Cell-free marginal layer model: Difference between revisions

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Revision as of 08:13, 4 May 2012

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==Mathematical modeling==

===Governing equations===

Consider [[steady flow]] of [[blood]] through a [[capillary]] of [[radius]] <math>R</math>. The [[capillary]] cross section can be divided into a [[core]] region and cell-free [[Blood plasma|plasma]] region near the wall. The governing equations for both regions can be given by the following equations<ref>{{cite book|last=Krishnan B. Chandran|first=Alit P. Yoganathan , Ajit P. Yoganathan , Stanley E. Rittgers|title=Biofluid mechanics : the human circulation|year=2007|publisher=CRC/Taylor & Francis|___location=Boca Raton|isbn=9780849373282978-0-8493-7328-2|url=http://www.amazon.com/Biofluid-Mechanics-Circulation-Krishnan-Chandran/dp/084937328X}}</ref> :

:<math> \frac{ -\Delta P}{ L }=\frac{1}{r}\frac{d}{dr}(\mu_c r \frac{du_c}{dr});</math> <math> 0 \le r\ \le R-\delta\,</math>