Investigation of the effects of dynamic change in curvature and torsion on pulsatile flow in a helical tube

Journal of Biomechanical Engineering

Volumn 134, Issue 7, 2012, Pages

  Selvarasu, N K C ^a   Tafti, Danesh K ^a  

^a Virginia Polytechnic Institute and State University   (United States)

Author keywords

Coronary artery motion; curvature; oscillatory shear index; secondary flow patterns; torsion; vorticity flux density; wall shear stress

Indexed keywords

BLOOD VESSELS; COMPUTATIONAL FLUID DYNAMICS; DYNAMICS; FLOW PATTERNS; PHYSIOLOGICAL MODELS; PULSATILE FLOW; SECONDARY FLOW; SHEAR STRESS; THREE DIMENSIONAL COMPUTER GRAPHICS; TORSIONAL STRESS; VORTICITY;

CORONARY ARTERIES; CURVATURE; OSCILLATORY SHEAR INDEX; VORTICITY FLUX; WALL SHEAR STRESS;

HEMODYNAMICS;

ARTERY INTIMA PROLIFERATION; ARTICLE; COMPUTATIONAL FLUID DYNAMICS; CORONARY ARTERY; HELICAL TUBE; HEMODYNAMIC PARAMETERS; HUMAN; PULSATILE FLOW; SHEAR STRESS; SIMULATION; TORSION; TUBE; BIOLOGICAL MODEL; BIOMECHANICS; CORONARY BLOOD VESSEL; HYDRODYNAMICS; MECHANICAL STRESS; PHYSIOLOGY; PRESSURE;

BIOMECHANICAL PHENOMENA; CORONARY VESSELS; HYDRODYNAMICS; MODELS, CARDIOVASCULAR; PRESSURE; PULSATILE FLOW; STRESS, MECHANICAL;

EID: 84864602400     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4006984     Document Type: Article

References (47)

1. Wang, C. Y., 1981, On the Low-Reynolds-Number Flow in a Helical Pipe., J. Fluid Mech., 108, pp. 185-194. 10.1017/S0022112081002073
2. Germano, M., 1982, On the Effect of Torsion on a Helical Pipe Flow., J. Fluid Mech., 125, pp. 1-8. 10.1017/S0022112082003206 (Pubitemid 13487263)
3. Kao, H. C., 1987, Torsion Effect on Fully Developed Flow in a Helical Pipe., J. Fluid Mech., 184, pp. 335-356. 10.1017/S002211208700291X
4. Yamamoto, K., Yanase, S., and Yoshida, T., 1994, Torsion Effect on the Flow in a Helical Pipe., Fluid Dyn. Res., 14, pp. 259-273. 10.1016/0169-5983(94) 90035-3 (Pubitemid 288867)
5. Berger, S. A., Talbot, L., and Yao, L. S., 1983, Flow in Curved Pipes., Annu. Rev. Fluid Mech. 15, pp. 461-512. 10.1146/annurev.fl.15.010183.002333
6. Gammack, D., and Hydon, P. E., 2001, Flow in Pipes with Non-Uniform Curvature and Torsion., J. Fluid Mech., 433, pp. 357-382. http://journals. cambridge.org/action/displayAbstract?fromPage=onlineaid=78603fulltextType= RAfileId=S0022112001003548 (Pubitemid 32403643)
7. Peterson, S. D. and Plesniak, M. W., 2008, The Influence of Inlet Velocity Profile and Secondary Flow on Pulsatile Flow in a Model Artery With Stenosis., J. Fluid Mech., 616, pp. 263-301. 10.1017/S0022112008003625
8. Moore, J. E., Jr., Guggenheim, N., Delfino, A., Doriot, P. A., Dorsaz, P. A., Rutishhauser, W., and Meister, J. J., 1994, Preliminary Analysis of the Effects of Blood Vessel Movement on Blood Flow Patterns in the Coronary Arteries., ASME J. Biomech. Eng., 116, pp. 302-306. 10.1115/1.2895734 (Pubitemid 24267545)
9. Santamarina, A., Weydahl, E., Siegel, J. M., Jr., and Moore, J. E., Jr., 1998, Computational Analysis of Flow in a Curved Tube Model of the Coronary Arteries: Effects of Time-Varying Curvature., Ann. Biomed. Eng., 26, pp. 944-954. 10.1114/1.113 (Pubitemid 128608928)
10. Moore, J. E., Weydahl, E. S., and Santamarina, A., 2001, Frequency Dependence of Dynamic Curvature Effects on Flow Through Coronary Arteries., ASME J. Biomech. Eng., 123, pp. 129-133. 10.1115/1.1351806 (Pubitemid 32381702)
11. Prosi, M., Perktold, K., Ding, Z., and Friedman, M. H., 2004, Influence of Curvature Dynamics on Pulsatile Coronary Artery Flow in a Realistic Bifurcation Model., J. Biomech., 37, pp. 1767-1775. 10.1016/j.jbiomech.2004.01. 021 (Pubitemid 39237590)
12. Zeng, D., Ding, Z., Friedman, M. H., and Ethier, C. R., 2003, Effects of Cardiac Motion on Right Coronary Artery Hemodynamics., Ann. Biomed. Eng., 31, pp. 420-429. 10.1114/1.1560631
13. Theodorakakos, A., 2008, Simulation of Cardiac Motion on Non-Newtonian, Pulsating Flow Development in the Human Left Anterior Descending Coronary Artery., Phys. Med. Biol., 53 (18), pp. 4875-4892. 10.1088/0031-9155/53/18/002
14. Torii, R., 2009, The Effect of Dynamic Vessel Motion on Haemodynamic Parameters in the Right Coronary Artery: A Combined MR and CFD Study., Br. J. Radiol., 82 (1), pp. S24-S32. 10.1259/bjr/62450556
15. Ding, Z. H. and Friedman, M. H., 2000, Dynamics of Human Coronary Arterial Motion and Its Potential Role in Coronary Atherogenesis., ASME J. Biomech. Eng., 122 (5), pp. 488-492. 10.1115/1.1289989
16. Ding, Z. H. and Friedman, M. H., 2000, Quantification of 3-D Coronary Arterial Motion Using Clinical Biplane Cineangiograms., Int. J. Card. Imaging, 16 (5), pp. 331-346. 10.1023/A:1026590417177 (Pubitemid 32058499)
17. Zhu, H., Ding, Z. H., Piana, R. N., Gehrig, T. R., and Friedman, M. H., 2009, Cataloguing the Geometry of the Human Coronary Arteries: A Potential Tool for Predicting Risk of Coronary Artery Disease., Int. J. Cardiol., 135 (1), pp. 43-52. 10.1016/j.ijcard.2008.03.087
18. Brinkman, A. M., Baker, P. B., Newman, W. P., Vigorito, R., and Friedman, M. H., 1994, Variability of Human Coronary-Artery Geometry-An Angiographic Study of the Left Anterior Descending Arteries of 30 Autopsy Hearts., Ann. Biomed. Eng., 22 (1), pp. 34-44. 10.1007/BF02368220 (Pubitemid 24189254)
19. Patel, D. J. and Vaishnav, R. N. J. A., 1980, Basic Hemodynamics and Its Role in Disease Processes, with chapters by V. J. Ferrans, H. B. Atabek, D. L. Fry, L. J. Thomas, J. C. Greenfield, R. N. Vaishnav, and D. J. Patel, ed., University Park, Baltimore.
20. Giddens, D. P., Zarins, C. K., and Glagov, S., 1993, The Role of Fluid-Mechanics in the Localization and Detection of Atherosclerosis., Proceedings of the 1993 ASME/AICHE/ASCE Summer Bioengineering Conference, Forum on the 20th Anniversary of ASME Biomechanics Symposium, ASME, pp. 588-594. (Pubitemid 24000887)
21. Kamiya, A., Bukhari, R., and Togawa, T., 1984, Adaptive Regulation of Wall Shear-Stress Optimizing Vascular Tree Function., Bull. Math. Biol., 46 (1), pp. 127-137. 10.1007/BF02463726 (Pubitemid 14167201)
22. Kamiya, A., and Togawa, T., 1980, Adaptive Regulation of Wall Shear-Stress to Flow Change in the Canine Carotid Artery., Am. Physiol., 239 (1), pp. H14-H21. http://ajpheart.physiology.org/content/239/1/H14.short
23. Perić, M., Kessler, R., and Scheuerer, G., 1988, Comparison of Finite-Volume Numerical Methods With Staggered and Colocated Grids., Comput. Fluids, 16 (4), pp. 389-403. 10.1016/0045-7930(88)90024-2 (Pubitemid 18663460)
24. Tafti, D. K., Sewall, E. A., Graham, A. B., and Thole, K. A., 2006, Experimental Validation of Large Eddy Simulations of Flow and Heat Transfer in a Stationary Ribbed Duct., Int. J. Heat Fluid Flow, 27 (2), pp. 243-258. 10.1016/j.ijheatfluidflow.2005.08.010 (Pubitemid 43257178)
25. Tafti, D. K., 2001, GenIDLEST-A Scalable Parallel Computational Tool for Simulating Complex Turbulent Flows., ASME Fluids Engineering Division (Publication), pp. 347-356.
26. Tafti, D. K., 2005, Evaluating the Role of Subgrid Stress Modeling in a Ribbed Duct for the Internal Cooling of Turbine Blades., Int.l J. Heat Fluid Flow, 26 (1), pp. 92-104. 10.1016/j.ijheatfluidflow.2004.07.002 (Pubitemid 39644729)
27. Elyyan, M. A., Rozati, A., and Tafti, D. K., 2008, Investigation of Dimpled Fins for Heat Transfer Enhancement in Compact Heat Exchangers., Int. J. Heat Mass Transfer, 51 (11-12), pp. 2950-2966. 10.1016/j.ijheatmasstransfer. 2007.09.013 (Pubitemid 351514732)
28. Selvarasu, N. K. C., Tafti, D. K., and Vlachos, P. P., 2011, Hydrodynamic Effects of Compliance Mismatch in Stented Arteries., ASME J Biomech Eng, 133 (2), p. 021008. 10.1115/1.4003319
29. Gopalakrishnan, P., and Tafti, D. K., 2009, A Parallel Boundary Fitted Dynamic Mesh Solver for Applications to Flapping Flight., Comput. Fluids, 38 (8), pp. 1592-1607. 10.1016/j.compfluid.2009.01.006
30. Tafti, D. K., 2011, Time-Accurate Techniques for Turbulent Heat Transfer Analysis in Complex Geometries., Advances in Computational Fluid Dynamics and Heat Transfer, R. S. Amano Bengt, ed., WIT, Southampton, UK.
31. Gopalakrishnan, P., and Tafti, D. K., 2009, Effect of Reynolds Number, Tip Shape, and Stroke Deviation on Flapping Flight., Proceedings of the 39th AIAA Fluid Dynamics Conference, Paper No. AIAA-2009-4193.
32. Gopalakrishnan, P., and Tafti, D. K., 2008, Effect of Wing Flexibility on Lift and Thrust Production in Flapping Flight., AIAA J. (submitted).
33. Gopalakrishnan, P., and Tafti, D. K., 2009, Effect of Rotation and Angle of Attack on Force Production of Flapping Flights., AIAA J. (in press).
34. Gopalakrishnan, P., and Tafti, D. K., 2008, Effect of Phasing of Rotation on Delayed Stall in Flapping Flights Related to Mavs at Re 10,000., AIAA 38th Fluid Dynamic Conference, Seattle, Washington.
35. Gopalakrishnan, P., and Tafti, D. K., 2009, A Parallel Multiblock Boundary Fitted Dynamic Mesh Solver for Simulating Flows with Complex Boundary Movement., Comput. Fluids, 38, pp. 1592-1607. 10.1016/j.compfluid.2009.01.006
36. Lighthill, M. J., 1963, Laminar Boundary Layers, Dover, New York.
37. Morton, B. R., 1984, The Generation and Decay of Vorticity., Geophys. Astrophys. Fluid Dyn., 28 (3-4), pp. 277-308. 10.1080/03091928408230368
38. Karri, S., 2009, Laminar and Transitional Flow Disturbances in Diseased and Stented Arteries., Ph.D. dissertation, Virginia Tech, Blacksburg.
39. Canic, S., Hartley, C. J., Rosenstrauch, D., Tambaca, J., Guidoboni, G., and Mikelic, A., 2006, Blood Flow in Compliant Arteries: An Effective Viscoelastic Reduced Model, Numerics, and Experimental Validation., Ann. Biomed. Eng., 34 (4), pp. 575-592. 10.1007/s10439-005-9074-4
40. Canic, S., and Kim, E. H., 2003, Mathematical Analysis of the Quasilinear Effects in a Hyperbolic Model Blood Flow Through Compliant Axi-Symmetric Vessels., Math. Methods Appl/Sci., 26 (14), pp. 1161-1186. 10.1002/mma.407
41. Canic, S., Lamponi, D., Mikelic, A., and Tambaca, J., 2005, Self-Consistent Effective Equations Modeling Blood Flow in Medium-To-Large Compliant Arteries., Multiscale Model. Simul., 3 (3), pp. 559-596. 10.1137/030602605 (Pubitemid 41269711)
42. Canic, S., and Mikelic, A., 2003, Effective Equations Modeling the Flow of a Viscous Incompressible Fluid Through a Long Elastic Tube Arising in the Study of Blood Flow Through Small Arteries., SIAM J. Appl. Dyn. Syst., 2 (3), pp. 431-463. 10.1137/S1111111102411286 (Pubitemid 38818583)
43. Canic, S., Tambaca, J., Mikelic, A., Hartley, C. J., Mirkovic, D., Chavez, J., and Rosenstrauch, D., Blood Flow Through Axially Symmetric Sections of Compliant Vessels: New Effective Closed Models., Proceedings of the 26th Annual International Conference of the IEEE-Engineering-in-Medicine-and-Biology- Society, IEEE, pp. 3696-3699.
44. Mikelic, A., Guidoboni, G., and Canic, S., 2007, Fluid-Structure Interaction in a Pre-Stressed Tube With Thick Elastic Walls I: The Stationary Stokes Problem., Networks Heterog. Media, 2 (3), pp. 396-423. 10.3934/nhm.2007.2.397
45. Shijie, L. and Masliyah, J. H., 1993, Axially Invariant Laminar Flow in Helical Pipes With a Finite Pitch., J. Fluid Mech., 251, pp. 315-353. 10.1017/S002211209300343X
46. Yamamoto, K., Aribowo, A., Hayamizu, Y., Hirose, T., and Kawahara, K., 2002, Visualization of the Flow in a Helical Pipe., Fluid Dyn. Res., 30, pp. 251-267. 10.1016/S0169-5983(02)00043-6 (Pubitemid 34609387)
47. He, X. J., and Ku, D. N., 1996, Pulsatile Flow in the Human Left Coronary Artery Bifurcation: Average Conditions., ASME J. Biomech. Eng., 118 (1), pp. 74-82. 10.1115/1.2795948 (Pubitemid 26087285)