Temperature distribution and entropy generation during Darcy–Forchheimer–Brinkman electrokinetic flow in a microfluidic tube subject to a prescribed heat flux

Electrokinetically modulated flow through a hydrophobic microtube embedded in a Darcy–Forchheimer porous medium is investigated in this paper. The steric effect has been taken into account in the electrical double layer (EDL) region. Heat transfer is analysed in the case of Darcy–Forchheimer–Brinkma...

Full description

Saved in:

Bibliographic Details
Published in:	Meccanica (Milan) Vol. 55; no. 5; pp. 1079 - 1098
Main Authors:	Misra, J. C., Mallick, B., Steinmann, P.
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.05.2020 Springer Nature B.V
Subjects:	Automotive Engineering Civil Engineering Classical Mechanics Computational fluid dynamics Electrokinetics Electroosmosis Entropy Finite difference method Fluid flow Heat Heat flux Heat transfer Iterative methods Mechanical Engineering Microfluidic devices Nonlinear differential equations Nonlinear equations Ohmic dissipation Partial differential equations Physical properties Physics Physics and Astronomy Porous media Resistance heating Temperature distribution Thermodynamic efficiency Thermodynamics Non-Darcy porous medium 76A02 Steric effect Entropy generation 76S05 76M20 80A20 Uniform heat flux 76W05 Finite difference method
ISSN:	0025-6455, 1572-9648
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Abstract	Electrokinetically modulated flow through a hydrophobic microtube embedded in a Darcy–Forchheimer porous medium is investigated in this paper. The steric effect has been taken into account in the electrical double layer (EDL) region. Heat transfer is analysed in the case of Darcy–Forchheimer–Brinkman flow subject to Joule heating. The flow is supposed to take place under the combined influence of electroosmosis and imposed pressure gradient. The governing nonlinear partial differential equations for electric potential, fluid flow and heat transfer are solved numerically by developing an iterative finite difference method that has second order accuracy. The thermal efficiency is discussed under the purview of the second law of thermodynamics. Influences/impact of different physical parameters on velocity, temperature and entropy are investigated and demonstrated graphically. The paper shows that with an increase in the steric effect, the electrokinetic velocity diminishes and that thermal irreversibility is very high in the electrical double layer region, but it reduces drastically in the neighbourhood of the central region of the microtube. Results of the study are likely to be of profuse interest in the design and development of microfluidic devices that deal with critical types of fluid transport mechanism in non-Darcian porous media.
AbstractList	Electrokinetically modulated flow through a hydrophobic microtube embedded in a Darcy–Forchheimer porous medium is investigated in this paper. The steric effect has been taken into account in the electrical double layer (EDL) region. Heat transfer is analysed in the case of Darcy–Forchheimer–Brinkman flow subject to Joule heating. The flow is supposed to take place under the combined influence of electroosmosis and imposed pressure gradient. The governing nonlinear partial differential equations for electric potential, fluid flow and heat transfer are solved numerically by developing an iterative finite difference method that has second order accuracy. The thermal efficiency is discussed under the purview of the second law of thermodynamics. Influences/impact of different physical parameters on velocity, temperature and entropy are investigated and demonstrated graphically. The paper shows that with an increase in the steric effect, the electrokinetic velocity diminishes and that thermal irreversibility is very high in the electrical double layer region, but it reduces drastically in the neighbourhood of the central region of the microtube. Results of the study are likely to be of profuse interest in the design and development of microfluidic devices that deal with critical types of fluid transport mechanism in non-Darcian porous media.
Author	Steinmann, P. Mallick, B. Misra, J. C.
Author_xml	– sequence: 1 givenname: J. C. surname: Misra fullname: Misra, J. C. email: misrajc@gmail.com organization: Centre for Healthcare Science and Technology, Indian Institute of Engineering Science and Technology – sequence: 2 givenname: B. surname: Mallick fullname: Mallick, B. organization: Centre for Healthcare Science and Technology, Indian Institute of Engineering Science and Technology, Shibpur – sequence: 3 givenname: P. surname: Steinmann fullname: Steinmann, P. organization: Lehrstuhl für Technische Mechanik, Department of Mechanical Engineering, Friedrich-Alexander University Erlangen-Nürnberg
BookMark	eNp9kc1q3DAQx0VJoZs0L5CToGenkryyrWOb5gsCvaRnIcujrDa25OqDxLe8Q94gj9YniTZbKPQQGBCa-f9Go_kfogPnHSB0QskpJaT9GikllFWEkYpQylm1fEAryltWiWbdHaAVIYxXzZrzT-gwxi0hBSN8hV5uYZohqJQD4MHGFGyfk_UOKzdgcCn4ecF34HaaXXrIwbo7_EMFvfx5er7wQW82YCcI5fa91O4n5TCMoAt6bx0kq7EZ_QO2pSeerA7ejNkOJZ1yDzjmflvEOPlSngNEXUaAAW9ApQLmx8_oo1FjhOO_5xH6dXF-e3ZV3fy8vD77dlPpmjepEnVnhjWjpgHWi37d61qZtuO90KI1daN00yujdAnBCBVdKzRTA6eqEVCXOEJf9n3n4H9niElufQ6uPClZLRivO9bSour2qvKPGAMYqW16W00Kyo6SErlzRO4dkcUR-eaIXArK_kPnYCcVlveheg_Febd4CP-meod6BVPpqCc
CitedBy_id	crossref_primary_10_1063_5_0223776 crossref_primary_10_1007_s42493_022_00080_1 crossref_primary_10_1007_s12217_021_09882_8 crossref_primary_10_1016_j_molliq_2022_118662 crossref_primary_10_3390_coatings12060873 crossref_primary_10_1007_s10973_023_12538_x crossref_primary_10_3233_JAE_190101 crossref_primary_10_1108_HFF_09_2020_0566 crossref_primary_10_1007_s10973_020_10214_y crossref_primary_10_1140_epjp_s13360_022_03069_9 crossref_primary_10_3390_e22111214 crossref_primary_10_32604_cmes_2021_013077 crossref_primary_10_1002_elps_202300199 crossref_primary_10_1038_s41598_023_30979_0 crossref_primary_10_1080_17455030_2022_2136415 crossref_primary_10_1140_epjp_s13360_024_05864_y crossref_primary_10_1016_j_icheatmasstransfer_2021_105350
Cites_doi	10.3390/e13081446 10.1021/la901209a 10.1016/j.ijheatmasstransfer.2015.05.045 10.1103/RevModPhys.77.977 10.1016/S1001-6058(13)60368-6 10.1016/j.molliq.2016.09.096 10.1016/j.ijheatmasstransfer.2013.08.099 10.1016/j.jmmm.2015.03.094 10.1017/S0022112002007899 10.1142/S0219519418500355 10.1115/1.3451063 10.1016/j.colsurfa.2015.08.018 10.1002/(SICI)1522-2683(20000101)21:1<12::AID-ELPS12>3.0.CO;2-7 10.1016/S0017-9310(99)00148-9 10.1016/j.icheatmasstransfer.2012.08.001 10.1016/j.colsurfa.2017.12.061 10.1016/S1001-6058(15)60492-9 10.1016/j.ijthermalsci.2016.10.002 10.1016/j.ijthermalsci.2017.08.019 10.1016/j.jcis.2007.05.007 10.1002/elps.200900676 10.1142/S0219519413500139 10.1016/0142-727X(87)90062-2 10.1016/j.matcom.2019.06.015 10.1016/j.ijheatmasstransfer.2017.11.026 10.1007/978-3-319-08687-3 10.1016/j.aca.2003.09.019 10.1017/S0022112004008626 10.1007/978-3-030-10662-1 10.1016/S1001-6058(15)60527-3 10.1016/j.ijthermalsci.2012.08.021 10.1002/9783527667109 10.1021/la202273e 10.1088/0022-3727/47/42/425501 10.1007/s10483-014-1827-6 10.1021/cr9001929 10.1007/s10483-010-1371-6 10.1088/0022-3727/48/8/085501 10.1007/s10483-019-2528-7 10.1016/j.physa.2016.10.051 10.1016/j.aca.2005.11.046 10.1023/A:1006636605498 10.1140/epjp/i2018-12002-6 10.1016/j.colsurfa.2014.07.051 10.1016/j.ijheatmasstransfer.2004.02.020 10.1142/S1793524519500360 10.1115/1.3130448 10.1504/IJEX.2013.055779 10.1142/S0219519408002784 10.1146/annurev.fluid.36.050802.122124 10.2478/s11534-014-0424-4 10.1063/1.1669400 10.1103/PhysRevE.75.021502 10.1038/38686 10.1039/B513005K 10.1007/978-1-4614-5541-7 10.1115/1.2755069
ContentType	Journal Article
Copyright	Springer Nature B.V. 2020 Springer Nature B.V. 2020.
Copyright_xml	– notice: Springer Nature B.V. 2020 – notice: Springer Nature B.V. 2020.
DBID	AAYXX CITATION
DOI	10.1007/s11012-020-01152-y
DatabaseName	CrossRef
DatabaseTitle	CrossRef
DatabaseTitleList
DeliveryMethod	fulltext_linktorsrc
Discipline	Applied Sciences Physics
EISSN	1572-9648
EndPage	1098
ExternalDocumentID	10_1007_s11012_020_01152_y
GrantInformation_xml	– fundername: Alexander von Humboldt-Stiftung grantid: 3.5-IND/1018728 funderid: http://dx.doi.org/10.13039/100005156
GroupedDBID	-54 -5F -5G -BR -EM -Y2 -~C -~X .86 .DC .VR 06D 0R~ 0VY 1N0 1SB 2.D 203 28- 29M 29~ 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 8TC 8UJ 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABBBX ABBXA ABDZT ABECU ABFTD ABFTV ABHLI ABHQN ABJNI ABJOX ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABQSL ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV ACSNA ACZOJ ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFIE AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFEXP AFGCZ AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BBWZM BDATZ BGNMA BSONS CAG COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EBLON EBS EIOEI EJD ESBYG F5P FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GPTSA GQ6 GQ7 GQ8 GXS H13 HF~ HG5 HG6 HMJXF HQYDN HRMNR HVGLF HZ~ I09 IHE IJ- IKXTQ ITM IWAJR IXC IZIGR IZQ I~X I~Z J-C J0Z JBSCW JCJTX JZLTJ KDC KOV KOW LAK LLZTM M4Y MA- N2Q NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J OAM OVD P19 P2P P9P PF0 PT4 PT5 QOK QOS R4E R89 R9I RHV RIG RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SCV SDH SDM SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPH SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TSG TSK TSV TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z45 Z5O Z7R Z7S Z7V Z7X Z7Y Z7Z Z86 Z8M Z8N Z8P Z8S Z8T ZMTXR ~02 ~A9 ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG AEZWR AFDZB AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP ATHPR AYFIA CITATION
ID	FETCH-LOGICAL-c356t-938fd421f6e2b9b4bc3af785b9c97f36ac6bafacfac92019879c2ad51a69e39e3
IEDL.DBID	RSV
ISICitedReferencesCount	21
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000523061200001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	0025-6455
IngestDate	Thu Sep 25 00:55:19 EDT 2025 Sat Nov 29 05:49:03 EST 2025 Tue Nov 18 22:29:28 EST 2025 Fri Feb 21 02:38:48 EST 2025
IsPeerReviewed	true
IsScholarly	true
Issue	5
Keywords	Non-Darcy porous medium 76A02 Steric effect Entropy generation 76S05 76M20 80A20 Uniform heat flux 76W05 Finite difference method
Language	English
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c356t-938fd421f6e2b9b4bc3af785b9c97f36ac6bafacfac92019879c2ad51a69e39e3
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
PQID	2392538271
PQPubID	2043742
PageCount	20
ParticipantIDs	proquest_journals_2392538271 crossref_citationtrail_10_1007_s11012_020_01152_y crossref_primary_10_1007_s11012_020_01152_y springer_journals_10_1007_s11012_020_01152_y
PublicationCentury	2000
PublicationDate	2020-05-01
PublicationDateYYYYMMDD	2020-05-01
PublicationDate_xml	– month: 05 year: 2020 text: 2020-05-01 day: 01
PublicationDecade	2020
PublicationPlace	Dordrecht
PublicationPlace_xml	– name: Dordrecht
PublicationSubtitle	An International Journal of Theoretical and Applied Mechanics AIMETA
PublicationTitle	Meccanica (Milan)
PublicationTitleAbbrev	Meccanica
PublicationYear	2020
Publisher	Springer Netherlands Springer Nature B.V
Publisher_xml	– name: Springer Netherlands – name: Springer Nature B.V
References	Buren, Jian, Chang (CR12) 2014; 47 Pamme (CR16) 2006; 6 Yazdi, Sadeghi, Saidi (CR28) 2015; 484 Misra, Chandra, Herwig (CR20) 2015; 27 Misra, Chandra (CR23) 2014; 12 Misra, Sinha (CR21) 2015; 27 Jian (CR42) 2015; 89 Misra, Sinha, Mallick (CR56) 2017; 470 Hunter (CR49) 1981 Misra, Chandra (CR24) 2013; 25 Misra, Shit (CR53) 2009; 76 Misra, Chandra (CR18) 2018; 18 Umavathi, Ojjela, Vajravelu (CR43) 2017; 111 Bear (CR31) 1972 Bandopadhyay, Chakraborty (CR30) 2011; 27 Agrawal, Kushwaha, Jadhav (CR61) 2020 Ghosal (CR7) 2002; 459 Ferraris, Manenti (CR58) 2014 Shit, Maiti, Roy, Misra (CR57) 2019; 166 Gijs, Lacharme, Lehmann (CR17) 2010; 110 Erickson, Li (CR2) 2004; 507 Misra, Maiti, Shit (CR54) 2008; 8 Chakraborty, Dey, Chakraborty (CR40) 2013; 67 Chandra, Misra (CR19) 2016; 224 Misra, Sinha, Shit (CR52) 2010; 31 Stone, Stroock, Ajdari (CR1) 2004; 36 Horiuchi, Dutta (CR39) 2004; 47 Xie, Jian, Li (CR60) 2018; 119 Sadeghi, Azari, Chakraborty (CR45) 2017; 122 Bejan (CR35) 1987; 8 Liu, Lo (CR37) 2012; 39 Salama, Abbas, El-Amin, Sun (CR46) 2013; 64 Buren, Jian, Chang (CR4) 2014; 47 Chen, Jian, Xie, Ding (CR50) 2018; 540 Ma, Keh (CR14) 2007; 313 Nield, Bejan (CR32) 2013 Mallick, Misra, Roy Chowdhury (CR44) 2019; 40 Thompson, Troian (CR55) 1997; 389 Das, Chakraborty (CR9) 2006; 559 Misra, Chandra, Shit, Kundu (CR22) 2014; 35 Jian, Su, Chang, Liu, He (CR11) 2014; 65 Butt, Ali (CR38) 2013; 13 Misra, Mallick, Sinha, Roychowdhury (CR51) 2018; 133 Xie, Jian (CR10) 2014; 461 Murtaza, Ferdows, Misra, Tzirtzilakis (CR26) 2019; 12 Kilic, Bazant, Ajdari (CR27) 2007; 75 Si, Jian (CR5) 2015; 48 Nield (CR47) 2007; 129 Nield (CR48) 2000; 41 Weilin, Mala, Li (CR15) 2000; 43 Zhao, Jian, Chang, Buren (CR13) 2015; 387 Sadr, Yoda, Zheng, Conlisk (CR8) 2004; 506 Becker, Gärtner (CR6) 2000; 21 Garai, Chakraborty (CR29) 2010; 31 Bejan (CR34) 1979; 101 Goswami, Chakraborty (CR59) 2010; 26 Tretheway, Meinhart (CR33) 2014; 16 Squires, Quake (CR3) 2005; 77 Misra, Chandra, Shit, Kundu (CR25) 2013; 13 Leon, Svendsen (CR41) 2015 Makinde (CR36) 2011; 13 M Buren (1152_CR4) 2014; 47 N Pamme (1152_CR16) 2006; 6 MA Gijs (1152_CR17) 2010; 110 A Salama (1152_CR46) 2013; 64 TM Squires (1152_CR3) 2005; 77 HC Ma (1152_CR14) 2007; 313 JC Misra (1152_CR56) 2017; 470 D Erickson (1152_CR2) 2004; 507 JC Misra (1152_CR25) 2013; 13 YJ Jian (1152_CR42) 2015; 89 A Bejan (1152_CR34) 1979; 101 A Agrawal (1152_CR61) 2020 OD Makinde (1152_CR36) 2011; 13 ZY Xie (1152_CR60) 2018; 119 JC Umavathi (1152_CR43) 2017; 111 PA Thompson (1152_CR55) 1997; 389 X Chen (1152_CR50) 2018; 540 JC Misra (1152_CR54) 2008; 8 GC Shit (1152_CR57) 2019; 166 J Bear (1152_CR31) 1972 AS Butt (1152_CR38) 2013; 13 Y Jian (1152_CR11) 2014; 65 A Bandopadhyay (1152_CR30) 2011; 27 A Bejan (1152_CR35) 1987; 8 G Zhao (1152_CR13) 2015; 387 S Chandra (1152_CR19) 2016; 224 DA Nield (1152_CR47) 2007; 129 JC Misra (1152_CR22) 2014; 35 RJ Hunter (1152_CR49) 1981 DA Nield (1152_CR32) 2013 K Horiuchi (1152_CR39) 2004; 47 MG Murtaza (1152_CR26) 2019; 12 CC Liu (1152_CR37) 2012; 39 S Ghosal (1152_CR7) 2002; 459 H Becker (1152_CR6) 2000; 21 JC Misra (1152_CR23) 2014; 12 JC Misra (1152_CR51) 2018; 133 JC Misra (1152_CR20) 2015; 27 R Sadr (1152_CR8) 2004; 506 JC Misra (1152_CR24) 2013; 25 B Mallick (1152_CR44) 2019; 40 GB Ferraris (1152_CR58) 2014 A Sadeghi (1152_CR45) 2017; 122 Q Weilin (1152_CR15) 2000; 43 MS Kilic (1152_CR27) 2007; 75 JC Misra (1152_CR52) 2010; 31 JC Misra (1152_CR21) 2015; 27 AA Yazdi (1152_CR28) 2015; 484 S Das (1152_CR9) 2006; 559 M Buren (1152_CR12) 2014; 47 DA Nield (1152_CR48) 2000; 41 JC Leon (1152_CR41) 2015 ZY Xie (1152_CR10) 2014; 461 HA Stone (1152_CR1) 2004; 36 P Goswami (1152_CR59) 2010; 26 JC Misra (1152_CR18) 2018; 18 R Chakraborty (1152_CR40) 2013; 67 DC Tretheway (1152_CR33) 2014; 16 JC Misra (1152_CR53) 2009; 76 A Garai (1152_CR29) 2010; 31 DQ Si (1152_CR5) 2015; 48
References_xml	– volume: 484 start-page: 394 year: 2015 end-page: 401 ident: CR28 article-title: Steric effects on electrokinetic flow of non-linear biofluids publication-title: Colloids Surf A: Physiochem Eng Asp – volume: 101 start-page: 718 issue: 4 year: 1979 end-page: 725 ident: CR34 article-title: A study of entropy generation in fundamental convective heat transfer publication-title: ASME J Heat Transf – volume: 35 start-page: 749 issue: 6 year: 2014 end-page: 766 ident: CR22 article-title: Electroosmotic oscillatory flow of micropolar fluid in microchannels: application to dynamics of blood flow in microfluidic devices publication-title: Appl Math Mech – year: 1972 ident: CR31 publication-title: Dynamics of fluids in porous media – volume: 224 start-page: 818 issue: Part A year: 2016 end-page: 824 ident: CR19 article-title: Influence of Hall current and microrotation on the boundary layer flow of an electrically conducting fluid: application to Hemodynamics publication-title: J Mol Liq – volume: 39 start-page: 1354 issue: 9 year: 2012 end-page: 1359 ident: CR37 article-title: Numerical analysis of entropy generation in mixed-convection MHD flow in vertical channel publication-title: Int Commun Heat Mass Transf – volume: 540 start-page: 194 year: 2018 end-page: 206 ident: CR50 article-title: Thermal transport of electromagnetohydrodynamic in a microtube with electrokinetic effect and interfacial slip publication-title: Colloids Surf A – volume: 122 start-page: 162 year: 2017 end-page: 171 ident: CR45 article-title: H2 forced convection in rectangular microchannels under a mixed electroosmotic and pressure-driven flow publication-title: Int J Therm Sci – volume: 76 start-page: 061006 issue: 6 year: 2009 ident: CR53 article-title: Flow of a biomagnetic visco-elastic fluid in a channel with stretching walls publication-title: J Appl Mech – volume: 40 start-page: 1509 issue: 10 year: 2019 end-page: 1530 ident: CR44 article-title: Influence of Hall current and Joule heating on entropy generation during electrokinetically induced thermoradiative transport of nanofluids in a porous microchannel publication-title: Appl Math Mech – volume: 48 start-page: 085501 year: 2015 ident: CR5 article-title: Electromagnetohydrodynamic (EMHD) micropump of Jeffreyfluids through two parallel microchannels walls with corrugated walls publication-title: J Phys D Appl Phys – year: 2015 ident: CR41 publication-title: Lab-on-a-chip devices and micro-total analysis systems: a practical guide – volume: 27 start-page: 12243 year: 2011 end-page: 12252 ident: CR30 article-title: Steric-effect induced alterations in streaming potential and energy transfer efficiency of non-Newtonian fluids in narrow confinements publication-title: Langmuir – volume: 313 start-page: 686 issue: 2 year: 2007 end-page: 696 ident: CR14 article-title: Diffusioosmosis of electrolyte solutions in a capillary slit with adsorbed polyelectrolyte layers publication-title: J Colloid Interface Sci – volume: 8 start-page: 258 issue: 4 year: 1987 end-page: 276 ident: CR35 article-title: The thermodynamic design of heat and mass transfer processes and devices publication-title: Int J Heat Fluid Flow – volume: 47 start-page: 425501 year: 2014 ident: CR12 article-title: Electromagnetohydrodynamic flow through a microparallel channel with corrugated walls publication-title: J Phys D Appl Phys – volume: 6 start-page: 24 issue: 1 year: 2006 end-page: 38 ident: CR16 article-title: Magnetism and microfluidics publication-title: Lab Chip – volume: 75 start-page: 021502 year: 2007 ident: CR27 article-title: Steric effects in the dynamics of electrolytes at large applied voltages. I. Double-layer charging publication-title: Phys Rev E – volume: 506 start-page: 357 year: 2004 end-page: 367 ident: CR8 article-title: An experimental study of electro-osmotic flow in rectangular microchannels publication-title: J Fluid Mech – year: 2013 ident: CR32 publication-title: Convection in porous media – volume: 507 start-page: 11 year: 2004 end-page: 26 ident: CR2 article-title: Integrated microfluidic devices publication-title: Anal Chim Acta – volume: 18 start-page: 1850035 issue: 3 year: 2018 ident: CR18 article-title: Effect of couple stresses on electrokinetic oscillatory flow of blood in the microcirculatory system publication-title: J Mech Med Biol – volume: 64 start-page: 195 year: 2013 end-page: 203 ident: CR46 article-title: Comparison study between the effects of different terms contributing to viscous dissipation in saturated porous media publication-title: Int J Therm Sci – year: 2020 ident: CR61 publication-title: Microscale flow and heat transfer – volume: 12 start-page: 1950036 issue: 03 year: 2019 ident: CR26 article-title: Three-dimensional biomagnetic Maxwell fluid flow over a stretching surface in presence of heat source/sink publication-title: Int J Biomath – volume: 470 start-page: 330 year: 2017 end-page: 344 ident: CR56 article-title: Stagnation point flow and heat transfer on a thin porous sheet: applications to flow dynamics of the circulatory system publication-title: Physica A – volume: 25 start-page: 309 issue: 2 year: 2013 end-page: 316 ident: CR24 article-title: Electro-osmotic flow of a second-grade fluid in a porous microchannel subject to an AC electric field publication-title: J Hydrohyn – volume: 67 start-page: 1151 year: 2013 end-page: 1162 ident: CR40 article-title: Thermal characteristics of electromagnetohydrodynamic flows in narrow channels with viscous dissipation and Joule heating under constant wall heat flux publication-title: Int J Heat Mass Transf – volume: 110 start-page: 1518 issue: 3 year: 2010 end-page: 1563 ident: CR17 article-title: Microfluidic applications of magnetic particles for biological analysis and catalysis publication-title: Chem Rev – volume: 31 start-page: 1405 year: 2010 end-page: 1420 ident: CR52 article-title: Flow of a biomagnetic viscoelastic fluid: application to estimation of blood flow in arteries during electromagnetic hyperthermia, a therapeutic procedure for cancer treatment publication-title: Appl Math Mech – volume: 36 start-page: 381 year: 2004 end-page: 411 ident: CR1 article-title: Engineering flows in small devices: microfluidics toward a lab-on-a-chip publication-title: Annu Rev Fluid Mech – volume: 43 start-page: 353 issue: 3 year: 2000 end-page: 364 ident: CR15 article-title: Pressure-driven water flows in trapezoidal silicon microchannels publication-title: Int J Heat Mass Transf – volume: 461 start-page: 231 year: 2014 end-page: 239 ident: CR10 article-title: Rotating electroosmotic flow of power-law fluids at high zeta potentials publication-title: Colloids Surf A: Physicochem Eng Aspects – volume: 47 start-page: 3085 year: 2004 end-page: 3095 ident: CR39 article-title: Joule heating effects in electroosmotically driven microchannel flows publication-title: Int J Heat Mass Transf – volume: 8 start-page: 507 issue: 4 year: 2008 end-page: 525 ident: CR54 article-title: Peristaltic transport of a physiological fluid in an asymmetric porous channel in the presence o an external magnetic field publication-title: J Mech Med Biol – volume: 41 start-page: 349 year: 2000 end-page: 357 ident: CR48 article-title: Resolution of a paradox involving viscous dissipation and nonlinear drag in a porous medium publication-title: Transp Porous Media – volume: 13 start-page: 85 issue: 1 year: 2013 end-page: 99 ident: CR38 article-title: Entropy generation in MHD flow over a permeable stretching sheet embedded in a porous medium in the presence of viscous dissipation publication-title: Int J Exergy – volume: 21 start-page: 12 issue: 1 year: 2000 end-page: 26 ident: CR6 article-title: Polymer microfabrication methods for microfluidic analytical applications publication-title: Electrophoresis – volume: 559 start-page: 15 issue: 1 year: 2006 end-page: 24 ident: CR9 article-title: Analytical solutions for velocity, temperature and concentration distribution in electroosmotic microchannel flows in a non-Newtonian bio-fluid publication-title: Anal Chim Acta – volume: 387 start-page: 111 year: 2015 end-page: 117 ident: CR13 article-title: Magnetohydrodynamic flow of generalized Maxwell fluids in a rectangular micropump under an AC electric field publication-title: J Magn Magn Mater – volume: 12 start-page: 274 issue: 4 year: 2014 end-page: 285 ident: CR23 article-title: Electro-osmotically actuated oscillatory flow of a physiological fluid on a porous microchannel subject to an external AC electric field having dissimilar frequencies publication-title: Open Phys – volume: 47 start-page: 425501 year: 2014 ident: CR4 article-title: Electromagnetohydrodynamic flow through a microparallel channel with corrugated walls publication-title: J Phys D Appl Phys – volume: 129 start-page: 1459 year: 2007 end-page: 1463 ident: CR47 article-title: The modeling of viscous dissipation in a saturated porous medium publication-title: J Heat Transf – volume: 389 start-page: 360 year: 1997 end-page: 362 ident: CR55 article-title: A general boundary condition for liquid flow at solid surfaces publication-title: Nature – volume: 77 start-page: 977 issue: 3 year: 2005 end-page: 1026 ident: CR3 article-title: Microfluidics: fluid physics at the nanoliter scale publication-title: Rev Mod Phys – year: 2014 ident: CR58 publication-title: Differential and differential-algebric systems for the chemical engineer: solving numerical problems – volume: 27 start-page: 647 issue: 5 year: 2015 end-page: 657 ident: CR21 article-title: Electroosmotic flow and heat transfer of a non-Newtonian fluid in a hydrophobic microchannel with Navier slip publication-title: J Hydrodyn – volume: 65 start-page: 435 issue: 3 year: 2014 end-page: 447 ident: CR11 article-title: Transient electroosmotic flow of general Maxwell fluids through a slit microchannel publication-title: J Appl Math Phys – volume: 111 start-page: 511 year: 2017 end-page: 524 ident: CR43 article-title: Numerical analysis of natural convective flow and heat transfer of nanofluids in a vertical rectangular duct using Darcy–Forchheimer–Brinkman model publication-title: Int J Therm Sci – volume: 133 start-page: 195 year: 2018 ident: CR51 article-title: Impact of Cattaneo–Christov heat flux on electroosmotic transport of third-order fluids in a magnetic environment publication-title: Eur Phys J Plus – volume: 13 start-page: 1350013 issue: 1 year: 2013 ident: CR25 article-title: Thermodynamic and magnetohydrodynamic analysis of blood flow considering rotation of micro-particlces of blood publication-title: J Mech Med Biol – volume: 166 start-page: 432 year: 2019 end-page: 450 ident: CR57 article-title: Pulsatile flow and heat transfer of blood in an overlapping vibrating atherosclerotic artery: a numerical study publication-title: Math Comput Simul – volume: 31 start-page: 843 year: 2010 end-page: 849 ident: CR29 article-title: Steric effect and slip-modulated energy transfer in narrow fluidic channels with finite aspect ratios publication-title: Electrophoresis – year: 1981 ident: CR49 publication-title: Zeta potential in colloid science – volume: 27 start-page: 350 issue: 3 year: 2015 end-page: 358 ident: CR20 article-title: Flow of a micropolar fluid in a micro-channel under the action of an altrnating electric field: estimates of flow in bio-fluidic devices publication-title: J Hydrodyn – volume: 16 start-page: 1509 issue: 5 year: 2014 end-page: 1515 ident: CR33 article-title: A generating mechanism for apparent fluid slip in hydrophobic microchannels publication-title: Phys Fluids – volume: 13 start-page: 1446 year: 2011 end-page: 1464 ident: CR36 article-title: Second law analysis for variable viscosity hydromagnetic boundary flow with thermal radiation and Newtonian heating publication-title: Entropy – volume: 89 start-page: 193 year: 2015 end-page: 205 ident: CR42 article-title: Transient MHD heat transfer and entropy generation in amicroparallel channel combined with pressure and electroosmotic effects publication-title: Int J Heat Mass Transf – volume: 459 start-page: 103 year: 2002 end-page: 128 ident: CR7 article-title: Lubrication theory for electro-osmotic flow in a microfluidic channel of slowly varying cross-section and wall charge publication-title: J Fluid Mech – volume: 26 start-page: 581 year: 2010 end-page: 590 ident: CR59 article-title: Energy transfer through streaming effects in time-periodic pressure driven nanochannel flows with interfacial slip publication-title: Langmuir – volume: 119 start-page: 355 year: 2018 end-page: 364 ident: CR60 article-title: Thermal transport of magnetohydrodynamic electroosmotic flow in circular cylindrical microchannels publication-title: Int J Heat Mass Transf – volume: 13 start-page: 1446 year: 2011 ident: 1152_CR36 publication-title: Entropy doi: 10.3390/e13081446 – volume: 26 start-page: 581 year: 2010 ident: 1152_CR59 publication-title: Langmuir doi: 10.1021/la901209a – volume-title: Dynamics of fluids in porous media year: 1972 ident: 1152_CR31 – volume-title: Zeta potential in colloid science year: 1981 ident: 1152_CR49 – volume: 89 start-page: 193 year: 2015 ident: 1152_CR42 publication-title: Int J Heat Mass Transf doi: 10.1016/j.ijheatmasstransfer.2015.05.045 – volume: 77 start-page: 977 issue: 3 year: 2005 ident: 1152_CR3 publication-title: Rev Mod Phys doi: 10.1103/RevModPhys.77.977 – volume: 25 start-page: 309 issue: 2 year: 2013 ident: 1152_CR24 publication-title: J Hydrohyn doi: 10.1016/S1001-6058(13)60368-6 – volume: 224 start-page: 818 issue: Part A year: 2016 ident: 1152_CR19 publication-title: J Mol Liq doi: 10.1016/j.molliq.2016.09.096 – volume: 67 start-page: 1151 year: 2013 ident: 1152_CR40 publication-title: Int J Heat Mass Transf doi: 10.1016/j.ijheatmasstransfer.2013.08.099 – volume: 387 start-page: 111 year: 2015 ident: 1152_CR13 publication-title: J Magn Magn Mater doi: 10.1016/j.jmmm.2015.03.094 – volume: 459 start-page: 103 year: 2002 ident: 1152_CR7 publication-title: J Fluid Mech doi: 10.1017/S0022112002007899 – volume: 18 start-page: 1850035 issue: 3 year: 2018 ident: 1152_CR18 publication-title: J Mech Med Biol doi: 10.1142/S0219519418500355 – volume: 101 start-page: 718 issue: 4 year: 1979 ident: 1152_CR34 publication-title: ASME J Heat Transf doi: 10.1115/1.3451063 – volume: 484 start-page: 394 year: 2015 ident: 1152_CR28 publication-title: Colloids Surf A: Physiochem Eng Asp doi: 10.1016/j.colsurfa.2015.08.018 – volume: 21 start-page: 12 issue: 1 year: 2000 ident: 1152_CR6 publication-title: Electrophoresis doi: 10.1002/(SICI)1522-2683(20000101)21:1<12::AID-ELPS12>3.0.CO;2-7 – volume: 43 start-page: 353 issue: 3 year: 2000 ident: 1152_CR15 publication-title: Int J Heat Mass Transf doi: 10.1016/S0017-9310(99)00148-9 – volume: 39 start-page: 1354 issue: 9 year: 2012 ident: 1152_CR37 publication-title: Int Commun Heat Mass Transf doi: 10.1016/j.icheatmasstransfer.2012.08.001 – volume: 540 start-page: 194 year: 2018 ident: 1152_CR50 publication-title: Colloids Surf A doi: 10.1016/j.colsurfa.2017.12.061 – volume: 27 start-page: 350 issue: 3 year: 2015 ident: 1152_CR20 publication-title: J Hydrodyn doi: 10.1016/S1001-6058(15)60492-9 – volume: 111 start-page: 511 year: 2017 ident: 1152_CR43 publication-title: Int J Therm Sci doi: 10.1016/j.ijthermalsci.2016.10.002 – volume: 122 start-page: 162 year: 2017 ident: 1152_CR45 publication-title: Int J Therm Sci doi: 10.1016/j.ijthermalsci.2017.08.019 – volume: 313 start-page: 686 issue: 2 year: 2007 ident: 1152_CR14 publication-title: J Colloid Interface Sci doi: 10.1016/j.jcis.2007.05.007 – volume: 65 start-page: 435 issue: 3 year: 2014 ident: 1152_CR11 publication-title: J Appl Math Phys – volume: 31 start-page: 843 year: 2010 ident: 1152_CR29 publication-title: Electrophoresis doi: 10.1002/elps.200900676 – volume: 13 start-page: 1350013 issue: 1 year: 2013 ident: 1152_CR25 publication-title: J Mech Med Biol doi: 10.1142/S0219519413500139 – volume: 8 start-page: 258 issue: 4 year: 1987 ident: 1152_CR35 publication-title: Int J Heat Fluid Flow doi: 10.1016/0142-727X(87)90062-2 – volume: 166 start-page: 432 year: 2019 ident: 1152_CR57 publication-title: Math Comput Simul doi: 10.1016/j.matcom.2019.06.015 – volume: 119 start-page: 355 year: 2018 ident: 1152_CR60 publication-title: Int J Heat Mass Transf doi: 10.1016/j.ijheatmasstransfer.2017.11.026 – volume-title: Lab-on-a-chip devices and micro-total analysis systems: a practical guide year: 2015 ident: 1152_CR41 doi: 10.1007/978-3-319-08687-3 – volume: 507 start-page: 11 year: 2004 ident: 1152_CR2 publication-title: Anal Chim Acta doi: 10.1016/j.aca.2003.09.019 – volume: 506 start-page: 357 year: 2004 ident: 1152_CR8 publication-title: J Fluid Mech doi: 10.1017/S0022112004008626 – volume-title: Microscale flow and heat transfer year: 2020 ident: 1152_CR61 doi: 10.1007/978-3-030-10662-1 – volume: 27 start-page: 647 issue: 5 year: 2015 ident: 1152_CR21 publication-title: J Hydrodyn doi: 10.1016/S1001-6058(15)60527-3 – volume: 64 start-page: 195 year: 2013 ident: 1152_CR46 publication-title: Int J Therm Sci doi: 10.1016/j.ijthermalsci.2012.08.021 – volume-title: Differential and differential-algebric systems for the chemical engineer: solving numerical problems year: 2014 ident: 1152_CR58 doi: 10.1002/9783527667109 – volume: 27 start-page: 12243 year: 2011 ident: 1152_CR30 publication-title: Langmuir doi: 10.1021/la202273e – volume: 47 start-page: 425501 year: 2014 ident: 1152_CR12 publication-title: J Phys D Appl Phys doi: 10.1088/0022-3727/47/42/425501 – volume: 35 start-page: 749 issue: 6 year: 2014 ident: 1152_CR22 publication-title: Appl Math Mech doi: 10.1007/s10483-014-1827-6 – volume: 110 start-page: 1518 issue: 3 year: 2010 ident: 1152_CR17 publication-title: Chem Rev doi: 10.1021/cr9001929 – volume: 31 start-page: 1405 year: 2010 ident: 1152_CR52 publication-title: Appl Math Mech doi: 10.1007/s10483-010-1371-6 – volume: 48 start-page: 085501 year: 2015 ident: 1152_CR5 publication-title: J Phys D Appl Phys doi: 10.1088/0022-3727/48/8/085501 – volume: 40 start-page: 1509 issue: 10 year: 2019 ident: 1152_CR44 publication-title: Appl Math Mech doi: 10.1007/s10483-019-2528-7 – volume: 470 start-page: 330 year: 2017 ident: 1152_CR56 publication-title: Physica A doi: 10.1016/j.physa.2016.10.051 – volume: 47 start-page: 425501 year: 2014 ident: 1152_CR4 publication-title: J Phys D Appl Phys doi: 10.1088/0022-3727/47/42/425501 – volume: 559 start-page: 15 issue: 1 year: 2006 ident: 1152_CR9 publication-title: Anal Chim Acta doi: 10.1016/j.aca.2005.11.046 – volume: 41 start-page: 349 year: 2000 ident: 1152_CR48 publication-title: Transp Porous Media doi: 10.1023/A:1006636605498 – volume: 133 start-page: 195 year: 2018 ident: 1152_CR51 publication-title: Eur Phys J Plus doi: 10.1140/epjp/i2018-12002-6 – volume: 461 start-page: 231 year: 2014 ident: 1152_CR10 publication-title: Colloids Surf A: Physicochem Eng Aspects doi: 10.1016/j.colsurfa.2014.07.051 – volume: 47 start-page: 3085 year: 2004 ident: 1152_CR39 publication-title: Int J Heat Mass Transf doi: 10.1016/j.ijheatmasstransfer.2004.02.020 – volume: 12 start-page: 1950036 issue: 03 year: 2019 ident: 1152_CR26 publication-title: Int J Biomath doi: 10.1142/S1793524519500360 – volume: 76 start-page: 061006 issue: 6 year: 2009 ident: 1152_CR53 publication-title: J Appl Mech doi: 10.1115/1.3130448 – volume: 13 start-page: 85 issue: 1 year: 2013 ident: 1152_CR38 publication-title: Int J Exergy doi: 10.1504/IJEX.2013.055779 – volume: 8 start-page: 507 issue: 4 year: 2008 ident: 1152_CR54 publication-title: J Mech Med Biol doi: 10.1142/S0219519408002784 – volume: 36 start-page: 381 year: 2004 ident: 1152_CR1 publication-title: Annu Rev Fluid Mech doi: 10.1146/annurev.fluid.36.050802.122124 – volume: 12 start-page: 274 issue: 4 year: 2014 ident: 1152_CR23 publication-title: Open Phys doi: 10.2478/s11534-014-0424-4 – volume: 16 start-page: 1509 issue: 5 year: 2014 ident: 1152_CR33 publication-title: Phys Fluids doi: 10.1063/1.1669400 – volume: 75 start-page: 021502 year: 2007 ident: 1152_CR27 publication-title: Phys Rev E doi: 10.1103/PhysRevE.75.021502 – volume: 389 start-page: 360 year: 1997 ident: 1152_CR55 publication-title: Nature doi: 10.1038/38686 – volume: 6 start-page: 24 issue: 1 year: 2006 ident: 1152_CR16 publication-title: Lab Chip doi: 10.1039/B513005K – volume-title: Convection in porous media year: 2013 ident: 1152_CR32 doi: 10.1007/978-1-4614-5541-7 – volume: 129 start-page: 1459 year: 2007 ident: 1152_CR47 publication-title: J Heat Transf doi: 10.1115/1.2755069
SSID	ssj0010005
Score	2.3251836
Snippet	Electrokinetically modulated flow through a hydrophobic microtube embedded in a Darcy–Forchheimer porous medium is investigated in this paper. The steric...
SourceID	proquest crossref springer
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	1079
SubjectTerms	Automotive Engineering Civil Engineering Classical Mechanics Computational fluid dynamics Electrokinetics Electroosmosis Entropy Finite difference method Fluid flow Heat Heat flux Heat transfer Iterative methods Mechanical Engineering Microfluidic devices Nonlinear differential equations Nonlinear equations Ohmic dissipation Partial differential equations Physical properties Physics Physics and Astronomy Porous media Resistance heating Temperature distribution Thermodynamic efficiency Thermodynamics
Title	Temperature distribution and entropy generation during Darcy–Forchheimer–Brinkman electrokinetic flow in a microfluidic tube subject to a prescribed heat flux
URI	https://link.springer.com/article/10.1007/s11012-020-01152-y https://www.proquest.com/docview/2392538271
Volume	55
WOSCitedRecordID	wos000523061200001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVAVX databaseName: SpringerLINK Contemporary 1997-Present customDbUrl: eissn: 1572-9648 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0010005 issn: 0025-6455 databaseCode: RSV dateStart: 19970101 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT9wwEB7xKFIvhVKqbkuRD71BJDZx4vjY0q56QoiXuEV-ltXuJmiTFPbW_9B_0J_WX8LY67CiKkgg-ZL4IUsz4_nseQF82tfGZrEWkWGMRVQr6oyEOuL7IjdaUp0b64tNsMPD_OKCH4WgsLrzdu9Mkv6kXgS7uVRUkbvuOBgTR7NlWEV1lztxPD45v7MdOBjSFWrNaJqGUJn_r3FfHS0w5j9mUa9tBuvP2-cGvAroknyes8NrWDLlJqwHpEmCHNebsOYdP1X9Bv6cGgTO88TKRLssuqEAFhGlJu7pt7qakR8-ObX_PY9rJF9RQGZ_f_0eVCgol2Y4MVP8-oJ9o4koSaiuM0IMi1shdlxdkyGuSSbOAdCO26HG300rDalb6d6CSFNht3PLxXNM4m6dlsCJ7c0WnA2-nR58j0LdhkgladZEPMmtpnHfZiaWXFKpEmFZnkquOLNJJlQmhRUKG0f8wXPGVSx02hcZNwm2t7BSVqV5B4RaiUc5FxyBGuUmE9QKmRjF8JbFrLQ96HfkK1RIau5qa4yLRTpmR44CyVF4chSzHuzezbmap_R4dPR2xxVFEO-6iBFVoqaIWb8Hex0XLLofXu3904Z_gJexZyTnYLkNK820NR_hhfrZDOvpjmf7W4pyBAI
linkProvider	Springer Nature
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3NbtQwEB6VFgSXthQQSwv1gRtE6iZOHB8psGrVdlXBgnqL_Aur7ibVJgH21nfoG_TReBLGXqcrECCB5EviH1maGc9nzx_A8z1tbBZrERnGWES1os5IqCO-J3KjJdW5sb7YBBsO87MzfhqCwurO270zSfqTehns5lJRRe6642BMHM1vwRpFjeUc-d69_3hjO3AwpCvUmtE0DaEyv1_jZ3W0xJi_mEW9thls_N8-N2E9oEvyasEO92HFlFuwEZAmCXJcb8Ed7_ip6gdwPTIInBeJlYl2WXRDASwiSk3c0291MSeffHJq_3sR10jeoIDMv19eDSoUlM9mPDUz_NrHvvOpKEmornOOGBa3Quyk-krGuCaZOgdAO2nHGn83rTSkbqV7CyJNhd3OLRfPMYm7dVoCJ7bfHsKHwdvR64Mo1G2IVJJmTcST3GqkjM1MLLmkUiXCsjyVXHFmk0yoTAorFDaO-IPnjKtY6LQvMm4SbI9gtaxK8xgItRKPci44AjXKTSaoFTIxiuEti1lpe9DvyFeokNTc1daYFMt0zI4cBZKj8OQo5j14cTPnYpHS46-jdzquKIJ410WMqBI1Rcz6PXjZccGy-8-rPfm34btw92B0clwcHw6PtuFe7JnKOVvuwGoza81TuK2-NON69syLwA_AvQbm
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1Lb9QwEB5BeYgLLQXElhZ84AZRu4kTx0egXbUCrSq1oN4iP8uqu8lqkwB74z_0H_DT-CWMHacLCJAQki-JH7I0M57PnhfAsz1tbBZrERnGWES1os5IqCO-J3KjJdW5sb7YBBuP87MzfvxDFL_3du9Nkl1Mg8vSVDa7c213V4FvLi1V5K4-DtLE0fI63KCuaJC7r5-8v7IjOEjSF23NaJqGsJnfr_GzalrhzV9MpF7zjNb_f88bcDegTvKyY5N7cM2Um7AeECgJ8l1vwi3vEKrq-_D11CCg7hIuE-2y64bCWESUmrgn4Wq-JOc-abX_3cU7kn0UnOW3L5ejCgXog5nMzAK_XmHfxUyUJFTduUBsi1shdlp9IhNck8ycY6CdthONv5tWGlK30r0RkabCbueui-ebxN067YET288P4N3o4PT1YRTqOUQqSbMm4kluNY2HNjOx5JJKlQjL8lRyxZlNMqEyKaxQ2DjiEp4zrmKh06HIuEmwPYS1sirNIyDUSjziueAI4Cg3maBWyMQohrcvZqUdwLAnZaFCsnNXc2NarNI0O3IUSI7Ck6NYDuD51Zx5l-rjr6O3ew4pgtjXRYxoEzVIzIYDeNFzxKr7z6tt_dvwp3D7eH9UvD0av3kMd2LPU84HcxvWmkVrduCm-thM6sUTLw3fAW5PD8o
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=Temperature+distribution+and+entropy+generation+during+Darcy%E2%80%93Forchheimer%E2%80%93Brinkman+electrokinetic+flow+in+a+microfluidic+tube+subject+to+a+prescribed+heat+flux&rft.jtitle=Meccanica+%28Milan%29&rft.au=Misra%2C+J.+C.&rft.au=Mallick%2C+B.&rft.au=Steinmann%2C+P.&rft.date=2020-05-01&rft.issn=0025-6455&rft.eissn=1572-9648&rft.volume=55&rft.issue=5&rft.spage=1079&rft.epage=1098&rft_id=info:doi/10.1007%2Fs11012-020-01152-y&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s11012_020_01152_y
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0025-6455&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0025-6455&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0025-6455&client=summon