Pressure-driven flows of Bingham plastics over a square cavity

Mitsoulis, E; Marangoudakis, S; Spyratos, M; Zisis, Th; Malamataris, NA

dc.contributor.author	Mitsoulis, E	en
dc.contributor.author	Marangoudakis, S	en
dc.contributor.author	Spyratos, M	en
dc.contributor.author	Zisis, Th	en
dc.contributor.author	Malamataris, NA	en
dc.date.accessioned	2014-03-01T01:24:53Z
dc.date.available	2014-03-01T01:24:53Z
dc.date.issued	2006	en
dc.identifier.issn	0098-2202	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17490
dc.subject	Bingham model	en
dc.subject	Cavity flow	en
dc.subject	Inertia flow	en
dc.subject	Pressure-hole error	en
dc.subject	Recirculation	en
dc.subject	Viscoplasticity	en
dc.subject	Yield stress	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Cavitation	en
dc.subject.other	Newtonian flow	en
dc.subject.other	Pressure measurement	en
dc.subject.other	Pressure transducers	en
dc.subject.other	Reynolds number	en
dc.subject.other	Viscoplasticity	en
dc.subject.other	Yield stress	en
dc.subject.other	Bingham models	en
dc.subject.other	Cavity flow	en
dc.subject.other	Inertia flow	en
dc.subject.other	Pressure hole errors	en
dc.subject.other	Recirculation	en
dc.subject.other	Vortex flow	en
dc.title	Pressure-driven flows of Bingham plastics over a square cavity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1115/1.2236130	en
heal.identifier.secondary	http://dx.doi.org/10.1115/1.2236130	en
heal.language	English	en
heal.publicationDate	2006	en
heal.abstract	Pressure-driven flows over a square cavity are studied numerically for Bingham plastics exhibiting a yield stress. The problem is encountered whenever pressure measurements are made by a drilled-hole based pressure transducer. The Bingham constitutive equation is used with an appropriate modification proposed by Papanastasiou, which applies everywhere in the flow field in both yielded and practically unyielded regions. Newtonian results are obtained for a wide range of Reynolds numbers (0<Re≤1000) for the cavity vortex position and intensity, and the excess pressure drop (entrance correction) in the system. To reduce the length of the computational domain for highly convective flows, an open boundary condition has been implemented at the outflow. For viscoplastic fluids the emphasis is on determining the extent and shape of yielded/unyielded regions along with the cavity vortex shape, size, and intensity for a wide range of Bingham numbers (≤Bn<∞). The entrance correction is found to be an increasing sigmoidal function of the Bn number, reaching asymptotically the value of zero. It is shown that for viscoplastic fluids not exhibiting normal stresses in shear flow (lack of viscoelasticity), the hole pressure is zero opposite the center of the hole. Thus, any nonzero pressure hole measured by this apparatus would signify the presence of a normal-stress difference in the fluid. Copyright © 2006 by ASME.	en
heal.publisher	ASME-AMER SOC MECHANICAL ENG	en
heal.journalName	Journal of Fluids Engineering, Transactions of the ASME	en
dc.identifier.doi	10.1115/1.2236130	en
dc.identifier.isi	ISI:000240807900012	en
dc.identifier.volume	128	en
dc.identifier.issue	5	en
dc.identifier.spage	993	en
dc.identifier.epage	1003	en