Potential flow solution for a free surface flow past a sudden slope change
An analytical model was developed to calculate the pressure distribution in a free surface flow past a sudden change in channel slope. A conformal transformation technique was used to solve the problem analytically in a way that there is no need for trial and error to find the location of the free s...
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| Veröffentlicht in: | Canadian journal of civil engineering 2004-08, Vol.31 (4), p.553-560 |
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| container_title | Canadian journal of civil engineering |
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| creator | Zarrati, A R Jin, Yee-Chung Shanehsaz-zadeh, A Ahadi, F |
| description | An analytical model was developed to calculate the pressure distribution in a free surface flow past a sudden change in channel slope. A conformal transformation technique was used to solve the problem analytically in a way that there is no need for trial and error to find the location of the free surface. Two methods were employed for this simulation: flow at a corner and free streamline theory. It was shown that free streamline theory is more accurate. Experiments were conducted to verify the ability of the analytical model to calculate the pressure distribution in a channel with a sudden change in slope. Slope changes of 6.22°, 10°, and 15° were tested with various flow discharges. The analytical model predictions of pressure distribution along the channel bed and with depth agreed well with the experimental measurements. Pressures up to 25 times the hydrostatic pressure were experimentally measured near the point of sudden change in slope. These pressures were reproduced by the model. The analytical model predictions of the water surface profile over a ramp in a prototype spillway were compared with those of a numerical model. The comparison showed a good agreement.Key words: pressure distribution, free surface flow, analytical model, chute spillway, aerator ramp, potential flow. |
| doi_str_mv | 10.1139/l04-021 |
| format | Article |
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A conformal transformation technique was used to solve the problem analytically in a way that there is no need for trial and error to find the location of the free surface. Two methods were employed for this simulation: flow at a corner and free streamline theory. It was shown that free streamline theory is more accurate. Experiments were conducted to verify the ability of the analytical model to calculate the pressure distribution in a channel with a sudden change in slope. Slope changes of 6.22°, 10°, and 15° were tested with various flow discharges. The analytical model predictions of pressure distribution along the channel bed and with depth agreed well with the experimental measurements. Pressures up to 25 times the hydrostatic pressure were experimentally measured near the point of sudden change in slope. These pressures were reproduced by the model. The analytical model predictions of the water surface profile over a ramp in a prototype spillway were compared with those of a numerical model. The comparison showed a good agreement.Key words: pressure distribution, free surface flow, analytical model, chute spillway, aerator ramp, potential flow.</description><identifier>ISSN: 0315-1468</identifier><identifier>EISSN: 1208-6029</identifier><identifier>DOI: 10.1139/l04-021</identifier><identifier>CODEN: CJCEB8</identifier><language>eng</language><publisher>Ottawa, Canada: NRC Research Press</publisher><subject>Analysis ; Applied sciences ; Buildings. Public works ; Civil engineering ; Computation methods. Tables. Charts ; Exact sciences and technology ; Flow ; Flow velocity ; Free surfaces ; Hydraulic constructions ; Hydrostatic pressure ; Mathematical models ; Potential flow ; Pressure distribution ; Spillways ; Structural analysis. Stresses ; Surface flow</subject><ispartof>Canadian journal of civil engineering, 2004-08, Vol.31 (4), p.553-560</ispartof><rights>2005 INIST-CNRS</rights><rights>Copyright National Research Council of Canada Aug 2004</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c377t-c6174a9f2594d72a396ba0fbdd1b4a9116baacef5edfa41587736908c40ff5873</citedby><cites>FETCH-LOGICAL-c377t-c6174a9f2594d72a396ba0fbdd1b4a9116baacef5edfa41587736908c40ff5873</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=16178130$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Zarrati, A R</creatorcontrib><creatorcontrib>Jin, Yee-Chung</creatorcontrib><creatorcontrib>Shanehsaz-zadeh, A</creatorcontrib><creatorcontrib>Ahadi, F</creatorcontrib><title>Potential flow solution for a free surface flow past a sudden slope change</title><title>Canadian journal of civil engineering</title><addtitle>Canadian Journal of Civil Engineering</addtitle><description>An analytical model was developed to calculate the pressure distribution in a free surface flow past a sudden change in channel slope. A conformal transformation technique was used to solve the problem analytically in a way that there is no need for trial and error to find the location of the free surface. Two methods were employed for this simulation: flow at a corner and free streamline theory. It was shown that free streamline theory is more accurate. Experiments were conducted to verify the ability of the analytical model to calculate the pressure distribution in a channel with a sudden change in slope. Slope changes of 6.22°, 10°, and 15° were tested with various flow discharges. The analytical model predictions of pressure distribution along the channel bed and with depth agreed well with the experimental measurements. Pressures up to 25 times the hydrostatic pressure were experimentally measured near the point of sudden change in slope. These pressures were reproduced by the model. The analytical model predictions of the water surface profile over a ramp in a prototype spillway were compared with those of a numerical model. The comparison showed a good agreement.Key words: pressure distribution, free surface flow, analytical model, chute spillway, aerator ramp, potential flow.</description><subject>Analysis</subject><subject>Applied sciences</subject><subject>Buildings. Public works</subject><subject>Civil engineering</subject><subject>Computation methods. Tables. Charts</subject><subject>Exact sciences and technology</subject><subject>Flow</subject><subject>Flow velocity</subject><subject>Free surfaces</subject><subject>Hydraulic constructions</subject><subject>Hydrostatic pressure</subject><subject>Mathematical models</subject><subject>Potential flow</subject><subject>Pressure distribution</subject><subject>Spillways</subject><subject>Structural analysis. 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A conformal transformation technique was used to solve the problem analytically in a way that there is no need for trial and error to find the location of the free surface. Two methods were employed for this simulation: flow at a corner and free streamline theory. It was shown that free streamline theory is more accurate. Experiments were conducted to verify the ability of the analytical model to calculate the pressure distribution in a channel with a sudden change in slope. Slope changes of 6.22°, 10°, and 15° were tested with various flow discharges. The analytical model predictions of pressure distribution along the channel bed and with depth agreed well with the experimental measurements. Pressures up to 25 times the hydrostatic pressure were experimentally measured near the point of sudden change in slope. These pressures were reproduced by the model. The analytical model predictions of the water surface profile over a ramp in a prototype spillway were compared with those of a numerical model. The comparison showed a good agreement.Key words: pressure distribution, free surface flow, analytical model, chute spillway, aerator ramp, potential flow.</abstract><cop>Ottawa, Canada</cop><pub>NRC Research Press</pub><doi>10.1139/l04-021</doi><tpages>8</tpages></addata></record> |
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| ispartof | Canadian journal of civil engineering, 2004-08, Vol.31 (4), p.553-560 |
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| source | Alma/SFX Local Collection |
| subjects | Analysis Applied sciences Buildings. Public works Civil engineering Computation methods. Tables. Charts Exact sciences and technology Flow Flow velocity Free surfaces Hydraulic constructions Hydrostatic pressure Mathematical models Potential flow Pressure distribution Spillways Structural analysis. Stresses Surface flow |
| title | Potential flow solution for a free surface flow past a sudden slope change |
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