Application of high order one dimensional equation in predicting open channel flow properties with lateral contraction

Document Type : Technical Note

Authors

Department of Water Resources Engineering, Faculty of Agriculture, Razi University, Kermanshah, Iran

Abstract

Canal structures with lateral contraction are commonly used to measure discharge in open channel. According to three dimensional flow, extracting rating curve for these structures is done by using a physical or three dimensional mathematical flow models. A considerable amount of time and money iare required when utilizing these models. Boussinesq equations, which is extracted by considering streamline curvature and slope, exhibit high accuracy in predicting hydraulic properties in structures with varying bed. In this paper, the equations are developed for contraction. The extracted equations are used for obtaining the rating curve of Parshall flume and predicting water surface profile of Khafagi flume and rating curve s of Parshall flume. Comparing experimental data with equations shows the high accuracy of Boussinesq equation to predicting water surface profile and the rating curve of structures with contraction and varying bed. The time for solving the one dimensional equations is much less than the three dimensional model FLOW3D.

Keywords


اسدی، م.، کوچک‌زاده، ص. و ستوده‌نیا، ع. (1390). راهنمای اندازه‌گیری جریان آب. کمیته ملی آبیاری و زهکشی ایران.
کبیری سامانی، ع. و باقری، س. (1393). طراحی کانال‌ها و سازه‌های انتقال آب، ارکان دانش.
Darvishi, E. Fenton, J. and Kouchakzadeh, S., (2017). “Boussinesq equations for flows over steep slopes and structures”, Journal of Hydraulic Research, 55(3), 324-337.
Dressler, R. F. (1978). “New nonlinear shallow-flow equations with curvature”. Journal of Hydraulic Research, 16(3), 205-222.
Gharangik, A. M., and Chaudhry, M. H. (1991). “Numerical simulation of hydraulic jump”. Journal of Hydraulic Engineering, 117(9), 1195-1211.
Khafagi, A. (1942). “Der Venturikanal: Theorie und Anwendung”. Versuchsanstalt für Wasserbau, Eidgenössische Technische Hochschule Zürich, Mitteilung 1. Leemann, Zürich, Switzerland [in German]
Mohapatra, P., and Chaudhry, M. (2004). “Numerical solution of Boussinesq equations to simulate Dam-Break flows”. Journal of Hydraulic Engineering, 130(2), 156-159.
Parshall R. L. (1936). The parshall measuring Flume, Colorado State College, Colorado Experiment Station, Fort Collins.
Zerihun, Y. T., and Fenton, J. D. (2007). “A Boussinesq-Type model for flow over trapezoidal profile weirs”. Journal of Hydraulic Research, 45(4), 519-528.
Volume 13, Issue 3 - Serial Number 133
January 2019
Pages 117-125
  • Receive Date: 02 May 2018
  • Revise Date: 18 June 2018
  • Accept Date: 04 July 2018
  • First Publish Date: 22 November 2018