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International Journal for Multiscale Computational Engineering
Impact-faktor: 1.016 5-jähriger Impact-Faktor: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Druckformat: 1543-1649
ISSN Online: 1940-4352

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

ABSTRAKT

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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