Influence of non-newtonian behavior of blood on flow in an elastic artery model

Journal of Biomechanical Engineering

Volumn 118, Issue 1, 1996, Pages 111-119

  Dutta, A ^a,b   Tarbell, J M ^a  

^a The Pennsylvania State University   (United States)

^b JOHNS HOPKINS UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BLOOD; CARDIOVASCULAR SYSTEM; FLOW MEASUREMENT; HEMODYNAMICS; MATHEMATICAL MODELS; MAXWELL EQUATIONS; NEWTONIAN FLOW; RHEOLOGY; SHEAR STRESS; VISCOELASTICITY; VISCOSITY; WALL FLOW;

BLOOD PLASMA; ELASTIC ARTERY MODEL; FLOW RATE; PHASE ANGLE; POWER LAW; SHEAR THINNING VISCOSITY; WALL MOTION; WALL SHEAR STRESS; WAVEFORM;

NON NEWTONIAN FLOW;

ARTERY BLOOD FLOW; ARTICLE; BLOOD FLOW VELOCITY; BLOOD RHEOLOGY; BLOOD VISCOSITY; ELASTICITY; MODEL; SHEAR STRESS;

AORTA, THORACIC; ARTERIES; ELASTICITY; HUMANS; MODELS, CARDIOVASCULAR; REFERENCE VALUES; RHEOLOGY; STRESS, MECHANICAL; VISCOSITY;

EID: 0030087637     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.2795936     Document Type: Article

References (33)

1. Bird, R. B., Armstrong, R. C., and Hassager, O., 1987, Dynamics of Polymeric Liquids, Vol. 1, Fluid Mechanics, Wiley, New York.
2. Brookshier, K. K., and Tarbell, J. M., 1991, “Effect of Hematocrit on Wall Shear Rate in Oscillatory Flow: Do the Elastic Properties of Blood Play a Role,” Biorheology, Vol. 28, p. 569.
3. Brookshier, K. K., and Tarbell, J. M., 1993, “Evaluation of a Transparent Blood Analog Fluid: Aqueous Xanthan Gum/Glycerin,” Biorheology, Vol. 30, pp. 107-116.
4. Caro, C. G., Pedley, T. J., Schroter, R. C., and Seed, W. A., 1978, The Mechanics of the Circulation, Oxford University Press, New York.
5. Casson, N., 1959, Rheology of Disperse Systems, Pergamon Press, Oxford.
6. Chien, S., Dormandy, J., Ernst, E., Matrai, A., eds., 1987, Clinical Hemorheol-ogy, Martinus Nijhoff Publishers, Dordrecht.
7. Cokelet, G. R., Merrill, E. W., Gilliland, E. R., Shin, H., Britton, A., and Wells, R. E., 1963, “The Rheology of Human Blood-Measurements Near and at Zero Shear Rate,” Trans. Soc. Rheol, Vol. VII, p. 303.
8. Copley, A. L., 1973, “On Biorheology, Joint Plenary Lecture,” Biorheology, Vol. 10, p. 87.
9. Copley, A. L., King, R. G., Chien, S., Usmai, S., Skalak, R., and Huang, C. R., 1975, “Microscopic Observations of Viscoelasticity of Human Blood in Steady and Oscillatory Shear,” Biorheology, Vol. 12, p. 257.
10. Cox, R. H., 1975, “Pressure Dependence of the Mechanical Properties of Arteries In Vivo,” Am. J. Physiol., Vol. 228, p. 1371.
11. Dutta, A., Wang, D. M., and Tarbell, J. M., 1992, “Numerical Analysis of Flow in an Elastic Artery Model,” ASME Journal of Biomechanical Engineering, Vol. 114, p. 26.
12. Easthope, P. L., and Brooks, D., 1980, “A Comparison of Rheological Constitutive Functions for Whole Human Blood,” Biorheology, Vol. 17, p. 235.
13. Federspiel, W. J., and Cokelet, G. R., 1984, “Blood Viscoelasticity for Conditions of Physiological Flow in Small Arteries,” Chem. Eng. Commun., Vol. 30, p. 275.
14. Greenfield, J. C., and Patel, D. J., 1962, “Relation Between Pressure and Diameter in the Ascending Aorta of Man,” Circ. Res., Vol. 10, p. 778.
15. Liepsch, D., and Moravec, S., 1984, “Pulsatile Flow of Non-Newtonian Fluid in Distensible Models of Human Arteries,” Biorheology, Vol. 21, p. 571.
16. Ling, S. C., and Atabek, H. B., 1972, “A Nonlinear Analysis of Pulsatile Flow in Arteries,” J. Fluid Mech., Vol. 55, p. 493.
17. Mann, D. E., and Tarbell, J. M., 1990, “Flow of Non-Newtonian Blood Analog Fluids in Rigid Curved and Straight Artery Models,” Biorheology, Vol. 27, p. 711
18. McDonald, D. A., 1974, Blood Flow in Arteries, 2nd ed., Edward Arnold Publishers, London.
19. Merril, E. W., Margetts, W. G., Cokelet, G. R., Britten, A., Salzman, E. W., Pennell, R. B., and Melin, M., 1965, Proc. 4th Inti. Cong. Rheol, Vol. 4, p. 601, Interscience, New York.
20. Milnor, W. R., 1989, Hemodynamics, 2nd ed., Williams and Wilkins, Baltimore.
21. Moravec, S., and Liepsch, D., 1983, “Flow Investigations in a Model of a Three-Dimensional Human Artery with Newtonian and Non-Newtonian Fluids, Part I.,” Biorheology, Vol. 20, p. 745.
22. Patel, D. J., Greenfield, J. C., Austen, W. G., Morrow, A. G., and Fry, D. L., 1965, “Pressure-Flow Relationships in the Ascending Aorta and Femoral Artery of Man,” J. Appl. Physiol, Vol. 20, p. 459.
23. Patel, D. J., Janicki, J. S., Vaishnav, R. N., and Young, J. T., 1973, “Dynamic Anisotropic Viscoelastic Properties of the Aorta in Living Dogs,” Circ. Res., Vol. 32, p. 93.
24. Patel, D. J., and Vaishnav, R. N., 1980, Basic Hemodynamics and Its Role in Disease Processes, University Park Press.
25. Pedley, T. J., 1980, The Fluid Mechanics of Large Blood Vessels, Cambridge University Press.
26. Rodkiewicz, C. M., Sinha, P., and Kennedy, J. S., 1990, “On the Application of a Constitutive Equation for Whole Human Blood,” ASME Journal of Biomechanical Engineering, Vol. 112, p. 198.
27. Scott Blair, G. W., 1959, “An Equation for the Flow of Blood, Plasma, and Serum through Glass Capillaries,” Nature, Vol. 183, p. 613.
28. Thurston, G. B., 1975, “Elastic Effects in Pulsatile Blood Flow,” Microvasc. Res., Vol. 9, p. 145.
29. Thurston, G. B., 1979, “Rheological Parameters for the Viscosity, Viscoelasticity and Thixotropy of Blood,” Biorheology, Vol. 16, p. 149.
30. Walburn, F. J., and Schneck, D. J., 1976, “A Constitutive Equation for Whole Human Blood,” Biorheology, Vol. 18, p. 201.
31. Wang, D.-M., and Tarbell, J. M., 1992, “Nonlinear Analysis of Flow in a Tube (Artery)-Steady Streaming Effects,” J. Fluid Mech., Vol. 239, p. 341.
32. White, K. C., 1991, “Hemodynamics and Wall Shear Rate Measurements in the Abdominal Aorta of Dogs,” Ph.D. thesis, The Pennsylvania State University.
33. Womersley, J. R., 1955, “Method for the Calculation of Velocity, Rate of Flow and Viscous Drag in Arteries When the Pressure Gradient is Known,” J. Physiol, Vol. 127, p. 553.