IsScholarly true
Issue 14
Keywords Two-bubble-size fraction model
Stirred vessel
Dynamic measuring technique
Bubble size effect
Mass transfer
Viscous liquid
Particle size
Residence time distribution
Axial mixing
Modeling
Dynamic method
Bubble
Size effect
Language English
License https://www.elsevier.com/tdm/userlicense/1.0
CC BY 4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c461t-7db5947caf8ef6aaa268ccefffe6a4ff42015ef8c964adceb25f615ccb1f20923
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
PQID 29990581
PQPubID 23500
PageCount 10
ParticipantIDs proquest_miscellaneous_29990581
pascalfrancis_primary_18863230
crossref_primary_10_1016_j_ces_2007_03_024
crossref_citationtrail_10_1016_j_ces_2007_03_024
elsevier_sciencedirect_doi_10_1016_j_ces_2007_03_024
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2007-07-01
PublicationDateYYYYMMDD 2007-07-01
PublicationDate_xml – month: 07
  year: 2007
  text: 2007-07-01
  day: 01
PublicationDecade 2000
PublicationPlace Oxford
PublicationPlace_xml – name: Oxford
PublicationTitle Chemical engineering science
PublicationYear 2007
Publisher Elsevier Ltd
Elsevier
Publisher_xml – name: Elsevier Ltd
– name: Elsevier
References Kantak, Hesketh, Keldar (bib6) 1995; 59
Nocentini (bib16) 1990; 68
Pinelli (bib19) 2005; 60
Mann, Mavros, Middleton (bib13) 1981; 64
Heijnen, van’t Riet, Wolthuis (bib5) 1980; 22
Shioya, Dunn (bib21) 1979; 3
Moucha, Linek, Prokopová (bib14) 2003; 58
Dang, Karrer, Dunn (bib3) 1977; 19
Pinelli, Nocentini, Magelli (bib17) 1994; 136
Barigou, Greaves (bib1) 1992; 47
Linek, Sinkule (bib9) 1991; 69
Calderbank (bib2) 1959; 37
Muller, Davison (bib15) 1992; 47
Havelka, Linek, Sinkule, Zahradník, Fialová (bib4) 2000; 55
Laakkonen, Moilanen, Miettinen, Saari, Hinkanen, Saarenrinne, Aittamaa (bib8) 2005; 83
Linek, Beneš, Vacek (bib11) 1989; 33
Linek, Vacek, Beneš (bib10) 1987; 34
Shetty, Kantak, Keldar (bib20) 1992; 38
Khare, Niranjan (bib7) 1995; 50
Patankar (bib18) 1980
Vasconcelos, Alves (bib22) 1991; 47
Linek, Moucha, Sinkule (bib12) 1996; 51
Shioya (10.1016/j.ces.2007.03.024_bib21) 1979; 3
Barigou (10.1016/j.ces.2007.03.024_bib1) 1992; 47
Nocentini (10.1016/j.ces.2007.03.024_bib16) 1990; 68
Vasconcelos (10.1016/j.ces.2007.03.024_bib22) 1991; 47
Pinelli (10.1016/j.ces.2007.03.024_bib19) 2005; 60
Laakkonen (10.1016/j.ces.2007.03.024_bib8) 2005; 83
Mann (10.1016/j.ces.2007.03.024_bib13) 1981; 64
Muller (10.1016/j.ces.2007.03.024_bib15) 1992; 47
Calderbank (10.1016/j.ces.2007.03.024_bib2) 1959; 37
Shetty (10.1016/j.ces.2007.03.024_bib20) 1992; 38
Heijnen (10.1016/j.ces.2007.03.024_bib5) 1980; 22
Linek (10.1016/j.ces.2007.03.024_bib12) 1996; 51
Pinelli (10.1016/j.ces.2007.03.024_bib17) 1994; 136
Patankar (10.1016/j.ces.2007.03.024_bib18) 1980
Havelka (10.1016/j.ces.2007.03.024_bib4) 2000; 55
Linek (10.1016/j.ces.2007.03.024_bib9) 1991; 69
Linek (10.1016/j.ces.2007.03.024_bib10) 1987; 34
Moucha (10.1016/j.ces.2007.03.024_bib14) 2003; 58
Kantak (10.1016/j.ces.2007.03.024_bib6) 1995; 59
Dang (10.1016/j.ces.2007.03.024_bib3) 1977; 19
Khare (10.1016/j.ces.2007.03.024_bib7) 1995; 50
Linek (10.1016/j.ces.2007.03.024_bib11) 1989; 33
References_xml – volume: 136
  start-page: 81
  year: 1994
  end-page: 88
  ident: bib17
  article-title: Hold-up in low viscosity gas–liquid systems stirred with multiple impellers
  publication-title: I Chem E Symposium Series No.
– volume: 83
  start-page: 50
  year: 2005
  end-page: 58
  ident: bib8
  article-title: Local bubble size distributions in agitated vessel
  publication-title: Comparison of three experimental techniques. Chemical Engineering Research and Design
– volume: 34
  start-page: 11
  year: 1987
  end-page: 34
  ident: bib10
  article-title: A critical review and experimental verification of the correct use of the dynamic method for the determination of oxygen transfer in aerated agitated vessels to water, electrolytic solutions and viscous liquids
  publication-title: Chemical Engineering Journal
– volume: 68
  start-page: 287
  year: 1990
  end-page: 294
  ident: bib16
  article-title: Mass transfer in gas–liquid, multiple-impeller stirred vessels: a discussion about experimental techniques for
  publication-title: Chemical Engineering Research and Design
– volume: 55
  start-page: 535
  year: 2000
  end-page: 549
  ident: bib4
  article-title: Hydrodynamic and mass transfer characteristics of ejector loop reactors
  publication-title: Chemical Engineering Science
– volume: 47
  start-page: B35
  year: 1991
  end-page: B44
  ident: bib22
  article-title: Direct dynamic
  publication-title: Chemical Engineering Journal
– volume: 47
  start-page: 2009
  year: 1992
  end-page: 2025
  ident: bib1
  article-title: Bubble-size distributions in a mechanically agitated gas–liquid contactor
  publication-title: Chemical Engineering Science
– volume: 19
  start-page: 853
  year: 1977
  end-page: 865
  ident: bib3
  article-title: Oxygen transfer coefficients by dynamic model moment analysis
  publication-title: Biotechnology and Bioengineering
– volume: 22
  start-page: 1945
  year: 1980
  end-page: 1956
  ident: bib5
  article-title: Influence of very small bubbles on the dynamic
  publication-title: Biotechnology and Bioengineering
– volume: 64
  start-page: G1
  year: 1981
  end-page: G14
  ident: bib13
  article-title: Mixing in a gas–liquid stirred vessel from observations of dynamic gas disengagement
  publication-title: IChemE Symposium Series No.
– volume: 51
  start-page: 3203
  year: 1996
  end-page: 3212
  ident: bib12
  article-title: Gas–liquid mass transfer in vessels stirred with multiple impellers—I Gas–liquid mass transfer characteristics in individual stages
  publication-title: Chemical Engineering Science
– volume: 37
  start-page: 173
  year: 1959
  end-page: 185
  ident: bib2
  article-title: Physical rate processes in industrial fermentation. part II: mass transfer coefficient in gas–liquid contacting with and without mechanical agitation
  publication-title: Transactions of the Institute of Chemical Engineering
– volume: 60
  start-page: 2239
  year: 2005
  end-page: 2252
  ident: bib19
  article-title: A phenomenological model for the gas phase flow in high-aspect-ratio stirred vessels: the role of small bubbles in non-coalescent and moderately viscous liquids
  publication-title: Chemical Engineering Science
– volume: 38
  start-page: 1013
  year: 1992
  end-page: 1026
  ident: bib20
  article-title: Gas-phase backmixing in bubble-column reactors
  publication-title: A.I.Ch.E Journal
– volume: 59
  start-page: 91
  year: 1995
  end-page: 100
  ident: bib6
  article-title: Effect of gas and liquid properties on gas phase dispersion in bubbles columns
  publication-title: Chemical Engineering Journal
– year: 1980
  ident: bib18
  article-title: Numerical heat transfer and fluid flow
  publication-title: Series in Computational Methods in Mechanics and Thermal Science
– volume: 3
  start-page: 41
  year: 1979
  end-page: 52
  ident: bib21
  article-title: Model comparisons for dynamic
  publication-title: Chemical Engineering Communications
– volume: 58
  start-page: 1839
  year: 2003
  end-page: 1846
  ident: bib14
  article-title: Gas hold-up, mixing time and gas–liquid volumetric mass transfer coefficient of various multiple-impeller configurations: Rushton turbine, pitched blade and techmix impeller and their combinations
  publication-title: Chemical Engineering Science
– volume: 33
  start-page: 1406
  year: 1989
  end-page: 1412
  ident: bib11
  article-title: Dynamic pressure method for
  publication-title: Biotechnology and Bioengineering
– volume: 50
  start-page: 1091
  year: 1995
  end-page: 1105
  ident: bib7
  article-title: Impeller-agitated aerobic reactor: the influence of tiny bubbles on gas hold-up and mass transfer in highly viscous liquids
  publication-title: Chemical Engineering Science
– volume: 47
  start-page: 3525
  year: 1992
  end-page: 3532
  ident: bib15
  article-title: On the contribution of small bubbles to mass transfer in bubble columns containing highly viscous liquids
  publication-title: Chemical Engineering Science
– volume: 69
  start-page: 308
  year: 1991
  end-page: 312
  ident: bib9
  article-title: The influence of gas and liquid axial dispersion on determination of
  publication-title: Chemical Engineering Research and Design
– volume: 64
  start-page: G1
  year: 1981
  ident: 10.1016/j.ces.2007.03.024_bib13
  article-title: Mixing in a gas–liquid stirred vessel from observations of dynamic gas disengagement
  publication-title: IChemE Symposium Series No.
– volume: 19
  start-page: 853
  year: 1977
  ident: 10.1016/j.ces.2007.03.024_bib3
  article-title: Oxygen transfer coefficients by dynamic model moment analysis
  publication-title: Biotechnology and Bioengineering
  doi: 10.1002/bit.260190606
– volume: 50
  start-page: 1091
  year: 1995
  ident: 10.1016/j.ces.2007.03.024_bib7
  article-title: Impeller-agitated aerobic reactor: the influence of tiny bubbles on gas hold-up and mass transfer in highly viscous liquids
  publication-title: Chemical Engineering Science
  doi: 10.1016/0009-2509(94)00474-6
– volume: 33
  start-page: 1406
  year: 1989
  ident: 10.1016/j.ces.2007.03.024_bib11
  article-title: Dynamic pressure method for kLa measurement in large-scale bioreactors
  publication-title: Biotechnology and Bioengineering
  doi: 10.1002/bit.260331107
– volume: 51
  start-page: 3203
  year: 1996
  ident: 10.1016/j.ces.2007.03.024_bib12
  article-title: Gas–liquid mass transfer in vessels stirred with multiple impellers—I Gas–liquid mass transfer characteristics in individual stages
  publication-title: Chemical Engineering Science
  doi: 10.1016/0009-2509(95)00395-9
– volume: 68
  start-page: 287
  year: 1990
  ident: 10.1016/j.ces.2007.03.024_bib16
  article-title: Mass transfer in gas–liquid, multiple-impeller stirred vessels: a discussion about experimental techniques for KLa measurements and models comparison
  publication-title: Chemical Engineering Research and Design
– volume: 55
  start-page: 535
  year: 2000
  ident: 10.1016/j.ces.2007.03.024_bib4
  article-title: Hydrodynamic and mass transfer characteristics of ejector loop reactors
  publication-title: Chemical Engineering Science
  doi: 10.1016/S0009-2509(99)00343-7
– volume: 34
  start-page: 11
  year: 1987
  ident: 10.1016/j.ces.2007.03.024_bib10
  article-title: A critical review and experimental verification of the correct use of the dynamic method for the determination of oxygen transfer in aerated agitated vessels to water, electrolytic solutions and viscous liquids
  publication-title: Chemical Engineering Journal
  doi: 10.1016/0300-9467(87)85003-7
– volume: 60
  start-page: 2239
  year: 2005
  ident: 10.1016/j.ces.2007.03.024_bib19
  article-title: A phenomenological model for the gas phase flow in high-aspect-ratio stirred vessels: the role of small bubbles in non-coalescent and moderately viscous liquids
  publication-title: Chemical Engineering Science
  doi: 10.1016/j.ces.2004.10.044
– volume: 3
  start-page: 41
  year: 1979
  ident: 10.1016/j.ces.2007.03.024_bib21
  article-title: Model comparisons for dynamic kLa measurements with incompletely mixed phases
  publication-title: Chemical Engineering Communications
  doi: 10.1080/00986447908935850
– volume: 47
  start-page: B35
  year: 1991
  ident: 10.1016/j.ces.2007.03.024_bib22
  article-title: Direct dynamic kLa measurement in viscous fermentation broths—the residual gas hold-up problem
  publication-title: Chemical Engineering Journal
  doi: 10.1016/0300-9467(91)85026-R
– volume: 59
  start-page: 91
  year: 1995
  ident: 10.1016/j.ces.2007.03.024_bib6
  article-title: Effect of gas and liquid properties on gas phase dispersion in bubbles columns
  publication-title: Chemical Engineering Journal
– volume: 47
  start-page: 2009
  year: 1992
  ident: 10.1016/j.ces.2007.03.024_bib1
  article-title: Bubble-size distributions in a mechanically agitated gas–liquid contactor
  publication-title: Chemical Engineering Science
  doi: 10.1016/0009-2509(92)80318-7
– volume: 58
  start-page: 1839
  year: 2003
  ident: 10.1016/j.ces.2007.03.024_bib14
  article-title: Gas hold-up, mixing time and gas–liquid volumetric mass transfer coefficient of various multiple-impeller configurations: Rushton turbine, pitched blade and techmix impeller and their combinations
  publication-title: Chemical Engineering Science
  doi: 10.1016/S0009-2509(02)00682-6
– volume: 69
  start-page: 308
  year: 1991
  ident: 10.1016/j.ces.2007.03.024_bib9
  article-title: The influence of gas and liquid axial dispersion on determination of KLa by dynamic method
  publication-title: Chemical Engineering Research and Design
– volume: 22
  start-page: 1945
  year: 1980
  ident: 10.1016/j.ces.2007.03.024_bib5
  article-title: Influence of very small bubbles on the dynamic KLa measurement in viscous gas–liquid systems
  publication-title: Biotechnology and Bioengineering
  doi: 10.1002/bit.260220912
– volume: 37
  start-page: 173
  year: 1959
  ident: 10.1016/j.ces.2007.03.024_bib2
  article-title: Physical rate processes in industrial fermentation. part II: mass transfer coefficient in gas–liquid contacting with and without mechanical agitation
  publication-title: Transactions of the Institute of Chemical Engineering
– volume: 83
  start-page: 50
  year: 2005
  ident: 10.1016/j.ces.2007.03.024_bib8
  article-title: Local bubble size distributions in agitated vessel
  publication-title: Comparison of three experimental techniques. Chemical Engineering Research and Design
  doi: 10.1205/cherd.04122
– year: 1980
  ident: 10.1016/j.ces.2007.03.024_bib18
  article-title: Numerical heat transfer and fluid flow
– volume: 47
  start-page: 3525
  year: 1992
  ident: 10.1016/j.ces.2007.03.024_bib15
  article-title: On the contribution of small bubbles to mass transfer in bubble columns containing highly viscous liquids
  publication-title: Chemical Engineering Science
  doi: 10.1016/0009-2509(92)85066-K
– volume: 136
  start-page: 81
  year: 1994
  ident: 10.1016/j.ces.2007.03.024_bib17
  article-title: Hold-up in low viscosity gas–liquid systems stirred with multiple impellers
  publication-title: I Chem E Symposium Series No.
– volume: 38
  start-page: 1013
  issue: 7
  year: 1992
  ident: 10.1016/j.ces.2007.03.024_bib20
  article-title: Gas-phase backmixing in bubble-column reactors
  publication-title: A.I.Ch.E Journal
  doi: 10.1002/aic.690380705
SSID ssj0007710
Score 1.891869
Snippet A two-gas-fraction model previously tested with gas-phase residence time distribution tests was used to interpret experimental transient curves during K L a...
A two-gas-fraction model previously tested with gas-phase residence time distribution tests was used to interpret experimental transient curves during KLa...
SourceID proquest
pascalfrancis
crossref
elsevier
SourceType Aggregation Database
Index Database
Enrichment Source
Publisher
StartPage 3767
SubjectTerms Applied sciences
Bubble size effect
Chemical engineering
Dynamic measuring technique
Exact sciences and technology
Heat and mass transfer. Packings, plates
Mass transfer
Mixing
Stirred vessel
Two-bubble-size fraction model
Title The role of small bubbles in gas–liquid mass transfer in stirred vessels and assessment of a two-fraction model for noncoalescent or moderately viscous liquids
URI https://dx.doi.org/10.1016/j.ces.2007.03.024
https://www.proquest.com/docview/29990581
Volume 62
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3LbtUwELWqsgGhiqe4UC6zYIWU1k6c2FlWFdUFRFdU6s6yHRsFpcklyW3FBvEPfAG_1i9hnEdLheiCZfyWZ-w5E8-DkNeMaZQKWRG5VMQRd7mPJHP46QS3klFPh3Q-H4-z1Ql_f5qebpHD2RcmmFVOd_94pw-39VSyP-3m_rosg48vzVGAo3YXBNHowc5F4PW979dmHkIwOmdTC63nl83BxguP4hTFMNmjMf-XbLq_1h3umB9TXfx1aw-i6OgB2ZkwJByMy3xItlz9iNz7I7LgY_ILyQ_BchAaD92ZriowG2Mq10FZw2fdXf74WZVfN2UBZwifoR_wq2tDLR76tnUFnIew4lUHui5AXwXwDANq6C-ayLejUwQM2XQA0S_UTW0bPYWIAiwIVSEYRfUNzsvONpsOxmm7J-Tk6O2nw1U0ZWOILM9YH4nCpDkXVnvpfKa1jjNprfPeu0xz7zlCidR5afOM68Kixp56hEvWGuZjpFTylGzjKtwzAoYalJHSG9SnuItzY1Bp8YLlOA5CkGRB6EwHZadQ5SFjRqVmm7QvCkkXUmgKRROFpFuQN1dd1mOcjtsa85m46gazKZQjt3Vb3mCE64mkzBLU5Rbk1cwZCk9peHrRtcOtVSj0c5pK9vz_Zn5B7s7_lCnbJdt9u3EvEQz1Zjlw-5LcOXj3YXX8G840Dow
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Lb9QwELaq7QEQQjzFFmjnwAkp1E6cxDlWFdWWtntqpd4s27FRUJosSbaoN_4Dv4C_xi9hnMdCheiBY5z4Ic945pt4HoS8ZUyhVkjywMZpGHCbuUAwi4825UYw6mhfzudsmSwu-MfL-HKLHE6xMN6tcpT9g0zvpfXYsj_u5v6qKHyML81QgaN15xWRj2Df5jFaezOyfXB8slhuBHKaMjoVVPMdpsvN3s0LT-OYyDB6T0P-L_X0cKVa3DQ3VLv4S3D32ujoMXk0wkg4GFb6hGzZ6il58EdywWfkB3IAeOdBqB20V6osQa-1Lm0LRQWfVPvz2_ey-LIucrhCBA1dD2Ft49_iuW8am8O1zyxetqCqHNQmh6cfUEH3tQ5cM8RFQF9QBxAAQ1VXplZjlijABv_K56Mob-C6aE29bmGYtn1OLo4-nB8ugrEgQ2B4wrogzXWc8dQoJ6xLlFJhIoyxzjmbKO4cRzQRWydMlnCVGzTaY4eIyRjNXIjEil6QGa7CviSgqUY1KZxGk4rbMNMa7RaXsgzHQRQSzQmd6CDNmK3cF80o5eSW9lki6XwVzVTSSCLp5uTdpstqSNVx18d8Iq68xW8SVcld3XZvMcLviYRIIjTn5mRv4gyJB9XfvqjK4tZK1PsZjQXb-b-Z98i9xfnZqTw9Xp68IvenX8yUvSazrlnbN4iNOr078v4vDDARQw
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=The+role+of+small+bubbles+in+gas-liquid+mass+transfer+in+stirred+vessels+and+assessment+of+a+two-fraction+model+for+noncoalescent+or+moderately+viscous+liquids&rft.jtitle=Chemical+engineering+science&rft.au=Pinelli%2C+D&rft.date=2007-07-01&rft.issn=0009-2509&rft.volume=62&rft.issue=14&rft.spage=3767&rft.epage=3776&rft_id=info:doi/10.1016%2Fj.ces.2007.03.024&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0009-2509&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0009-2509&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0009-2509&client=summon