A Nonlinear Stability Analysis of Convection in a Porous Vertical Channel Including Local Thermal Nonequilibrium
The problem is considered of thermal convection in a saturated porous medium contained in an infinite vertical channel with differentially heated sidewalls. The theory employed allows for different solid and fluid temperatures in the matrix. Nonlinear energy stability theory is used to derive a Rayl...
Saved in:
| Published in | Journal of mathematical fluid mechanics Vol. 15; no. 1; pp. 171 - 178 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Basel
SP Birkhäuser Verlag Basel
01.03.2013
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1422-6928 1422-6952 |
| DOI | 10.1007/s00021-012-0109-y |
Cover
| Abstract | The problem is considered of thermal convection in a saturated porous medium contained in an infinite vertical channel with differentially heated sidewalls. The theory employed allows for different solid and fluid temperatures in the matrix. Nonlinear energy stability theory is used to derive a Rayleigh number threshold below which convection will not occur no matter how large the initial data. A generalized nonlinear analysis is also given which shows convection cannot occur for any Rayleigh number provided the initial data is suitably restricted. |
|---|---|
| AbstractList | The problem is considered of thermal convection in a saturated porous medium contained in an infinite vertical channel with differentially heated sidewalls. The theory employed allows for different solid and fluid temperatures in the matrix. Nonlinear energy stability theory is used to derive a Rayleigh number threshold below which convection will not occur no matter how large the initial data. A generalized nonlinear analysis is also given which shows convection cannot occur for any Rayleigh number provided the initial data is suitably restricted. |
| Author | Straughan, B. Scott, Nicola L. |
| Author_xml | – sequence: 1 givenname: Nicola L. surname: Scott fullname: Scott, Nicola L. email: n.l.scott@durham.ac.uk organization: Department of Mathematics, University of Durham – sequence: 2 givenname: B. surname: Straughan fullname: Straughan, B. organization: Department of Mathematics, University of Durham |
| BookMark | eNp9kE1LAzEQhoMo2FZ_gLeA59VJtkmbYyl-FIoKVq8hm822KdukTXaF_fdmqSgIeggTwjzvTJ4hOnXeGYSuCNwQgMltBABKMiA0HRBZd4IGZExpxgWjp993Oj1Hwxi3AGTCBB2g_Qw_eVdbZ1TAr40qbG2bDs-cqrtoI_YVnnv3YXRjvcPWYYVffPBtxO8mNFarGs83yjlT44XTdVtat8ZL37-vNibsUk355tCm3CLYdneBzipVR3P5VUfo7f5uNX_Mls8Pi_lsmemc8CYjmgMbK6qhLFTBSqCC50JMyrHKp5pRzjXnHFQpKCtzxgpQXHADRSUqZcppPkLXx9x98IfWxEZufRvSt6LME83GU5Gz1EWOXTr4GIOp5D7YnQqdJCB7sfIoViaxshcru8RMfjHaNqr30wRl639JeiRjmuLWJvzs9Df0CfFfkBk |
| CitedBy_id | crossref_primary_10_1063_5_0075075 crossref_primary_10_3390_fluids6110375 crossref_primary_10_1088_1873_7005_ad9fa7 crossref_primary_10_1007_s11242_021_01711_1 crossref_primary_10_1017_jfm_2014_260 crossref_primary_10_1007_s11242_017_0897_x crossref_primary_10_1007_s11242_018_1074_6 crossref_primary_10_1063_1_4939287 crossref_primary_10_1515_zna_2019_0350 crossref_primary_10_1007_s10440_014_9930_z crossref_primary_10_1063_5_0046358 crossref_primary_10_1038_s41598_022_20966_2 crossref_primary_10_1016_j_ijthermalsci_2021_107311 crossref_primary_10_1007_s00707_016_1690_6 crossref_primary_10_1017_jfm_2022_411 crossref_primary_10_1016_j_ijheatmasstransfer_2014_08_051 crossref_primary_10_1017_jfm_2015_154 crossref_primary_10_1063_5_0158115 crossref_primary_10_1063_5_0180217 crossref_primary_10_1063_5_0231663 crossref_primary_10_3390_math7111085 crossref_primary_10_1115_1_4035199 crossref_primary_10_1016_j_icheatmasstransfer_2024_108571 crossref_primary_10_1017_jfm_2018_745 crossref_primary_10_1016_j_jmmm_2016_08_010 crossref_primary_10_1017_jfm_2022_919 crossref_primary_10_1166_jon_2022_1822 crossref_primary_10_1017_jfm_2024_490 crossref_primary_10_1016_j_applthermaleng_2020_115705 crossref_primary_10_3390_en16134938 crossref_primary_10_1016_j_amc_2020_125486 crossref_primary_10_1115_1_4055859 crossref_primary_10_1007_s00021_014_0183_4 crossref_primary_10_1002_htj_22590 crossref_primary_10_1016_j_ijthermalsci_2017_05_028 crossref_primary_10_1016_j_amc_2017_04_032 crossref_primary_10_1063_1_4819121 crossref_primary_10_1016_j_ijheatmasstransfer_2022_122935 crossref_primary_10_1063_5_0127782 crossref_primary_10_1007_s11242_023_01975_9 crossref_primary_10_1115_1_4047506 crossref_primary_10_1007_s11242_018_1222_z crossref_primary_10_1007_s00366_021_01492_7 crossref_primary_10_1098_rspa_2012_0655 crossref_primary_10_1016_j_ijthermalsci_2018_08_027 crossref_primary_10_1140_epjp_s13360_024_05207_x crossref_primary_10_1115_1_4051322 crossref_primary_10_1007_s11242_014_0274_y crossref_primary_10_1007_s11242_020_01431_y crossref_primary_10_1016_j_ijthermalsci_2016_03_002 |
| Cites_doi | 10.1007/s11242-010-9694-5 10.1017/S0022112069001273 10.1007/s001610050109 10.1103/PhysRevE.84.026307 10.1615/JPorMedia.v14.i8.10 10.1016/j.ijheatfluidflow.2010.06.003 10.1098/rspa.2005.1555 10.1007/s12206-011-0137-1 10.1088/1742-2132/7/4/009 10.1115/1.3248199 10.1002/er.928 10.1063/1.858545 10.1007/s11242-011-9727-8 10.1007/s11242-011-9747-4 10.1007/BF00280699 10.1098/rspa.1987.0134 10.1016/0017-9310(88)90260-8 10.1098/rspa.1985.0118 10.1007/s11242-004-5130-z 10.1016/j.ijheatmasstransfer.2011.02.023 10.1098/rspa.2009.0523 10.1016/j.ijheatmasstransfer.2004.09.027 10.1016/j.ijthermalsci.2010.11.018 10.1016/j.euromechflu.2010.09.003 10.1016/j.ces.2011.07.041 10.1063/1.2405321 10.1016/S0017-9310(01)00331-3 10.1016/j.icheatmasstransfer.2011.04.023 10.1016/S0735-1933(99)00084-6 10.1007/BF00276872 10.1007/978-0-387-21740-6 |
| ContentType | Journal Article |
| Copyright | Springer Basel AG 2012 Springer Basel AG 2012. |
| Copyright_xml | – notice: Springer Basel AG 2012 – notice: Springer Basel AG 2012. |
| DBID | AAYXX CITATION 7XB 8FE 8FG ABJCF AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ HCIFZ L6V M2P M7S PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U |
| DOI | 10.1007/s00021-012-0109-y |
| DatabaseName | CrossRef ProQuest Central (purchase pre-March 2016) ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central UK/Ireland ProQuest Central Essentials ProQuest Central ProQuest Technology Collection (LUT) ProQuest One Community College ProQuest Central Korea ProQuest Central Student SciTech Premium Collection ProQuest Engineering Collection Science Database (via ProQuest SciTech Premium Collection) Engineering Database (Proquest) ProQuest Central Premium ProQuest One Academic ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef Engineering Database ProQuest Central Student Technology Collection ProQuest Central Basic ProQuest One Academic Middle East (New) ProQuest Central Essentials ProQuest Science Journals ProQuest One Academic Eastern Edition SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest One Academic ProQuest Central (New) Engineering Collection ProQuest One Academic (New) |
| DatabaseTitleList | Engineering Database |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Physics |
| EISSN | 1422-6952 |
| EndPage | 178 |
| ExternalDocumentID | 10_1007_s00021_012_0109_y |
| GroupedDBID | -5F -5G -BR -EM -Y2 -~C .86 .VR 06D 0VY 1N0 1SB 203 29L 29~ 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2VQ 2~H 30V 4.4 406 408 409 40D 40E 5GY 5VS 67Z 6NX 78A 8TC 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 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 ACREN ACSNA ACZOJ ADHHG ADHIR ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADYOE ADZKW AEBTG AEFQL AEGAL AEGNC AEJHL AEJRE AEKMD AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFGCZ AFLOW AFQWF AFWTZ AFYQB 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 AMTXH AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BDATZ BGNMA BSONS CAG COF CS3 CSCUP DDRTE DL5 DNIVK DPUIP DU5 EBLON EBS EIOEI EJD ESBYG 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~ IHE IJ- IKXTQ IWAJR IXC IXD IXE IZIGR IZQ I~X J-C J0Z J9A JBSCW JCJTX JZLTJ KDC KOV LAS LLZTM M4Y MA- MBV N2Q N9A NB0 NPVJJ NQJWS NU0 O9- O93 O9J OAM P2P P9T PF0 PT4 PT5 QOS R89 R9I RNI RNS ROL RPX RSV RZK S16 S1Z S27 S3B SAP SDH SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPH SPISZ SRMVM SSLCW STPWE SZN T13 TSG TSK TSV TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z45 ZMTXR AAPKM AAYXX ABBRH ABDBE ABFSG ABRTQ ACSTC ADHKG AEZWR AFDZB AFHIU AFOHR AGQPQ AHPBZ AHWEU AIXLP ATHPR AYFIA CITATION 7XB 8FE 8FG ABJCF AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ HCIFZ L6V M2P M7S PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U |
| ID | FETCH-LOGICAL-c316t-1c6054a2c0dbab5d02963997d4a38c5266c6660ad925d355b0a696e0bf9faed83 |
| IEDL.DBID | BENPR |
| ISSN | 1422-6928 |
| IngestDate | Thu Oct 30 03:51:39 EDT 2025 Thu Apr 24 23:09:24 EDT 2025 Wed Oct 01 02:28:10 EDT 2025 Fri Feb 21 02:37:23 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | 76R10 Local thermal nonequilibrium Porous vertical channel Energy stability 76S05 80A20 Convection |
| Language | English |
| License | http://www.springer.com/tdm |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c316t-1c6054a2c0dbab5d02963997d4a38c5266c6660ad925d355b0a696e0bf9faed83 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| PQID | 3266548935 |
| PQPubID | 2043894 |
| PageCount | 8 |
| ParticipantIDs | proquest_journals_3266548935 crossref_primary_10_1007_s00021_012_0109_y crossref_citationtrail_10_1007_s00021_012_0109_y springer_journals_10_1007_s00021_012_0109_y |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 20130300 2013-3-00 20130301 |
| PublicationDateYYYYMMDD | 2013-03-01 |
| PublicationDate_xml | – month: 3 year: 2013 text: 20130300 |
| PublicationDecade | 2010 |
| PublicationPlace | Basel |
| PublicationPlace_xml | – name: Basel – name: Heidelberg |
| PublicationTitle | Journal of mathematical fluid mechanics |
| PublicationTitleAbbrev | J. Math. Fluid Mech |
| PublicationYear | 2013 |
| Publisher | SP Birkhäuser Verlag Basel Springer Nature B.V |
| Publisher_xml | – name: SP Birkhäuser Verlag Basel – name: Springer Nature B.V |
| References | Bera, Khalili (CR2) 2006; 18 Rees (CR22) 2011; 87 Rees (CR21) 1988; 31 Straughan (CR30) 2010; 466 Kumar, Bera, Kumar (CR12) 2011; 50 Kwok, Chen (CR13) 1987; 109 Galdi, Straughan (CR8) 1985; 89 Vadasz (CR34) 2011; 54 Lee, Shivakumara, Mamatha (CR14) 2011; 14 Malashetty, Shivakumara, Sridhar (CR17) 2005; 48 Banu, Rees (CR1) 2002; 45 Qin, Kaloni (CR20) 1993; 5 Sunil, Sharma, Mahajan (CR31) 2010; 7 Bhadauria, Shilpi (CR3) 2011; 88 Lide (CR15) 1991 Kumar, Bera, Khalili (CR11) 2010; 53 Malashetty, Shivakumara, Sridhar (CR16) 2005; 60 Straughan (CR27) 2004 Usha, Millet, BenHaddid, Rousset (CR33) 2011; 66 Saravanan, Sivakumar (CR24) 2011; 84 Postelnicu, Rees (CR19) 2003; 27 Flavin, Rionero (CR5) 1999; 11 Galdi, Payne, Proctor, Straughan (CR7) 1987; 414 Shivakumara, Lee, Mamatha, Ravisha (CR25) 2011; 25 Chen, Wang, Tao, Tan (CR4) 2011; 32 Galdi, Straughan (CR9) 1985; 402 Straughan (CR29) 2008 Papanicolaou, Christov, Jordan (CR18) 2011; 30 Shivakumara, Lee, Mamatha, Ravisha (CR26) 2011; 38 Straughan (CR28) 2006; 462 Gill (CR10) 1969; 35 Sunil, Sharma, Mahajan (CR32) 2011; 88 Rees, Pop (CR23) 1999; 26 Galdi (CR6) 1985; 87 G.P. Galdi (109_CR7) 1987; 414 N. Banu (109_CR1) 2002; 45 B. Straughan (109_CR27) 2004 I.S. Shivakumara (109_CR26) 2011; 38 D.R. Lide (109_CR15) 1991 Sunil (109_CR32) 2011; 88 L. Kwok (109_CR13) 1987; 109 X. Chen (109_CR4) 2011; 32 M.S. Malashetty (109_CR16) 2005; 60 Y. Qin (109_CR20) 1993; 5 J.N. Flavin (109_CR5) 1999; 11 P. Vadasz (109_CR34) 2011; 54 D.A.S. Rees (109_CR21) 1988; 31 Sunil (109_CR31) 2010; 7 G.P. Galdi (109_CR8) 1985; 89 A. Kumar (109_CR11) 2010; 53 D.A.S. Rees (109_CR22) 2011; 87 J. Lee (109_CR14) 2011; 14 N.C. Papanicolaou (109_CR18) 2011; 30 A. Postelnicu (109_CR19) 2003; 27 G.P. Galdi (109_CR6) 1985; 87 B. Straughan (109_CR30) 2010; 466 B. Straughan (109_CR28) 2006; 462 D.A.S. Rees (109_CR23) 1999; 26 A.E. Gill (109_CR10) 1969; 35 R. Usha (109_CR33) 2011; 66 B.S. Bhadauria (109_CR3) 2011; 88 I.S. Shivakumara (109_CR25) 2011; 25 B. Straughan (109_CR29) 2008 A. Kumar (109_CR12) 2011; 50 P. Bera (109_CR2) 2006; 18 G.P. Galdi (109_CR9) 1985; 402 M.S. Malashetty (109_CR17) 2005; 48 S. Saravanan (109_CR24) 2011; 84 |
| References_xml | – volume: 87 start-page: 459 year: 2011 end-page: 464 ident: CR22 article-title: The effect of local thermal nonequilibrium on the stability of convection in a vertical porous channel publication-title: Trans. Porous Media doi: 10.1007/s11242-010-9694-5 – volume: 35 start-page: 545 year: 1969 end-page: 547 ident: CR10 article-title: A proof that convection in a porous vertical slab is stable publication-title: J. Fluid Mech. doi: 10.1017/S0022112069001273 – volume: 11 start-page: 173 year: 1999 end-page: 179 ident: CR5 article-title: Nonlinear stability for a thermofluid in a vertical porous slab publication-title: Cont. Mech. Thermodyn. doi: 10.1007/s001610050109 – volume: 84 start-page: 026307 year: 2011 ident: CR24 article-title: Onset of thermovibrational filtration convection: departure from thermal equilibrium publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.84.026307 – volume: 14 start-page: 659 year: 2011 end-page: 669 ident: CR14 article-title: Effect of nonuniform temperature gradients on thermogravitational convection in a porous layer using a thermal nonequilibrium model publication-title: J. Porous Media doi: 10.1615/JPorMedia.v14.i8.10 – volume: 32 start-page: 78 year: 2011 end-page: 87 ident: CR4 article-title: Stability analysis of thermosolutal convection in a horizontal porous layer using a thermal non-equilibrium model publication-title: Int. J. Heat Fluid Flow doi: 10.1016/j.ijheatfluidflow.2010.06.003 – volume: 462 start-page: 409 year: 2006 end-page: 418 ident: CR28 article-title: Global nonlinear stability in porous convection with a thermal non-equilibrium model publication-title: Proc. Roy. Soc. Lond. A doi: 10.1098/rspa.2005.1555 – volume: 25 start-page: 911 year: 2011 end-page: 921 ident: CR25 article-title: Boundary and thermal non-equilibrium effects on convective instability in an anisotropic porous layer publication-title: J. Mech. Sci. Technol. doi: 10.1007/s12206-011-0137-1 – volume: 53 start-page: 23 year: 2010 end-page: 24 ident: CR11 article-title: Influence of inertia and drag terms on the stability of mixed convection in a vertical porous-medium channel publication-title: Int. J. Heat Mass Transf. – volume: 7 start-page: 417 year: 2010 end-page: 430 ident: CR31 article-title: Onset of Darcy-Brinkman double-diffusive convection in a magnetized ferrofluid layer using a thermal non-equilibrium model: a nonlinear stability analysis publication-title: J. Geophys. Eng. doi: 10.1088/1742-2132/7/4/009 – volume: 109 start-page: 889 year: 1987 end-page: 893 ident: CR13 article-title: Stability of thermal convection in a vertical porous layer publication-title: J. Heat Transf. doi: 10.1115/1.3248199 – volume: 27 start-page: 961 year: 2003 end-page: 973 ident: CR19 article-title: The onset of Darcy-Brinkman convection in a porous medium using a thermal nonequilibrium model. Part 1. stress-free boundaries publication-title: Int. J. Energy Res. doi: 10.1002/er.928 – volume: 5 start-page: 2067 year: 1993 end-page: 2069 ident: CR20 article-title: A nonlinear stability problem of convection in a porous vertical slab publication-title: Phys. Fluids A doi: 10.1063/1.858545 – volume: 88 start-page: 107 year: 2011 end-page: 131 ident: CR3 article-title: Convective transport in a nanofluid saturated porous layer with thermal non equilibrium model publication-title: Transp. Porous Media doi: 10.1007/s11242-011-9727-8 – year: 2008 ident: CR29 publication-title: Stability and wave motion in porous media. Applied Mathematical Sciences, vol. 165 – volume: 88 start-page: 421 year: 2011 end-page: 439 ident: CR32 article-title: Onset of Darcy-Brinkman ferroconvection in a rotating porous layer using a thermal non-equilibrium model: a nonlinear stability analysis publication-title: Transp. Porous Media. doi: 10.1007/s11242-011-9747-4 – volume: 87 start-page: 167 year: 1985 end-page: 186 ident: CR6 article-title: Nonlinear stability of the magnetic B énard problem via a generalized energy method. Arch publication-title: Ration. Mech. Anal. doi: 10.1007/BF00280699 – volume: 414 start-page: 83 year: 1987 end-page: 102 ident: CR7 article-title: Convection in thawing subsea permafrost publication-title: Proc. Roy. Soc. Lond. A doi: 10.1098/rspa.1987.0134 – year: 1991 ident: CR15 publication-title: Handbook of Chemistry and Physics – volume: 31 start-page: 1529 year: 1988 end-page: 1534 ident: CR21 article-title: The stability of Prandtl-Darcy convection in a vertical porous layer publication-title: Int. J. Heat Mass Transf. doi: 10.1016/0017-9310(88)90260-8 – year: 2004 ident: CR27 publication-title: The energy method, stability, and nonlinear convection. Applied Mathematical Sciences, vol. 91 – volume: 402 start-page: 257 year: 1985 end-page: 283 ident: CR9 article-title: A nonlinear analysis of the stabilizing effect of rotation in the B énard problem publication-title: Proc. R. Soc. Lond. doi: 10.1098/rspa.1985.0118 – volume: 60 start-page: 199 year: 2005 end-page: 215 ident: CR16 article-title: The onset of convection in an anisotropic porous layer using a thermal nonequilibrium model publication-title: Transp. Porous Media doi: 10.1007/s11242-004-5130-z – volume: 54 start-page: 2387 year: 2011 end-page: 2396 ident: CR34 article-title: Basic natural convection in a vertical porous layer differentially heated from its sidewalls subject to lack of local thermal equilibrium publication-title: Int. J. Heat Mass Transf. doi: 10.1016/j.ijheatmasstransfer.2011.02.023 – volume: 466 start-page: 2021 year: 2010 end-page: 2032 ident: CR30 article-title: Green-Naghdi fluid with non-thermal equilibrium effects publication-title: Proc. Roy. Soc. Lond. A doi: 10.1098/rspa.2009.0523 – volume: 48 start-page: 1155 year: 2005 end-page: 1163 ident: CR17 article-title: The onset of Lapwood-Brinkman convection using a thermal nonequilibrium model publication-title: Int. J. Heat Mass Transf. doi: 10.1016/j.ijheatmasstransfer.2004.09.027 – volume: 50 start-page: 725 year: 2011 end-page: 735 ident: CR12 article-title: Non-Darcy mixed convection in a vertical pipe filled with porous medium publication-title: Int. J. Therm. Sci. doi: 10.1016/j.ijthermalsci.2010.11.018 – volume: 30 start-page: 68 year: 2011 end-page: 75 ident: CR18 article-title: The influence of thermal relaxation on the oscillatory properties of two-gradient convection in a vertical slot publication-title: Eur. J. Mech. B Fluids doi: 10.1016/j.euromechflu.2010.09.003 – volume: 66 start-page: 5614 year: 2011 end-page: 5627 ident: CR33 article-title: Shear thinning film on a porous substrate: stability analysis of a one-sided model publication-title: Chem. Engng. Sci. doi: 10.1016/j.ces.2011.07.041 – volume: 18 start-page: 124103 year: 2006 ident: CR2 article-title: Influence of Prandtl number on stability of mixed convective flow in a vertical channel filled with a porous medium publication-title: Phys. Fluids doi: 10.1063/1.2405321 – volume: 45 start-page: 2221 year: 2002 end-page: 2228 ident: CR1 article-title: The onset of Darcy-B énard convection using a thermal nonequilibrium model publication-title: Int. J. Heat Mass Transf. doi: 10.1016/S0017-9310(01)00331-3 – volume: 38 start-page: 906 year: 2011 end-page: 910 ident: CR26 article-title: Effects of thermal nonequilibrium and non-uniform temperature gradients on the onset of convection in a heterogeneous porous medium publication-title: Int. Comm. Heat Mass Transf. doi: 10.1016/j.icheatmasstransfer.2011.04.023 – volume: 26 start-page: 945 year: 1999 end-page: 954 ident: CR23 article-title: Free convective stagnation point flow in a porous medium using a thermal nonequilibrium model publication-title: Int. Comm. Heat Mass Transf. doi: 10.1016/S0735-1933(99)00084-6 – volume: 89 start-page: 211 year: 1985 end-page: 228 ident: CR8 article-title: Exchange of stabilities, symmetry and nonlinear stability publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/BF00276872 – volume: 54 start-page: 2387 year: 2011 ident: 109_CR34 publication-title: Int. J. Heat Mass Transf. doi: 10.1016/j.ijheatmasstransfer.2011.02.023 – volume-title: Stability and wave motion in porous media. Applied Mathematical Sciences, vol. 165 year: 2008 ident: 109_CR29 – volume: 84 start-page: 026307 year: 2011 ident: 109_CR24 publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.84.026307 – volume: 53 start-page: 23 year: 2010 ident: 109_CR11 publication-title: Int. J. Heat Mass Transf. – volume: 88 start-page: 421 year: 2011 ident: 109_CR32 publication-title: Transp. Porous Media. doi: 10.1007/s11242-011-9747-4 – volume: 7 start-page: 417 year: 2010 ident: 109_CR31 publication-title: J. Geophys. Eng. doi: 10.1088/1742-2132/7/4/009 – volume: 14 start-page: 659 year: 2011 ident: 109_CR14 publication-title: J. Porous Media doi: 10.1615/JPorMedia.v14.i8.10 – volume: 48 start-page: 1155 year: 2005 ident: 109_CR17 publication-title: Int. J. Heat Mass Transf. doi: 10.1016/j.ijheatmasstransfer.2004.09.027 – volume: 30 start-page: 68 year: 2011 ident: 109_CR18 publication-title: Eur. J. Mech. B Fluids doi: 10.1016/j.euromechflu.2010.09.003 – volume: 414 start-page: 83 year: 1987 ident: 109_CR7 publication-title: Proc. Roy. Soc. Lond. A doi: 10.1098/rspa.1987.0134 – volume: 35 start-page: 545 year: 1969 ident: 109_CR10 publication-title: J. Fluid Mech. doi: 10.1017/S0022112069001273 – volume: 31 start-page: 1529 year: 1988 ident: 109_CR21 publication-title: Int. J. Heat Mass Transf. doi: 10.1016/0017-9310(88)90260-8 – volume: 466 start-page: 2021 year: 2010 ident: 109_CR30 publication-title: Proc. Roy. Soc. Lond. A doi: 10.1098/rspa.2009.0523 – volume: 87 start-page: 459 year: 2011 ident: 109_CR22 publication-title: Trans. Porous Media doi: 10.1007/s11242-010-9694-5 – volume-title: Handbook of Chemistry and Physics year: 1991 ident: 109_CR15 – volume: 38 start-page: 906 year: 2011 ident: 109_CR26 publication-title: Int. Comm. Heat Mass Transf. doi: 10.1016/j.icheatmasstransfer.2011.04.023 – volume: 66 start-page: 5614 year: 2011 ident: 109_CR33 publication-title: Chem. Engng. Sci. doi: 10.1016/j.ces.2011.07.041 – volume: 27 start-page: 961 year: 2003 ident: 109_CR19 publication-title: Int. J. Energy Res. doi: 10.1002/er.928 – volume: 45 start-page: 2221 year: 2002 ident: 109_CR1 publication-title: Int. J. Heat Mass Transf. doi: 10.1016/S0017-9310(01)00331-3 – volume: 26 start-page: 945 year: 1999 ident: 109_CR23 publication-title: Int. Comm. Heat Mass Transf. doi: 10.1016/S0735-1933(99)00084-6 – volume: 88 start-page: 107 year: 2011 ident: 109_CR3 publication-title: Transp. Porous Media doi: 10.1007/s11242-011-9727-8 – volume: 18 start-page: 124103 year: 2006 ident: 109_CR2 publication-title: Phys. Fluids doi: 10.1063/1.2405321 – volume: 60 start-page: 199 year: 2005 ident: 109_CR16 publication-title: Transp. Porous Media doi: 10.1007/s11242-004-5130-z – volume: 89 start-page: 211 year: 1985 ident: 109_CR8 publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/BF00276872 – volume: 11 start-page: 173 year: 1999 ident: 109_CR5 publication-title: Cont. Mech. Thermodyn. doi: 10.1007/s001610050109 – volume: 5 start-page: 2067 year: 1993 ident: 109_CR20 publication-title: Phys. Fluids A doi: 10.1063/1.858545 – volume: 25 start-page: 911 year: 2011 ident: 109_CR25 publication-title: J. Mech. Sci. Technol. doi: 10.1007/s12206-011-0137-1 – volume-title: The energy method, stability, and nonlinear convection. Applied Mathematical Sciences, vol. 91 year: 2004 ident: 109_CR27 doi: 10.1007/978-0-387-21740-6 – volume: 32 start-page: 78 year: 2011 ident: 109_CR4 publication-title: Int. J. Heat Fluid Flow doi: 10.1016/j.ijheatfluidflow.2010.06.003 – volume: 50 start-page: 725 year: 2011 ident: 109_CR12 publication-title: Int. J. Therm. Sci. doi: 10.1016/j.ijthermalsci.2010.11.018 – volume: 109 start-page: 889 year: 1987 ident: 109_CR13 publication-title: J. Heat Transf. doi: 10.1115/1.3248199 – volume: 462 start-page: 409 year: 2006 ident: 109_CR28 publication-title: Proc. Roy. Soc. Lond. A doi: 10.1098/rspa.2005.1555 – volume: 402 start-page: 257 year: 1985 ident: 109_CR9 publication-title: Proc. R. Soc. Lond. doi: 10.1098/rspa.1985.0118 – volume: 87 start-page: 167 year: 1985 ident: 109_CR6 publication-title: Ration. Mech. Anal. doi: 10.1007/BF00280699 |
| SSID | ssj0017592 |
| Score | 2.16549 |
| Snippet | The problem is considered of thermal convection in a saturated porous medium contained in an infinite vertical channel with differentially heated sidewalls.... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 171 |
| SubjectTerms | Classical and Continuum Physics Fluid- and Aerodynamics Free convection Mathematical Methods in Physics Nonlinear analysis Physics Physics and Astronomy Porous media Rayleigh number Stability analysis |
| SummonAdditionalLinks | – databaseName: SpringerLink Journals (ICM) dbid: U2A link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1dS8MwFA06EXzxYypOp-TBJyWQfiRrHsdQhsjwwcneSr4Kg7rNdX3Yv_cmazsUFXwrtE2gJ8k96T33BKHbjLMgs5oRlemExEZwIm0GVzKSSgShYsa7fY74cBw_TdikquMuarV7nZL0K3VT7Ea9nIB6KQEVZL2L9phz84JBPA77Teqgx_xJyO7fBuEiTOpU5k9NfA1GW4b5LSnqY83jMTqsSCLub1A9QTt21kZHFWHE1XQs2mjf6zd1cYoWfTzamF7IJQYC6SWva1xbjuB5hgdOX-6rGPB0hiV-mS9h14_fvLAaenN1BjObY1gx8tJFNPzs4hyGgQSLd-7atx_l1NcIlO9naPz48DoYkuowBaKjgK9IoGHjEstQU6MkIEBD4chJzwAqiWYQpzXsZKg0ImQGSIiikgtuqcpEJq1JonPUmkFHFwgrG2hBdaQMzWIWwQy3geLAJDjAC-B3EK2_aqorp3F34EWeNh7JHogUgEgdEOm6g-6aVxYbm42_Hu7WUKXVjCtSoKGcOScd6P6-hm97-9fGLv_19BU6CP15GE6E1kWt1bK018BKVurGj8JPuoDaAw priority: 102 providerName: Springer Nature |
| Title | A Nonlinear Stability Analysis of Convection in a Porous Vertical Channel Including Local Thermal Nonequilibrium |
| URI | https://link.springer.com/article/10.1007/s00021-012-0109-y https://www.proquest.com/docview/3266548935 |
| Volume | 15 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVLSH databaseName: SpringerLink Journals customDbUrl: mediaType: online eissn: 1422-6952 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0017592 issn: 1422-6928 databaseCode: AFBBN dateStart: 19990401 isFulltext: true providerName: Library Specific Holdings – providerCode: PRVAVX databaseName: SpringerLINK - Czech Republic Consortium customDbUrl: eissn: 1422-6952 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0017592 issn: 1422-6928 databaseCode: AGYKE dateStart: 19990101 isFulltext: true titleUrlDefault: http://link.springer.com providerName: Springer Nature – providerCode: PRVAVX databaseName: SpringerLink Journals (ICM) customDbUrl: eissn: 1422-6952 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0017592 issn: 1422-6928 databaseCode: U2A dateStart: 19990401 isFulltext: true titleUrlDefault: http://www.springerlink.com/journals/ providerName: Springer Nature |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV3da9swED_a5GUv3TfN1gU97GlDTLYj1XoYIylJyzZMGcvonoy-DIE0SZP4If_97hQ7YYP1yQbZEtxJdz_pTr8DeF8pmVTBSW4rl_OB14qbUOGbyYzVSWqlj2yfhbqZDr7eybsTKNq7MJRW2drEaKj90tEZ-SeEGVTiXGfyy-qBU9Uoiq62JTRMU1rBf44UY6fQTYkZqwPd0bi4_XGIK1zKWCaZDj640mnexjlFpBWldAURUxWE5ru_PdURfv4TMY2OaPIMzhoEyYZ7lT-Hk7B4AU8bNMmatbp5CashK_Y8GGbNEFPGLNgda1lI2LJiV5RyHi82sNmCGXa7XC_rDfsVc61xDLp6sAhzhkZkXpOTY9_J9TGcW2jP59R_eKhn8dpAff8KppPxz6sb3tRX4C5L1JYnDvcyA5M64a1BpYhUE1659Kio3EkUuMPNjTBep9IjLrHCKK2CsJWuTPB59ho6CxzoHJgNidPCZdaLaiAzXPQhsQrBhUKN43zogWhlWbqGfJxqYMzLA21yFH-J4i9J_OWuBx8Ov6z2zBuPfXzRKqhsFuGmPE6ZHnxslXZs_m9nbx7v7C08SWNNDEpEu4DOdl2Hd4hMtrYPp_nkug_d4WQ0Kuh5_fvbuN9MQmydpsM_UuDlnQ |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1LTxsxEB5BOJRLH7SIAG19KJdWFt6HTXyIKkpBoaQRQoC4LX6tFClNQpJVlT_X39ax401EpXLjttLu2qvx7Mxnz8w3AJ9KwZPSGU51aVo0t1JQ5Uq8UpnSMkk1t4Htsyc6N_mPO363Bn_qWhifVlnbxGCo7cj4M_JDhBm-xbnM-NfxA_Vdo3x0tW6hoWJrBdsOFGOxsOPCzX_jFm7aPv-O632Qpmen1ycdGrsMUJMlYkYTg4g-V6lhViv8NJZK77WPLH5uy3Cc1iDEZ8rKlFv0zpopIYVjupSlcraV4bjrsJFnucTN38a3097l1TKOccRDW2Z_0EKFTFt1XJUFGlOfHsFCagSTdP7YM67g7j8R2uD4zl7Dy4hYyfFCxd7AmhtuwauIXkm0DdO3MD4mvQXvhpoQxLAh63ZOatYTMirJiU9xD4UUpD8kilyOJqNqSm5DbjfO4Usdhm5A0GgNKu9USde7WoK6jP5j4Md3D1U_lClUv97BzbNIehsaQ5xoB4h2iZHMZNqyMucZGhmXaIFgRqCGof41gdWyLEwkO_c9NwbFkqY5iL9A8Rde_MW8CZ-Xr4wXTB9PPbxfL1ARf_ppsVLRJnypF211-7-D7T492Ed40bn-2S26572LPdhMff1FSILbh8ZsUrn3iIpm-kNUPQL3z63tfwFdVB2D |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LSwMxEA4-ULz4qIqPqjl4Uhazj6TNsailaik9WPG25AmFuq3d7qH_3km6W1FU8LawuwnsN8l82Zn5BqFLy2hojaKBtKoZJJqzQBgLVyIWkoeRpNqrffZYZ5A8vtLXss9pXmW7VyHJRU2DU2nKZjcTbW-WhW_EpxYQn1ZAeDBfReuJ00kAgx5ErWUYoUF9V2T3nyNgPGpWYc2fhvjqmD7Z5rcAqfc77V20XRJG3FogvIdWTFZDOyV5xOXSzGtow-dyqnwfTVq4txDAEFMMZNKnv85xJT-CxxbfulxzX9GAhxkWuD-ejoscv_gka5jN1RxkZoRh9xgVzrvhrvN5GIwKNvKRG9-8F0NfL1C8HaBB-_75thOUjRUCFYdsFoQKDjGJiBTRUgAaJOKOqDQ0INRUFHy2glMNEZpHVAMhkUQwzgyRllthdDM-RGsZTHSEsDSh4kTFUhOb0BhWuwklA1bBAGowhGNEqq-aqlJ13DW_GKVLvWQPRApApA6IdH6MrpavTBaSG389XK-gSsvVl6dASRl1qjow_XUF3-ftXwc7-dfTF2izf9dOuw-9p1O0Ffk2GS43rY7WZtPCnAFZmclzb5Af7avhKw |
| 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+Nonlinear+Stability+Analysis+of+Convection+in+a+Porous+Vertical+Channel+Including+Local+Thermal+Nonequilibrium&rft.jtitle=Journal+of+mathematical+fluid+mechanics&rft.au=Scott%2C+Nicola+L&rft.au=Straughan%2C+B&rft.date=2013-03-01&rft.pub=Springer+Nature+B.V&rft.issn=1422-6928&rft.eissn=1422-6952&rft.volume=15&rft.issue=1&rft.spage=171&rft.epage=178&rft_id=info:doi/10.1007%2Fs00021-012-0109-y |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1422-6928&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1422-6928&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1422-6928&client=summon |