Dynamic Simulation of Red Blood Cell Rheology in a U-shaped 在一个U型的红细胞流变性的动态仿真

DynamicSimulationofRedBloodCellRheologyina

U-shapedMicrotubeS.Y.Lin,Y.H.Chin,J.J.Hu,andA.J.ChungDepartmentofAeronauticsandAstronauticsNationalChengKungUniversity2021兩岸力學科技論壇2021年4月21-28日Introduction以彈性之彈簧模型模擬紅血球結構變化，紅血球將由球體變形成雙凹圓盤型形狀。並研究在不同形狀微血管之管流中紅血球變化的動態情形。紅血球

RedBloodCell形狀Shape呈中央雙凹圓盤狀直徑(Diameter)：6.0~9.5μm厚度(Thickness)：

中心1.0μm；周圍2.0μm平均外表積(Averagearea)：120平均體積(Volumearea)：

87圖解生理學中野昭一著趙德彰譯SpringNetworkModelofElasticRBCMembrane

K.I.Tsubota,andS.Wada〞,InternationalJournalofMechanicalSciences,2021.Level0

Level1

Level3

Level4

W.X.Huang,C.B.Chang,andH.J.Sung,JournalofComputationalPhysics,2021.UnstructuredTriangularMesh

3D

level0~3sphereofthenodalpositions

intheCartesiancoordinates.

SpringNetworkModelofElasticRBCMembraneLevel=21Nodes=2402Edges=7200Areas=4800

SpringNetworkModelofElasticRBCMembraneLevel=21;Nodes=2402;Edges=7200;Areas=4800

VariousShapeChangesofRedBloodCellsVariousShapeChangesofaSwollenRedBloodt=0.1t=0.3t=0.5t=0.7t=1.0t=0PISOScheme

Step1:Predictor

Step2:a)Firstcorrector

b)SecondcorrectorStaggeredGrids

WPESWSSENWNNEUi,j,kui-1,j,kvi,j,kvi,j-1,kABCDpj,kpi-1,j,kpi+1,j,kTheFlowInducedDeformationofRedBloodCellsintheUTubeUTube:

PISOScheme,StaggerGridMI=80,MJ=80,MK=120Radius=5μmInitialdata:U=0,V=0,W=0,P=1,ρ=1RedBloodCell:Level=9,Nodes=386,Edges=1152,Areas=768

TheFlowInducedDeformationofRedBloodCellsintheUTubeUTube:

PISOScheme,StaggerGridMI=80,MJ=80,MK=120Radius=5μmInitialdata:U=0,V=0,W=0,P=1,ρ=1RedBloodCell:Level=9,Nodes=386,Edges=1152,Areas=768

TheFlowInducedDeformationofRedBloodCellsintheYTubeYTube:

PISOScheme,StaggerGridMI=160,MJ=80,MK=120

Initialdata:U=0,V=0,W=0,