Effect of Non-Newtonian Models on Blood Flow in Artery with Different Consecutive Stenosis

Subject Areas : Mechanical Engineering

Mehdi Jahangiri ¹ , Ahmad Haghani ² , Reza Ghaderi ³ , Seyyed Mohammad Hosseini Harat ⁴

1 -   Department of Mechanical Engineering, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran
2 - Department of Mechanical Engineering, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran
3 - Department of Mechanical Engineering, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran
4 - Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran

Received: 2017-10-27 Accepted : 2017-12-20 Published : 2018-02-18

Keywords:

References:

[1]     Stoltz, J. F., “Hemorheology: Pathophysiological Significance”, Acta Medica Portuguesa, Vol. 6, No. 7, 1985, pp. 4-13.

[2]     Ishikawa, T., Guimaraes, L. F. R., Oshima, S., and Yamane, R., “Effect of Non-Newtonian Property of Blood on Flow Through a Stenosed Tube”, Fluid Dynamics Research, Vol. 22, No. 5, 1998, pp. 251-264.

[3]     Mandal, M. S., Mukhopadhyay, S., and Layek, G. C., “Pulsatile Flow of Shear Dependent Fluid in a Stenosed Artery”, Theoretical and Applied Mechanics, Vol. 39, No. 3, 2012, pp. 209-231.

[4]     Huang, C., Chai, Z., and Shi, B., “Non-Newtonian Effect on Hemodynamic Characteristics of Blood Flow in Stented Cerebral Aneurysm”, Communications in Computational Physics, Vol. 13, No. 3, 2013, pp. 916-928.

[5]     Rabby, M. G., Shupti, S. P., and Molla, M., “Pulsatile Non-Newtonian Laminar Blood Flows through Arterial Double Stenoses,” Journal of Fluids, Vol. 1, No. 1, 2014, Article ID 757902, 13 pages.

[6]     Apostolidis, A. J., Moyer, A. P. and Beris, A. N., “Non-Newtonian Effects in Simulations of Coronary Arterial Blood Flow”, Journal of Non-Newtonian Fluid Mechanics, Vol. 233, No. 1, 2016, pp. 155-165.

[7]     Soares, A. A., Gonzaga, S., Oliveira, C., Simões, A., and Rouboa, A. I., “Computational Fluid Dynamics in Abdominal Aorta Bifurcation: Non-Newtonian Versus Newtonian Blood Flow in a Real Case Study”, Computer Methods in Biomechanics and Biomedical Engineering, Vol. 20, No. 8, 2017, pp. 1-10.

[8]     Jahangiri, M., Saghafian, M., Sadeghi, and M. R., “Effects of Non-Newtonian Behavior of Blood on Wall Shear Stress in an Elastic Vessel with Simple and Consecutive Stenosis”, Biomedical and Pharmacological Journal, Vol. 8, No. 1, 2015, pp. 123-131.

[9]     Jahangiri, M., Saghafian, M., and Sadeghi, M. R., “Numerical Simulation of Non-Newtonian Models Effect on Hemodynamic Factors of Pulsatile Blood Flow in Elastic Stenosed Artery”, Journal of Mechanical Science and Technology, Vol. 31, No. 2, 2017, pp. 1003-1013.

[10]  Fry, D. L., “Acute Vascular Endothelial Changes Associated with Increased Blood Velocity Gradients”, Circulation Research, Vol. 22, No. 2, 1968, pp. 165-197.

[11]  Ramstack, J. M., Zuckerman, L., and Mockros, L. F., “Shear InducedActivation of Platelets”. Journal of Biomechanics, Vol. 12, No. 2, 1979, pp. 113-125.

[12]  Fazli, S., Shirani, E., and Sadeghi, M. R., “Numerical Simulation of LDL Mass Transfer in a Common Carotid Artery under Pulsatile Flow”, Journal of Biomechanic, Vol. 44, No. 1, 2011, pp. 2021-2030.

[13]  Jahangiri, M., Saghafian, M., and Sadeghi, M. R., “Numerical Study of Turbulent Pulsatile Blood Flow Through Stenosed Artery Using Fluid-Solid Interaction”, Computational and Mathematical Methods in Medcine, Vol. 1, No. 1, 2015, Article ID 515613.

[14]  Jahangiri, M., Saghafian, M., and Sadeghi, M. R., “Numerical Simulation of Hemodynamic Parameters of Turbulent and Pulsatile Blood Flow in Flexible Artery with Single and Double Stenosis”, Journal of Mechanical Science and Technology, Vol. 29, No. 8, 2015, pp. 3549-3560.

[15]  Jahangiri, M., Saghafian, M., and Sadeghi, M. R., “Numerical Study of Hemodynamic Parameters in Pulsatile Turbulent Blood flow in Flexible Artery with Stenosis”, The 22st Annual International Conference on Mechanical Engineering-ISME2014, Shahid Chamran University, Ahvaz, Iran, 2014.

[16]  Theory and Modeling Guide, Volume III: ADINA CFD & FSI, Help of ADINA software, 2011, pp. 50-60.

[17]  Cho, Y. I., Kensey, K. R., “Effects of Non-Newtonian Viscosity of Blood on Flows in a Diseased Arterial Vessel, Part 1: Steady Flows”, Biorheology, Vol. 28, No. 3, 1991, pp. 241-262.

[18]  Bird, R. B., Armstrong, R. C., and Hassager, O., “Dynamics of Polymer Liquidsˮ, 2nd ed., Wiley, New York, 1987, chap. 3.

[19]  Fung, Y. C., “Biomechanics: Mechanical Properties of Living Tissuesˮ, 2nd Edition Springer, Berlin, 1993, chap. 2.

[20]  Ballyk, P. D., Steinman, D. A., and Ethier, C. R., “Simulation of Non-Newtonian Blood Flow in an End-To-End Anastomosis”, Biorheology, Vol. 31, No. 5, 1994, pp. 565- 586.

[21]  Walburn, F. J., Schneck, D. J., “A Constitutive Equation for Whole Human Blood”, Biorheology, Vol. 13, No. 3, 1976, pp. 201- 210.

[22]  Sadeghi,M. R., Shirani, E., Tafazzoli-Shadpour, M., and Samaee, M., “The EffectsofStenosisSeverityontheHemodynamicParameters-Assessmentof theCorrelationBetweenStressPhaseAngleandWallShearstress”, Journal of Biomechanic, Vol. 44, No. 15, 2011, pp. 2614- 2626.

[23]  Zeng, D., Boutsianis, E., Ammann, M., and Boomsma, K., “A Study on the Compliance of a Right Coronary Artery and Its Impact on Wall Shear Stress”, Journal of Biomechanical Engineering, Vol. 130, No. 4, 2008, pp. 1-11.

[24]  Sadeghi, M. R., “Numerical Simulation of Blood Flow in Vessels with Arterial Stenosis Considering Fluid Structure Interaction”, Ph.D Dissertation, Graduate school of Mechanical engineering, Isfahan University of Technology, Iran, 2013.

[25]  Jeong, W. W., Rhee, K., “Effects of Surface Geometry and Non-Newtonian Viscosity on the Flow Field in Arterial Stenoses”, Journal of Mechanical Science and Technology, Vol. 23, No. 9, 2009, pp. 2424-2433.