Cessation of Couette and Poiseuille flows of a Bingham plastic and finite stopping times

Chatzimina, M; Georgiou, GC; Argyropaidas, I; Mitsoulis, E; Huilgol, RR

dc.contributor.author	Chatzimina, M	en
dc.contributor.author	Georgiou, GC	en
dc.contributor.author	Argyropaidas, I	en
dc.contributor.author	Mitsoulis, E	en
dc.contributor.author	Huilgol, RR	en
dc.date.accessioned	2014-03-01T01:21:59Z
dc.date.available	2014-03-01T01:21:59Z
dc.date.issued	2005	en
dc.identifier.issn	0377-0257	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16419
dc.subject	Bingham plastic	en
dc.subject	Cessation	en
dc.subject	Couette flow	en
dc.subject	Papanastasiou model	en
dc.subject	Poiseuille flow	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Finite element method	en
dc.subject.other	Mathematical models	en
dc.subject.other	Non Newtonian flow	en
dc.subject.other	Plastic flow	en
dc.subject.other	Polynomials	en
dc.subject.other	Yield stress	en
dc.subject.other	Bingham plastic	en
dc.subject.other	Cessation	en
dc.subject.other	Couette flows	en
dc.subject.other	Papanastasiou model	en
dc.subject.other	Poiseuille flows	en
dc.subject.other	Computational fluid dynamics	en
dc.subject.other	Bingham fluid	en
dc.subject.other	Couette flow	en
dc.subject.other	mathematical modeling	en
dc.subject.other	plastic flow	en
dc.subject.other	Poiseuille flow	en
dc.title	Cessation of Couette and Poiseuille flows of a Bingham plastic and finite stopping times	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jnnfm.2005.07.001	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jnnfm.2005.07.001	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	We solve the one-dimensional cessation Couette and Poiseuille flows of a Bingham plastic using the regularized constitutive equation proposed by Papanastasiou and employing finite elements in space and a fully implicit scheme in time. The numerical calculations confirm previous theoretical findings that the stopping times are finite when the yield stress is nonzero. The decay of the volumetric flow rate, which is exponential in the Newtonian case, is accelerated and eventually becomes linear as the yield stress is increased. In all flows studied, the calculated stopping times are just below the theoretical upper bounds, which indicates that the latter are tight. (c) 2005 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.2005.07.001	en
dc.identifier.isi	ISI:000232670700001	en
dc.identifier.volume	129	en
dc.identifier.issue	3	en
dc.identifier.spage	117	en
dc.identifier.epage	127	en