Abstract
The chapter begins with the basic definitions and nomenclature used in open channel hydraulics and applied in the book. In the next sections the governing equations for flow and transport are derived, including unsteady gradually varied flow equations, steady gradually varied flow equations, storage equation and advection-diffusion mass and heat transport equations. All equations are derived from general equations of conservation by their simplifications to the one dimensional form. In the last section overview of the types of equations occurring in open channel hydraulics is presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abbott MB (1979) Computational hydraulics-elements of the theory of free surface flow. Pitman, London
Abbott MB, Basco DR (1989) Computational fluid dynamics. Longman Scientific and Technical, New York
Akan AO (2006) Open channel hydraulics. Butterworth-Heinemann, Oxford
Baehr HD, Stephan K (2006) Heat and mass transfer, 2nd edn. Springer, Berlin/Heidelberg
Bird RB, Steward WE, Lightfoot EN (1960) Transport phenomena. Wiley, New York
Chanson H (2004) The hydraulics of open channel flow: An introduction, 2nd edn. Elsevier, Oxford
Chow VT (1959) Open channel hydraulics. McGraw-Hill, New York
Cunge J, Holly FM, Verwey A (1980) Practical aspects of computational river hydraulics. Pitman Publishing, London
Eagleson PS (1970) Dynamic hydrology. McGraw-Hill, New York
French RH (1985) Open channel hydraulics. McGraw-Hill, New York
Henderson FM (1966) Open channel flow. Macmillan Company, New York
Hervouet JM (2007) Free surface flow – modelling with the finite element method. Wiley, Chichester
Jain SC (2000) Open channel flow. Wiley, Chichester
Korn GA, Korn TM (1968) Mathematical handbook for scientists and engineers, 2nd edn. McGraw-Hill, New York
Liggett JA (1975) Basic equations of unsteady flow. In: Mahmood K, Yevjevich V (eds.) Unsteady flow in open channels. Water Resources Publications, Fort Collins, CO
Martin JL, McCutcheon SC (1999) Hydrodynamics and transport for water quality modeling. CRC Press, Boca Raton, FL
McQuarrie DA (2003) Mathematical methods for scientists and engineers. University Science Books, Sausalito, CA
Singh VP (1996) Kinematic wave modelling in water resources: Surface water hydrology. Wiley, New York.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Szymkiewicz, R. (2010). Open Channel Flow Equations. In: Numerical Modeling in Open Channel Hydraulics. Water Science and Technology Library, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3674-2_1
Download citation
DOI: https://doi.org/10.1007/978-90-481-3674-2_1
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-3673-5
Online ISBN: 978-90-481-3674-2
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)