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International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v3.i1.60
pages 71-84

Micromorphic Fluid in an Elastic Porous Body: Blood Flow in Tissues with Microcirculation

Natalie K. Axtell
Department of Mathematics Purdue University, West Lafayette, IN 47907
Moongyu Park
Department of Mathematics, Purdue University, West Lafayette, IN 47907
John H. Cushman
Purdue University West Lafayette Indiana UNITED STATES

Краткое описание

The circulation of blood in tissues is a multiscale, multiphase porous media problem with a unique characteristic that the fluid phase is a micromorphic continuum, i.e., the fluid phase contains deformable particles that affect its flow. Fluid continuum particles possess three translational degrees of freedom and nine additional degrees for microrotation, microshear, and microstretch. These latter nine degrees of freedom are required to model the behavior of the red blood cells in small capillaries. The tissue phase is assumed to be an elastic porous body. The micromorphic fluid and the porous solid are homogenized to obtain balance and conservation equations. The entropy inequality for the mixture is employed to obtain thermodynamically consistent constitutive equations that are subsequently linearized. The resultant system has 28 equations with a like number of unknowns.


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