Objectivity in Turbulence under Change of Reference Frame and Superposed Rigid Body Motion

Dafalias, YF

dc.contributor.author	Dafalias, YF	en
dc.date.accessioned	2014-03-01T01:36:32Z
dc.date.available	2014-03-01T01:36:32Z
dc.date.issued	2011	en
dc.identifier.issn	0733-9399	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21326
dc.subject	Modeling	en
dc.subject	Objectivity	en
dc.subject	Rotating frames	en
dc.subject	Superposed rigid-body motion	en
dc.subject	Theory	en
dc.subject	Turbulence	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Instantaneous motion	en
dc.subject.other	Material frame indifference	en
dc.subject.other	Mean motion	en
dc.subject.other	Non-inertial frame	en
dc.subject.other	Objectivity	en
dc.subject.other	Reference frame	en
dc.subject.other	Reynolds stress	en
dc.subject.other	Rigid body	en
dc.subject.other	Rigid-body motion	en
dc.subject.other	Rotating frame	en
dc.subject.other	Theory	en
dc.subject.other	Continuum mechanics	en
dc.subject.other	Elasticity	en
dc.subject.other	Reynolds number	en
dc.subject.other	Rotation	en
dc.subject.other	Strain rate	en
dc.subject.other	Turbulence	en
dc.subject.other	continuum mechanics	en
dc.subject.other	correlation	en
dc.subject.other	numerical model	en
dc.subject.other	pressure	en
dc.subject.other	Reynolds number	en
dc.subject.other	strain rate	en
dc.subject.other	turbulence	en
dc.title	Objectivity in Turbulence under Change of Reference Frame and Superposed Rigid Body Motion	en
heal.type	journalArticle	en
heal.identifier.primary	10.1061/(ASCE)EM.1943-7889.0000267	en
heal.identifier.secondary	http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0000267	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	The validity of objectivity or frame-indifference in turbulence is examined simultaneously from the dual perspective of change of reference frame and superposed rigid-body motion. Similarities and differences arising from the two approaches and their effect on modeling in turbulence are discussed in detail. The use of the absolute spin for noninertial frames and of the net spin for superposed rigid-body motions in closure representations for the pressure-strain-rate correlations tensor are critically discussed. The enigmatic statement made by Speziale that the frame-indifference or objectivity of Reynolds stress does not establish the validity of material frame-indifference in turbulence and the subsequent case-study test of objectivity under superposed rigid-body mean motion within a rotating frame presented to prove it are investigated and fully explained. It is shown analytically that such apparently contrasting conclusions on the validity of objectivity result from the application of the objectivity test to the mean rather than the instantaneous motion, a case not encountered in classical continuum mechanics, which considers only one motion, the instantaneous. DOI: 10.1061/(ASCE)EM.1943-7889.0000267. (C) 2011 American Society of Civil Engineers.	en
heal.publisher	ASCE-AMER SOC CIVIL ENGINEERS	en
heal.journalName	Journal of Engineering Mechanics	en
dc.identifier.doi	10.1061/(ASCE)EM.1943-7889.0000267	en
dc.identifier.isi	ISI:000296509200007	en
dc.identifier.volume	137	en
dc.identifier.issue	10	en
dc.identifier.spage	699	en
dc.identifier.epage	707	en