Loading...
Thumbnail Image
Publication

Influence of momentum correction factor and friction factor on flow models of debris-flow related to flow surface deformation

Arai, Muneyuki
Research Projects
Organizational Units
Journal Issue
Embargo Expires
Abstract
Intermittent debris-flow surges may be considered as roll wave phenomenon of shallow water flow that naturally develop in the mountain basins. The shape of the water surface with discontinuous depth change is one manifestation of flow wave phenomena. Here we obtained a wave equation representing the wave phenomenon of shallow water flow by using the Laplace equation, the bottom condition, a surface conservation condition, a flow surface fluctuation condition, and the perturbative expansion method. The derived equation is a kind of KdV-Burgers equation in which a nonlinear term includes a momentum correction factor b, a dissipation term includes a friction factor f’ and a third term does not include either dispersion terms. The derived equation offers an explanation of the discontinuity of the water surface in shallow water flow that may be useful for debris flow modeling.
Associated Publications
Rights
Copyright of the original work is retained by the authors.
Embedded videos