Exact solution of the navier-stokes equations for the fully developed, pulsating flow in a rectangular duct with a constant cross-sectional velocity

Tsangaris, S; Vlachakis, NW

dc.contributor.author	Tsangaris, S	en
dc.contributor.author	Vlachakis, NW	en
dc.date.accessioned	2014-03-01T01:18:58Z
dc.date.available	2014-03-01T01:18:58Z
dc.date.issued	2003	en
dc.identifier.issn	0098-2202	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15290
dc.subject	Cross Section	en
dc.subject	Exact Solution	en
dc.subject	navier-stokes equation	en
dc.subject.classification	Engineering, Mechanical	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Incompressible flow	en
dc.subject.other	Navier Stokes equations	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Pressure effects	en
dc.subject.other	Pulsatile flow	en
dc.subject.other	Reynolds number	en
dc.subject.other	Pressure gradient	en
dc.subject.other	Laminar flow	en
dc.title	Exact solution of the navier-stokes equations for the fully developed, pulsating flow in a rectangular duct with a constant cross-sectional velocity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1115/1.1537250	en
heal.identifier.secondary	http://dx.doi.org/10.1115/1.1537250	en
heal.language	English	en
heal.publicationDate	2003	en
heal.abstract	The Navier-Stokes equations have been solved in order to obtain an analytical solution of the fully developed laminar flow in a duct having a rectangular cross section with two opposite equally porous walls. We obtained solutions both for the case of steady flow as well as for the case of oscillating pressure gradient flow. The pulsating flow is obtained by the superposition of the steady and oscillating pressure gradient solutions. The solution has applications for blood flow in fiber membranes used for the artificial kidney.	en
heal.publisher	ASME-AMER SOC MECHANICAL ENG	en
heal.journalName	Journal of Fluids Engineering, Transactions of the ASME	en
dc.identifier.doi	10.1115/1.1537250	en
dc.identifier.isi	ISI:000182200400019	en
dc.identifier.volume	125	en
dc.identifier.issue	2	en
dc.identifier.spage	382	en
dc.identifier.epage	384	en