Technical Papers
Apr 10, 2014

Entropy Parameter Estimation in Large-Scale Roughness Open Channel

Publication: Journal of Hydrologic Engineering
Volume 20, Issue 2

Abstract

The entropy model allows estimating, in an expeditive way, both water discharge and flow velocity field in open channels. In fact, such a model presents an almost simple analytical structure based on the evaluation of a single parameter calculated through the ratio between the mean and maximum flow velocities in the cross section. Recent studies have demonstrated that for large-scale roughness, the evaluation of the entropy parameter seems to be affected by the local conditions near the bed. In order to investigate such influence, this paper proposes an explicit relationship between the entropy parameter and the relative submergence. This relation was validated using data collected in a rectangular tilting flume of laboratory in which the bed roughness was composed of elements of regular shape such as spheres. Several tests were performed in conditions of large-scale roughness (1.9<D/d<6.4) and for different values of slope (0.05%<i<1%) and water discharge (7L/s<Q<76L/s). The method shows a good agreement between the observed and calculated data for both the velocity profiles and water discharges.

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Acknowledgments

This work was partly funded by the PRIN Italian Project, 2008, “Entropic modelling for the evaluation of the hydrodynamic characteristic in free surface flows.”

References

Ammari, A., and Remini, B. (2010). “Estimation of Algerian rivers discharges based on Chiu’s equation.” Arabian J. Geosci., 3(1), 59–65.
Ardiclioglu, M., de Araújo, J. C., and Senturk, A. I. (2005). “Applicability of velocity distribution equations in rough-bed open-channel flow.” La Houille Blanche, 4, 73–79.
Bathurst, J. C., Li, R. M., and Simons, D. B. (1981). “Resistance equation for large-scale roughness.” J. Hydraul. Div., 107(12), 1593–1613.
Bayazit, M. (1976). “Free surface flow in a channel of large relative roughness.” J. Hydraul. Res., 14(2), 115–126.
Chiu, C. L. (1987). “Entropy and probability concepts in hydraulics.” J. Hydraul. Eng., 583–600.
Chiu, C. L. (1988). “Entropy and 2-D velocity in open channels.” J. Hydraul. Eng., 738–756.
Chiu, C. L. (1989). “Velocity distribution in open channel flow.” J. Hydraul. Eng., 576–594.
Chiu, C. L., and Said, C. A. A. (1995). “Maximum and mean velocities and entropy in open-channel flow.” J. Hydraul. Eng., 26–35.
Ferro, V. (2003). “ADV measurements of velocity distributions in a gravel-bed flume.” Earth Surf. Process. Landforms, 28(7), 707–722.
Ferro, V., and Baiamonte, G. (1994). “Flow velocity profile in gravel-bed rivers.” J. Hydraul. Eng., 60–80.
Greco, M., and Mirauda, D. (2004). “Expeditive methodology for river water discharge evaluation.” Proc., 2nd Int. Conf. on Fluvial Hydraulics, River Flow, A.A. Balkema, London, U.K.
International Standards Organization (ISO). (1997). “Measurement of liquid flow in open channel—Velocity-area methods.” ISO 748, Geneva, Switzerland.
Marini, G., De Martino, G., Fontana, N., Fiorentino, M., and Singh, V. P. (2011). “Entropy approach for 2D velocity distribution in open channel flow.” J. Hydraul. Res., 49(6), 784–790.
Mirauda, D., Greco, M., and Moscarelli, P. (2011a). “Entropy based expeditive methodology for rating curves assessment.” Proc., World Acad. Sci. Eng. Tech., 5(12), 810–815.
Mirauda, D., Greco, M., and Volpe Plantamura, A. (2011b). “Influence of the entropic parameter on the flow geometry and morphology.” Proc., World Acad. Sci. Eng. Tech., 5(12), 804–809.
Moramarco, T., Ammari, A, Burnelli, A., Mirauda, D., and Pascale, V. (2008). “Entropy theory application for flow monitoring in natural channels.” Proc., iEMSs 4th Biennial Meeting Int. Congress on Environmental Modelling and Software (iEMSs 2008), M. Sanchez-Marrè, et al., eds., International Environmental Modelling and Software Society, Manno, Switzerland, 430–437.
Moramarco, T., Saltalippi, C., and Singh, V. P. (2004). “Estimation of mean velocity in natural channels based on Chiu’s velocity distribution equation.” J. Hydrol. Eng., 42–50.
Moramarco, T., and Singh, V. P. (2008). “Streamflow measurements and discharge assessment during high flood events.” Chapter 26, Hydrology and hydraulics, V. P. Singh, ed., Vol. 899, Water Resources Publications, Littleton, CO.
Moramarco, T., and Singh, V. P. (2010). “Formulation of the entropy parameter based on hydraulic and geometric characteristics of river cross sections.” J. Hydrol. Eng., 852–858.
Rouse, H. (1965). “A classification of natural rivers.” J. Hydraul. Div., 91(4), 1–25.
Shannon, C. E. (1948). “A mathematical theory of communication.” Bell Syst. Tech. J., 27, 623–656.
Singh, V. P. (2000). “The entropy theory as a tool for modelling and decision making in environmental and water resources.” Water SA, 26(1), 1–12.
Wolman, M. G. (1954). “A method of sampling coarse river-bed material.” Am. Geophys. Union Trans., 35(6), 951–956.
Xia, R. (1997). “Relation between mean and maximum velocities in a natural river.” J. Hydraul. Eng., 720–723.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 20Issue 2February 2015

History

Received: Jun 5, 2013
Accepted: Apr 7, 2014
Published online: Apr 10, 2014
Discussion open until: Jan 5, 2015
Published in print: Feb 1, 2015

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Authors

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Michele Greco [email protected]
Associate Professor, School of Engineering, Basilicata Univ., Viale dell’Ateneo Lucano 10, 85100 Potenza, Italy. E-mail: [email protected]
Domenica Mirauda [email protected]
Assistant Professor, School of Engineering, Basilicata Univ., Viale dell’Ateneo Lucano 10, 85100 Potenza, Italy (corresponding author). E-mail: [email protected]

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