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Korea-Australia rheology journal v.22 no.2, 2010년, pp.129 - 139   SCIE
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Numerical study on turbulent blood flow in a stenosed artery bifurcation under periodic body acceleration using a modified k-$\varepsilon$ model

Ro, Kyoung-Chul    (School of Mechanical Engineering, Chung-Ang University   ); Ryou, Hong-Sun    (School of Mechanical Engineering, Chung-Ang University  );
  • 초록

    This article describes the numerical investigation of turbulent blood flow in the stenosed artery bifurcation under periodic acceleration of the human body. Numerical analyses for turbulent blood flow were performed for six simulation cases with different magnitude of periodic accelerations using a modified k- $\varepsilon$ turbulence model which is considering drag reduction of non-Newtonian fluid. The blood was considered to be a non-Newtonian fluid which is based on the power-law viscosity model. In order to validate the modified k- $\varepsilon$ model, numerical simulations were compared with laminar flow, the standard k- $\varepsilon$ model and the Malin's turbulence model for power-law fluid. As results, laminar flow showed under predictions of blood velocity and wall shear stress, on the other hand, standard k- $\varepsilon$ model over estimates. The modified k- $\varepsilon$ model represents intermediate characteristics between laminar and standard k- $\varepsilon$ model, and the modified k- $\varepsilon$ model show good agreements with Malin's verified power law model. Moreover, the computing time and computer resource of the modified k- $\varepsilon$ model are reduced about one third than low Reynolds number model including Malin's model.


  • 주제어

    turbulent blood flow .   k- $\varepsilon$ turbulence model .   periodic body acceleration .   drag reduction .   artery bifurcation.  

  • 참고문헌 (36)

    1. Berger, S. A. and L. D. Jou, 2000, Flows in Stenotic Vessels, Annu Rev Fluid Mech. 32, 347-382. 
    2. Biro, G. P., 1982, Comparison of Acute Cardiovacular Effects and Oxygen Supply Following Haemodilution with Dextran, Stroma-Free Haemoglobin Solution and Fluorocarbon Suspension, Cardiovascular Res. 16, 194-204. 
    3. Caro, C. G., T. J. Schroter and W.A. Seed, 1996, The Mechanics of the Circulation, J. Biomech. 29, 899-908. 
    4. Chaturani, P. and V. Palanisamy, 1990, Casson fluid model for pulsatile flow of blood flow under periodic body acceleration, Biorheology. 27, 619-630. 
    5. Glagov, S., C. Zarins, D. P. Giddens and D. N. Ku, 1988, Hemodynamics and Atherosclerosis, Arch. Pathol. Lab. Mec. 112, 1018-1031. 
    6. Hiatt, E. P., J. P. Mecchan and Galambos, 1961, Reports on Human Acceleration, NASNRC Washington DC, publication 901. 
    7. Hooks, L. E., R. M. Nerem and T. J. Benson, 1972, A momentum integral solution for pulsatile flow in a rigid tube with and without longitudinal vibration, Int. J. Eng. Sci. 10, 989-1007. 
    8. Lumley, J. L., 1973, Drag reduction in turbulent flow by polymer additives, J. Polymer Science. 7, 263-290. 
    9. Malin, M. R., 1997, Turbulent pipe flow of power-law fluids, Int. Comm. Heat Mass Transfer 24, 977-988. 
    10. Malin, M. R., 1999, PHOENICS Simulation of the Turbulent Flow of Herschel-Bulkley Fluids in Smooth Pipes, The PHOENICS Journal of Computational Fluid Dynamics and its Applications. 12, 351-367. 
    11. Virk, P. S., 1975, Drag reduction fundamentals, AIChE J. 21, 625-656. 
    12. Yoo, S. S., S. H. Suk and H. W. Roh, 1996, Numerical simulation of flows of non-Newtonian fluids in the stenotic and bifurcated tubes, J. Mech. Sci. Technol. 10, 223-234. 
    13. Fry, D. L., 1968, Acute Vascular Endothelium Changes Associated with Increased Blood Velocity Gradients, Circ. Res. 22, 165-197. 
    14. Meyer, W. A., 1966, A correlation of frictional characteristics for turbulent flow of dilute non-Newtonian fluids in pipes, AIChE J. 12, 522-525. 
    15. Chaturani, P. and V. Palanisamy, 1991, Pulsatile flow of blood with periodic body acceleration, Int. J. Eng. Sci. 29, 113-121. 
    16. Escudier, M. P., F. Presti and S. Smith, 1999, Drag reduction in the turbulent pipe flow of polymers, J. Non-Newtonian Fluid Mech. 81, 197-213. 
    17. Dodge, D. W. and A. B. Metzner, 1959, Turbulent Flow of Non- Newtonian System, AIChE J. 5, 189-204. 
    18. Bradly, J. G. and K. A. Davis, 2003, Orthostatic Hypotension, Am Fam Physician. 68, 2393-2398. 
    19. Toms, B. A., 1976, Some observations on the flow of linear polymer solutions through straight tubes at large Reynolds numbers, Proc. First Int. Cong. Rheol. 2, 135-141. 
    20. Mandal, P. K., S. Chakravarthy, A. Mandal and N. Amin, 2007, Effect of body acceleration on unsteady pulsatile flow of non- Newtonian fluid through a stenosed artery, Appl. Math. Comput. 189, 766-779. 
    21. Sud, V. K. and G. S. Sekhon, 1985, Arterial flow under periodic body acceleration, Bull Math. Biol. 47, 35-52. 
    22. Pinho, F. T., 2003, A GNF framework for turbulent flow models of drag reducing fluids and proposal for a k-e type closure, J. Non-Newtonian Fluid Mech. 114, 149-184. 
    23. Malek, A. M., S. L. Alper and S. Izumo, 1999, Hemodynamic shear stress and its role in atherosclerosis, JAMA 282, 2035-2042. 
    24. Mirsa, J. C. and B. K. Sahu, 1988, Flow through blood vessels under the action of a periodic acceleration field : A mathematical analysis, Comput. Math. Appl. 16, 993-1016. 
    25. Nagarani, P. and G. Sarojamma, 2008, Effect of body acceleration on pulsatile flow of Casson fluid through a mild stenosed artery, Korea-Aust. Rheol. J. 20, 189-196.     
    26. Ptasinski, P. K., F. T. M. Nieuwstadt, H. H. A. A. Van Den Brule and M. A. Hulsen, 2001, Experiments in turbulent pipe flow with polymer additives at maximum drag reduction, Flow, Turbul. Combust. 66, 159-182. 
    27. Ro, K. C. and H. S. Ryou, 2009, Numerical study of the effects of periodic body acceleration (PGZ) and bifurcation angle in the stenosed artery bifurcation, Korea-Aust. Rheol. J. 21, 175- 183.     
    28. Ro, K. C. and H. S. Ryou, 2010, Development of the modified ke turbulence model for non-Newtonian fluid using drag reduction, Eur. J. Mech. B. Fluids submitted. 
    29. Hoyt, J. W., 1972, The effect of additives on fluid friction, ASME J. Basic Eng. 94, 258. 
    30. Chaturani, P., A. S. A. Isaac and Wassf, 1995, Blood flow with body acceleration forces, Int. J. Eng. Sci. 33, 1807-1820. 
    31. El-Shahed, M., 2003, Pulsatile flow of blood through a stenosed porous medium under periodic body acceleration, Appl. Math. Comput. 138, 479-488. 
    32. Sud, V. K. and G. S. Sekhon, 1986, Analysis of blood through a model of the human arterial system under periodic body acceleration, J. Biomech. 19, 929-941. 
    33. Chakravarty, S. and P. K. Mandal, 1996, A nonlinear two-dimensional model of blood flow in an overlapping arterial stenosis subjected to body acceleration, Math. Comput. Model. 24, 43-58. 
    34. Lam, C. K. G. and K. Bremhorst, 1981, A Modified Form of the ${\kappa}-{\varepsilon}$ Model for Predicting Wall Turbulence, J. Fluids Eng. 103, 456-460. 
    35. Ku, D. N., D. P. Giddens, C. K. Zarins and S. Glagov, 1985, Pulsatile flow and atherosclerosis in the human carotid bifurcation. Positive correlation between plaque location and low and oscillating shear stress, Arteriosclerosis. 5, 293-302. 
    36. Tang, D., C. Yang, S. Kobayashi, J. Zheng and R. P. Vito, 2003, Effect of stenosis asymmetry on blood flow and artery compression: a three-dimensional fluid-structure interaction model, J. Biomed. Eng. 31, 1182-1193. 

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