Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Wall Shear Stress Between Compliant Plates Under Oscillatory Flow Conditions: Influence of Wall Motion, Impedance Phase Angle and Non-Newtonian Fluid

맥동유동하에 있는 유연성 있는 평판 사이의 벽면전단응력: 벽면운동과 임피던스 페이즈 앵글과 비뉴턴유체의 영향

  • Published : 2001.01.01
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Abstract

The present study investigates flow dynamics between two dimensional compliant plates under sinusoidal flow conditions in order to understand influence of wall motion, impedance phase angle (time delay between pressure and flow waveforms), and non-Newtonian fluid on wall shear stress using computational fluid dynamics. The results showed that wall motion induced additional terms in the streamwise velocity profile and the pressure gradient. These additional terms due to wall motion reduced the amplitude of wall shear stress and also changed the mean wall shear stress. The trend of the changes was very different depending on the impedance phase angle. As the impedance phase angle was changed to more negative values, the mean wall shear stress decreased while the amplitude of wall shear stress increased. As the phase angle was reduced from 0°to -90°under $\pm$4% wall motion, the mean wall shear stress decreased by 12% and the amplitude of wall shear stress increased by 9%. Therefore, for hypertensive patients who have large negative phase angles, the ratio of amplitude and mean of the wall shear stress is raised resulting in a more vulnerable state to atherosclerosis according to the low and oscillatory shear stress theory. We also found that non-Newtonian characteristics of the blood protect atherosclerosis by decreasing the oscillatory shear index.

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References

  1. Friedman, M. H., Deters, O. J., Mark, F. F., Bargeron, C. B., and Hutchins, G. M., 1983, 'Arterial Geometry Affects Hemodynamics: a Potential Risk Factor for Atherosclerosis,' Atherosclerosis, Vol. 46, pp. 225-231 https://doi.org/10.1016/0021-9150(83)90113-2
  2. Ku, D. N., Giddens, D. P., Zarins, C. K., and Glagov, S., 1985, 'Pulsatile Flow and Atherosclerosis in the Human Carotid Bifurcation: Positive Correlation Between Plaque Location and Low and Oscillating Shear stress,' Arteriosclerosis, Vol. 5, pp. 293-302
  3. Lou, Z., and Yang, W. J., 1992, 'Biofluid Dynamics of Arterial Bifurcations,' Critical Reviews in Biomedical Eng., Vol. 19, pp. 455-493
  4. Merillon, J. P., Fontenier, G. J., Lerallut, J. F., Jaffrin, M. Y., Motte, G. A., Genain, C. P., and Gourgon, R. R., 1982, 'Aortic Input Impedance in Normal Man and Arterial Hypertension; Its Modifications During Changes in Aortic Pressure,' Cardiovascular Res., Vol. 16, pp. 646-656
  5. White, K. C., Kavanaugh, J. F., Wang, D. M., and Tarbell, J. M., 1994, 'Hemodynamics and Wall Shear Rate in the Abdominal Aorta of Dogs: Effects of Vasoactive Agents,' Circ. Res., Vol. 75, pp. 637-649
  6. Wang, D. M. and Tarbell, J. M., 1992, 'Nonlinear Analysis of Flow in an Elastic Tube(Artery): Steady Streaming Effects,' J. Fluid Mech., Vol. 239, pp. 341-358 https://doi.org/10.1017/S0022112092004439
  7. Wang, D. M. and Tarbell, J. M., 1995, 'Nonlinear Analysis of Oscillatory Flow, with a Nonzero Mean, in an Elastic Tube (Artery),' ASME J. Biomechnical Eng., Vol. 117, pp. 127-135
  8. Qui, Y., Tarbell, J. M., 1996, 'Computational Simulation of Flow in the End-to-End Anastomosis of a Rigid Graft and a Compliant Artery,' ASAIO, Vol. 42, pp. m702-m709
  9. Lee, C.-S., Tarbell, J. M., 1997, 'Wall Shear Stress Distribution in an Abdominal Aortic Bifurcation Model: Effects of Vessel Compliance and Phase Angle Between Pressure and Flow Waveforms,' ASME J. of Biomechanical Eng., Vol. 119, pp. 333-342
  10. Lee, C.-S., Tarbell, J. M., 1998, 'Influence of Vasoactive Drugs on Wall Shear Stress Distribution in a Compliant Model of Abdominal Aortic Bifurcation,' Annals Biomedical Eng., Vol. 26, pp. 125-134 https://doi.org/10.1114/1.89
  11. Chandran, K. B., 1993, Cardiovascular Biomechanics, New York Univ. Press
  12. Cho, Y. I. and Hensey, K. R., 1989, 'Effect of the Non-Newtonian Viscosity of Blood on Hemodynamics of Diseased Arterial Flows,' Advances in Bioengineering, Vol. 107, pp. 257-267
  13. Choi, J. H., Lee, C.-S. and Kim, C.-J., 1999, '99 STAR-CD User's Conference, Korea,' pp. 166-172
  14. Currie, I. G., 1993, Fundamental Mechanics of Fluids, McGRAW-HILL
  15. Arpaci, V. S., Larsen P. S., 1984, Convective Heat Transfer, Prentice-Hall
  16. Imura, T., Yamamoto, K., Kanamori, K., Mikami, T., Yasuda, H., 1986, 'Non-Invasive Ultrasonic Measurement of the Elastic Properties of the Human Abdominal Aorta,' Circulation Research, Vol. 20, pp. 208-214
  17. Merillon, J. P., Fontenier, G. J., Lerallut, J. F., Jaffrin, G. A., Motte, G. A., Genain, C. P., Gourgon, R. R., 1982, 'Aortic Input Impedance in Normal Man and Arterial Hypertension: Its Modification During Changes in Aortic Pressure,' Cardiovascular Research, Vol. 16, pp. 646-656
  18. Cohen, M. I., 1994, 'Measurement of Oscillatory Flow Pressure Gradient in an Elastic Tube and in the Canine Thoracic Aorta,' MS Thesis, Pennsylvania state univ.
  19. Weston, M. W., 1995, 'Wall Shear Rate Measurements in an Elastic Curved Artery Model,' MS Thesis, Pennsylvania state univ.
  20. 최주환, 이종선, 김찬중, 2000, '맥동유동하에 있는 탄성혈관에서 벽면운동과 임피던스 페이즈 앵글이 벽면전단응력에 미치는 영향,' 대한의용생체공학회지, Vol. 21, pp. 363-372