A porous media model for blood flow within reticulated foam

Chemical Engineering Science

Volumn 99, Issue , 2013, Pages 59-66

  Ortega, J M ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

Biomedical engineering; Blood; Computational fluid dynamics; Foam; Non Newtonian fluid; Porous media

Indexed keywords

BIOMEDICAL ENGINEERING; BLOOD; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FOAMS; HEMODYNAMICS; NON NEWTONIAN LIQUIDS; POROUS MATERIALS; PRESSURE GRADIENT; REYNOLDS NUMBER;

EMPIRICAL MODEL; FLUID FORCES; FOAM GEOMETRY; NON-NEWTONIAN; NON-NEWTONIAN FLUIDS; SIMULATION DATA; VISCOSITY FLUIDS; VISCOUS FORCES;

NON NEWTONIAN FLOW;

EID: 84879145215     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2013.05.025     Document Type: Article

References (58)

1. Anderson J.M. Biological responses to materials. Annu. Rev. Mater. Res. 2001, 31:81-110.
2. Ballyk P.D., et al. Simulation of non-Newtonian blood flow in an end-to-end anastomosis. Biorheology 1994, 31(5):565-586.
3. Banerjee, R.K., et al., 1991. Effect of the non-Newtonian viscosity of blood on steady and pulsatile flow in stenosed arteries. In: Proceedings of the ASME Winter Annual Meeting, BED 20, Atlanta, December 4-8, pp. 103-106.
4. Chhabra R.P. Bubbles, Drops, and Particles in Non-Newtonian Fluids 2007, Taylor & Francis Group, LLC, Boca Raton.
5. Chien S., et al. Effects of hematocrit and plasma proteins on human blood rheology at low shear rates. J. Appl. Physiol. 1966, 21:81-87.
6. Cho Y.I., Kensey K.R. Effects of the non-Newtonian viscosity of blood on flows in a diseased arterial vessel. Part 1: steady flows. Biorheology 1991, 28:241-262.
7. Ciceron D., et al. Pressure drops for purely viscous non-Newtonian fluid flow through beds packed with mixed size spheres. Chem. Eng. Commun. 2002, 189:1403-1414.
8. Ciceron D., et al. Non-Newtonian fluidisation of spherical particles. Chem. Eng. Sci. 2002, 57:3225-3234.
9. Cokelet G., et al. The rheology of human blood-measurement near and at zero shear rate. Trans. Soc. Rheol. 1963, 7:303-317.
10. Cokelet G. Biomechanics: Its Foundation and Objectives 1973, Prentice-Hall, New Jersey.
11. Cokelet G. The rheology and tube flow of blood. Handbook of Bioengineering 1987, McGraw-Hill, New York. R. Skalak, S. Chien (Eds.).
12. Comiti J., Renaud M. A new model for determining mean structure parameters of fixed beds from pressure drop measurements: application to beds packed with parallelepipedal particles. Chem. Eng. Sci. 1989, 44(7):1539-1545.
13. Demirdzic I., et al. A collocated finite volume method for predicting flows at all speeds. Int. J. Numer. Methods Fluids 1993, 16:1029-1050.
14. Demirdzic I., Musaferija S. Numerical method for coupled fluid flow, heat transfer and stress analysis using unstructured moving meshes with cells of arbitrary topology. Comput. Methods Appl. Mech. Eng. 1995, 125:235-255.
15. Dharmadhikari R.V., Kale D.D. Flow of non-Newtonian fluids through porous media. Chem. Eng. Sci. 1985, 40(3):527-529.
16. Epstein N. Letter to the editor. Chem. Eng. Sci. 1998, 53:1469.
17. Ethier C.R., Simmons C.A. Introductory Biomechanics: From Cells to Organisms 2008, Cambridge University Press, New York.
18. Ferziger J.H., Peric M. Computational Methods for Fluid Dynamics 2002, Springer-Verlag, Berlin. 3rd edition.
19. Fisher C., Stroud Rossmann J. Effect of non-Newtonian behavior on hemodynamics of cerebral aneurysms. J. Biomech. Eng. 2009, 131:091004.
20. Fung Y.C. Biomechanics: Mechanical Properties of Living Tissues 1993, Springer, Berlin. 2nd edition.
21. -1. Part II. Mathematical interpretation. Biorheology 1973, 10:17-22.
22. Johnston B.M., et al. Non-Newtonian blood flow in human right coronary arteries: steady state simulations. J. Biomech. 2004, 37:709-720.
23. Kato T., et al. Contrast-enhanced 2D cine phase MR angiography for measurement of basilar artery blood flow in posterior circulation ischemia. Am. J. Neuroradiol. 2002, 23:1346-1351.
24. Kemblowski Z., Michniewicz M. A new look at the laminar flow of power-law fluids through granular beds. Rheol. Acta. 1979, 18:730-739.
25. Legrand J. Revisited analysis of pressure drop in flow through crushed rocks. J. Hydraul. Eng. 2002, 128:1027-1031.
26. Liepsch D. An introduction to biofluid mechanics-basic models and applications. J. Biomech. 2002, 35:415-443.
27. Maitland D.J., et al. Prototype laser-activated shape memory polymer foam device for embolic treatment of aneurysms. J. Biomed. Opt. 2007, 12(3):030504.
28. Maitland, D.J., et al., 2009. Design and realization of biomedical devices based on shape memory polymers. In: Proceedings of the Material Research Society Symposium, edited by A. Lendlein and P. Shastri, 1190:NN06-01.
29. Mathur S.R., Murthy J.Y. Pressure-based method for unstructured meshes. Numer. Heat Transfer B-Fundam. 1997, 31(2):195-214.
30. Mathur S.R., Murthy J.Y. Pressure boundary conditions for incompressible flow using unstructured meshes. Numer. Heat Transfer B-Fundam. 1997, 32(3):283-298.
31. Mauret E., Renaud M. Transport phenomena in multi-particle systems-1. Limits of applicability of capillary model in high voidage beds-application to fixed beds of fibers and fluidized beds of spheres. Chem. Eng. Sci. 1997, 52:1807-1817.
32. McInnes, P.R., 2003. Embolic filter. United States Patent 6,558,405 BI. May 6.
33. Merrill E., et al. Rheology of human blood, near and at zero flow: effects of temperature and hematocrit level. Biophys. J. 1963, 3:199-213.
34. Metcalfe A., et al. Cold hibernated elastic memory foams for endovascular interventions. Biomaterials 2003, 24:491-497.
35. Mosely R.V., Doty D.B. Changes in the filtration characteristics of stored blood. Ann. Surg. 1970, 171:329.
36. Ortega J.M., et al. Virtual treatment of basilar aneurysms using shape memory polymer foam. Ann. Biomed. Eng. 2013, 41(4):725-743.
37. Peric M., et al. Comparison of finite-volume numerical methods with staggered and colocated grids. Comput. Fluids 1988, 16(4):389-403.
38. Rand P., et al. Viscosity of normal human blood under normothermic and hypothermic conditions. J. Appl. Physiol. 1964, 19:117-122.
39. Rhee J.Y., et al. Treatment of type II endoleaks with a novel polyurethane thrombogenic foam: induction of endoleak thrombosis and elimination of intra-aneurysmal pressure in the canine model. J. Vasc. Surg. 2005, 42(2):321-328.
40. Rodriguez J.N., et al. Opacification of shape memory polymer foam designed for treatment of intracranial aneurysms. Ann. Biomed. Eng. 2012, 40(4):883-897.
41. Sabiri N.-E., Comiti J. Pressure drop in non-Newtonian purely viscous fluid flow through porous media. Chem. Eng. Sci. 1995, 50(7):1193-1201.
42. Sabiri N.-E., Comiti J. Experimental validation of a model allowing pressure gradient determination for non-Newtonian purely viscous fluid-flow through packed beds. Chem. Eng. Sci. 1997, 52(20):3589-3592.
43. Sabiri N.-E., Comiti J. Newtonian and non-Newtonian fluid flows through fixed beds of plate-shared particles. Can. J. Chem. Eng. 1997, 75(6):1030-1037.
44. Sabiri N.-E., et al. Pressure drops of non-Newtonian purely viscous fluid flow through synthetic foams. Chem. Eng. Comm. 1996, 156:59-74.
45. Sabiri, N.-E., et al., Fluidization of various shaped particles by non-Newtonian purely viscous fluids. In: 6th World Congress of Chemical Engineering, San Diego, CA, p. 225.
46. Savins J.G. Non-Newtonian flow through porous media. Ind. Eng. Chem. 1969, 61(10):18-47.
47. Servas, F.M., et al., 1988. Blood filter. United States Patent 4,743,371. May 10.
48. Singhal P., et al. Ultra low density and highly crosslinked biocompatible shape memory polyurethane foams. J. Polym. Sci. Part B: Polym. Phys. 2012, 50:724-737.
49. Skalak R., et al. Mechanics of blood flow. J. Biomech. Eng. 1981, 103:102-115.
50. Soeter J.R., et al. Comparison of filtering efficiency of four new in-line blood transfusion filters. Ann. Surg. 1975, 181:114-117.
51. Solis R.T., Gibbs M.B. Filtration of microaggregates in stored blood. Transfusion 1972, 4:245.
52. Soulis J.V., et al. Non-Newtonian models for molecular viscosity and wall shear stress in a 3D reconstructed human left coronary artery. Med. Eng. Phys. 2008, 30:9-19.
53. Thor, E.J., et al., 1995. Combined cardiotomy and venous blood reservoir. United States Patent 5,411,705. May 2.
54. Wahyudi I., et al. Darcy and post Darcy flows within different sands. J. Hydraul. Res. 2002, 40:519-525.
55. Walburn F.J., Schneck D.J. A constitutive equation for whole human blood. Biorheology 1976, 13:201-210.
56. Ward W.K. A review of the foreign-body response to subcutaneously-implanted devices: the role of macrophages and cytokines in biofouling and fibrosis. J. Diabetes. Sci. Technol. 2008, 2(5):768-777.
57. Wu Y.-S., Pruess K. Flow of non-Newtonian fluids in porous media. Advances in Porous Media 1996, Elsevier, New York. M.Y. Corapcioglu (Ed.).
58. Zupkas, P.F., et al., 1987. Unitary venous return reservoir with cardiotomy filter. United States Patent 4,642,089. February 10.