Two-dimensional pipe leakage through a line crack in water distribution systems
In water distribution systems, water leakage from cracked water pipes is a major concern for water providers. Gen- erally, the relationship between the leakage rate and the water pressure can be modeled by a power function developed from the orifice equation. This paper presents an approximate solut...
Saved in:
| Published in | Journal of Zhejiang University. A. Science Vol. 14; no. 5; pp. 371 - 376 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Hangzhou
Zhejiang University Press
01.05.2013
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 1673-565X 1862-1775 |
| DOI | 10.1631/jzus.A1200227 |
Cover
Loading…
| Abstract | In water distribution systems, water leakage from cracked water pipes is a major concern for water providers. Gen- erally, the relationship between the leakage rate and the water pressure can be modeled by a power function developed from the orifice equation. This paper presents an approximate solution for the computation of the steady-state leakage rate through a lon- gitudinal line crack of a water distribution pipe considering the surrounding soil properties. The derived solution agrees well with results of numerical simulations. Compared with the traditional models, the new solution allows assessment of all the parameters that related with leakage including the pressure head inside the pipe, hydraulic conductivity, crack size and its position, and pipe size and its depth. |
|---|---|
| AbstractList | In water distribution systems, water leakage from cracked water pipes is a major concern for water providers. Generally, the relationship between the leakage rate and the water pressure can be modeled by a power function developed from the orifice equation. This paper presents an approximate solution for the computation of the steady-state leakage rate through a longitudinal line crack of a water distribution pipe considering the surrounding soil properties. The derived solution agrees well with results of numerical simulations. Compared with the traditional models, the new solution allows assessment of all the parameters that related with leakage including the pressure head inside the pipe, hydraulic conductivity, crack size and its position, and pipe size and its depth. In water distribution systems, water leakage from cracked water pipes is a major concern for water providers. Gen- erally, the relationship between the leakage rate and the water pressure can be modeled by a power function developed from the orifice equation. This paper presents an approximate solution for the computation of the steady-state leakage rate through a lon- gitudinal line crack of a water distribution pipe considering the surrounding soil properties. The derived solution agrees well with results of numerical simulations. Compared with the traditional models, the new solution allows assessment of all the parameters that related with leakage including the pressure head inside the pipe, hydraulic conductivity, crack size and its position, and pipe size and its depth. |
| Author | Shuai GUO Tu-qiao ZHANG Wei-yun SHAO David Z. ZHU Yuan-yu DUAN |
| AuthorAffiliation | College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310058, China Deptment of Civil and Environmental Engineering, University of Alberta, Edmonton, AB, T6G 2 W2, Canada |
| Author_xml | – sequence: 1 givenname: Shuai surname: Guo fullname: Guo, Shuai organization: College of Civil Engineering and Architecture, Zhejiang University – sequence: 2 givenname: Tu-qiao surname: Zhang fullname: Zhang, Tu-qiao organization: College of Civil Engineering and Architecture, Zhejiang University – sequence: 3 givenname: Wei-yun surname: Shao fullname: Shao, Wei-yun email: shaowy@zju.edu.cn organization: College of Civil Engineering and Architecture, Zhejiang University – sequence: 4 givenname: David Z. surname: Zhu fullname: Zhu, David Z. organization: Deptment of Civil and Environmental Engineering, University of Alberta – sequence: 5 givenname: Yuan-yu surname: Duan fullname: Duan, Yuan-yu organization: College of Civil Engineering and Architecture, Zhejiang University |
| BookMark | eNqNkE1rGzEQQEVJoM7HMXf11ss6GmklrY8h9CNg8MWF3pbZ3bEtey05kpaQ_vqusZNDIdCT5vDejHhX7MIHT4zdgZiCUXC__TOk6QNIIaS0n9gEKiMLsFZfjLOxqtBG__7MrlLaCqGtMHbCFsuXUHRuTz654LHnB3cg3hPucE08b2IY1huOvHeeeBux3XHn-QtmirxzKUfXDHk0eXpNmfbphl2usE90e36v2a_v35aPP4v54sfT48O8aEthc2GlURZWHeq2acpmZmClFVmDJQB2MwTVEUHZlFUnm6o1siGqsLGAQmqoOnXNvp72HmJ4Hijleu9SS32PnsKQajClVDCrtPgPFCrQprR6RIsT2saQUqRVfYhuj_G1BlEfG9fHxvVb45FX__Cty3jskSO6_kNrerLSuN2vKdbbMMQxfvpQ-HI-swl-_Tw67_8qdSX0mFT9Bbldnig |
| CitedBy_id | crossref_primary_10_1029_2018WR022736 crossref_primary_10_1061__ASCE_WR_1943_5452_0000957 crossref_primary_10_1061__ASCE_WR_1943_5452_0001628 crossref_primary_10_3390_w14050805 crossref_primary_10_1061__ASCE_WR_1943_5452_0000589 crossref_primary_10_1080_1573062X_2020_1758162 crossref_primary_10_2166_aqua_2024_184 crossref_primary_10_1007_s11269_022_03144_x crossref_primary_10_3390_w13141909 crossref_primary_10_1016_j_engstruct_2014_08_011 crossref_primary_10_2166_aqua_2020_022 |
| Cites_doi | 10.1061/(ASCE)WR.1943-5452.0000087 10.1080/15730620903447613 10.1061/(ASCE)0733-9429(1998)124:11(1146) 10.2166/wst.2012.568 10.1007/s11269-006-4635-3 10.2166/aqua.2007.065 10.1061/(ASCE)HY.1943-7900.0000578 10.1002/j.1551-8833.2006.tb07642.x |
| ContentType | Journal Article |
| Copyright | Zhejiang University and Springer-Verlag Berlin Heidelberg 2013 |
| Copyright_xml | – notice: Zhejiang University and Springer-Verlag Berlin Heidelberg 2013 |
| DBID | 2RA 92L CQIGP ~WA AAYXX CITATION 7QH 7UA C1K F1W H96 L.G 7SC 7SP 7SR 7TB 7U5 8BQ 8FD FR3 JG9 JQ2 KR7 L7M L~C L~D |
| DOI | 10.1631/jzus.A1200227 |
| DatabaseName | 维普期刊资源整合服务平台 中文科技期刊数据库-CALIS站点 维普中文期刊数据库 中文科技期刊数据库- 镜像站点 CrossRef Aqualine Water Resources Abstracts Environmental Sciences and Pollution Management ASFA: Aquatic Sciences and Fisheries Abstracts Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources Aquatic Science & Fisheries Abstracts (ASFA) Professional Computer and Information Systems Abstracts Electronics & Communications Abstracts Engineered Materials Abstracts Mechanical & Transportation Engineering Abstracts Solid State and Superconductivity Abstracts METADEX Technology Research Database Engineering Research Database Materials Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Aquatic Science & Fisheries Abstracts (ASFA) Professional Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources Aqualine ASFA: Aquatic Sciences and Fisheries Abstracts Water Resources Abstracts Environmental Sciences and Pollution Management Materials Research Database Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts Electronics & Communications Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts METADEX Computer and Information Systems Abstracts Professional Engineered Materials Abstracts Solid State and Superconductivity Abstracts Engineering Research Database Advanced Technologies Database with Aerospace |
| DatabaseTitleList | Materials Research Database Aquatic Science & Fisheries Abstracts (ASFA) Professional |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Sciences (General) Engineering |
| DocumentTitleAlternate | Two-dimensional pipe leakage through a line crack in water distribution systems |
| EISSN | 1862-1775 |
| EndPage | 376 |
| ExternalDocumentID | 10_1631_jzus_A1200227 45805407 |
| GroupedDBID | -5B -5G -BR -EM -Y2 -~C .86 .VR 06D 0R~ 0VY 188 1N0 29L 29~ 2B. 2C. 2J2 2JN 2JY 2KG 2KM 2LR 2RA 30V 4.4 406 408 40D 40E 5GY 5VR 5VS 6NX 8RM 8UJ 92E 92I 92L 92Q 93N 95- 95. 95~ 96X AAAVM AABHQ AAFGU AAHNG AAIAL AAJKR AAKDD AANZL AARHV AARTL AATNV AATVU AAUYE AAYFA AAYIU AAYQN AAYTO ABBBX ABDZT ABECU ABFGW ABFTV ABHLI ABHQN ABJNI ABJOX ABKAS ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABWNU ABXPI ACAOD ACBMV ACBRV ACBXY ACBYP ACGFS ACHSB ACHXU ACIGE ACIPQ ACKNC ACMDZ ACMLO ACOKC ACSNA ACTTH ACVWB ACWMK ACZOJ ADHIR ADINQ ADKNI ADKPE ADMDM ADOXG ADQRH ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFTE AEGNC AEJHL AEJRE AEKMD AENEX AEOHA AEPYU AESKC AESTI AETLH AEVLU AEVTX AEXYK AFLOW AFNRJ AFQWF AFUIB AFWTZ AFZKB AGAYW AGDGC AGGBP AGJBK AGMZJ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AOCGG ARMRJ ASPBG AVWKF AXYYD AZFZN B-. BA0 BDATZ BGNMA CAG CCEZO CEKLB CHBEP COF CQIGP CSCUP CW9 DDRTE DNIVK DPUIP EBLON EBS EIOEI EJD ESBYG FA0 FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 HF~ HG6 HMJXF HRMNR HVGLF HZ~ IHE IKXTQ IWAJR IXD I~X I~Z J-C JBSCW JZLTJ KOV LLZTM M4Y MA- N2Q NB0 NPVJJ NQJWS NU0 O9- O9J P9T PF0 PT4 QOS R89 R9I ROL RPX RSV S16 S1Z S27 S3B SAP SCL SDH SEG SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TCJ TGP TR2 TSG TUC U2A UG4 UGNYK UNUBA UOJIU UTJUX UZ4 UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z5O Z7R Z7S Z7V Z7X Z7Y Z7Z Z83 Z88 ZMTXR ~A9 ~WA -SC -S~ AACDK AAJBT AASML AAXDM AAYZH ABAKF ABQSL ACDTI ACPIV AEFQL AEMSY AFBBN AGQEE AGRTI AIGIU BSONS CAJEC H13 Q-- U1G U5M AAPKM AAYXX ABBRH ABDBE ABFSG ACSTC ADHKG AEZWR AFDZB AFHIU AGQPQ AHPBZ AHWEU AIXLP ATHPR AYFIA CITATION 7QH 7UA ABRTQ C1K F1W H96 L.G 7SC 7SP 7SR 7TB 7U5 8BQ 8FD FR3 JG9 JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-c407t-726371fda5cbb4b961f53e76a411ad9a13dee14b48d2b8c62bee8ab71a02518d3 |
| IEDL.DBID | U2A |
| ISSN | 1673-565X |
| IngestDate | Fri Jul 11 07:20:05 EDT 2025 Fri Jul 11 04:53:13 EDT 2025 Tue Jul 01 01:18:36 EDT 2025 Thu Apr 24 23:05:40 EDT 2025 Fri Feb 21 02:32:47 EST 2025 Wed Feb 14 10:43:03 EST 2024 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 5 |
| Keywords | Leakage Soil Pipe crack Water distribution systems Water pipes TU991 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c407t-726371fda5cbb4b961f53e76a411ad9a13dee14b48d2b8c62bee8ab71a02518d3 |
| Notes | In water distribution systems, water leakage from cracked water pipes is a major concern for water providers. Gen- erally, the relationship between the leakage rate and the water pressure can be modeled by a power function developed from the orifice equation. This paper presents an approximate solution for the computation of the steady-state leakage rate through a lon- gitudinal line crack of a water distribution pipe considering the surrounding soil properties. The derived solution agrees well with results of numerical simulations. Compared with the traditional models, the new solution allows assessment of all the parameters that related with leakage including the pressure head inside the pipe, hydraulic conductivity, crack size and its position, and pipe size and its depth. Leakage, Pipe crack, Soil. Water distribution systems, Water pipes 33-1236/O4 ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| OpenAccessLink | https://link.springer.com/content/pdf/10.1631/jzus.A1200227.pdf |
| PQID | 1618156475 |
| PQPubID | 23462 |
| PageCount | 6 |
| ParticipantIDs | proquest_miscellaneous_1642319850 proquest_miscellaneous_1618156475 crossref_primary_10_1631_jzus_A1200227 crossref_citationtrail_10_1631_jzus_A1200227 springer_journals_10_1631_jzus_A1200227 chongqing_primary_45805407 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2013-05-01 |
| PublicationDateYYYYMMDD | 2013-05-01 |
| PublicationDate_xml | – month: 05 year: 2013 text: 2013-05-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Hangzhou |
| PublicationPlace_xml | – name: Hangzhou |
| PublicationSubtitle | Applied Physics & Engineering |
| PublicationTitle | Journal of Zhejiang University. A. Science |
| PublicationTitleAbbrev | J. Zhejiang Univ. Sci. A |
| PublicationTitleAlternate | Journal of Zhejiang University Science |
| PublicationYear | 2013 |
| Publisher | Zhejiang University Press |
| Publisher_xml | – name: Zhejiang University Press |
| References | Lambert (CR11) 2001 Terzaghi, Peck, Mesri (CR14) 1996 Arfken, Weber (CR2) 1995 Ferrante (CR7) 2012; 138 Van Zyl, Clayton (CR17) 2007; 160 Cassa, Van Zyl, Laubscher (CR4) 2010; 7 Nicolini, Giacomello, Deb (CR13) 2011; 137 Kingdom, Limberger, Marin (CR10) 2006 Coetzer, Van Zyl, Clayton (CR5) 2006 Guo, Zhang, Zhang, Zhu (CR9) 2013; 67 Walski, Whitman, Baron, Gerloff (CR20) 2009 Farley, Trow (CR6) 2003 Verruijt, Booker (CR18) 2000 Walski, Bezts, Posluszny, Weir, Whitman (CR19) 2006; 98 (CR21) 2001 Lambert (CR12) 2002; 2 Greyvenstein, Van Zyl (CR8) 2007; 56 Thornton (CR15) 2002 Araujo, Ramos, Coelho (CR1) 2006; 20 Burnell, Race (CR3) 2000 Vairavamoorthy, Lumbers (CR16) 1998; 124 A.J. Coetzer (3414_CR5) 2006 K. Terzaghi (3414_CR14) 1996 T. Walski (3414_CR20) 2009 G.B. Arfken (3414_CR2) 1995 A. Verruijt (3414_CR18) 2000 S. Guo (3414_CR9) 2013; 67 M. Nicolini (3414_CR13) 2011; 137 A. Lambert (3414_CR12) 2002; 2 J.E. Zyl Van (3414_CR17) 2007; 160 M. Ferrante (3414_CR7) 2012; 138 M. Farley (3414_CR6) 2003 A.M. Cassa (3414_CR4) 2010; 7 D. Burnell (3414_CR3) 2000 W.D. Kingdom (3414_CR10) 2006 WHO World Health Organization (3414_CR21) 2001 T. Walski (3414_CR19) 2006; 98 L.S. Araujo (3414_CR1) 2006; 20 B. Greyvenstein (3414_CR8) 2007; 56 K. Vairavamoorthy (3414_CR16) 1998; 124 A. Lambert (3414_CR11) 2001 J. Thornton (3414_CR15) 2002 |
| References_xml | – volume: 160 start-page: 109 issue: 2 year: 2007 end-page: 114 ident: CR17 article-title: The effect of pressure on leakage in water distribution systems publication-title: Water Management – volume: 137 start-page: 134 issue: 1 year: 2011 end-page: 142 ident: CR13 article-title: Calibration and optimal leakage management for a real water distribution network publication-title: Journal of Water Resources Planning Management doi: 10.1061/(ASCE)WR.1943-5452.0000087 – volume: 98 start-page: 147 issue: 4 year: 2006 end-page: 155 ident: CR19 article-title: Modeling leakage reduction through pressure control publication-title: Journal American Water Works Association – volume: 7 start-page: 109 issue: 2 year: 2010 end-page: 120 ident: CR4 article-title: A numerical investigation into the effect of pressure on holes and cracks in water supply pipes publication-title: Urban Water Journal doi: 10.1080/15730620903447613 – volume: 124 start-page: 1146 issue: 11 year: 1998 end-page: 1154 ident: CR16 article-title: Leakage reduction in water distribution systems: optimal valve control publication-title: Journal of Hydraulic Engineering doi: 10.1061/(ASCE)0733-9429(1998)124:11(1146) – year: 1995 ident: CR2 publication-title: Mathematical Methods for Physicists – year: 2003 ident: CR6 publication-title: Losses in Water Distribution Networks – start-page: 1 year: 2009 end-page: 10 ident: CR20 article-title: Pressure vs. Flow Relationship for Pipe Leaks publication-title: World Environmental and Water Resources Congress – year: 2000 ident: CR3 article-title: Water Disstribution Systems Analysis: Patterns in Supply-Pipe Leakage publication-title: Proceedings of ASCE EWRI Conference, Minneapolis, USA – start-page: 3 year: 2000 end-page: 22 ident: CR18 article-title: Complex Variable Analysis of Mindlin’s Tunnel Problem publication-title: Proceedings of Development of Theoretical Geomechanics, Balkema, Sydney – year: 2002 ident: CR15 publication-title: Water Loss Control Management – volume: 67 start-page: 347 issue: 2 year: 2013 end-page: 352 ident: CR9 article-title: An approximate solution for two-dimensional groundwater infiltration in sewer systems publication-title: Water Science and Technology doi: 10.2166/wst.2012.568 – start-page: 89 year: 2001 end-page: 96 ident: CR11 article-title: What do We Know about Pressure Leakage Relationship in Distribution Systems? publication-title: Proceedings of IWA Specialised Conference: System Approach to Leakage Control and Water Distribution Systems Management, Brno, Czech Republic – volume: 20 start-page: 133 issue: 1 year: 2006 end-page: 149 ident: CR1 article-title: Pressure control for leakage minimisation in water distribution systems management publication-title: Water Resources Management doi: 10.1007/s11269-006-4635-3 – year: 2006 ident: CR5 article-title: An Experimental Investigation into the Turbulent-Flow Hydraulics of Small Circular Holes in Plastic Pipes publication-title: 8th Annual Water Distribution Systems Analysis Symposium, Cincinnati, Ohio, USA – volume: 56 start-page: 117 issue: 2 year: 2007 end-page: 124 ident: CR8 article-title: An experimental investigation into the pressure-leakage relationship of some failed water pipes publication-title: Journal of Water Supply: Research and Technology-AQUA doi: 10.2166/aqua.2007.065 – year: 2001 ident: CR21 publication-title: Leakage Management and Control—A Best Practice Manual – year: 1996 ident: CR14 publication-title: Soil Mechanics in Engineering Practice – year: 2006 ident: CR10 article-title: The Challenge of Reducing NRW in Developing Countries publication-title: WSS Sector Board Discussion, Paper No. 8, World Bank – volume: 2 start-page: 1 issue: 4 year: 2002 end-page: 20 ident: CR12 article-title: Water losses management and techniques publication-title: Water Science and Technology: Water Supply – volume: 138 start-page: 736 issue: 8 year: 2012 end-page: 743 ident: CR7 article-title: Experimental investigation of the effects of pipe material on the leak head-discharge relationship publication-title: Journal of Hydraulic Engineering doi: 10.1061/(ASCE)HY.1943-7900.0000578 – volume: 2 start-page: 1 issue: 4 year: 2002 ident: 3414_CR12 publication-title: Water Science and Technology: Water Supply – volume: 124 start-page: 1146 issue: 11 year: 1998 ident: 3414_CR16 publication-title: Journal of Hydraulic Engineering doi: 10.1061/(ASCE)0733-9429(1998)124:11(1146) – volume-title: Mathematical Methods for Physicists year: 1995 ident: 3414_CR2 – volume: 138 start-page: 736 issue: 8 year: 2012 ident: 3414_CR7 publication-title: Journal of Hydraulic Engineering doi: 10.1061/(ASCE)HY.1943-7900.0000578 – start-page: 1 volume-title: World Environmental and Water Resources Congress year: 2009 ident: 3414_CR20 – volume-title: Leakage Management and Control—A Best Practice Manual year: 2001 ident: 3414_CR21 – start-page: 89 volume-title: Proceedings of IWA Specialised Conference: System Approach to Leakage Control and Water Distribution Systems Management, Brno, Czech Republic year: 2001 ident: 3414_CR11 – volume-title: 8th Annual Water Distribution Systems Analysis Symposium, Cincinnati, Ohio, USA year: 2006 ident: 3414_CR5 – volume: 7 start-page: 109 issue: 2 year: 2010 ident: 3414_CR4 publication-title: Urban Water Journal doi: 10.1080/15730620903447613 – volume-title: Losses in Water Distribution Networks year: 2003 ident: 3414_CR6 – volume-title: Proceedings of ASCE EWRI Conference, Minneapolis, USA year: 2000 ident: 3414_CR3 – volume-title: WSS Sector Board Discussion, Paper No. 8, World Bank year: 2006 ident: 3414_CR10 – volume-title: Water Loss Control Management year: 2002 ident: 3414_CR15 – volume: 160 start-page: 109 issue: 2 year: 2007 ident: 3414_CR17 publication-title: Water Management – volume: 98 start-page: 147 issue: 4 year: 2006 ident: 3414_CR19 publication-title: Journal American Water Works Association doi: 10.1002/j.1551-8833.2006.tb07642.x – volume: 20 start-page: 133 issue: 1 year: 2006 ident: 3414_CR1 publication-title: Water Resources Management doi: 10.1007/s11269-006-4635-3 – volume: 137 start-page: 134 issue: 1 year: 2011 ident: 3414_CR13 publication-title: Journal of Water Resources Planning Management doi: 10.1061/(ASCE)WR.1943-5452.0000087 – volume-title: Soil Mechanics in Engineering Practice year: 1996 ident: 3414_CR14 – start-page: 3 volume-title: Proceedings of Development of Theoretical Geomechanics, Balkema, Sydney year: 2000 ident: 3414_CR18 – volume: 56 start-page: 117 issue: 2 year: 2007 ident: 3414_CR8 publication-title: Journal of Water Supply: Research and Technology-AQUA doi: 10.2166/aqua.2007.065 – volume: 67 start-page: 347 issue: 2 year: 2013 ident: 3414_CR9 publication-title: Water Science and Technology doi: 10.2166/wst.2012.568 |
| SSID | ssj0057067 |
| Score | 1.9865359 |
| Snippet | In water distribution systems, water leakage from cracked water pipes is a major concern for water providers. Gen- erally, the relationship between the leakage... In water distribution systems, water leakage from cracked water pipes is a major concern for water providers. Generally, the relationship between the leakage... |
| SourceID | proquest crossref springer chongqing |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 371 |
| SubjectTerms | Approximation Civil Engineering Classical and Continuum Physics Computational fluid dynamics Cracks Engineering Industrial Chemistry/Chemical Engineering Leakage Mathematical analysis Mathematical models Mechanical Engineering Pipe Water engineering |
| Title | Two-dimensional pipe leakage through a line crack in water distribution systems |
| URI | http://lib.cqvip.com/qk/88140X/201305/45805407.html https://link.springer.com/article/10.1631/jzus.A1200227 https://www.proquest.com/docview/1618156475 https://www.proquest.com/docview/1642319850 |
| Volume | 14 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjZ3LTxsxEIdHFC7tAfEoaoAiI1UtldgmXj_3GBApalW4ECk9rfxKy0ObkAQh8dfj2XihtLTqaS-za8mzY_9GHn8D8K4Qw45nzmfGMZ5xJXmmg3ZYTGWHlgrva07BtxN53OdfBmKwAO3mLkxd7d4cSdYrNYa1ZLR9cXcz_dSleQ29ewFLIqbtWMPXz7vN0itUp24ZS6ViWVQqgwTV_ON1BCn8HFU_ruMwTzekR5X528Fovd_0VmA5CUXSnXt2FRZCtQavfsEHrsFqCswp2Uv06I_rcHp2O8o8MvvnvA0yPh8HchXMZVw5SGrLQwxBeUncxLhLcl6R2yg5J8QjRTc1wCJzxvP0NfR7R2eHx1nqmpC5mJzNMpVLpujQG-Gs5baQdChYUNJwSo0vDGU-BMot1z632snchqCNVdRguqE924DFalSFN0CEYjrKycLHLYyHqFWkjwItp4HLqKs8a8HmwzSW4zkdo-RCowxULdhv5rV0iTeObS-uSsw7oktKdEnZuKQF7x_Mm0_9xXC3cVIZQwHPN0wVRtEC2f_IvlHiXzZRP9JCi04LPjQeLlPcTp8fcfO_LbfgZV63y8CCyG1YnE1uwtsoWmZ2B5a6vYODE3x-_v71aKf-ce8BZIbqzQ |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1ZbxMxEB6V9AH6QGkBNYWCkRCHxKbx-tzHCLUEesBDKoUny1fakmoTcqhSfz32rrdAOQTvI3vXszPzjTz7fQDPCzbqOmJdpi2hGRWcZtJLG4epzMhg5lzFU3B0zPsn9MOQDVdgt_kXppp2b64kq0wdw5oTvPvlajnv9HBekd7dglUa2m_agtXeu88He03yZaJbicZiLkgWsMow0Wr-skCkUjiblKdfw0Y_l6TvOPPG1WhVcfbX4VPzrPWgybizXJiOvbpB4_gfL3MP7ib0iXr157IBK77chLUfOAk3YSNF-xy9SpTUr-_Dx8HlJHNRCKAm8UDT86lHF16PQzpCSesHaRQxK7IzbcfovESXAcfOkIvUvElVC9XE0fMHcLK_N3jbz5IUQ2ZDx7fIRM6JwCOnmTWGmoLjESNecE0x1q7QmDjvMTVUutxIy3PjvdRGYB17GOnIQ2iVk9JvAWKCyIBRCxfqIvUBAHEXUF-OPeUBrDnShu1rz6hpTbmhKJMRW4o2vGlcpWwiMY9aGhcqNjPhZFU8WdWcbBteXJs3S_3B8FnjdxXiK16a6NJPgkUUFIiEOoL9zSaAUlxI1m3Dy8bfKiWD-e933P5ny6dwuz84OlSH748PHsGdvNLjiBOXj6G1mC39TkBFC_MkRcI3n88HhA |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnZ3baxQxFMYPdQtiH6ytilutRhAv4Gw3k-vQp0W7VqvVhxa2IAy5Ta1bZtfdWQr965vMZKrWC-L7IZnJ5eQLSX4fwJOMFX1LjE2UITShgtNEOmnCZSpdaMysrTkFH_b57iF9N2KjJdhu38LUt93bI8nmTUOgNJXV1tQW9RTnBG99PV_MewOc1gC8a7BMA5e9A8uDN0d7O20iZqJfG8hiLkjidcsoIjZ_KSBgFb5MyuNvvtKfl6fvmvPKMWm9-gxX4XP73c2lk3FvUemeOb-CdPzPH7sFN6MqRYNmGK3BkivXYeUHVuE6rMUsMEfPI6r6xW34eHA2SWwwCGjgHmh6MnXo1KmxT1MoegAhhYKWRWamzBidlOjM69sZsgHZG922UAOUnt-Bw-HOwavdJFo0JMbvBKtEpJwIXFjFjNZUZxwXjDjBFcVY2UxhYp3DVFNpUy0NT7VzUmmBVdjbSEvuQqeclO4eICaI9No1s369pM4LI269Gkyxo9yLOEu6sHHZS_m0QXHklMmgOUUXXrbdlpsINw8eG6d52OT4ls1Dy-Zty3bh6WV4W9QfAh-3YyD38y4cpqjSTXxEMBoIoB3B_hbjxSrOJOt34Vnb93lMEvPf17jxz5GP4Pqn18P8_dv9vftwI61tOsJFzAfQqWYLt-nFUqUfxklxAXpJEGg |
| 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=Two-dimensional+pipe+leakage+through+a+line+crack+in+water+distribution+systems&rft.jtitle=Journal+of+Zhejiang+University.+A.+Science&rft.au=Guo%2C+Shuai&rft.au=Zhang%2C+Tu-qiao&rft.au=Shao%2C+Wei-yun&rft.au=Zhu%2C+David+Z&rft.date=2013-05-01&rft.issn=1673-565X&rft.eissn=1862-1775&rft.volume=14&rft.issue=5&rft.spage=371&rft.epage=376&rft_id=info:doi/10.1631%2Fjzus.A1200227&rft.externalDBID=NO_FULL_TEXT |
| thumbnail_s | http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fimage.cqvip.com%2Fvip1000%2Fqk%2F88140X%2F88140X.jpg |