Numerical simulations of cessation flows of a Bingham plastic with the augmented Lagrangian method

Muravleva, L; Muravleva, E; Georgiou, GC; Mitsoulis, E

dc.contributor.author	Muravleva, L	en
dc.contributor.author	Muravleva, E	en
dc.contributor.author	Georgiou, GC	en
dc.contributor.author	Mitsoulis, E	en
dc.date.accessioned	2014-03-01T01:33:57Z
dc.date.available	2014-03-01T01:33:57Z
dc.date.issued	2010	en
dc.identifier.issn	0377-0257	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20634
dc.subject	Augmented Lagrangian method (ALM)	en
dc.subject	Bingham plastic	en
dc.subject	Cessation flows	en
dc.subject	Finite stopping times	en
dc.subject	Iterative Uzawa algorithm	en
dc.subject	Poiseuille flows	en
dc.subject	Variational inequalities	en
dc.subject.classification	Mechanics	en
dc.subject.other	Augmented Lagrangian methods	en
dc.subject.other	Bingham plastic	en
dc.subject.other	Poiseuille flow	en
dc.subject.other	Uzawa algorithms	en
dc.subject.other	Variational inequalities	en
dc.subject.other	Computer simulation	en
dc.subject.other	Lagrange multipliers	en
dc.subject.other	Plastics	en
dc.subject.other	Variational techniques	en
dc.subject.other	Iterative methods	en
dc.title	Numerical simulations of cessation flows of a Bingham plastic with the augmented Lagrangian method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jnnfm.2010.02.002	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jnnfm.2010.02.002	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	The augmented Lagrangian/Uzawa method has been used to study benchmark one-dimensional cessation flow problems of a Bingham fluid, such as the plane Couette flow, and the plane, round, and annular Poiseuille flows. The calculated stopping times agree well with available theoretical upper bounds for the whole range of Bingham numbers and with previous numerical results. The applied method allows for easy determination of the yielded and unyielded regions. The evolution of the rigid zones in these unsteady flows is presented. It is demonstrated that the appearance of an unyielded zone near the wall occurs for any non-zero Bingham number not only in the case of a round tube but also in the case of an annular tube of small radii ratio. The advantages of using the present method instead of regularizing the constitutive equation are also discussed. (c) 2010 Elsevier B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Journal of Non-Newtonian Fluid Mechanics	en
dc.identifier.doi	10.1016/j.jnnfm.2010.02.002	en
dc.identifier.isi	ISI:000277539900010	en
dc.identifier.volume	165	en
dc.identifier.issue	9-10	en
dc.identifier.spage	544	en
dc.identifier.epage	550	en