Sand erosion in axial flow conditions

Vardoulakis, I; Papanastasiou, P; Stavropoulou, M

dc.contributor.author	Vardoulakis, I	en
dc.contributor.author	Papanastasiou, P	en
dc.contributor.author	Stavropoulou, M	en
dc.date.accessioned	2014-03-01T01:17:01Z
dc.date.available	2014-03-01T01:17:01Z
dc.date.issued	2001	en
dc.identifier.issn	0169-3913	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14336
dc.subject	Axial flow	en
dc.subject	Brinkman's law	en
dc.subject	Hydrodynamic dispersion	en
dc.subject	Sand erosion	en
dc.subject	Sand production	en
dc.subject.classification	Engineering, Chemical	en
dc.subject.other	Diffusion	en
dc.subject.other	Erosion	en
dc.subject.other	Heat convection	en
dc.subject.other	Mathematical models	en
dc.subject.other	Sand erosion	en
dc.subject.other	Axial flow	en
dc.subject.other	axial flow	en
dc.subject.other	erosion	en
dc.subject.other	hydrodynamics	en
dc.subject.other	mathematical modeling	en
dc.subject.other	sand	en
dc.subject.other	erosion	en
dc.subject.other	flow modeling	en
dc.subject.other	hydrodynamics	en
dc.subject.other	sand	en
dc.title	Sand erosion in axial flow conditions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1012035031463	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1012035031463	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	A mathematical model of sand erosion in axial flow conditions is presented. The basic mass balance equations and sand erosion constitutive equation were given in Vardoulakis et al. (1996). As opposed to reference Vardoulakis et al. (1996), we consider here the extreme case where convection is null and hydrodynamic dispersion dominates. In addition, Brinkman's extension of Darcy's law is adopted to account for a smooth transition between channel flow and Darcian flow. The set of governing PDE's is presented in dimensionless form and is solved numerically. In concordance with the basic constitutive equation for erosion kinetics, the analysis shows that erosion progresses in time as a 'front' of high transport concentration. This result is justified by the highly non-linear character of the erosion source term which dominates in the diffusion-like governing equation.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	Transport in Porous Media	en
dc.identifier.doi	10.1023/A:1012035031463	en
dc.identifier.isi	ISI:000171676100004	en
dc.identifier.volume	45	en
dc.identifier.issue	2	en
dc.identifier.spage	267	en
dc.identifier.epage	281	en