International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

For Online Access

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2005, Volume3

Issue 1

135 pages

DOI: 10.1615/IntJMultCompEng.v3.i1

Issue price - $178.00

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
Department of Mathematics, Purdue University, West Lafayette, IN 47907

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.

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

Article price - $35.00

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