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Computational fluid flow solution over endothelial cells inside the capillary vascular system
Author(s) -
Arslan Nurullah,
Erdogan Abdullah Said,
Ashyralyev Allaberen
Publication year - 2007
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2227
Subject(s) - glycocalyx , discretization , mechanics , capillary action , partial differential equation , flow (mathematics) , drag , mathematics , blood flow , chemistry , mathematical analysis , physics , thermodynamics , medicine , biochemistry
Computational blood flow analysis through glycocalyx located over the endothelial cells in human capillary vascular system is performed. Stable numerical schemes are developed for obtaining approximate solutions to the mixed problem to the partial differential equation with variable space operator to model the blood flow. Numerical techniques are developed by applying a procedure of the solution to the linear difference equation with matrix coefficients. The flow equations inside the core flow region and porous region are established. Discretization is done and the flow velocities in both regions are calculated. The effect of the flow over the glycocalyx is investigated. The wall shear stresses and the drag force over the glycocalyx are calculated. Copyright © 2007 John Wiley & Sons, Ltd.