Nonlinear Kinematic-Wave Model for Predicting Open-Channel Flow Rate
An approximate model for predicting open-channel flow rate is developed. The Saint-Venant equations are approximated by a nonlinear kinematic equation for flow depth. The flow velocity is formulated as a function of flow depth to satisfy the continuity of flow. The model has two constants expressed...
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Veröffentlicht in: | Journal of hydraulic engineering (New York, N.Y.) N.Y.), 1999-08, Vol.125 (8), p.886-889 |
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container_title | Journal of hydraulic engineering (New York, N.Y.) |
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creator | Odai, Samuel Nii |
description | An approximate model for predicting open-channel flow rate is developed. The Saint-Venant equations are approximated by a nonlinear kinematic equation for flow depth. The flow velocity is formulated as a function of flow depth to satisfy the continuity of flow. The model has two constants expressed in terms of the Froude number of initial uniform flow to partially satisfy the dynamic equation for small perturbations of flow depth about an initial constant value. Under subcritical flow conditions the model gives results close to those of the Saint-Venant equations. For a given upstream flow depth the approximate magnitude of flow rate at a downstream section is readily obtained in analytical form. The model is simple, and may be useful for rapid calculations during channel routing. |
doi_str_mv | 10.1061/(ASCE)0733-9429(1999)125:8(886) |
format | Article |
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The Saint-Venant equations are approximated by a nonlinear kinematic equation for flow depth. The flow velocity is formulated as a function of flow depth to satisfy the continuity of flow. The model has two constants expressed in terms of the Froude number of initial uniform flow to partially satisfy the dynamic equation for small perturbations of flow depth about an initial constant value. Under subcritical flow conditions the model gives results close to those of the Saint-Venant equations. For a given upstream flow depth the approximate magnitude of flow rate at a downstream section is readily obtained in analytical form. 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The Saint-Venant equations are approximated by a nonlinear kinematic equation for flow depth. The flow velocity is formulated as a function of flow depth to satisfy the continuity of flow. The model has two constants expressed in terms of the Froude number of initial uniform flow to partially satisfy the dynamic equation for small perturbations of flow depth about an initial constant value. Under subcritical flow conditions the model gives results close to those of the Saint-Venant equations. For a given upstream flow depth the approximate magnitude of flow rate at a downstream section is readily obtained in analytical form. The model is simple, and may be useful for rapid calculations during channel routing.</description><subject>Applied sciences</subject><subject>Buildings. Public works</subject><subject>Exact sciences and technology</subject><subject>Hydraulic constructions</subject><subject>Mathematical models</subject><subject>Nonlinear equations</subject><subject>Numerical methods</subject><subject>Stream flow</subject><subject>TECHNICAL NOTES</subject><subject>Velocity</subject><subject>Water waves</subject><issn>0733-9429</issn><issn>1943-7900</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1999</creationdate><recordtype>article</recordtype><recordid>eNp9kcFuEzEQhq0KJELhHfZQtclhYWbtXdsckKo0pdDSIgqiN8txxmWrjTfYmyLeHi8pcOtcZiR_-mf0mbEjhFcIDb6eHl_PFzOQnJdaVHqKWusZVvUbNVWqme2xCWrBS6kBnrDJP-4Ze57SHQCKRqsJO7nsQ9cGsrE4z21th9aV3-w9FR_7FXWF72PxKdKqdUMbbourDYVy_t2GkN9Ou_5n8dkO9II99bZL9PKh77Ovp4sv87Py4urd-_nxRWmFwKHUHlbUOO5szclLySvEWmoLiisJwmt0Dh1pUS-rJTnPOQdJS0EO_NIpwffZ0S53E_sfW0qDWbfJUdfZQP02GSkawIbXTSYPHyUrCTXqGjL4dge62KcUyZtNbNc2_jIIZvRszOjZjP7M6M-Mnk32bJTJnnPAwcMmm5ztfLTBtel_ipISOGbsZodlisxdv40hmzIfzhaXJwryd1Q1jDXOOfbPjH9PePyC37otlUM</recordid><startdate>19990801</startdate><enddate>19990801</enddate><creator>Odai, Samuel Nii</creator><general>American Society of Civil Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope><scope>7TC</scope></search><sort><creationdate>19990801</creationdate><title>Nonlinear Kinematic-Wave Model for Predicting Open-Channel Flow Rate</title><author>Odai, Samuel Nii</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a441t-9f0de6c3ca53ef773211579a0838704f91cc1ce945b2becf33307eb4ec0fbc843</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1999</creationdate><topic>Applied sciences</topic><topic>Buildings. Public works</topic><topic>Exact sciences and technology</topic><topic>Hydraulic constructions</topic><topic>Mathematical models</topic><topic>Nonlinear equations</topic><topic>Numerical methods</topic><topic>Stream flow</topic><topic>TECHNICAL NOTES</topic><topic>Velocity</topic><topic>Water waves</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Odai, Samuel Nii</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Mechanical Engineering Abstracts</collection><jtitle>Journal of hydraulic engineering (New York, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Odai, Samuel Nii</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonlinear Kinematic-Wave Model for Predicting Open-Channel Flow Rate</atitle><jtitle>Journal of hydraulic engineering (New York, N.Y.)</jtitle><date>1999-08-01</date><risdate>1999</risdate><volume>125</volume><issue>8</issue><spage>886</spage><epage>889</epage><pages>886-889</pages><issn>0733-9429</issn><eissn>1943-7900</eissn><coden>JHEND8</coden><abstract>An approximate model for predicting open-channel flow rate is developed. The Saint-Venant equations are approximated by a nonlinear kinematic equation for flow depth. The flow velocity is formulated as a function of flow depth to satisfy the continuity of flow. The model has two constants expressed in terms of the Froude number of initial uniform flow to partially satisfy the dynamic equation for small perturbations of flow depth about an initial constant value. Under subcritical flow conditions the model gives results close to those of the Saint-Venant equations. For a given upstream flow depth the approximate magnitude of flow rate at a downstream section is readily obtained in analytical form. The model is simple, and may be useful for rapid calculations during channel routing.</abstract><cop>Reston, VA</cop><pub>American Society of Civil Engineers</pub><doi>10.1061/(ASCE)0733-9429(1999)125:8(886)</doi><tpages>4</tpages></addata></record> |
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source | American Society of Civil Engineers:NESLI2:Journals:2014 |
subjects | Applied sciences Buildings. Public works Exact sciences and technology Hydraulic constructions Mathematical models Nonlinear equations Numerical methods Stream flow TECHNICAL NOTES Velocity Water waves |
title | Nonlinear Kinematic-Wave Model for Predicting Open-Channel Flow Rate |
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