On the representation of turbulent stresses for computing blood damage

International Journal of Engineering Science

Volumn 48, Issue 11, 2010, Pages 1325-1331

  Hund, Samuel J ^a   Antaki, James F ^a   Massoudi, Mehrdad ^b  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b NATIONAL ENERGY TECHNOLOGY LABORATORY   (United States)

Author keywords

Blood hemolysis; Damage; Dissipation; Turbulence

Indexed keywords

BLOOD CELLS; BLOOD DAMAGE; COMPUTATIONAL PREDICTIONS; DAMAGE; DISSIPATION; FLOW CONDITION; MEDICAL DEVICES; REYNOLDS STRESS; TURBULENT STRESS;

BIOMEDICAL ENGINEERING; ENERGY DISSIPATION; REYNOLDS NUMBER; TURBULENCE;

BLOOD;

EID: 78649634424     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2010.09.003     Document Type: Article

References (58)

1. G. Ahmadi On the k- model of turbulence Int. J. Eng. Sci. 23 1985 849 856
2. G. Ailawadi, and R.K. Zacour Cardiopulmonary bypass/extracorporeal membrane oxygenation/left heart bypass: Indications, techniques, and complications Surg. Clin. North Am. 89 2009 781 796 vii-viii
3. G. Alfonsi Reynolds-averaged Navier-Stokes equations for turbulence modeling Appl. Mech. Rev. 62 2009 1 20
4. J. Apel, R. Paul, S. Klaus, T. Siess, and H. Reul Assessment of hemolysis related quantities in a microaxial blood pump by computational fluid dynamics Artif. Organs 25 2001 341 347 (Pubitemid 32830462)
5. K. Barnes Complications in patients with ventricular assist devices Dimens. Crit. Care Nurs. 27 2008 233 241
6. P.L. Blackshear Jr., F.D. Dorman, and J.H. Steinbach Some mechanical effects that influence hemolysis Trans. Am. Soc. Artif. Intern. Organs 11 1965 112 117
7. P. Blackshear Mechanical hemolysis in flowing blood Y.-C. Fung, Biomechanics: Its Foundation and Objectives 1972 Prentice-Hall Englewood Cliffs, NJ 501 528
8. C. Bludszuweit Three dimensional numerical prediction of stress loading of blood particles in a centrifugal pump Artif. Organs 19 1995 590 596
9. D. Bluestein Research approaches for studying flow-induced thromboembolic complications in blood recirculating devices Expert Rev. Med. Devices 1 2004 65 80
10. R. Boreda, R.S. Fatemi, and S.E. Rittgers potential for platelet stimulation in critically stenosed carotid and coronary arteries J. Vasc. Invest. 1 1995 26 37
11. S.C. Crow Viscoelastic properties of fine-grained incompressible turbulence J. Fluid Mech. 33 1968 1 20
12. S. Einav, and D. Bluestein Dynamics of blood flow and platelet transport in pathological vessels Ann. NY Acad. Sci. 1015 2004 351 366
13. M.I. Farinas, A. Garon, D. Lacasse, and D. N'Dri Asymptotically consistent numerical approximation of hemolysis J. Biomech. Eng. 128 2006 688 696
14. M. Giersiepen, L.J. Wurzinger, R. Opitz, and H. Reul Estimation of shear stress-related blood damage in heart valve prostheses - in vitro comparison of 25 aortic valves Int. J. Artif. Organs 13 1990 300 306
15. M. Grigioni, C. Daniele, U. Morbiducci, G. D'Avenio, G. Di Benedetto, C. Del Gaudio, and V. Barbaro Computational model of the fluid dynamics of a cannula inserted in a vessel: incidence of the presence of side holes in blood flow J. Biomech. 35 2002 1599 1612
16. M. Grigioni, C. Daniele, G. D'Avenio, and V. Barbaro Evaluation of the surface-averaged load exerted on a blood element by the Reynolds shear stress field provided by artificial cardiovascular devices J. Biomech. 35 2002 1613 1622
17. G. Heuser, and R. Opitz A Couette viscometer for short time shearing in blood Biorheology 17 1980 17 27
18. Y.-N. Huang, F. Durst, and K. Rajagopal The natural viscosity of turbulence J. Turbulence 4 2003 1 7
19. Y.-N. Huang, and K. Rajagopal On a generalized nonlinear K- model for turbulence that models relaxation effects J. Theor. Comput. Fluid Dynamics 8 1996
20. S.J. Hund, J.F. Antaki, Improved methodologies for the e-Design of medical devices, in: Proceedings: 1st International Conference on e-Design, Atlanta, GA, USA, 2004.
21. C.C. Hwang, M. Massoudi, G. Zhu, and J.M. Ekmann Turbulence modelling of the flowfield in combustors using the non-linear k- model Adv Num. Simul. Turbulent Flows 1991 35 42
22. C.C. Hwang, G. Zhu, M. Massoudi, and J.M. Ekmann A comparison of the linear and non-linear k- turbulence models in combustors J. Fluids Eng. 115 1993 93 102
23. J. Jesty, W. Yin, P. Perrotta, and D. Bluestein Platelet activation in a circulating flow loop: Combined effects of shear stress and exposure time Platelets 14 2003 143 149
24. S.A. Jones A relationship between Reynolds stresses and viscous dissipation: implications to red cell damage Ann. Biomed. Eng. 23 1995 21 28
25. L. Kachanov Introduction to continuum damage mechanics 1986 Martinus Nijhoff Publishers Dortrecht
26. A.M. Kuethe, and C.-Y. Chow Foundations of aerodynamics: bases of aerodynamic design 1998 J. Wiley New York
27. B. Launder, and D. Spalding The numerical computation of turbulent flows Comput. Methods Appl. Mech. 3 1974 269 289
28. L.B. Leverett, J.D. Hellums, C.P. Alfrey, and E.C. Lynch Red blood cell damage by shear stress Biophys. J. 12 1972 257 273
29. Y. Mitamura, H. Nakamura, and K. Sekine Prediction of hemolysis in rotary blood pumps with computational fluid dynamics analysis J. Congest. Heart Failure Circ. Supp. 1 2000 331 336
30. R. Paul, J. Apel, S. Klaus, F. Schugner, P. Schwindke, and H. Reul Shear stress related blood damage in laminar Couette flow Artif. Organs 27 2003 517 529
31. S.B. Pope Turbulent Flows 2000 Cambridge University Press New York, USA
32. K.X. Qian Low haemolysis pulsatile impeller pump: design concepts and experimental results J. Biomed. Eng 11 1989 478 481
33. N.J. Quinlan, and P.N. Dooley Models of flow-induced loading on blood cells in laminar and turbulent flow with application to cardiovascular device flow Ann. Biomed. Eng. 2007
34. K. Rajagopal, L. Tao, and G. Chen Some issues in constitutive modeling Comm. Nonlin. Sci. Numer. Sim. 9 2004 305 312
35. K.R. Rajagopal Remarks on "On a generalized nonlinear k- model and the use of extended thermodynamics in turbulence" Theor. and Comput. Fluid Dynamics 13 1999 167 169
36. R. Rand Mechanical properties of the red cell membrane: II. Viscoelastic breakdown of the membrane Biophys. J. 4 1964 303 316
37. E. Richardson Applications of a theoretical model for haemolysis in shear flow Biorheology 12 1975 27 37
38. R. Rivlin The relation between the flow of non-Newtonian fluids and turbulent Newtonian fluids Q. Appl. Math. 15 1957 212
39. W. Rodi A new algebraic relation for calculating the Reynolds stresses Zeitschrift fuer angewandte Mathematik und Mechanik 56 1976 219 221
40. W. Rodi Examples of turbulence models for incompressible flows AIAA J. 20 1982 872
41. G. Sayer, Y. Naka, and U.P. Jorde Ventricular assist device therapy Cardiovasc Ther. 27 2009 140 150
42. D. Sloan, P. Smith, and L. Smoot Modeling of swirl In turbulent flow systems Prog. Energy Combust. Sci. 12 1986 163
43. X. Song, A.L. Throckmorton, H.G. Wood, J.F. Antaki, and D.B. Olsen Computational fluid dynamics prediction of blood damage in a centrifugal pump Artif. Organs 27 2003 938 941 (Pubitemid 37338804)
44. X. Song, H.G. Wood, P.E. Allaire, J.F. Antaki, and D.B. Olsen Inlet and outlet devices for rotary blood pumps Artif. Organs 28 2004 911 915
45. C. Speziale On Nonlinear k- models of turbulence J. Fluid Mech. 178 1987 459
46. C. Speziale On nonlinear k-l and k- models of turbulence J. Fluid Mech. 178 1987 459 475
47. C.G. Speziale On turbulent Reynolds stress closure and modern continuum mechanics Int. J. Nonlinear Mech.16 1981 387
48. C.G. Speziale On a generalized nonlinear k- model and the use of extended thermodynamics in turbulence Theor. Comput. Fluid Dynamics 13 1999 161 166
49. C.G. Speziale, and T. Ngo Numerical solution of turbulent flow past a backward facing step using a nonlinear k- model Int. J. Eng. Sci. 26 1988 1099
50. M. Tamagawa, T. Akamatsu, and K. Saitoh Prediction of hemolysis in turbulent shear orifice flow Artif. Organs 20 1996 553 559
51. L. Tao, M. Ramakrishna, and K. Rajagopal Turbulence modeling from a new perspective Nonlinear Analysis: Real World Applications 11 2010 39 54
52. A.C. Ugural, and S.K. Fenster Advanced strength and applied elasticity 1975 American Elsevier Pub. Co. New York
53. F.J. Walburn, H.N. Sabbah, and P.D. Stein Estimation of Reynolds shear stresses during pulsatile flow in the region of aortic valves Ann. Biomed. Eng 13 1985 17 23
54. F.J. Walburn, H.N. Sabbah, and P.D. Stein Turbulent stresses in the region of a Hancock porcine bioprosthetic aortic valve J. Biomech. Eng 107 1985 200 205
55. J. Wu, J.F. Antaki, T.A. Snyder, W.R. Wagner, H.S. Borovetz, and B.E. Paden Design optimization of blood shearing instrument by computational fluid dynamics Artif. Organs 29 2005 482 489
56. L.J. Wurzinger, P. Blasberg, and H. Schmid-Schonbein Towards a concept of thrombosis in accelerated flow: Rheology, fluid dynamics, and biochemistry Biorheology 22 1985 437 450
57. L.J. Wurzinger, R. Opitz, and H. Eckstein Mechanical blood trauma Angeilogie 38 1986 81 97
58. K.K. Yeleswarapu, J.F. Antaki, M.V. Kameneva, and K.R. Rajagopal A mathematical model for shear-induced hemolysis Artif. Organs 19 1995 576 582