A mathematical model for pulsatile flow of Herschel-Bulkley fluid through stenosed arteries

dc.contributor.author	Siddiqui, S. U.	en
dc.contributor.author	Verma, N. K.	en
dc.contributor.author	Gupta, R. S.	en
dc.date.accessioned	2015-02-01T17:46:42Z
dc.date.available	2015-02-01T17:46:42Z
dc.date.issued	2015-02-01
dc.identifier.uri	http://hdl.handle.net/11400/5343
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	http://e-jst.teiath.gr/	en
dc.subject	Longitudinal impedance
dc.subject	Διαμήκης αντίσταση
dc.subject	Pulsatile blood flow
dc.subject	Stenosed artery
dc.subject	Herschel–Bulkley fluid
dc.subject	Yield stress
dc.subject	Wall shear stress
dc.subject	Παλμική ροή αίματος
dc.subject	Στενωμένη αρτηρία
dc.subject	Απόδοση στρες
dc.subject	Τοιχείο διατμητικών τάσεων
dc.title	A mathematical model for pulsatile flow of Herschel-Bulkley fluid through stenosed arteries	en
heal.type	journalArticle
heal.classification	Science
heal.classification	Mathematics
heal.classification	Medicine
heal.classification	Επιστήμες
heal.classification	Μαθηματικά
heal.classification	Ιατρική
heal.classificationURI	http://zbw.eu/stw/descriptor/15685-2
heal.classificationURI	http://zbw.eu/stw/thsys/70269
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh00006614
heal.classificationURI	N/A-Επιστήμες
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	N/A-Ιατρική
heal.language	en
heal.access	free
heal.publicationDate	2010
heal.bibliographicCitation	Siddiqui, S.U., Verma, N.K. and Gupta, R.S. (2010). A mathematical model for pulsatile flow of Herschel-Bulkley fluid through stenosed arteries. "e-Journal of Science & Technology". [Online] 5(5): 49-66. Available from: http://e-jst.teiath.gr/	en
heal.abstract	Presented herein is the study of pulsatile flow of blood through stenosed artery by modeling blood as Herschel–Bulkley fluid. The Herschel–Bulkley fluid has two parameters, the yield stress θ and the power index n. Perturbation method is used to solve the resulting quasi-steady nonlinear coupled implicit system of differential equations. The effects of pulsatility and non-Newtonian nature of blood on velocity, flow rate, wall shear stress and longitudinal impedance of the artery are discussed. The width of the plug core region increases with increasing value of yield stress at any time. The velocity and flow rate decrease, whereas wall shear stress and longitudinal impedance increase for increasing value of yield stress with other parameters held fixed. On the other hand, the velocity, flow rate and wall shear stress decrease but resistance to flow increases as the radius of artery increases with other parameters fixed. The results for power law fluid, Newtonian fluid and Bingham fluid are obtained as special cases from this model.	en
heal.publisher	Νερατζής, Ηλίας	el
heal.publisher	Σιανούδης, Ιωάννης	el
heal.journalName	e-Journal of Science & Technology	en
heal.journalName	e-Περιοδικό Επιστήμης & Τεχνολογίας	el
heal.journalType	peer-reviewed
heal.fullTextAvailability	true