Characterization of Bubble Shapes in Non‐Newtonian Fluids by Parametric Equations
Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters (α, β) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate‐tear with good acc...
Saved in:
| Published in | Chemical engineering & technology Vol. 42; no. 11; pp. 2321 - 2330 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Frankfurt
Wiley Subscription Services, Inc
01.11.2019
Wiley-VCH Verlag |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters (α, β) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate‐tear with good accuracy. Several impacts on bubble deformation were investigated, involving the rheological properties of the fluids and different forces exerted on the bubble, which were quantified by multiple dimensionless numbers (e.g., Reynolds, Eötvös, and Deborah number). Within a wide range, the empirical correlations were obtained for parameter β, and between α and β. Together with the shape model, a complete system was set up for bubble shape characterization and prediction that will provide new ideas for future studies on bubble hydrodynamics.
Characterization of bubble shapes in non‐Newtonian fluids, from spherical/ellipsoidal to prolate/oblate‐tear, was achieved based both on experiments with single air bubbles rising in stagnant fluids and on a new model containing the aspect ratio and two parameters. The cusp of the bubbles is related to the viscoelasticity and the shear‐thinning level of the solutions. |
|---|---|
| AbstractList | Based on experiments with single air bubbles rising in stagnant non-Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters (alpha, beta) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate-tear with good accuracy. Several impacts on bubble deformation were investigated, involving the rheological properties of the fluids and different forces exerted on the bubble, which were quantified by multiple dimensionless numbers (e.g., Reynolds, Eotvos, and Deborah number). Within a wide range, the empirical correlations were obtained for parameter beta, and between alpha and beta. Together with the shape model, a complete system was set up for bubble shape characterization and prediction that will provide new ideas for future studies on bubble hydrodynamics. Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters (α, β) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate‐tear with good accuracy. Several impacts on bubble deformation were investigated, involving the rheological properties of the fluids and different forces exerted on the bubble, which were quantified by multiple dimensionless numbers (e.g., Reynolds, Eötvös, and Deborah number). Within a wide range, the empirical correlations were obtained for parameter β, and between α and β. Together with the shape model, a complete system was set up for bubble shape characterization and prediction that will provide new ideas for future studies on bubble hydrodynamics. Abstract Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio ( E ) and two parameters ( α, β ) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate‐tear with good accuracy. Several impacts on bubble deformation were investigated, involving the rheological properties of the fluids and different forces exerted on the bubble, which were quantified by multiple dimensionless numbers (e.g., Reynolds, Eötvös, and Deborah number). Within a wide range, the empirical correlations were obtained for parameter β , and between α and β . Together with the shape model, a complete system was set up for bubble shape characterization and prediction that will provide new ideas for future studies on bubble hydrodynamics. Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters (α, β) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate‐tear with good accuracy. Several impacts on bubble deformation were investigated, involving the rheological properties of the fluids and different forces exerted on the bubble, which were quantified by multiple dimensionless numbers (e.g., Reynolds, Eötvös, and Deborah number). Within a wide range, the empirical correlations were obtained for parameter β, and between α and β. Together with the shape model, a complete system was set up for bubble shape characterization and prediction that will provide new ideas for future studies on bubble hydrodynamics. Characterization of bubble shapes in non‐Newtonian fluids, from spherical/ellipsoidal to prolate/oblate‐tear, was achieved based both on experiments with single air bubbles rising in stagnant fluids and on a new model containing the aspect ratio and two parameters. The cusp of the bubbles is related to the viscoelasticity and the shear‐thinning level of the solutions. |
| Author | Dietrich, Nicolas Midoux, Noel Li, Huai-Zhi Hébrard, Gilles Xu, Feishi |
| Author_xml | – sequence: 1 givenname: Feishi surname: Xu fullname: Xu, Feishi organization: Université de Toulouse – sequence: 2 givenname: Noel surname: Midoux fullname: Midoux, Noel organization: Université de Lorraine – sequence: 3 givenname: Huai-Zhi surname: Li fullname: Li, Huai-Zhi organization: Université de Lorraine – sequence: 4 givenname: Gilles surname: Hébrard fullname: Hébrard, Gilles organization: Université de Toulouse – sequence: 5 givenname: Nicolas surname: Dietrich fullname: Dietrich, Nicolas email: nicolas.dietrich@insa-toulouse.fr organization: Université de Toulouse |
| BackLink | https://hal.science/hal-02274472$$DView record in HAL |
| BookMark | eNqFkDtPwzAUhS0EEuWxMltiYki5tuM8xlKVh1QVpJbZuk4c1SjExU5AZeIn8Bv5JaQUlZHpPvSdo6NzRPYb1xhCzhgMGQC_LAy2Qw4sA0hy2CMDJjmLYsblPhlALiBKJUsOyVEITwDA-mNA5uMleixa4-07ttY11FX0qtO6NnS-xJUJ1DZ05pqvj8-ZeWtdY7Gh13Vny0D1mj706mfTelvQyUv34xBOyEGFdTCnv_OYPF5PFuPbaHp_czceTaMi5hlEScklSlbqWMpSij5gIbTQuZBSZCiLtOQYF_3KuNaoIak0lpVBFCzNUpaIY3Kx9V1irVbePqNfK4dW3Y6mavMDztM4Tvkr69nzLbvy7qUzoVVPrvNNH09xAWnCRZpsqOGWKrwLwZtqZ8tAbUpWm5LVruRekG8Fb7Y2639oNZ6MFn_abz6jgjY |
| CitedBy_id | crossref_primary_10_1002_cjce_25086 crossref_primary_10_1515_arh_2020_0116 crossref_primary_10_1016_j_apm_2021_10_009 crossref_primary_10_7498_aps_69_20200425 crossref_primary_10_2174_1872212118666230515110322 crossref_primary_10_1016_j_ijmultiphaseflow_2024_104789 crossref_primary_10_1021_acs_jchemed_0c00233 |
| Cites_doi | 10.1016/j.jnnfm.2010.02.012 10.1021/ie2006577 10.1016/S0009-2509(99)00385-1 10.1016/0009-2509(68)87018-6 10.1016/j.compfluid.2013.09.015 10.1201/9781420015386 10.1080/00986440701446128 10.1021/acs.jchemed.8b00898 10.1252/kakoronbunshu.33.402 10.1002/aic.690120210 10.1146/annurev-fluid-122316-045114 10.1016/j.jcp.2007.12.002 10.1007/978-1-4612-5317-4 10.1002/cjce.5450810321 10.1063/1.4705527 10.1007/s00231-018-2297-3 10.1007/BF01337462 10.1016/0009-2509(68)80024-7 10.1002/cjce.5450370107 10.1021/acs.iecr.8b03617 10.1002/aic.690120506 10.1252/kakoronbunshu1953.25.254 10.1016/j.ces.2013.02.032 10.1016/j.expthermflusci.2014.11.018 10.1299/jfst.2.184 10.1205/cherd.01229 10.1017/S0022112059000520 10.1016/0009-2509(86)85078-3 10.1016/j.ijmultiphaseflow.2014.05.001 10.1063/1.3051374 10.1017/S0022112064000349 10.1016/j.ces.2011.01.019 10.1007/978-1-4419-6494-6_1 10.1007/BF01171684 |
| ContentType | Journal Article |
| Copyright | 2019 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim Distributed under a Creative Commons Attribution 4.0 International License |
| Copyright_xml | – notice: 2019 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim – notice: Distributed under a Creative Commons Attribution 4.0 International License |
| DBID | AAYXX CITATION 7U5 8FD L7M 1XC VOOES |
| DOI | 10.1002/ceat.201800690 |
| DatabaseName | CrossRef Solid State and Superconductivity Abstracts Technology Research Database Advanced Technologies Database with Aerospace Hyper Article en Ligne (HAL) Hyper Article en Ligne (HAL) (Open Access) |
| DatabaseTitle | CrossRef Technology Research Database Advanced Technologies Database with Aerospace Solid State and Superconductivity Abstracts |
| DatabaseTitleList | Technology Research Database CrossRef |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1521-4125 |
| EndPage | 2330 |
| ExternalDocumentID | oai_HAL_hal_02274472v1 10_1002_ceat_201800690 CEAT201800690 |
| Genre | article |
| GrantInformation_xml | – fundername: China Scholarship Council |
| GroupedDBID | .3N .GA .Y3 05W 0R~ 10A 1L6 1OB 1OC 1ZS 29B 31~ 33P 3SF 3WU 4.4 4ZD 50Y 50Z 51W 51X 52M 52N 52O 52P 52S 52T 52U 52W 52X 5GY 5VS 66C 702 7PT 8-0 8-1 8-3 8-4 8-5 8UM 930 A03 AAESR AAEVG AAHHS AANLZ AAONW AASGY AAXRX AAZKR ABCQN ABCUV ABDBF ABEML ABIJN ABTAH ACAHQ ACBWZ ACCFJ ACCZN ACGFS ACPOU ACSCC ACXBN ACXQS ADBBV ADEOM ADIZJ ADKYN ADMGS ADOZA ADZMN ADZOD AEEZP AEIGN AEIMD AENEX AEQDE AEUQT AEUYR AFBPY AFFPM AFGKR AFPWT AFZJQ AHBTC AITYG AIURR AIWBW AJBDE AJXKR ALAGY ALMA_UNASSIGNED_HOLDINGS ALUQN AMBMR AMYDB ASPBG ATUGU AUFTA AVWKF AZBYB AZFZN AZVAB BAFTC BDRZF BFHJK BHBCM BLYAC BMNLL BNHUX BROTX BRXPI BY8 CS3 D-E D-F DCZOG DPXWK DR1 DR2 DRFUL DRSTM DU5 EBS EJD F00 F01 F04 FEDTE G-S G.N GNP GODZA H.T H.X HF~ HGLYW HHY HVGLF HZ~ I-F IX1 J0M JPC KQQ LATKE LAW LC2 LC3 LEEKS LH4 LH6 LITHE LOXES LP6 LP7 LUTES LW6 LYRES MEWTI MK4 MRFUL MRSTM MSFUL MSSTM MXFUL MXSTM N04 N05 N9A NDZJH NF~ NNB O66 O9- OIG P2P P2W P2X P4D PALCI Q.N Q11 QB0 QRW R.K RBB RIWAO RJQFR ROL RWI RX1 RYL SAMSI SUPJJ TUS UB1 V2E W8V W99 WBFHL WBKPD WIB WIH WIK WOHZO WQJ WRC WSB WXSBR WYISQ XG1 XPP XV2 ZY4 ZZTAW ~IA ~WT AAYXX CITATION 7U5 8FD L7M 1XC VOOES |
| ID | FETCH-LOGICAL-c4280-6d25a51db455d53930c3b3b935538a5c7d2a4c38a12bbab06fbadfeaa31787163 |
| IEDL.DBID | DR2 |
| ISSN | 0930-7516 |
| IngestDate | Tue Oct 15 15:44:06 EDT 2024 Thu Oct 10 18:08:26 EDT 2024 Fri Aug 23 01:43:43 EDT 2024 Sat Aug 24 01:10:08 EDT 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 11 |
| Keywords | gas-liquid system non-Newtonian fluid bubble shape bubble dynamics |
| Language | English |
| License | Distributed under a Creative Commons Attribution 4.0 International License: http://creativecommons.org/licenses/by/4.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c4280-6d25a51db455d53930c3b3b935538a5c7d2a4c38a12bbab06fbadfeaa31787163 |
| ORCID | 0000-0001-7129-6660 0000-0001-6169-3101 |
| OpenAccessLink | https://hal.science/hal-02274472 |
| PQID | 2307623761 |
| PQPubID | 2045181 |
| PageCount | 10 |
| ParticipantIDs | hal_primary_oai_HAL_hal_02274472v1 proquest_journals_2307623761 crossref_primary_10_1002_ceat_201800690 wiley_primary_10_1002_ceat_201800690_CEAT201800690 |
| PublicationCentury | 2000 |
| PublicationDate | November 2019 |
| PublicationDateYYYYMMDD | 2019-11-01 |
| PublicationDate_xml | – month: 11 year: 2019 text: November 2019 |
| PublicationDecade | 2010 |
| PublicationPlace | Frankfurt |
| PublicationPlace_xml | – name: Frankfurt |
| PublicationTitle | Chemical engineering & technology |
| PublicationYear | 2019 |
| Publisher | Wiley Subscription Services, Inc Wiley-VCH Verlag |
| Publisher_xml | – name: Wiley Subscription Services, Inc – name: Wiley-VCH Verlag |
| References | 1968; 23 1970; 6 2003; 81 2013; 88 2019; 96 2010 2010; 165 1998 2008 2007 2006 2008; 227 1966; 12 2007; 33 2014; 65 1959; 6 1978 2012; 51 1976; 54 2010; 20 2006; 84 1986; 41 1964; 18 1990 2007; 194 2015; 62 1964; 17 2000; 55 2013; 94 1988; 27 2019 2011; 66 2007; 2 2018; 50 1980 2012; 24 1959; 37 2018; 54 1961; 25 2016; 47 2018; 57 e_1_2_7_6_1 e_1_2_7_5_1 e_1_2_7_3_1 e_1_2_7_9_1 e_1_2_7_8_1 e_1_2_7_7_1 Davidson R. L. (e_1_2_7_33_1) 1980 e_1_2_7_18_1 e_1_2_7_17_1 e_1_2_7_16_1 e_1_2_7_40_1 e_1_2_7_2_1 e_1_2_7_15_1 e_1_2_7_41_1 e_1_2_7_14_1 e_1_2_7_42_1 e_1_2_7_13_1 e_1_2_7_43_1 e_1_2_7_44_1 e_1_2_7_11_1 e_1_2_7_10_1 e_1_2_7_26_1 e_1_2_7_27_1 e_1_2_7_28_1 e_1_2_7_29_1 Fan L.‐S. (e_1_2_7_25_1) 1990 Clift R. (e_1_2_7_38_1) 1978 Yan H. (e_1_2_7_32_1) 2016; 47 Kherbeche A. (e_1_2_7_19_1) 2019 Grace J. (e_1_2_7_4_1) 1976; 54 e_1_2_7_30_1 e_1_2_7_31_1 e_1_2_7_24_1 e_1_2_7_23_1 e_1_2_7_22_1 e_1_2_7_34_1 e_1_2_7_21_1 e_1_2_7_35_1 e_1_2_7_20_1 e_1_2_7_36_1 e_1_2_7_37_1 e_1_2_7_39_1 Hassan N. M. S. (e_1_2_7_12_1) 2010; 20 |
| References_xml | – volume: 23 start-page: 901 year: 1968 end-page: 911 publication-title: Chem. Eng. Sci. – volume: 33 start-page: 402 year: 2007 end-page: 408 publication-title: Kagaku Kogaku Ronbunshu – volume: 194 start-page: 1623 year: 2007 end-page: 1637 publication-title: Chem. Eng. Commun. – volume: 50 start-page: 505 year: 2018 end-page: 534 publication-title: Annu. Rev. Fluid Mech. – volume: 47 start-page: 2513 year: 2016 end-page: 2520 publication-title: J. Cent. South Univ. Sci. Technol. – volume: 12 start-page: 854 year: 1966 end-page: 862 publication-title: AIChE J. – year: 2007 – volume: 27 start-page: 656 year: 1988 end-page: 660 publication-title: Rheol. Acta – volume: 65 start-page: 11 year: 2014 end-page: 23 publication-title: Int. J. Multiphase Flow – volume: 51 start-page: 2084 year: 2012 end-page: 2093 publication-title: Ind. Eng. Chem. Res. – volume: 18 start-page: 466 year: 1964 end-page: 476 publication-title: J. Fluid Mech. – volume: 54 start-page: 167 year: 1976 end-page: 173 publication-title: Trans. Inst. Chem. Eng. – volume: 17 start-page: 62 year: 1964 publication-title: Phys. Today – volume: 6 start-page: 113 year: 1959 end-page: 130 publication-title: J. Fluid Mech. – volume: 227 start-page: 3358 year: 2008 end-page: 3382 publication-title: J. Comput. Phys. – year: 1990 – volume: 66 start-page: 3441 year: 2011 end-page: 3451 publication-title: Chem. Eng. Sci. – volume: 41 start-page: 2273 year: 1986 end-page: 2283 publication-title: Chem. Eng. Sci. – year: 1998 – start-page: 3 year: 2010 end-page: 34 – volume: 165 start-page: 555 year: 2010 end-page: 567 publication-title: J. Non‐Newton. Fluid Mech. – volume: 12 start-page: 253 year: 1966 end-page: 259 publication-title: AIChE J. – volume: 2 start-page: 184 year: 2007 end-page: 195 publication-title: J. Fluid Sci. Technol. – volume: 54 start-page: 2163 issue: 7 year: 2018 end-page: 2171 publication-title: Heat Mass Transfer – volume: 20 start-page: 65102 year: 2010 publication-title: Appl. Rheol. – year: 2019 publication-title: Chem. Eng. J. – volume: 23 start-page: 427 year: 1968 end-page: 434 publication-title: Chem. Eng. Sci. – volume: 96 start-page: 979 issue: 5 year: 2019 end-page: 984 publication-title: J. Chem. Educ. – year: 1980 – volume: 84 start-page: 875 year: 2006 end-page: 883 publication-title: Chem. Eng. Res. Des. – volume: 37 start-page: 29 year: 1959 end-page: 36 publication-title: Can. J. Chem. Eng. – volume: 88 start-page: 430 year: 2013 end-page: 439 publication-title: Comput. Fluids – year: 2008 – year: 2006 – volume: 25 start-page: 254 year: 1961 end-page: 264 publication-title: Chem. Eng. – volume: 81 start-page: 483 year: 2003 end-page: 490 publication-title: Can. J. Chem. Eng. – year: 1978 – volume: 6 start-page: 376 year: 1970 end-page: 379 publication-title: Chem. Technol. Fuels Oils – volume: 94 start-page: 60 year: 2013 end-page: 68 publication-title: Chem. Eng. Sci. – volume: 62 start-page: 109 year: 2015 end-page: 121 publication-title: Exp. Therm. Fluid Sci. – volume: 55 start-page: 943 year: 2000 end-page: 955 publication-title: Chem. Eng. Sci. – volume: 57 start-page: 15181 issue: 44 year: 2018 end-page: 15194 publication-title: Ind. Eng. Chem. Res. – volume: 24 start-page: 043303 year: 2012 publication-title: Phys. Fluids – volume-title: Bubbles, Drops, and Particles year: 1978 ident: e_1_2_7_38_1 contributor: fullname: Clift R. – ident: e_1_2_7_13_1 doi: 10.1016/j.jnnfm.2010.02.012 – volume-title: Handbook of Water‐Soluble Gums and Resins year: 1980 ident: e_1_2_7_33_1 contributor: fullname: Davidson R. L. – ident: e_1_2_7_10_1 doi: 10.1021/ie2006577 – ident: e_1_2_7_26_1 doi: 10.1016/S0009-2509(99)00385-1 – ident: e_1_2_7_34_1 doi: 10.1016/0009-2509(68)87018-6 – ident: e_1_2_7_5_1 doi: 10.1016/j.compfluid.2013.09.015 – ident: e_1_2_7_2_1 doi: 10.1201/9781420015386 – ident: e_1_2_7_29_1 doi: 10.1080/00986440701446128 – volume: 54 start-page: 167 year: 1976 ident: e_1_2_7_4_1 publication-title: Trans. Inst. Chem. Eng. contributor: fullname: Grace J. – ident: e_1_2_7_11_1 – ident: e_1_2_7_18_1 doi: 10.1021/acs.jchemed.8b00898 – ident: e_1_2_7_27_1 doi: 10.1252/kakoronbunshu.33.402 – ident: e_1_2_7_40_1 doi: 10.1002/aic.690120210 – ident: e_1_2_7_41_1 doi: 10.1146/annurev-fluid-122316-045114 – ident: e_1_2_7_6_1 doi: 10.1016/j.jcp.2007.12.002 – ident: e_1_2_7_37_1 doi: 10.1007/978-1-4612-5317-4 – volume: 47 start-page: 2513 year: 2016 ident: e_1_2_7_32_1 publication-title: J. Cent. South Univ. Sci. Technol. contributor: fullname: Yan H. – ident: e_1_2_7_9_1 doi: 10.1002/cjce.5450810321 – ident: e_1_2_7_28_1 doi: 10.1063/1.4705527 – ident: e_1_2_7_17_1 doi: 10.1007/s00231-018-2297-3 – ident: e_1_2_7_14_1 doi: 10.1007/BF01337462 – ident: e_1_2_7_35_1 doi: 10.1016/0009-2509(68)80024-7 – ident: e_1_2_7_36_1 – ident: e_1_2_7_44_1 doi: 10.1002/cjce.5450370107 – ident: e_1_2_7_3_1 doi: 10.1021/acs.iecr.8b03617 – ident: e_1_2_7_23_1 doi: 10.1002/aic.690120506 – ident: e_1_2_7_21_1 doi: 10.1252/kakoronbunshu1953.25.254 – ident: e_1_2_7_39_1 doi: 10.1016/j.ces.2013.02.032 – ident: e_1_2_7_30_1 doi: 10.1016/j.expthermflusci.2014.11.018 – ident: e_1_2_7_31_1 doi: 10.1299/jfst.2.184 – ident: e_1_2_7_16_1 doi: 10.1205/cherd.01229 – year: 2019 ident: e_1_2_7_19_1 publication-title: Chem. Eng. J. contributor: fullname: Kherbeche A. – ident: e_1_2_7_20_1 doi: 10.1017/S0022112059000520 – ident: e_1_2_7_15_1 doi: 10.1016/0009-2509(86)85078-3 – ident: e_1_2_7_8_1 doi: 10.1016/j.ijmultiphaseflow.2014.05.001 – ident: e_1_2_7_42_1 doi: 10.1063/1.3051374 – volume: 20 start-page: 65102 year: 2010 ident: e_1_2_7_12_1 publication-title: Appl. Rheol. contributor: fullname: Hassan N. M. S. – ident: e_1_2_7_22_1 doi: 10.1017/S0022112064000349 – ident: e_1_2_7_7_1 doi: 10.1016/j.ces.2011.01.019 – ident: e_1_2_7_43_1 doi: 10.1007/978-1-4419-6494-6_1 – volume-title: Bubble Wake Dynamics in Liquids and Liquid‐Solid Suspensions year: 1990 ident: e_1_2_7_25_1 contributor: fullname: Fan L.‐S. – ident: e_1_2_7_24_1 doi: 10.1007/BF01171684 |
| SSID | ssj0001516 |
| Score | 2.335925 |
| Snippet | Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters... Abstract Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio ( E ) and two... Based on experiments with single air bubbles rising in stagnant non-Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters... |
| SourceID | hal proquest crossref wiley |
| SourceType | Open Access Repository Aggregation Database Publisher |
| StartPage | 2321 |
| SubjectTerms | Air bubbles Aspect ratio Biotechnology Bubble dynamics Bubble shape Bubbles Computational fluid dynamics Deborah number Dimensionless numbers Fluid flow Gas‐liquid system Hydrodynamics Life Sciences Mathematical models Newtonian fluids Non‐Newtonian fluid Parameters Parametric equations Rheological properties |
| Title | Characterization of Bubble Shapes in Non‐Newtonian Fluids by Parametric Equations |
| URI | https://onlinelibrary.wiley.com/doi/abs/10.1002%2Fceat.201800690 https://www.proquest.com/docview/2307623761 https://hal.science/hal-02274472 |
| Volume | 42 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpZ3NT8IwFMAb5aQHv40omsaYeBqwbt3HEQmEGCVGIOG29HVdIJKBDkz05J_g3-hf4usGA7yY6K37aLf2ta-v23u_EnJlKTTqwQXDNJVv2I7ihoiYaSiz6vnM4ZKlEXL3bafVs2_7vL8SxZ_xIfIPbnpkpPpaD3ABSWUJDZWoq7RrlpfCdlEJa5qetooel_wonM7Sn5W-VTVcTC-ojVVWWc--NittDrRP5IrBuWq2pvNOc5eIxRtn7iZP5dkUyvL9B8zxP1XaIztzo5TWsl60TzZUfEC2V1CFh6RTz8nOWeAmHUf0ZgYwUrQzEBOV0GFM2-P46-MTFSdalNjvaHM0G4YJhTf6ILQXmN4OgDaeM7x4ckR6zUa33jLmGzIYElcpuMwMGRfcDMHmPOQWtqq0wAKNaLc8waUbMmFLTJoMQEDViUCEkRICjRS9MLOOSSEex-qEUAcA6yk9LMmxXRX5jowE2B6EWDqEvEiuFwIJJhl3I8gIyyzQzRTkzVQklyiv_CaNy27V7gJ9TuMRbdtlr2aRlBbiDOaDNAm0D7yjvYLwMkvl8sujgnqj1s2PTv-S6YxsYdrPohlLpDB9malzNGumcJF23W-ESO6W |
| link.rule.ids | 230,315,786,790,891,1382,27955,27956,46327,46751 |
| linkProvider | Wiley-Blackwell |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3db9MwED_t4wF4YONLlH1gISSesjVO7CaPXdeqQFch1km8WT7H0SamdNAWCZ74E_Y37i_ZXdJkHS9I8JbYsRP7fL6fnbufAd5GnkA9djAIQ58GsfYqsLkMAx-2k1Rq5WQZIXcy1sOz-MMXVXsTcixMxQ_RbLixZpTzNSs4b0gf3rGGOpqs2DcrKdl212GTdF6xbh5_vmOQIoNW_q5Mo3ZAubrmbWzLw_vl79ml9XP2ilyBnKvAtbQ8gy3A-psrh5OvB4s5Hrhff9A5_lejtuHxEpeKbjWQnsCaL57CoxW2wmdw2mvInavYTTHNxdEC8dKL03N75WfiohDjaXHz-5rmTgKVNPTE4HJxkc0E_hSfLDuC8YkAov-tYhifPYezQX_SGwbLMxkCRwsVWmlmUlkVZhgrlamIutVFGCGztEeJVa6TSRs7ugwlosW2ztFmubeWcAqvzaIXsFFMC_8ShEakdrqEatJxx-epdrnFOMGMasdMteBdLRFzVVFvmIpkWRruJtN0UwvekMCah5gxe9gdGU5jhsQ47sgfYQt2a3mapZ7ODLvBa3YMomxZCuYvrzK9fnfS3L36l0Kv4cFwcjIyo_fjjzvwkNLTKrhxFzbm3xd-j1DOHPfLcXwLhPHytg |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpZ1bb9MwFICPdpEQPLBxE2UXLITEU7bGsZ3ksetaFRjVxDZpb5aP7WgTU1poiwRP_IT9xv2SHSdt1u0FCd6ci53Yx5dzknM-A7xPPCn1mGIUxz6PhPIyMgWPIx-3s5wraXkVIfdlqAZn4tO5PF-K4q_5EM0HtzAyqvk6DPCxK_bvoKGW5qrgmpVVsN1VWBcq4cH8Ovx6B5Ci9az6W5kn7Sil9ALb2Ob79_PfW5ZWL4JT5JLGuay3VgtPfwPM4pVrf5Nve7Mp7tnfD2iO_1OnTXg610pZp-5Gz2DFl8_hyRKr8AWcdBu0cx25yUYFO5ghXnl2cmHGfsIuSzYclTd_rmnmJJWSOh7rX80u3YThL3ZsghtY2A-A9b7XfPHJSzjr9067g2i-I0NkyUwhO9NxaWTsUEjpZEKtahNMMDDak8xImzpuhKVkzBENtlWBxhXeGNJSgmWWvIK1clT618AUItXTZlSSEqkvcmULgyJDR6Wjky34sBCIHtfgDV0jlrkOzaSbZmrBO5JXc1PgZQ86RzqcC3xEIVL-M27B9kKcej5KJzo4wavgFkSXeSWXvzxKd3ud0-bozb9keguPjg_7-ujj8PMWPKbTeR3ZuA1r0x8zv0MqzhR3q158C7Rc8WU |
| 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=Characterization+of+Bubble+Shapes+in+Non%E2%80%90Newtonian+Fluids+by+Parametric+Equations&rft.jtitle=Chemical+engineering+%26+technology&rft.au=Xu%2C+Feishi&rft.au=Midoux%2C+Noel&rft.au=Li%2C+Huai-Zhi&rft.au=H%C3%A9brard%2C+Gilles&rft.date=2019-11-01&rft.pub=Wiley+Subscription+Services%2C+Inc&rft.issn=0930-7516&rft.eissn=1521-4125&rft.volume=42&rft.issue=11&rft.spage=2321&rft.epage=2330&rft_id=info:doi/10.1002%2Fceat.201800690&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0930-7516&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0930-7516&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0930-7516&client=summon |