Application and Validation of Regression Analysis in the Prediction of Discharge in Asymmetric Compound Channels
Publication: Journal of Irrigation and Drainage Engineering
Volume 139, Issue 7
Abstract
A series of laboratory experiments was performed to present the overbank flow in asymmetric rectangular compound channels. For this purpose, two different sets of asymmetric models with rectangular compound cross sections were tested for a wide range of discharges. The first set consisted of nine compound cross-section models formed by a combination of three step heights and three main channel widths. The second set consisted of six compound cross section-models formed using a combination of two step heights and three main channel widths. The mean flow measurements were then related to a dimensionless parameter called the relative depth defined as the ratio of the depth above the floodplain bed to the depth above the main channel bed. The variations and interactions of the three outlined mean flows were investigated with respect to relative depth. A set of single-variable regression models has been developed for estimating the three mean flow types using relative depth as the only independent variable. Another set of multiple-variable regression models was derived using two additional dimensionless parameters, which take into account the width dimensions of the constructed asymmetric compound channel. The application of several key statistics and validation procedures indicated the high significance and reliability of the developed models in predicting the three mean flow types.
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References
Ackers, P. (1992). “Hydraulic design of two-stage channels.” Proc. ICE–Water Marit. Energy, 96(4), 247–257.
Ackers, P. (1993). “Flow formulae for straight two-stage channels.” J. Hydraul. Res., 31(4), 509–531.
Anderson, M. G., Walling, D. E., and Bates, P. D. (1996). Floodplain processes, Wiley, New York.
Atabay, S., Knight, D. W., and Seckin, G. (2005). “Effects of overbank flow on fluvial sediment transport rates.” Proc. ICE–Water Manage., 158(1), 25–34.
Babaeyan-Koopai, K., Ervine, D. A., Carling, P. A., and Cao, Z. (2002). “Velocity and turbulence measurements for two overbank flow events in River Severn.” J. Hydraul. Eng., 128(10), 697–705.
Bousmar, D., Wilkin, N., Jacquemart, J. H., and Zech, Y. (2004). “Overbank flow in symmetrically narrowing floodplains.” J. Hydraul. Eng., 130(4), 305–312.
Carollo, F. G., Ferro, V., and Termini, D. (2002). “Flow velocity measurements in vegetated channels.” J. Hydraul. Eng., 128(7), 669–673.
Ervine, D. A., Babaeyan-Koopai, K., and Sellin, R. H. J. (2000). “Two-dimensional solution for straight and meandering overbank flows.” J. Hydraul. Eng., 126(9), 653–669.
Hosseini, S. M. (2004). “Equations for discharge calculation in compound channels having homogeneous roughness.” Iran. J. Sci. Technol., 28(B5), 538–546.
Karamisheva, R., Lyness, J. F., Myers, W. R. C., and Cassells, J. B. (2005). “Improving sediment discharge prediction for overbank flows.” Proc. ICE–Water Manage., 158(1), 17–24.
Karamisheva, R. D., Lyness, J. F., Myers, W. R. C., Cassells, J. B. C., and O’Sullivan, J. (2006). “Overbank flow depth prediction in alluvial compound channels.” Proc. ICE–Water Manage., 159(3), 195–205.
Knight, D. W., et al. (1999). “The response of straight mobile bed channels to inbank and overbank flows.” Proc. ICE–Water, Marit., Energy, 136(4), 211–224.
Knight, D. W., and Brown, F. A. (2001). “Resistance studies of overbank flow in rivers with sediment using the flood channel facility.” J. Hydraul. Res., 39(3), 283–301.
Knight, D. W., and Demetriou, J. D. (1983). “Floodplain and main channel flow interaction.” J. Hydraul. Eng., 109(8), 1073–1091.
Knight, D. W., and Hamed, M. E. (1984). “Boundary shear in symmetrical compound channel.” J. Hydraul. Eng., 110(10), 1412–1430.
Kutner, M., Nachtsheim, C., Neter, J., and Li, W. (2005). Applied linear statistical models, McGraw-Hill/Irwin, New York.
Lambert, M. F., and Myers, W. R. C. (1998). “Estimating the discharge capacity in straight compound channels.” Proc. ICE–Water, Marit., Energy, 130(2), 84–94.
Maghrebi, M. F., and Ball, J. E. (2006). “New method for estimation of discharge.” J. Hydraul. Eng., 132(10), 1044–1051.
Myers, W. R. C., Knight, D. W., Lyness, J. F., Cassells, J. B., and Brown, E. (1999). “Resistance coefficient for inbank and overbank flows.” Proc. ICE–Water, Marit., Energy, 136(2), 105–115.
Myers, W. R. C., Lyness, J. F., Cassells, J. B., and O’Sullivan, J. J. (2000). “Geometrical and roughness effects on compound channel resistance.” Proc. ICE–Water Marit. Energy, 142(3), 157–166.
Rezaei, B., and Knight, D. W. (2011). “Overbank flow in compound channels with nonprismatic floodplains.” J. Hydraul. Eng., 137(8), 815–824.
Shiono, K., Al-Romaih, J. S., and Knight, D. W. (1999). “Stage-discharge assessment in compound meandering channels.” J. Hydraul. Eng., 125(1), 66–77.
Wormleaton, P. R., Allen, J., and Hadjipanos, P. (1982). “Discharge assessment in compound channel flow.” J. Hydraul. Div., 108(9), 975–993.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 139 • Issue 7 • July 2013
Pages: 542 - 550
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jul 1, 2012
Accepted: Jan 14, 2013
Published online: Jan 16, 2013
Published in print: Jul 1, 2013
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