Motion of a capsule in a cylindrical tube: Effect of membrane pre-stress

Journal of Fluid Mechanics

Volumn 589, Issue , 2007, Pages 157-181

  Lefebvre, Yannick ^a   Barthès Biesel, Dominique ^a  

^a UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTITUTIVE EQUATIONS; DROPS; FLOW RATE; MATHEMATICAL MODELS; PRESSURE DROP; STEADY FLOW; STRESS CONCENTRATION;

CO-AXIAL CYLINDRICAL TUBE; ISOTROPIC PRE-STRESS;

FLUID MECHANICS;

CONSTITUTIVE EQUATIONS; DROPS; FLOW RATE; FLUID MECHANICS; MATHEMATICAL MODELS; PRESSURE DROP; STEADY FLOW; STRESS CONCENTRATION;

CONSTITUTIVE EQUATION; CYLINDER; DROPLET; ELASTICITY; EXPERIMENTAL STUDY; FLOW MODELING; NUMERICAL MODEL; PRESSURE DROP; STEADY FLOW; STRESS;

EID: 36749023560     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007007586     Document Type: Article

References (25)

1. BARTHÈS-BIESEL, D. 2003 Modelling and Simulation of Capsules and Biological Cells, pp. 1-31. Chapman & Hall/CRC.
2. BARTHÈS-BIESEL, D., DIAZ, A. & DHENIN, E. 2002 Effect of constitutive laws for two dimensional membranes on flow-induced capsule deformation. J. Fluid Mech. 460, 211-222.
3. CARIN, M., BARTHÈS-BIESEL, D., EDWARDS-LEVY, F., POSTEL, C. & ANDREI, C. D. 2003 Compression of biocompatible liquid filled hsa-alginate capsules: Determination of the membrane mechanical properties. Biotech. Bioengng 82, 207.
4. DIAZ, A. & BARTHÈS-BIESEL, D. 2002 Entrance of a bioartificial capsule in a pore. Comput. Model. Engng Sci. 3 (3), 321-337.
5. DIAZ, A., PELEKASIS, N. A. & BARTHÈS-BIESEL, D. 2000 Transient response of a capsule subjected to varying flow conditions: Effect of internal fluid viscosity and membrane elasticity. Phys. Fluids 12, 948-957.
6. EGGLETON, C. D. & POPEL, A. S. 1998 Large deformation of red blood cell ghosts in a simple shear flow. Phys. Fluids 10, 1834-1845.
7. EVANS, E. A. & SKALAK, R. 1980 Mechanics and Thermodynamics of Biomembranes. CRC.
8. KRAUS, M., WINTZ, W., SEIFERT, U. & LIPOWSKY, R. 1996 Fluid vesicle in shear flow. Phys. Rev. Lett. 77, 3685-3688.
9. KÜHTREIBER, W. M., LANZA, R. P. & CHICK, W. L. 1998 Cell Encapsulation Technology and Therapeutics. Birkhäuser.
10. KWAK, S. & POZRIKIDIS, C. 1998 Adaptive triangulation of evolving, closed or open surfaces by the advancing-front method. J. Comput. Phys. 145, 61-88.
11. LAC, E. & BARTHÈS-BIESEL, D. 2005 Deformation of a capsule in simple shear flow: Effect of membrane prestress. Phys. Fluids 17, 0721051-0721058.
12. LAC, E., BARTHÈS-BIESEL, D., PELEKASIS, N. A. & TSAMOPOULOS, J. 2004 Spherical capsules in three-dimensional unbounded stokes flow: effect of the membrane constitutive law and onset of buckling. J. Fluid Mech. 516, 303-334.
13. LI, X. Z., BARTHÈS-BIESEL, D. & HELMY, A. 1988 Large deformations and burst of a capsule freely suspended in an elongational flow. J. Fluid Mech. 187, 179-196.
14. POZRIKIDIS, C. 1992 Boundary Integral and Singularity Methods for Linearized Viscous Flow. Cambridge University Press.
15. POZRIKIDIS, C. 2003a Deformed shapes of axisymmetric capsules enclosed by elastic membranes. J. Engng Maths 45, 169-182.
16. POZRIKIDIS, C. 2003b Modeling and Simulation of Capsules and Biological Cells, pp. 35-102. Chapman & Hall/CRC.
17. POZRIKIDIS, C. 2005 Axisymmetric motion of a file of red blood cells through capillaries. Phys. Fluids 17, 031503/1-031503/14.
18. QUÉGUINER, C. & BARTHÈS-BIESEL, D. 1997 Axisymmetric motion of capsules through cylindrical channels. J. Fluid Mech. 348 349-376.
19. RACHIK, M., BARTHÈS-BIESEL, D., CARIN, M. & EDWARDS-LEVY, F. 2006 Identification of a bioartificial microcapsule wall material parameter with an inverse method and the compression test. J. Colloid Interface Sci. 301, 217-226.
20. RAMANUJAN, S. & POZRIKIDIS, C. 1998 Deformation of liquid capsules enclosed by elastic membranes in simple shear flow: Large deformations and the effect of capsule viscosity. J. Fluid Mech. 361, 117-143.
21. RISSO, F. & CARIN, M. 2004 Compression of a capsule: Mechanical laws of membranes with negligible bending stiffness. Phys. Rev. E 69, 061601-061608.
22. RISSO, F., COLLÉ-PAILLOT, F. & ZAGZOULE, M. 2006 Experimental investigation of a bioartificial capsule flowing in a narrow tube. J. Fluid Mech. 547, 149-173.
23. SECOMB, T. W. 1995 Mechanics of blood flow in the microcirculation. Symp Soc Expl Biol. 49, 305-321.
24. SHERWOOD, J. D., RISSO, F., COLLÉ-PAILLOT, F., EDWARDS-LÉVY, F. & LÉVY, M. C. 2003 Transport rates through a capsule membrane to attain Donnan equilibrium. J. Colloid Interface Sci. 263, 202-212.
25. SKALAK, R., TOZEREN, A., ZARDA, R. P. & CHIEN, S. 1973 Strain energy function of red blood cell membranes. Biophys. J. 13, 245-264.