A conceptual model for sheet-flow drawn from rapid granular flow theories

João Gouveia Aparício Bento Leal

A conceptual model for sheet-flow drawn from rapid granular flow theories

DEC - Departamento de Engenharia Civil

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper is aimed at presenting i) a simple, yet sound, conceptual model ap-plicable to the simulation of erosion, deposition and transport of cohesionlesssediment in stratiﬁed ﬂows under high shear stresses and ii) numerical solutionsin idealized unsteady ﬂow non-equilibrium transport situations. The conceptualmodel for the granular phase comprises 2DV mass and momentum and energyequations and constitutive equations, all derived within the dense limit of theChapman-Enskog kinetic theory. 1D shallow-ﬂow conservation and closure equa-tions are derived for the ﬂuid-granular mixture. Formulas for the average velocityin the transport layers, the vertical net ﬂux of sediment mass and the thickness ofthe transport layer are thus obtained. Numerical solutions for dam-break ﬂowsover cohesionless mobile beds in prismatic and non-prismatic channels are ob-tained and discussed.

Original language	Unknown
Title of host publication	IAHR Congress
Pages	3872-3879
Publication status	Published - 1 Jan 2009
Event	XXXIII IAHR Congress - Duration: 1 Jan 2009 → …

Conference

Conference	XXXIII IAHR Congress
Period	1/01/09 → …

Access to Document

https://converis:Sdk83Ac.Sd@puredev.unl.pt/converis/7634.pdf

Cite this

Leal, J. G. A. B. (2009). A conceptual model for sheet-flow drawn from rapid granular flow theories. In IAHR Congress (pp. 3872-3879)

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abstract = "This paper is aimed at presenting i) a simple, yet sound, conceptual model ap-plicable to the simulation of erosion, deposition and transport of cohesionlesssediment in stratiﬁed ﬂows under high shear stresses and ii) numerical solutionsin idealized unsteady ﬂow non-equilibrium transport situations. The conceptualmodel for the granular phase comprises 2DV mass and momentum and energyequations and constitutive equations, all derived within the dense limit of theChapman-Enskog kinetic theory. 1D shallow-ﬂow conservation and closure equa-tions are derived for the ﬂuid-granular mixture. Formulas for the average velocityin the transport layers, the vertical net ﬂux of sediment mass and the thickness ofthe transport layer are thus obtained. Numerical solutions for dam-break ﬂowsover cohesionless mobile beds in prismatic and non-prismatic channels are ob-tained and discussed.",

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N2 - This paper is aimed at presenting i) a simple, yet sound, conceptual model ap-plicable to the simulation of erosion, deposition and transport of cohesionlesssediment in stratiﬁed ﬂows under high shear stresses and ii) numerical solutionsin idealized unsteady ﬂow non-equilibrium transport situations. The conceptualmodel for the granular phase comprises 2DV mass and momentum and energyequations and constitutive equations, all derived within the dense limit of theChapman-Enskog kinetic theory. 1D shallow-ﬂow conservation and closure equa-tions are derived for the ﬂuid-granular mixture. Formulas for the average velocityin the transport layers, the vertical net ﬂux of sediment mass and the thickness ofthe transport layer are thus obtained. Numerical solutions for dam-break ﬂowsover cohesionless mobile beds in prismatic and non-prismatic channels are ob-tained and discussed.

AB - This paper is aimed at presenting i) a simple, yet sound, conceptual model ap-plicable to the simulation of erosion, deposition and transport of cohesionlesssediment in stratiﬁed ﬂows under high shear stresses and ii) numerical solutionsin idealized unsteady ﬂow non-equilibrium transport situations. The conceptualmodel for the granular phase comprises 2DV mass and momentum and energyequations and constitutive equations, all derived within the dense limit of theChapman-Enskog kinetic theory. 1D shallow-ﬂow conservation and closure equa-tions are derived for the ﬂuid-granular mixture. Formulas for the average velocityin the transport layers, the vertical net ﬂux of sediment mass and the thickness ofthe transport layer are thus obtained. Numerical solutions for dam-break ﬂowsover cohesionless mobile beds in prismatic and non-prismatic channels are ob-tained and discussed.

M3 - Conference contribution

SP - 3872

EP - 3879

BT - IAHR Congress

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