Dynamic Simulation of Red Blood Cell Rheology in

Dynamic Simulation of Red Blood Cell Rheology in a U-shaped Microtube S. Y. Lin, Y. H. Chin, J. J. Hu, and A. J. Chung Department of Aeronautics and Astronautics National Cheng Kung University 2012 兩岸力學科技論壇 2012 年4 月21 -28 日

Spring Network Model of Elastic RBC Membrane l l K. I. Tsubota, and S. Wada ”, International Journal of Mechanical Sciences, 2010.

Unstructured Triangular Mesh 3 D level 0~3 sphere of the nodal positions in the Cartesian coordinates. l Level 0 l Level 3 l Level 1 l Level 4 W. X. Huang, C. B. Chang, and H. J. Sung, Journal of Computational Physics, 2011.

Spring Network Model of Elastic RBC Membrane l l Level =21 Nodes =2402 Edges =7200 Areas =4800

Spring Network Model of Elastic RBC Membrane

Various Shape Changes of Red Blood Cells l Level =21; Nodes =2402; Edges =7200; Areas =4800

Various Shape Changes of a Swollen Red Blood l l t=0. 1 l t=0. 3 l t=0. 5 l t=0. 7 l t=1. 0

PISO Scheme l l Step 1: Predictor l Step 2: a) First corrector l b) Second corrector

NW Staggered Grids N vi, j, k D W ui-1, j, k pi-1, j, k l C Ui, j, k P E pj, k A SW NE vi, j-1, k S pi+1, j, k B SE

The Flow Induced Deformation of Red Blood Cells in the U Tube: l l PISO Scheme, Stagger Grid MI=80, MJ=80, MK=120 Radius = 5μm Initial data: U=0, V=0, W=0, P=1, ρ=1 Red Blood Cell: l l Level=9, Nodes=386, Edges=1152, Areas=768

The Flow Induced Deformation of Red Blood Cells in the U Tube: l l PISO Scheme, Stagger Grid MI=80, MJ=80, MK=120 Radius = 5μm Initial data: U=0, V=0, W=0, P=1, ρ=1 Red Blood Cell: l l Level=9, Nodes=386, Edges=1152, Areas=768

The Flow Induced Deformation of Red Blood Cells in the Y Tube: l l PISO Scheme, Stagger Grid MI=160, MJ=80, MK=120 l l Initial data: U=0, V=0, W=0, P=1, ρ=1 Red Blood Cell: l l Level=9, Nodes=386, Edges=1152, Areas=768

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