A non-Darcy model for recirculating flow through a fluid-sediment interface in a cylindrical container
type: Item
instance of: scholarly article
title: A non-Darcy model for recirculating flow through a fluid-sediment interface in a cylindrical container
zbMATH Open document ID: 0917.76092
DOI: 10.1007/BF01178402
author: A. Khalili
author: M. Huettel
author: A. J. Basu
published in: Acta Mechanica
publication date: 1999-08-11T00:00:00Z
review text: The authors investigate numerically an axisymmetric laminar flow generated by a rotating disk inside a cylinder, partially filled with fluid-saturated porous medium and partially with fluid. The goal is to establish the flow pattern in the cylinder, with particular attention on the influence of the convective transfer in the porous region. The study is based on the Navier-Stokes equations in the fluid region and on the Darcy-Brinkman-Lapwood equation in the fluid-saturated porous region. The continuity equation is assumed to hold in both regions. The authors use a conservative finite difference scheme to approximate the spatial derivatives, while Adam-Bashforth explicit finite difference formula is applied to the time derivatives. Results from the numerical experiments are compared to existing numerical solutions and experimental pressure measurements in similar geometries. It is shown that the advective porewater transport in sediments is predictable in the framework of this study.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 1143212
zbMATH Keywords: axisymmetric laminar flow
zbMATH Keywords: rotating disk
zbMATH Keywords: convective transfer
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: Darcy-Brinkman-Lapwood equation
zbMATH Keywords: conservative finite difference scheme
zbMATH Keywords: Adam-Bashforth explicit finite difference formula
zbMATH Keywords: advective porewater transport in sediments
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01178402
OpenAlex ID: W1972941194
description: scientific article; zbMATH DE number 1143212