Pair collisions of fluid-filled elastic capsules in shear flow: Effects of membrane properties and polymer additives

Physics of Fluids

Volumn 22, Issue 12, 2010, Pages

  Pranay, Pratik ^a   Anekal, Samartha G ^a   Hernandez Ortiz, Juan P ^b   Graham, Michael D ^a  

^a Wisconsin Electric Machines and Power Electronics Consortium   (United States)

^b UNIVERSIDAD NACIONAL DE COLOMBIA   (Colombia)

Author keywords

[No Author keywords available]

Indexed keywords

BLOOD; CELLS; CYTOLOGY; DRAG REDUCTION; ELASTICITY; ETHYLENE; FILLED POLYMERS; MEMBRANES; MOLECULES; NEWTONIAN LIQUIDS; POLYETHYLENE OXIDES; STRAIN ENERGY; TURBULENT FLOW;

ELASTIC PROPERTIES; GRADIENT DIRECTION; HIGH MOLECULAR WEIGHT; IMMERSED BOUNDARY METHODS; LOW CONCENTRATIONS; MEMBRANE PROPERTIES; POLYMER CONCENTRATIONS; STRAIN ENERGY FUNCTIONS;

SHEAR FLOW;

EID: 79251553787     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3524531     Document Type: Article

References (65)

1. Alam H. Rhee P. New developments in fluid resuscitation. Surg. Clin. North Am. 2007, 87:55. SCNAA7, 0039-6109, 10.1016/j.suc.2006.09.015.
2. Piagnerelli M. Boudjeltia K. Vanhaeverbeek M. Vincent J. Red blood cell rheology in sepsis. Intensive Care Med. 2003, 29:1052. ICMED9, 0342-4642, 10.1007/s00134-003-1783-2.
3. Ehrly A. Therapeutic Hemorheology 1991, (Springer, Berlin, ).
4. Greene H. Nokes R. Thomas L. Drag reduction in pulsed flow of blood. Med. Res. Eng. 1970, 9:19. MDREBF, 0025-7508.
5. Mostardi R. Greene H. Nokes R. Thomas L. Lue T. The effect of drag reducing agents on stenotic flow disturbances in dogs. Biorheology 1976, 13:137. BRHLAU, 0006-355X.
6. Mostardi R. Thomas L. Greene H. VanEssen F. Nokes R. Suppression of atherosclerosis in rabbits using drag reducing polymers. Biorheology 1978, 15:1. BRHLAU, 0006-355X.
7. Greene H. Mostardi R. Nokes R. Effects of drag reducing polymers on initiation of atherosclerosis. Polym. Eng. Sci. 1980, 20:499. PYESAZ, 0032-3888, 10.1002/pen.760200710.
8. Driessen G. Scheidt-Bleichert H. Sobota A. Inhoffen W. Heidtmann H. Haest C. Kamp D. Schmid-Schönbein H. Capillary resistance to flow of hardened (diamide treated) red blood cells (RBC). Pfluegers Arch. Eur. J. Physiol. 1982, 392:261. PFLABK, 0031-6768, 10.1007/BF00584307.
9. Coleman P. Ottenbreit B. Polimeni P. Effects of a drag-reducing polyelectrolyte of microscopic linear dimension (Separan AP-273) on rat hemodynamics. Circ. Res. 1987, 61:787. CIRUAL, 0009-7330.
10. Faruqui F. Otten M. Polimeni P. Protection against atherogenesis with the polymer drag-reducing agent Separan AP-30. Circulation 1987, 75:627. CIRCAZ, 0009-7322.
11. Smyth D. Blandford D. Jones D. Polimeni P. Separan AP-273 and renal function: A novel natriuretic substance. Can. J. Physiol. Pharmacol. 1987, 65:2001. CJPPA3, 0008-4212.
12. Polimeni P. Bose D. Bose R. Otten M. Ottenbreit B. Drag-reducing polymers: A novel category of drugs potentially useful in cardiovascular diseases. J. Appl. Cardiol. 1988, 3:57. 0883-2935.
13. Hutchison K.J. Campbell J.D. Karpinski E. Decreased poststenotic flow disturbance during drag reduction by polyacrylamide infusion without increased aortic blood-flow. Microvasc. Res. 1989, 38:102. MIVRA6, 0026-2862, 10.1016/0026-2862(89)90019-8.
14. Polimeni P.I. Ottenbreit B.T. Hemodynamic-effects of a poly(ethylene oxide) drag-reducing polymer, polyox wsr n-60k, in the open-chest rat. J. Cardiovasc. Pharmacol. 1989, 14:374. JCPCDT, 0160-2446, 10.1097/00005344-198909000-00004.
15. Symth D.D. Polimeni P.I. Drag-reducing polymers-A novel class of diuretic and natriuretic compounds. Cardiovasc. Drugs Ther. 1990, 4:297. CDTHET, 0920-3206, 10.1007/BF01857648.
16. Unthank J.L. Lalka S.G. Nixon J.C. Sawchuk A.P. Improvement of flow through arterial stenoses by drag reducing agents. J. Surg. Res. 1992, 53:625. JSGRA2, 0022-4804, 10.1016/0022-4804(92)90265-2.
17. Sawchuk A.P. Unthank J.L. Dalsing M.C. Drag reducing polymers may decrease atherosclerosis by increasing shear in areas normally exposed to low shear stress. J. Vasc. Surg. 1999, 30:761. ZZZZZZ, 0741-5214, 10.1016/S0741-5214(99)70116-3.
18. Kameneva M.V. Repko B.M. Krasik E.F. Perricelli B.C. Borovetz H.S. Polyethylene glycol additives reduce hemolysis in red blood cell suspensions exposed to mechanical stress. ASAIO J. 2003, 49:537. ASJODE, 0162-1432, 10.1097/01.MAT.0000084176.30221.CF.
19. Kameneva M.V. Wu Z.J. J. Uraysh A. Repko B. Litwak K.N. Billiar T.R. Fink M.P. Simmons R.L. Griffith B.P. Borovetz H.S. Blood soluble drag-reducing polymers prevent lethality from hemorrhagic shock in acute animal experiments. Biorheology 2004, 41:53. BRHLAU, 0006-355X.
20. Macias C.A. Kameneva M.V. Tenhunen J.J. Puyana J.C. Fink M.P. Survival in a rat model of lethal hemorrhagic shock is prolonged following resuscitation with a small volume of a solution containing a drag-reducing polymer derived from aloe vera. Shock 2004, 22:151. ZZZZZZ, 1073-2322, 10.1097/01.shk.0000131489.83194.1a.
21. Kaul S. Jayaweera A.R. Determinants of microvascular flow. Eur. Heart J. 2006, 27:2272. EHJODF, 0195-668X, 10.1093/eurheartj/ehl234.
22. Antonova N. Lazarov Z. Hemorheological and hemodynamic effects of high molecular weight polyethylene oxide solutions. Clin. Hemorheol Microcirc 2004, 30:381. ZZZZZZ, 1386-0291.
23. Pacella J.J. Csikari M.M. Kameneva M.V. Fischer D. Harbison B.S. Villanueva F.S. Drag-reducing polymers enhance myocardial perfusion during coronary stenosis. Circulation 2002, 106:1887. CIRCAZ, 0009-7322.
24. Pacella J.J. Kameneva M.V. Csikari M. Lu E.X. Villanueva F.S. A novel hydrodynamic approach to the treatment of coronary artery disease. Eur. Heart J. 2006, 27:2362. EHJODF, 0195-668X, 10.1093/eurheartj/ehl165.
25. Toms B. Proceedings of the International Congress on Rheology 1949, II. (North-Holland, Amsterdam, ), Vol.
26. Virk P. Drag reduction fundamentals. AIChE J. 1975, 21:625. AICEAC, 0001-1541, 10.1002/aic.690210402.
27. Larson R. The Structure and Rheology of Complex Fluids 1999, (Oxford University Press, New York, ).
28. Fung Y. Biodynamics: Circulation 1983, (Springer-Verlag, New York, ).
29. Ramanujan S. Pozrikidis C. Deformation of liquid capsules enclosed by elastic membranes in simple shear flow: Large deformations and the effect of fluid viscosities. J. Fluid Mech. 1998, 361:117. JFLSA7, 0022-1120, 10.1017/S0022112098008714.
30. Pozrikidis C. Finite deformation of liquid capsules enclosed by elastic membranes in simple shear-flow. J. Fluid Mech. 1995, 297:123. JFLSA7, 0022-1120, 10.1017/S002211209500303X.
31. Pozrikidis C. Effect of membrane bending stiffness on the deformation of capsules in simple shear flow. J. Fluid Mech. 2001, 440:269. JFLSA7, 0022-1120, 10.1017/S0022112001004657.
32. Pozrikidis C. Numerical simulation of the flow-induced deformation of red blood cells. Ann. Biomed. Eng. 2003, 31:1194. ABMECF, 0090-6964, 10.1114/1.1617985.
33. Pozrikidis C. Numerical simulation of blood flow through microvascular capillary networks. Bull. Math. Biol. 2009, 71:1520. BMTBAP, 0092-8240, 10.1007/s11538-009-9412-z.
34. Barthès-Biesel D. Rallison J.M. Time-dependent deformation of a capsule freely suspended in a linear shear flow. J. Fluid Mech. 1981, 113:251. JFLSA7, 0022-1120, 10.1017/S0022112081003480.
35. Barthes-Biesel D. Theoretical modeling of the motion and deformation of capsules in shear flows. Biomater., Artif. Cells, Immobilization Biotechnol. 1993, 21:359. BACBEU, 1055-7172.
36. Barthès-Biesel D. Diaz A. Dhenin E. Effect of constitutive laws for two-dimensional membranes on flow-induced capsule deformation. J. Fluid Mech. 2002, 460:211. JFLSA7, 0022-1120, 10.1017/S0022112002008352.
37. Lac E. Barthes-Biesel D. Pelekasis N.A. Tsamopoulos J. Spherical capsules in three-dimensional unbounded Stokes flows: Effect of the membrane constitutive law and onset of buckling. J. Fluid Mech. 2004, 516:303. JFLSA7, 0022-1120, 10.1017/S002211200400062X.
38. Lac E. Barthes-Biesel D. Deformation of a capsule in simple shear flow: Effect of membrane prestress. Phys. Fluids 2005, 17:072105. PHFLE6, 1070-6631, 10.1063/1.1955127.
39. Lac E. Morel A. Barthes-Biesel D. Hydrodynamic interaction between two identical capsules in simple shear flow. J. Fluid Mech. 2007, 573:149. JFLSA7, 0022-1120, 10.1017/S0022112006003739.
40. Lac E. Barthes-Biesel D. Pairwise interaction of capsules in simple shear flow: Three-dimensional effects. Phys. Fluids 2008, 20:040801. PHFLE6, 1070-6631, 10.1063/1.2911695.
41. Dodson W.R. Dimitrakopoulos P. Spindles, cusps, and bifurcation for capsules in Stokes flow. Phys. Rev. Lett. 2008, 101:208102. PRLTAO, 0031-9007, 10.1103/PhysRevLett.101.208102.
42. Bagchi P. Johnson P.C. Popel A.S. Computational fluid dynamic simulation of aggregation of deformable cells in a shear flow. J. Biomech. Eng. 2005, 127:1070. JBENDY, 0148-0731, 10.1115/1.2112907.
43. Bagchi P. Mesoscale simulation of blood flow in small vessels. Biophys. J. 2007, 92:1858. BIOJAU, 0006-3495, 10.1529/biophysj.106.095042.
44. Doddi S.K. Bagchi P. Effect of inertia on the hydrodynamic interaction between two liquid capsules in simple shear flow. Int. J. Multiphase Flow 2008, 34:375. IJMFBP, 0301-9322, 10.1016/j.ijmultiphaseflow.2007.10.011.
45. Doddi S. Bagchi P. Lateral migration of a capsule in a plane Poiseuille flow in a channel. Int. J. Multiphase Flow 2008, 34:966. IJMFBP, 0301-9322, 10.1016/j.ijmultiphaseflow.2008.03.002.
46. Doddi S.K. Bagchi P. Three-dimensional computational modeling of multiple deformable cells flowing in microvessels. Phys. Rev. E 2009, 79:046318. PLEEE8, 1063-651X, 10.1103/PhysRevE.79.046318.
47. Skalak R. Tozeren A. Zarda R.P. Chien S. Strain energy function of red blood-cell membranes. Biophys. J. 1973, 13:245. BIOJAU, 0006-3495, 10.1016/S0006-3495(73)85983-1.
48. Li X. Sarkar K. Front tracking simulation of deformation and buckling instability of a liquid capsule enclosed by an elastic membrane. J. Comput. Phys. 2008, 227:4998. JCTPAH, 0021-9991, 10.1016/j.jcp.2008.01.034.
49. Walter J. Salsac A. Barthès-Biesel D. Le Tallec P. Coupling of finite element and boundary integral methods for a capsule in a Stokes flow. Int. J. Numer. Methods Eng. 2010, 83:829. IJNMBH, 0029-5981.
50. Charrier J.M. Shrivastava S. Wu R. Free and constrained inflation of elastic membranes in relation to thermoforming-Non-axisymmetric problems. J. Strain Anal. Eng. Des. 1989, 24:55. JSADDZ, 0309-3247, 10.1243/03093247V242055.
51. Peskin C.S. Numerical-analysis of blood-flow in heart. J. Comput. Phys. 1977, 25:220. JCTPAH, 0021-9991, 10.1016/0021-9991(77)90100-0.
52. Unverdi S.O. Tryggvason G. A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 1992, 100:25. JCTPAH, 0021-9991, 10.1016/0021-9991(92)90307-K.
53. Jadhav S. Kit Y.C. Konstantopoulos K. Eggleton C.D. Shear modulation of intercellular contact area between two deformable cells colliding under flow. J. Biomech. 2007, 40:2891. JBMCB5, 0021-9290, 10.1016/j.jbiomech.2007.03.017.
54. Peskin C. The immersed boundary method. Acta Numerica 2002, 11:479. ZZZZZZ, 0962-4929, 10.1017/CBO9780511550140.007.
55. Doi M. Edwards S. The Theory of Polymer Dynamics 1988, and (Oxford University Press, New York, ).
56. Bird R. Curtiss C. Armstrong R. Hassager O. Dynamics of Polymeric Liquids 1987, 2. and (Wiley-Interscience, New York, ), Vol.
57. Hernández-Ortiz J.P. de Pablo J.J. Graham M.D. Fast computation of many-particle hydrodynamic and electrostatic interactions in a confined geometry. Phys. Rev. Lett. 2007, 98:140602. PRLTAO, 0031-9007, 10.1103/PhysRevLett.98.140602.
58. Öttinger H. Stochastic Processes in Polymeric Fluids 1996, (Springer, Berlin, ).
59. Bringley T. Peskin C. Validation of a simple method for representing spheres and slender bodies in an immersed boundary method for Stokes flow on an unbounded domain. J. Comput. Phys. 2008, 227:5397. JCTPAH, 0021-9991, 10.1016/j.jcp.2008.01.048.
60. Hernandez-Ortiz J.P. Ma H.B. de Pablo J.J. Graham M.D. Concentration distributions during flow of confined flowing polymer solutions at finite concentration: Slit and grooved channel. Korea-Aust. Rheol. J. 2008, 20:143. ZZZZZZ, 1226-119X.
61. Sierou A. Brady J. Accelerated Stokesian dynamics simulations. J. Fluid Mech. 2001, 448:115. JFLSA7, 0022-1120, 10.1017/S0022112001005912.
62. Freund J.B. Leukocyte margination in a model microvessel. Phys. Fluids 2007, 19:023301. PHFLE6, 1070-6631, 10.1063/1.2472479.
63. Smart J.R. Leighton D.T. Measurement of the drift of a droplet due to the presence of a plane. Phys. Fluids A 1991, 3:21. PFADEB, 0899-8213, 10.1063/1.857856.
64. Ma H.B. Graham M.D. Theory of shear-induced migration in dilute polymer solutions near solid boundaries. Phys. Fluids 2005, 17:083103. PHFLE6, 1070-6631, 10.1063/1.2011367.
65. Hernandez-Ortiz J.P. Ma H.B. Pablo J.J. Graham M.D. Cross-stream-line migration in confined flowing polymer solutions: Theory and simulation. Phys. Fluids 2006, 18:123101. PHFLE6, 1070-6631, 10.1063/1.2397571.