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A probabilistic sedimentation analysis for predicting reservoir lifetime (1989)

Gani, J. ; Yakowitz, S.

Springer

Water resources management 3 (1989), S. 191-203

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ISSN: 1573-1650

Keywords: Sedimentation ; reservoir design ; Poisson model ; sediment transport

Source: Springer Online Journal Archives 1860-2000

Topics: Architecture, Civil Engineering, Surveying , Geography

Notes: Abstract This paper describes a melding of an established set of hydrological component processes to obtain a full-scale model for reservoir sedimentation. The goal is to achieve a probabilistic system relating reservoir sedimentation to standard injection, river flow, particle transport, and dam storage subsystems. In the conclucing section, it is found that for a certain assembly of process components, the sedimentation process is Poisson, with parameters interpretable in terms of physical variables. Moreover, for the resulting parameters, a Gaussian approximation can confidently be adopted.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00872342

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A numerical study of steady plane granular chute flows using the Jenkins-Savage model and its extension (1987)

Szidarovszky, F. ; Hutter, K. ; Yakowitz, S.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 24 (1987), S. 1993-2015

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: The granular flow model proposed by Jenkins and Savage and extended by us is used here to construct numerical solutions of steady chute flows thought to be typical of granular flow behaviour.We present the governing differential equations and discuss the boundary conditions for two flow cases: (i) a fully fluidized layer of granules moving steadily under rapid shear and (ii) a fluidized bottom-near bed covered by a rigid slab of gravel in steady motion under its own weight. The boundary value problem is transformed into a dimensionless form and the emerging system of non-linear ordinary differential equations is numerically integrated. Singularities at the free surface and (in one case) also at an unknown point inside the solution interval make the problem unusual. Since the non-dimensionalization is performed with the maximum particle concentration and the maximum velocity, which are both unknown, these two parameters also enter the formulation of the problem through algebraic equations. The two-point boundary value problem is solved with the aid of the shooting method by satisfying the boundary conditions at the end of the soluton interval and these normalizing conditions by means of a minimization procedure. We outline the numerical scheme and report selective numerical results. The computations are the first performed with the exact equations of the Jenkins-Savage model; they permit delineation of the conditions of applicability of the model and thus prove to be a useful tool for the granular flow modeller.

Additional Material: 12 Ill.