Abstract
The present work compares the numerical solution and the simplified analytical solution to describe behavior of spillways. Specifically, the study focuses on the identification of the water fall profile formed at crossing a spillway. Both, the numerical and simplified analytical solutions are derived from the Navier-Stokes equations. The numerical solution can take into account information regarding the velocities, pressure and sources distributed in space within the regime of turbulence. However, numerical solutions provide detailed information that usually demand a significant amount of time and computational resources. Alternatively, the simplified analytical solution can be reduced to the most important variables such as the head of water arrival and the slope of the facing. Such simplification can incorporate additional information obtained from numerical solutions to improve the accuracy of the predictions. The objective of this study is to show how the simplified analytical solutions can better describe the water fall profiles due to a modification that takes into account a limited number of numerical solutions. This modified analytical solution uses the Reynolds number (Re) and the coefficient (a) associated to the turbulent regime.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Arreguin F (2000) Obras de Excedencia. IMTA Editorial, México, p 267
Chakib B (2013) Numerical computation of inception point location for flat-sloped stepped spillway. Int J Hydraul Eng 2(3):47–52
Ferrari A (2010) SPH simulation of free surface flow over a sharp-crested weir. Adv Water Resour 33:270–276
Fluent (2013) Fluent user’s guide. ANSYS Inc, Canonsburg
Hirt CW, Cook JL, Butler TD (1970) A Lagrangian method for calculating the dynamics of an incompressible fluid with free surface. J Compt Phys 5:103–124
Iniguez-Covarrubias M, Ojeda W, Mercado R (2012) Vertedores de Caida Libre en Presas y las Estructuras de Control de Nivel en Canales. XXII Congreso Nacional de Hidraulica. Acapulco, Guerrero, México. Nov, 5th–9th
Mercado JR, Guido P, Ojeda W, Sánchez-Sesma J (2013) Water profile over an Ogee-shaped crest and the Reynolds fractional equations. J Math Syst Sci 1:1–6
Mohammadpour R, Ghani AA, Azamathulla HM (2013) Numerical modeling of 3-D flow on porous broad crested weirs. Appl Math Model 37:9324–9337
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Rojano, F., Rojano, A., Ojeda, W., Mercado, R., Iniguez, M., Espinosa, T. (2015). Numerical and Simplified Analytical Solutions for Typical Spillways. In: Klapp, J., Ruíz Chavarría, G., Medina Ovando, A., López Villa, A., Sigalotti, L. (eds) Selected Topics of Computational and Experimental Fluid Mechanics. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-11487-3_35
Download citation
DOI: https://doi.org/10.1007/978-3-319-11487-3_35
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11486-6
Online ISBN: 978-3-319-11487-3
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)