A line vortex in a two-fluid system

This paper considers the classical problem of a line vortex in planar flow of a fluid. However, an interface is present at some finite radius from the line vortex, and beyond that is a second fluid of different density. The interface is therefore subject to shearing-type instabilities and may overtu...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	Journal of engineering mathematics Ročník 84; číslo 1; s. 181 - 199
Hlavní autori:	Forbes, Lawrence K., Cosgrove, Jason M.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Dordrecht Springer Netherlands 01.02.2014
Predmet:	Applications of Mathematics Computational fluid dynamics Computational Mathematics and Numerical Analysis Density Filtering Fluid flow Fluids Mathematical and Computational Engineering Mathematical Modeling and Industrial Mathematics Mathematical models Mathematics Mathematics and Statistics Spectral methods Theoretical and Applied Mechanics Vortices Boussinesq approximation Fluid interface Interfacial roll-up Line vortex Spectral methods Curvature singularity
ISSN:	0022-0833, 1573-2703
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Abstract	This paper considers the classical problem of a line vortex in planar flow of a fluid. However, an interface is present at some finite radius from the line vortex, and beyond that is a second fluid of different density. The interface is therefore subject to shearing-type instabilities and may overturn as time progresses. A linearized inviscid theory is developed and reveals unstable behaviours, dependent on the parameters in the system. The non-linear inviscid problem is solved by a spectral method, and high-frequency modes are regularized by a type of filtering. In addition, a Boussinesq viscous model is presented and allows the overturning interface to fold. Results are discussed and compared with the predictions of the inviscid theory.
AbstractList	This paper considers the classical problem of a line vortex in planar flow of a fluid. However, an interface is present at some finite radius from the line vortex, and beyond that is a second fluid of different density. The interface is therefore subject to shearing-type instabilities and may overturn as time progresses. A linearized inviscid theory is developed and reveals unstable behaviours, dependent on the parameters in the system. The non-linear inviscid problem is solved by a spectral method, and high-frequency modes are regularized by a type of filtering. In addition, a Boussinesq viscous model is presented and allows the overturning interface to fold. Results are discussed and compared with the predictions of the inviscid theory.
Author	Cosgrove, Jason M. Forbes, Lawrence K.
Author_xml	– sequence: 1 givenname: Lawrence K. surname: Forbes fullname: Forbes, Lawrence K. email: larry.forbes@utas.edu.au organization: School of Mathematics and Physics, University of Tasmania – sequence: 2 givenname: Jason M. surname: Cosgrove fullname: Cosgrove, Jason M. organization: School of Mathematics and Physics, University of Tasmania
BookMark	eNp9kDtPwzAURi1UJNrCD2CLxMJiuH7GGauKl1SJBWYrcRzkKrWL7QD996QKE0Onu5xz9eks0MwHbxG6JnBHAMr7REBKgYFQXEmQWJyhORElw7QENkNzAEoxKMYu0CKlLQBUitM5ulkVvfO2-Aox25_C-aIu8nfAXT-4tkiHlO3uEp13dZ_s1d9dovfHh7f1M968Pr2sVxtsmOAZm04J1TCleNlQ2ShrQdRVx5nhgnEQylRCtpRx2o7LeCuhMRYaYhlRUPKGLdHt9Hcfw-dgU9Y7l4zt-9rbMCRNBB1XSwnliJYTamJIKdpOG5fr7ILPsXa9JqCPWfSURY9Z9DGLFqNJ_pn76HZ1PJx06OSkkfUfNuptGKIfW5yQfgHGyHO8
CitedBy_id	crossref_primary_10_1007_s10665_017_9920_z crossref_primary_10_1017_S1446181115000085 crossref_primary_10_1017_jfm_2019_1068 crossref_primary_10_1017_S1446181115000243 crossref_primary_10_1093_qjmam_hbx025
Cites_doi	10.1016/j.jcp.2010.11.017 10.1017/S0022112098003334 10.1017/S0022112005007561 10.1098/rspa.1979.0009 10.1063/1.1491255 10.1007/s003329900080 10.1111/j.1365-2966.2010.17284.x 10.1007/s10665-010-9374-z 10.1016/0021-9991(86)90210-X 10.1115/1.2926492 10.1016/j.jcp.2003.10.023 10.1016/j.ijheatfluidflow.2009.02.020 10.1007/BF00646234 10.1017/S0022112005007305 10.1017/S1446181112000090 10.1063/1.3574370 10.1063/1.1790496 10.1103/PhysRevE.74.066303 10.1017/S0022112075001784 10.1007/s10665-009-9288-9 10.1093/imamat/hxh063 10.1016/j.jcp.2006.06.010 10.1017/CBO9780511616938 10.1088/0951-7715/6/6/001
ContentType	Journal Article
Copyright	Springer Science+Business Media Dordrecht 2013
Copyright_xml	– notice: Springer Science+Business Media Dordrecht 2013
DBID	AAYXX CITATION 7TB 8FD FR3 KR7
DOI	10.1007/s10665-012-9606-5
DatabaseName	CrossRef Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database Civil Engineering Abstracts
DatabaseTitle	CrossRef Civil Engineering Abstracts Engineering Research Database Technology Research Database Mechanical & Transportation Engineering Abstracts
DatabaseTitleList	Civil Engineering Abstracts
DeliveryMethod	fulltext_linktorsrc
Discipline	Applied Sciences Engineering Mathematics
EISSN	1573-2703
EndPage	199
ExternalDocumentID	10_1007_s10665_012_9606_5
GroupedDBID	-54 -5F -5G -BR -EM -Y2 -~C -~X .86 .VR 06D 0R~ 0VY 1N0 1SB 2.D 203 28- 29K 29~ 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5GY 5QI 5VS 67Z 6NX 6TJ 78A 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 ABTAH ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACPIV 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 AI. 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 BAPOH BBWZM BDATZ BGNMA BSONS CAG COF CS3 CSCUP D-I DDRTE DL5 DNIVK DPUIP DU5 EBLON EBS EIOEI EJD ESBYG F5P FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR 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 P9R PF- PKN PT4 PT5 QOK QOS R4E R89 R9I RHV RNI RNS ROL RPX RSV RZC RZE RZK S16 S1Z S26 S27 S28 S3B SAP SCLPG SDD SDH SDM SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPH SPISZ SRMVM SSLCW STPWE SZN T13 T16 TEORI TN5 TSG TSK TSV TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW VH1 W23 W48 WH7 WK8 YLTOR Z45 Z5O Z7R Z7X Z7Y Z86 Z8M Z8S ZMTXR ZWQNP ZY4 ~02 ~EX AAPKM AAYXX ABBRH ABDBE ABFSG ABJCF ABRTQ ACSTC ADHKG AEZWR AFDZB AFFHD AFHIU AFKRA AFOHR AGQPQ AHPBZ AHWEU AIXLP ARAPS ATHPR AYFIA BENPR BGLVJ CCPQU CITATION HCIFZ M7S PHGZM PHGZT PQGLB PTHSS 7TB 8FD FR3 KR7
ID	FETCH-LOGICAL-c354t-cf858b38847b26b8ee05a9f43c4534058c956d2342d1574d60bce0b1e318074b3
IEDL.DBID	RSV
ISICitedReferencesCount	6
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000330955000017&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	0022-0833
IngestDate	Thu Oct 02 10:56:30 EDT 2025 Sat Nov 29 05:49:17 EST 2025 Tue Nov 18 21:31:32 EST 2025 Fri Feb 21 02:37:52 EST 2025
IsPeerReviewed	true
IsScholarly	true
Issue	1
Keywords	Boussinesq approximation Fluid interface Interfacial roll-up Line vortex Spectral methods Curvature singularity
Language	English
License	http://www.springer.com/tdm
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c354t-cf858b38847b26b8ee05a9f43c4534058c956d2342d1574d60bce0b1e318074b3
Notes	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
PQID	1520986607
PQPubID	23500
PageCount	19
ParticipantIDs	proquest_miscellaneous_1520986607 crossref_citationtrail_10_1007_s10665_012_9606_5 crossref_primary_10_1007_s10665_012_9606_5 springer_journals_10_1007_s10665_012_9606_5
PublicationCentury	2000
PublicationDate	2014-02-01
PublicationDateYYYYMMDD	2014-02-01
PublicationDate_xml	– month: 02 year: 2014 text: 2014-02-01 day: 01
PublicationDecade	2010
PublicationPlace	Dordrecht
PublicationPlace_xml	– name: Dordrecht
PublicationTitle	Journal of engineering mathematics
PublicationTitleAbbrev	J Eng Math
PublicationYear	2014
Publisher	Springer Netherlands
Publisher_xml	– name: Springer Netherlands
References	ChandrasekharSHydrodynamic and hydromagnetic stability1981New YorkDover BatchelorGKAn Introduction to Fluid Dynamics1977CambridgeCambridge University Press BakerGRPhamLDA comparison of blob methods for vortex sheet roll-upJ. Fluid Mech.20065472973162006JFM...547..297B10.1017/S00221120050073051082.760782263355 CaflischRELiXShelleyMJThe collapse of an axi-symmetric, swirling vortex sheetNonlinearity199368438671993Nonli...6..843C10.1088/0951-7715/6/6/0010796.760221251246 DrazinPGReidWHHydrodynamic stability20042CambridgeCambridge University Press10.1017/CBO97805116169381055.76001 BakerGRBealeJTVortex blob methods applied to interfacial motionJ. Comput. Phys.20041962332582004JCoPh.196..233B10.1016/j.jcp.2003.10.0231115.763802054344 CrowdyDGExact solutions for steady capillary waves on a fluid annulusJ. Nonlinear Sci.199996156401999JNS.....9..615C10.1007/s0033299000800949.760121718171 CataldoJCSkalafurisAJLaboratory plasmas and the galactic spiral armsAstrophys. Space Sci.197532L11L141975Ap&SS..32L..11C10.1007/BF00646234 MooreDWThe spontaneous appearance of a singularity in the shape of an evolving vortex sheetProc. Roy. Soc. London A19793651051191979RSPSA.365..105M10.1098/rspa.1979.00090404.76040 CrapperGDDombrowskiNPyottGADKelvin-Helmholtz wave growth on cylindrical sheetsJ. Fluid Mech.1975684975021975JFM....68..497C10.1017/S00221120750017840316.76025 ChambersKForbesLKThe magnetic Rayleigh-Taylor instability for inviscid and viscous fluidsPhys. Plasmas201118052101 Van DykeMAn album of fluid motion1982Stanford, CaliforniaParabolic Press von Winckel G (2004) lgwt.m, at: MATLAB file exchange website. http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=4540&objectType=file SiamasGAJiangXWrobelLCNumerical investigation of a perturbed swirling annular two-phase jetInt. J. Heat Fluid Flow20093048149310.1016/j.ijheatfluidflow.2009.02.020 HallidayDResnickRWalkerJFundamentals of Physics20057New JerseyWiley International FarrowDEHockingGCA numerical model for withdrawal from a two-layer fluidJ. Fluid Mech.20065491411572006JFM...549..141F10.1017/S00221120050075612263248 ForbesLKA cylindrical Rayleigh-Taylor instability: radial outflow from pipes or starsJ. Eng. Math.201170205224 ForbesLKChenMJTrenhamCEComputing unstable periodic waves at the interface of two inviscid fluids in uniform vertical flowJ. Comput. Phys.20072212692872007JCoPh.221..269F10.1016/j.jcp.2006.06.0101123.760122290572 TryggvasonGDahmWJASbeihKFine structure of vortex sheet rollup by viscous and inviscid simulationJ. Fluids Engineering1991113313610.1115/1.2926492 ChenMJForbesLKAccurate methods for computing inviscid and viscous Kelvin-Helmholtz instabilityJ. Comput. Phys.2011230149915152011JCoPh.230.1499C10.1016/j.jcp.2010.11.017058671002753375 ForbesLKRayleigh-Taylor instabilities in axi-symmetric outflow from a point sourceANZIAM J.2011538712110.1017/S14461811120000901247.760322966172 Van DykeMPerturbation methods in fluid mechanics1975Stanford, CaliforniaParabolic Press0329.76002 AbramowitzMStegunIAHandbook of Mathematical Functions1972New YorkDover0543.33001 ForbesLKThe Rayleigh-Taylor instability for inviscid and viscous fluidsJ. Eng. Math.200965273290 BlythMGVanden-BroeckJ-MNew solutions for capillary waves on curved sheets of fluidIMA J. Appl. Math.2005705886012005JApMa..70..588B10.1093/imamat/hxh0631079.760172156460 LovelaceRVERomanovaMMUstyugovaGVKoldobaAVOne-sided outflows/jets from rotating stars with complex magnetic fieldsMon. Not. R. Astron. Soc.2010408208320912010MNRAS.408.2083L10.1111/j.1365-2966.2010.17284.x KrasnyRDesingularization of periodic vortex sheet roll-upJ. Comput. Phys.1986652923131986JCoPh..65..292K10.1016/0021-9991(86)90210-X0591.76059 AntonHCalculus with analytic geometry1980New YorkWiley SakajoTFormation of curvature singularity along vortex line in an axisymmetric, swirling vortex sheetPhys. Fluids200214288628972002PhFl...14.2886S10.1063/1.14912551917315 MatsuokaCNishiharaKAnalytical and numerical study on a vortex sheet in incompressible Richtmyer-Meshkov instability in cylindrical geometryPhys. Rev. E200674066303 EpsteinROn the Bell-Plesset effects: The effects of uniform compression and geometrical convergence on the classical Rayleigh-Taylor instabilityPhys. Plasmas200411511451242004PhPl...11.5114E10.1063/1.1790496 CowleySJBakerGRTanveerSOn the formation of Moore curvature singularities in vortex sheetsJ. Fluid Mech.19993782332671999JFM...378..233C10.1017/S00221120980033341671776 JohnsonLWRiessRDNumerical Analysis19822MassachusettsAddison-Wesley0557.65001 T Sakajo (9606_CR18) 2002; 14 GD Crapper (9606_CR16) 1975; 68 S Chandrasekhar (9606_CR2) 1981 GR Baker (9606_CR9) 2006; 547 9606_CR12 9606_CR11 9606_CR31 R Epstein (9606_CR13) 2004; 11 9606_CR30 M Dyke Van (9606_CR1) 1982 GK Batchelor (9606_CR23) 1977 GA Siamas (9606_CR19) 2009; 30 DE Farrow (9606_CR25) 2006; 549 (9606_CR26) 1972 M Dyke Van (9606_CR20) 1975 DG Crowdy (9606_CR32) 1999; 9 MJ Chen (9606_CR10) 2011; 230 MG Blyth (9606_CR33) 2005; 70 R Krasny (9606_CR6) 1986; 65 H Anton (9606_CR28) 1980 RE Caflisch (9606_CR17) 1993; 6 LW Johnson (9606_CR29) 1982 LK Forbes (9606_CR15) 2011; 53 GR Baker (9606_CR7) 2004; 196 D Halliday (9606_CR22) 2005 9606_CR27 DW Moore (9606_CR4) 1979; 365 G Tryggvason (9606_CR8) 1991; 113 LK Forbes (9606_CR24) 2007; 221 PG Drazin (9606_CR3) 2004 SJ Cowley (9606_CR5) 1999; 378 RVE Lovelace (9606_CR14) 2010; 408 JC Cataldo (9606_CR21) 1975; 32
References_xml	– reference: ChandrasekharSHydrodynamic and hydromagnetic stability1981New YorkDover – reference: MatsuokaCNishiharaKAnalytical and numerical study on a vortex sheet in incompressible Richtmyer-Meshkov instability in cylindrical geometryPhys. Rev. E200674066303 – reference: FarrowDEHockingGCA numerical model for withdrawal from a two-layer fluidJ. Fluid Mech.20065491411572006JFM...549..141F10.1017/S00221120050075612263248 – reference: ChambersKForbesLKThe magnetic Rayleigh-Taylor instability for inviscid and viscous fluidsPhys. Plasmas201118052101 – reference: EpsteinROn the Bell-Plesset effects: The effects of uniform compression and geometrical convergence on the classical Rayleigh-Taylor instabilityPhys. Plasmas200411511451242004PhPl...11.5114E10.1063/1.1790496 – reference: CaflischRELiXShelleyMJThe collapse of an axi-symmetric, swirling vortex sheetNonlinearity199368438671993Nonli...6..843C10.1088/0951-7715/6/6/0010796.760221251246 – reference: SakajoTFormation of curvature singularity along vortex line in an axisymmetric, swirling vortex sheetPhys. Fluids200214288628972002PhFl...14.2886S10.1063/1.14912551917315 – reference: SiamasGAJiangXWrobelLCNumerical investigation of a perturbed swirling annular two-phase jetInt. J. Heat Fluid Flow20093048149310.1016/j.ijheatfluidflow.2009.02.020 – reference: BatchelorGKAn Introduction to Fluid Dynamics1977CambridgeCambridge University Press – reference: HallidayDResnickRWalkerJFundamentals of Physics20057New JerseyWiley International – reference: DrazinPGReidWHHydrodynamic stability20042CambridgeCambridge University Press10.1017/CBO97805116169381055.76001 – reference: CataldoJCSkalafurisAJLaboratory plasmas and the galactic spiral armsAstrophys. Space Sci.197532L11L141975Ap&SS..32L..11C10.1007/BF00646234 – reference: ForbesLKRayleigh-Taylor instabilities in axi-symmetric outflow from a point sourceANZIAM J.2011538712110.1017/S14461811120000901247.760322966172 – reference: MooreDWThe spontaneous appearance of a singularity in the shape of an evolving vortex sheetProc. Roy. Soc. London A19793651051191979RSPSA.365..105M10.1098/rspa.1979.00090404.76040 – reference: LovelaceRVERomanovaMMUstyugovaGVKoldobaAVOne-sided outflows/jets from rotating stars with complex magnetic fieldsMon. Not. R. Astron. Soc.2010408208320912010MNRAS.408.2083L10.1111/j.1365-2966.2010.17284.x – reference: Van DykeMPerturbation methods in fluid mechanics1975Stanford, CaliforniaParabolic Press0329.76002 – reference: AbramowitzMStegunIAHandbook of Mathematical Functions1972New YorkDover0543.33001 – reference: ChenMJForbesLKAccurate methods for computing inviscid and viscous Kelvin-Helmholtz instabilityJ. Comput. Phys.2011230149915152011JCoPh.230.1499C10.1016/j.jcp.2010.11.017058671002753375 – reference: von Winckel G (2004) lgwt.m, at: MATLAB file exchange website. http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=4540&objectType=file – reference: BakerGRPhamLDA comparison of blob methods for vortex sheet roll-upJ. Fluid Mech.20065472973162006JFM...547..297B10.1017/S00221120050073051082.760782263355 – reference: JohnsonLWRiessRDNumerical Analysis19822MassachusettsAddison-Wesley0557.65001 – reference: CrapperGDDombrowskiNPyottGADKelvin-Helmholtz wave growth on cylindrical sheetsJ. Fluid Mech.1975684975021975JFM....68..497C10.1017/S00221120750017840316.76025 – reference: CrowdyDGExact solutions for steady capillary waves on a fluid annulusJ. Nonlinear Sci.199996156401999JNS.....9..615C10.1007/s0033299000800949.760121718171 – reference: CowleySJBakerGRTanveerSOn the formation of Moore curvature singularities in vortex sheetsJ. Fluid Mech.19993782332671999JFM...378..233C10.1017/S00221120980033341671776 – reference: ForbesLKChenMJTrenhamCEComputing unstable periodic waves at the interface of two inviscid fluids in uniform vertical flowJ. Comput. Phys.20072212692872007JCoPh.221..269F10.1016/j.jcp.2006.06.0101123.760122290572 – reference: AntonHCalculus with analytic geometry1980New YorkWiley – reference: BakerGRBealeJTVortex blob methods applied to interfacial motionJ. Comput. Phys.20041962332582004JCoPh.196..233B10.1016/j.jcp.2003.10.0231115.763802054344 – reference: BlythMGVanden-BroeckJ-MNew solutions for capillary waves on curved sheets of fluidIMA J. Appl. Math.2005705886012005JApMa..70..588B10.1093/imamat/hxh0631079.760172156460 – reference: TryggvasonGDahmWJASbeihKFine structure of vortex sheet rollup by viscous and inviscid simulationJ. Fluids Engineering1991113313610.1115/1.2926492 – reference: ForbesLKA cylindrical Rayleigh-Taylor instability: radial outflow from pipes or starsJ. Eng. Math.201170205224 – reference: Van DykeMAn album of fluid motion1982Stanford, CaliforniaParabolic Press – reference: KrasnyRDesingularization of periodic vortex sheet roll-upJ. Comput. Phys.1986652923131986JCoPh..65..292K10.1016/0021-9991(86)90210-X0591.76059 – reference: ForbesLKThe Rayleigh-Taylor instability for inviscid and viscous fluidsJ. Eng. Math.200965273290 – volume: 230 start-page: 1499 year: 2011 ident: 9606_CR10 publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2010.11.017 – volume: 378 start-page: 233 year: 1999 ident: 9606_CR5 publication-title: J. Fluid Mech. doi: 10.1017/S0022112098003334 – volume-title: An Introduction to Fluid Dynamics year: 1977 ident: 9606_CR23 – volume: 549 start-page: 141 year: 2006 ident: 9606_CR25 publication-title: J. Fluid Mech. doi: 10.1017/S0022112005007561 – volume: 365 start-page: 105 year: 1979 ident: 9606_CR4 publication-title: Proc. Roy. Soc. London A doi: 10.1098/rspa.1979.0009 – volume: 14 start-page: 2886 year: 2002 ident: 9606_CR18 publication-title: Phys. Fluids doi: 10.1063/1.1491255 – volume: 9 start-page: 615 year: 1999 ident: 9606_CR32 publication-title: J. Nonlinear Sci. doi: 10.1007/s003329900080 – volume: 408 start-page: 2083 year: 2010 ident: 9606_CR14 publication-title: Mon. Not. R. Astron. Soc. doi: 10.1111/j.1365-2966.2010.17284.x – ident: 9606_CR12 doi: 10.1007/s10665-010-9374-z – volume-title: Perturbation methods in fluid mechanics year: 1975 ident: 9606_CR20 – volume: 65 start-page: 292 year: 1986 ident: 9606_CR6 publication-title: J. Comput. Phys. doi: 10.1016/0021-9991(86)90210-X – volume: 113 start-page: 31 year: 1991 ident: 9606_CR8 publication-title: J. Fluids Engineering doi: 10.1115/1.2926492 – volume: 196 start-page: 233 year: 2004 ident: 9606_CR7 publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2003.10.023 – volume-title: Handbook of Mathematical Functions year: 1972 ident: 9606_CR26 – volume: 30 start-page: 481 year: 2009 ident: 9606_CR19 publication-title: Int. J. Heat Fluid Flow doi: 10.1016/j.ijheatfluidflow.2009.02.020 – volume: 32 start-page: L11 year: 1975 ident: 9606_CR21 publication-title: Astrophys. Space Sci. doi: 10.1007/BF00646234 – volume-title: Hydrodynamic and hydromagnetic stability year: 1981 ident: 9606_CR2 – volume: 547 start-page: 297 year: 2006 ident: 9606_CR9 publication-title: J. Fluid Mech. doi: 10.1017/S0022112005007305 – volume: 53 start-page: 87 year: 2011 ident: 9606_CR15 publication-title: ANZIAM J. doi: 10.1017/S1446181112000090 – ident: 9606_CR31 doi: 10.1063/1.3574370 – volume: 11 start-page: 5114 year: 2004 ident: 9606_CR13 publication-title: Phys. Plasmas doi: 10.1063/1.1790496 – volume-title: Numerical Analysis year: 1982 ident: 9606_CR29 – ident: 9606_CR11 doi: 10.1103/PhysRevE.74.066303 – volume-title: An album of fluid motion year: 1982 ident: 9606_CR1 – volume: 68 start-page: 497 year: 1975 ident: 9606_CR16 publication-title: J. Fluid Mech. doi: 10.1017/S0022112075001784 – ident: 9606_CR27 – volume-title: Calculus with analytic geometry year: 1980 ident: 9606_CR28 – ident: 9606_CR30 doi: 10.1007/s10665-009-9288-9 – volume: 70 start-page: 588 year: 2005 ident: 9606_CR33 publication-title: IMA J. Appl. Math. doi: 10.1093/imamat/hxh063 – volume: 221 start-page: 269 year: 2007 ident: 9606_CR24 publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2006.06.010 – volume-title: Hydrodynamic stability year: 2004 ident: 9606_CR3 doi: 10.1017/CBO9780511616938 – volume-title: Fundamentals of Physics year: 2005 ident: 9606_CR22 – volume: 6 start-page: 843 year: 1993 ident: 9606_CR17 publication-title: Nonlinearity doi: 10.1088/0951-7715/6/6/001
SSID	ssj0009842
Score	2.0020633
Snippet	This paper considers the classical problem of a line vortex in planar flow of a fluid. However, an interface is present at some finite radius from the line...
SourceID	proquest crossref springer
SourceType	Aggregation Database Enrichment Source Index Database Publisher
StartPage	181
SubjectTerms	Applications of Mathematics Computational fluid dynamics Computational Mathematics and Numerical Analysis Density Filtering Fluid flow Fluids Mathematical and Computational Engineering Mathematical Modeling and Industrial Mathematics Mathematical models Mathematics Mathematics and Statistics Spectral methods Theoretical and Applied Mechanics Vortices
Title	A line vortex in a two-fluid system
URI	https://link.springer.com/article/10.1007/s10665-012-9606-5 https://www.proquest.com/docview/1520986607
Volume	84
WOSCitedRecordID	wos000330955000017&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: Springer Nature - Connect here FIRST to enable access customDbUrl: eissn: 1573-2703 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0009842 issn: 0022-0833 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/eLvHCXMwnV1bS8MwFD7o9EEfnE7FeSOiT0qgbS5NH4coPugQb-wtNGkKg9HJ2k1_vsnablNU0MdCGspJTs6Xnu98B-CMeorziIU4TFWAnaIXVn5Mceorrm1AVGE0LRS-Dbtd0etF91Udd16z3euU5PSkXih249wRzQLsUDdmy7Bio51w_RoeHl_mSruCziTCLb4gdSrzuyk-B6M5wvySFJ3Gmuvmv75yEzYqaIk65V7YgiWTtaBZwUxUOXHegvUFDUL7dDcTbs234bSDHO5EE8fBfUf9DMWoeBvidDDuJ6iUfd6B5-urp8sbXPVRwJowWmCdCiYUETYQqYArYYzH4iilRFNGLGAT2l6SkoDQIPFZSBPuKW085bvfoxZhKLILjWyYmT1AJorthY1qlUbECdHEiT0yaKJpqLWKdNAGrzao1JXIuOt1MZBzeWRnIGkNJJ2BJGvD-eyV11Jh47fBJ_UqSesHLrkRZ2Y4zqXv-DyCcy9sw0W9NLJyyPznGff_NPoA1ixioiVt-xAaxWhsjmBVT4p-PjqebsQP9f_Tbw
linkProvider	Springer Nature
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnZ3fS8MwEMcPnYL64HQqzp8RfVIC_ZGm6eMQh-I2RKfsLTRpCoPRydpN_3yTtd2mqKCPhTSUSy73Te_yCcAFsQSlgedjPxYONkQvLOyQ4NgWVOqAKPxgelC45Xc6rNcLHopz3GlZ7V6mJKcr9cJhN0pNoZmDjerG3jKsEB2wDDD_8ellTtplZIYI1_rCLVOZ33XxORjNFeaXpOg01jSr__rKLdgspCVq5HNhG5ZUUoNqITNR4cRpDTYWGIT6qT0Dt6Y7cN5ARneiianBfUf9BIUoexvieDDuRyjHPu_Cc_Ome32Li3sUsHQ9kmEZM48Jl-lAJBwqmFKWFwYxcSXxXC3YmNSbpMhxiRPZnk8iagmpLGGb36NaYQh3DyrJMFH7gFQQ6g0bkSIOXAOiCSO9ZJBIEl9KEUinDlZpUC4LyLi562LA53hkYyCuDcSNgbhXh8vZK685YeO3xmflKHHtBya5ESZqOE65bep5GKWWX4ercmh44ZDpzz0e_Kn1Kazddtst3rrr3B_CulZPJC_hPoJKNhqrY1iVk6yfjk6mk_ID6JDWUw
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1bS8MwFD7oFNEHL1NxXiP6pIS1TZqmj0MdinMMvLC30KQtDEY31m76803WdlNRQXwspKGc5OR8p-fLdwDOqSUZ810Pe7F0sFH0wtIOKI5tyZQOiNLzpxeFW167zbtdv1P0OU1LtntZkszvNBiVpiSrD8O4_uHiG2OGdOZgg8CxuwhL1PDoTbr--DJX3eV0JheusQYpy5rfTfE5MM3R5pcC6TTuNDf-_cWbsF5ATtTI98gWLERJFTYK-IkK506rsPZBm1A_PcwEXdNtOGsgg0fRxHBz31AvQQHKXgc47o97IcrloHfguXnzdHWLi_4KWBGXZljF3OWScB2gpMMkjyLLDfyYEkVdooEcVzp5Ch1CndB2PRoyS6rIkrb5baqRhyS7UEkGSbQHKPIDnchRJWOfGIGaINRHCQ0V9ZSSvnJqYJXGFaoQHzc9MPpiLptsDCS0gYQxkHBrcDF7ZZgrb_w2-LRcMaH9wxQ9giQajFNhG54PZ8zyanBZLpMoHDX9ecb9P40-gZXOdVO07tr3B7CqQRXNmd2HUMlG4-gIltUk66Wj4-n-fAepVt83
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=A+line+vortex+in+a+two-fluid+system&rft.jtitle=Journal+of+engineering+mathematics&rft.au=Forbes%2C+Lawrence+K.&rft.au=Cosgrove%2C+Jason+M.&rft.date=2014-02-01&rft.issn=0022-0833&rft.eissn=1573-2703&rft.volume=84&rft.issue=1&rft.spage=181&rft.epage=199&rft_id=info:doi/10.1007%2Fs10665-012-9606-5&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s10665_012_9606_5
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-0833&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-0833&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-0833&client=summon