A mathematical model for the density-augmented spreading of a particle-laden discharge in a turbulent shallow-water flow
type: Item
instance of: scholarly article
title: A mathematical model for the density-augmented spreading of a particle-laden discharge in a turbulent shallow-water flow
zbMATH Open document ID: 0847.76090
DOI: 10.1007/BF00044119
author: Yanyan Li
published in: Journal of Engineering Mathematics
publication date: 1996-02-08T00:00:00Z
review text: Using an eddy-viscosity turbulence model and assuming that the depth-to-width ratio and the friction-to-bulk velocity ratio are both small, the author derives a two-dimensional horizontal dispersion equation for dilute particles in a shallow-water flow. During the scalings, no important terms describing the nonlinear regime are neglected. The nonlinear effects are shown to be significant only when the particle volume fraction is greater than ten parts per million.
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76F10
zbMATH DE Number: 831935
zbMATH Keywords: Burgers nonlinearity
zbMATH Keywords: scaling
zbMATH Keywords: eddy-viscosity turbulence model
zbMATH Keywords: two-dimensional horizontal dispersion equation
zbMATH Keywords: nonlinear effects
zbMATH Keywords: particle volume fraction
reviewed by: Dan Polisevski
MaRDI profile type: Publication
cites work: The dispersion of marked fluid in turbulent shear flow
cites work: Q5833931
cites work: Longitudinal dispersion of a buoyant contaminant in a shallow channel
cites work: Buoyancy effects upon lateral dispersion in open-channel flow
cites work: Longitudinal Dispersion and Turbulent Mixing in Open-Channel Flow
cites work: The partial differential equation ut + uux = μxx
cites work: On a quasi-linear parabolic equation occurring in aerodynamics
cites work: Mean velocity and longitudinal dispersion of heavy particles in turbulent open-channel flow
cites work: Vertical drift and reaction effects upon contaminant dispersion in parallel shear flows
full work available at URL: https://doi.org/10.1007/bf00044119
OpenAlex ID: W1986197660
description: scientific article; zbMATH DE number 831935