Research on the Spherical Capsule Motion in 3D Simple Shear Flows 被引量：1

Research on the Spherical Capsule Motion in 3D Simple Shear Flows

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摘要 Deformation of the spherical capsule in 3D simple shear fow is simulated using the immersed boundary method. The capsule membrane is regarded as an elastic medium satisfying the Neo-Hookean or Skalak elasticity. The motions of the capsule under various capillary numbers are studied. The results show that the deformation of the capsule becomes larger as the capillary number increases;in the same shear fow,the deformation under Skalak law is smaller than that under Neo-Hookean;for small capillary number the Taylor parameter agrees well with the analytical solution,whereas for large capillary number it is less than the analytical solution. Those results are validated by previous works obtained by the boundary integral method and the immersed boundary method. Deformation of the spherical capsule in 3D simple shear flow is simulated using the immersed boundary method. The capsule membrane is regarded as an elastic medium satisfying the Neo-Hookean or Skalak elasticity. The motions of the capsule under various capillary numbers are studied. The results show that the deformation of the capsule becomes larger as the capillary number increases; in the same shear flow, the deformation under Skalak law is smaller than that under Neo-Hookean; for small capillary number the Taylor parameter agrees well with the analytical solution, whereas for large capillary number it is less than the analytical solution. Those results are validated by previous works obtained by the boundary integral method and the immersed boundary method.

作者宫兆新鲁传敬

机构地区 Department of Mechanics State Key Laboratory of Ocean Engineering

出处《Journal of Shanghai Jiaotong university(Science)》 EI 2010年第6期702-706,共5页 上海交通大学学报（英文版）

基金 the National Natural Science Foundation of China (No. 10472070) the Shanghai Leading Academic Discipline Project (No. B206)

关键词 immersed boundary method shear flow capillary number Taylor parameter immersed boundary method, shear flow, capillary number, Taylor parameter

分类号 O368 [理学—流体力学]

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1DIAZ A, PELEKASIS N, BARTHES-BIESEL D. Transient response of a capsule subjected to varying flow conditions: Effect of internal fluid viscosity and membrane elasticity[J].Physics of Fluids, 2000, 12(5): 948-957.
2KWAK S, POZRIKIDIS C. Effect of bending stiffness on the deformation of liquid capsules in uniaxial extensional flow [J]. Physics of Fluids, 2001, 13(5): 1234- 1242.
3ZHOU H, POZRIDIDIS C. Deformation of liquid capsules with incompressible interface in simple shear flow [J]. Journal of Fluid Mechanics, 1995, 283: 175-200.
4POZRIKIDIS C. The axisymmetric deformation of a red blood cell in uniaxial straining flow [J]. Journal of Fluid Mechanics, 1990, 216: 231-254.
5DIAZ A, PELEKASIS N, BARTHES-BIESEL D. Effect of membrane viscosity on the dynamic response of an axisymmetric capsule [J]. Physics of Fluids, 2001, 13(12): 3835-3838.
6POZRIKIDIS C. Modeling and simulation of capsules and biological cells [M]. London, UK: Chapman & Hall/CRC Press, 2003.
7POZRIKIDIS C. Boundary integral and singularity method for linearized viscous flow [M]. New York : Cambridge University Press, 1992.
8POZRIKIDIS C. Finite deformation of liquid capsules enclosed by elastic membranes in simple shear flow [J]. Journal of Fluid Mechanics, 1995, 297: 123-152.
9DIAZ A, BARTttES-BIESEL D. Entrance of a bioartificial capsule in a pore [J]. Computer Modeling in Engineering and Sciences, 2002, 3(3): 321-338.
10EGGLETON C, POPE A. Large deformation of red blood cell ghosts in a simple shear flow [J]. Physics of Fluids, 1998, 10(8): 1834-1845.