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Uncertainty analysis of discharge coefficient of circular crested weirs
The circular crested weir (CCW) has been introduced as weirs having a high discharge coefficient (Cd). The ratio of flow head to the radius of the crest ( H / R ) is the most important parameter affecting the Cd, that the Cd ≈ a H / R b can mathematical model their relation. In this study, the param...
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| Published in: | Applied water science 2021-02, Vol.11 (2), p.1-6, Article 26 |
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| cites | cdi_FETCH-LOGICAL-c468t-8ff159bbaae884dae60d9a106321631578fdf1ca716699b1efeaa32036accab33 |
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| container_title | Applied water science |
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| creator | Parsaie, Abbas Haghiabi, Amir Hamzeh |
| description | The circular crested weir (CCW) has been introduced as weirs having a high discharge coefficient (Cd). The ratio of flow head to the radius of the crest (
H
/
R
) is the most important parameter affecting the Cd, that the
Cd
≈
a
H
/
R
b
can mathematical model their relation. In this study, the parameters of the Cd formula (i.e.,
a
and
b
) were uncertainty analyzed using Monte Carlo (MC) and Bootstrap methods (BM). To perform these methods, some of the built-in functions of Excel software were utilized. The results declared that the average values of
a
and
b
were 1.187 and 0.140. The outcome of the MC method showed that the range of
a
and
b
at 95% confidence interval changed between 1.179 to 1.194 and 0.134 to 0.146, respectively, while at the same confidence interval the BM ranged from 1.187 to 1.200 and 0.133 to 0.147. |
| doi_str_mv | 10.1007/s13201-020-01329-6 |
| format | article |
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H
/
R
) is the most important parameter affecting the Cd, that the
Cd
≈
a
H
/
R
b
can mathematical model their relation. In this study, the parameters of the Cd formula (i.e.,
a
and
b
) were uncertainty analyzed using Monte Carlo (MC) and Bootstrap methods (BM). To perform these methods, some of the built-in functions of Excel software were utilized. The results declared that the average values of
a
and
b
were 1.187 and 0.140. The outcome of the MC method showed that the range of
a
and
b
at 95% confidence interval changed between 1.179 to 1.194 and 0.134 to 0.146, respectively, while at the same confidence interval the BM ranged from 1.187 to 1.200 and 0.133 to 0.147.</description><identifier>ISSN: 2190-5487</identifier><identifier>EISSN: 2190-5495</identifier><identifier>DOI: 10.1007/s13201-020-01329-6</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Aquatic Pollution ; Bootstrap method ; Cadmium ; Comparative Law ; Confidence intervals ; Discharge coefficient ; Earth and Environmental Science ; Earth Sciences ; Excel’s solver ; Flow measurement ; Hydrogeology ; Industrial and Production Engineering ; International & Foreign Law ; Mathematical models ; Monte Carlo simulation ; Nanotechnology ; Original Article ; Parameter uncertainty ; Private International Law ; Statistical analysis ; Statistical methods ; Uncertainty ; Uncertainty analysis ; Waste Water Technology ; Water Industry/Water Technologies ; Water Management ; Water Pollution Control ; Weirs</subject><ispartof>Applied water science, 2021-02, Vol.11 (2), p.1-6, Article 26</ispartof><rights>The Author(s) 2021</rights><rights>The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c468t-8ff159bbaae884dae60d9a106321631578fdf1ca716699b1efeaa32036accab33</citedby><cites>FETCH-LOGICAL-c468t-8ff159bbaae884dae60d9a106321631578fdf1ca716699b1efeaa32036accab33</cites><orcidid>0000-0001-7312-0634</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2479186959/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2479186959?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,44590,75126</link.rule.ids></links><search><creatorcontrib>Parsaie, Abbas</creatorcontrib><creatorcontrib>Haghiabi, Amir Hamzeh</creatorcontrib><title>Uncertainty analysis of discharge coefficient of circular crested weirs</title><title>Applied water science</title><addtitle>Appl Water Sci</addtitle><description>The circular crested weir (CCW) has been introduced as weirs having a high discharge coefficient (Cd). The ratio of flow head to the radius of the crest (
H
/
R
) is the most important parameter affecting the Cd, that the
Cd
≈
a
H
/
R
b
can mathematical model their relation. In this study, the parameters of the Cd formula (i.e.,
a
and
b
) were uncertainty analyzed using Monte Carlo (MC) and Bootstrap methods (BM). To perform these methods, some of the built-in functions of Excel software were utilized. The results declared that the average values of
a
and
b
were 1.187 and 0.140. The outcome of the MC method showed that the range of
a
and
b
at 95% confidence interval changed between 1.179 to 1.194 and 0.134 to 0.146, respectively, while at the same confidence interval the BM ranged from 1.187 to 1.200 and 0.133 to 0.147.</description><subject>Aquatic Pollution</subject><subject>Bootstrap method</subject><subject>Cadmium</subject><subject>Comparative Law</subject><subject>Confidence intervals</subject><subject>Discharge coefficient</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Excel’s solver</subject><subject>Flow measurement</subject><subject>Hydrogeology</subject><subject>Industrial and Production Engineering</subject><subject>International & Foreign Law</subject><subject>Mathematical models</subject><subject>Monte Carlo simulation</subject><subject>Nanotechnology</subject><subject>Original Article</subject><subject>Parameter uncertainty</subject><subject>Private International Law</subject><subject>Statistical analysis</subject><subject>Statistical methods</subject><subject>Uncertainty</subject><subject>Uncertainty analysis</subject><subject>Waste Water Technology</subject><subject>Water Industry/Water Technologies</subject><subject>Water Management</subject><subject>Water Pollution Control</subject><subject>Weirs</subject><issn>2190-5487</issn><issn>2190-5495</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp9UE1LAzEQDaJgqf0DnhY8r2Z2s9nkKEWrUPBiz2E2HzWlbmqyRfrvTbtSb85lHsn7YB4ht0DvgdL2IUFdUShpRUuaoSz5BZlUIGnZMNlcnrFor8kspQ3N00AjKzEhi1WvbRzQ98OhwB63h-RTEVxhfNIfGNe20ME657W3_XD80D7q_RZjoaNNgzXFt_Ux3ZArh9tkZ797SlbPT-_zl3L5tnidPy5LzbgYSuFcDu46RCsEM2g5NRKB8roCXkPTCmccaGyBcyk7sM4i5utqjlpjV9dT8jr6moAbtYv-E-NBBfTq9BDiWmEcvN5axRmXnRYsZxkGxiECQAdCswwod9nrbvTaxfC1z8eoTdjH3EFSFWslCC4bmVnVyNIxpBStO6cCVcf-1di_yv2rU_-KZ1E9ilIm92sb_6z_Uf0AwUSIZA</recordid><startdate>20210201</startdate><enddate>20210201</enddate><creator>Parsaie, Abbas</creator><creator>Haghiabi, Amir Hamzeh</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><general>SpringerOpen</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7QH</scope><scope>7UA</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>GNUQQ</scope><scope>H96</scope><scope>H97</scope><scope>HCIFZ</scope><scope>L.G</scope><scope>PATMY</scope><scope>PCBAR</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PYCSY</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0001-7312-0634</orcidid></search><sort><creationdate>20210201</creationdate><title>Uncertainty analysis of discharge coefficient of circular crested weirs</title><author>Parsaie, Abbas ; Haghiabi, Amir Hamzeh</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c468t-8ff159bbaae884dae60d9a106321631578fdf1ca716699b1efeaa32036accab33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Aquatic Pollution</topic><topic>Bootstrap method</topic><topic>Cadmium</topic><topic>Comparative Law</topic><topic>Confidence intervals</topic><topic>Discharge coefficient</topic><topic>Earth and Environmental Science</topic><topic>Earth Sciences</topic><topic>Excel’s solver</topic><topic>Flow measurement</topic><topic>Hydrogeology</topic><topic>Industrial and Production Engineering</topic><topic>International & Foreign Law</topic><topic>Mathematical models</topic><topic>Monte Carlo simulation</topic><topic>Nanotechnology</topic><topic>Original Article</topic><topic>Parameter uncertainty</topic><topic>Private International Law</topic><topic>Statistical analysis</topic><topic>Statistical methods</topic><topic>Uncertainty</topic><topic>Uncertainty analysis</topic><topic>Waste Water Technology</topic><topic>Water Industry/Water Technologies</topic><topic>Water Management</topic><topic>Water Pollution Control</topic><topic>Weirs</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Parsaie, Abbas</creatorcontrib><creatorcontrib>Haghiabi, Amir Hamzeh</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>Aqualine</collection><collection>Water Resources Abstracts</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Agricultural & Environmental Science Collection</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>ProQuest Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>ProQuest Central Student</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 3: Aquatic Pollution & Environmental Quality</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Environmental Science Database</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>Publicly Available Content Database (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Environmental Science Collection</collection><collection>Directory of Open Access Journals</collection><jtitle>Applied water science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Parsaie, Abbas</au><au>Haghiabi, Amir Hamzeh</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Uncertainty analysis of discharge coefficient of circular crested weirs</atitle><jtitle>Applied water science</jtitle><stitle>Appl Water Sci</stitle><date>2021-02-01</date><risdate>2021</risdate><volume>11</volume><issue>2</issue><spage>1</spage><epage>6</epage><pages>1-6</pages><artnum>26</artnum><issn>2190-5487</issn><eissn>2190-5495</eissn><abstract>The circular crested weir (CCW) has been introduced as weirs having a high discharge coefficient (Cd). The ratio of flow head to the radius of the crest (
H
/
R
) is the most important parameter affecting the Cd, that the
Cd
≈
a
H
/
R
b
can mathematical model their relation. In this study, the parameters of the Cd formula (i.e.,
a
and
b
) were uncertainty analyzed using Monte Carlo (MC) and Bootstrap methods (BM). To perform these methods, some of the built-in functions of Excel software were utilized. The results declared that the average values of
a
and
b
were 1.187 and 0.140. The outcome of the MC method showed that the range of
a
and
b
at 95% confidence interval changed between 1.179 to 1.194 and 0.134 to 0.146, respectively, while at the same confidence interval the BM ranged from 1.187 to 1.200 and 0.133 to 0.147.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s13201-020-01329-6</doi><tpages>6</tpages><orcidid>https://orcid.org/0000-0001-7312-0634</orcidid><oa>free_for_read</oa></addata></record> |
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| source | Publicly Available Content Database (Proquest) (PQ_SDU_P3); Springer Nature - SpringerLink Journals - Fully Open Access ; Free Full-Text Journals in Chemistry |
| subjects | Aquatic Pollution Bootstrap method Cadmium Comparative Law Confidence intervals Discharge coefficient Earth and Environmental Science Earth Sciences Excel’s solver Flow measurement Hydrogeology Industrial and Production Engineering International & Foreign Law Mathematical models Monte Carlo simulation Nanotechnology Original Article Parameter uncertainty Private International Law Statistical analysis Statistical methods Uncertainty Uncertainty analysis Waste Water Technology Water Industry/Water Technologies Water Management Water Pollution Control Weirs |
| title | Uncertainty analysis of discharge coefficient of circular crested weirs |
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