Asymmetric flows of non-Newtonian fluids in symmetric stenosed artery

Hun Jung; Jong Wook Choi; Chan Guk Park

Korea-Australia Rheology Journal, Vol.16, No.2, 101-108, June, 2004

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Asymmetric flows of non-Newtonian fluids in symmetric stenosed artery

Hun Jung^†, Jong Wook Choi¹, and Chan Guk Park²

Graduate School, Department of Mechanical Engineering, Chonnam National University, Kwangju 500-757, Korea
¹School of Mechanical and Automotive Engineering, Sunchon National University, Sunchon 540-742, Korea
²Department of Mechanical Engineering, Chonnam National University, Kwangju 500-757, Korea

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The hemodynamics behavior of the blood flow is influenced by the presence of the arterial stenosis. If the stenosis is present in an artery, normal blood flow is disturbed. In the present study, the characteristics of pulsatile flow in the blood vessel with stenosis are investigated by the finite volume method. For the validation of numerical model, the computation results are compared with the experimental ones of Ojha et al. in the case of 45% stenosis with a trapezoidal profile. Comparisons between the measured and the computed velocity profiles are favorable to our solutions. Finally, the effects of stenosis severity and wall shear stress are discussed in the present computational analysis. It can be seen, where the non-dimensional peak velocity is displayed for all the stenosis models at a given severity of stenosis, that it is exponentially increased. Although the stenosis and the boundary conditions are all symmetric, the asymmetric flow can be detected in the more than 57% stenosis. The instability by a three-dimensional symmetry-breaking leads to the asymmetric separation and the intense swirling motion downstream of the stenosis.

Keywords:stenosis;wall shear stress;non-Newtonian fluid;numerical analysis;physiological flow;instability flow

[References]

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Solzbach U, Zeiher A, J. Biomech., 25, 543 (1987)
Stroud JS, Berger SA, J. Biomech., 33, 443 (2000)
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[1] Chaturani P, Samy RP, Biorheology, 22, 521 (1985)

[2] Chaturani P, Samy RP, Biorheology, 23, 499 (1986)

[3] Chendron W, Durst F, J. Fluid Mech., 84, 13 (1978)

[4] Drikakis D, Phys. Fluids, 9, 76 (1997)

[5] Fearn RM, Mullin T, J. Fluid Mech., 211, 595 (1990)

[6] Forrest JH, Young DF, J. Biomech., 3, 307 (1970)

[7] Francois M, Dimitris D, Int. J. Heat Fluid Flow, 23, 657 (2003)

[8] Fung YC, Biodynamics: Circulation, Springer, New York (1984)

[9] Siegel JM, Markou CP, ASME, 116, 446 (1994)

[10] Khalifa AMA, Giddens DP, J. Biomech., 14-15, 279 (1981)

[11] Lee KW, Xu XY, Med. Eng. Phys., 24, 575 (2002)

[12] Misra JC, Patra MK, J. Biomech., 26, 1129 (1993)

[13] Nagatomo M, Shin BR, Ikohangi T, Daiguji H, Proc. 5th CFD Symp., 275-278 (1991)

[14] Nakamura M, Sawada T, J. Biomed. Eng., 110, 137 (1988)

[15] Nakamura M, Sawada T, J. Biomed. Eng., 112, 110 (1990)

[16] Ojha M, Cobbold RSC, J. Fluid Mech., 203, 173 (1989)

[17] Patankar SV, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, D.C. (1980)

[18] Quemada D, Rheol. Acta, 17, 643 (1977)

[19] Chakravarty S, Sannigrahi A, Int. J. Eng. Sci., 36, 1083 (1998)

[20] Chien S, Usami S, Blood Flow in Small Tube, In American Physiology Society Handbook of Physiological Section, the Cardiovascular System, 4, Renkins, Bethesda, MD, 217-419 (1984)

[21] Siouffi M, Farahifar R, J. Biomech., 17, 299 (1984)

[22] Solzbach U, Zeiher A, J. Biomech., 25, 543 (1987)

[23] Stroud JS, Berger SA, J. Biomech., 33, 443 (2000)

[24] Takuji I, Guimaraes LFR, F. Dyn. Res., 22, 251 (1998)

[25] Tang D, Yang C, Huang Y, Ku DN, Comput. Struct., 72, 341 (1999)