Steady Flow and Wall Compression in Stenotic Arteries: A Three-Dimensional Thick-Wall Model With Fluid–Wall Interactions

[+] Author and Article Information
Dalin Tang, Chun Yang, Shunichi Kobayashi, David N. Ku

Mathematical Sciences Department, Worcester Polytechnic Institute, Worcester, MA 01609

J Biomech Eng 123(6), 548-557 (Jul 23, 2001) (10 pages) doi:10.1115/1.1406036 History: Received February 06, 2000; Revised July 23, 2001
Copyright © 2001 by ASME
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Schematic diagram of the experimental setup
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Stenotic tube and the tube law measurements
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Young’s modulus calculated from three tube law measurements
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Nonuniform mesh used in computation
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Experimental results showing tube collapse under physiological pressure conditions
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Numerical simulation of tube collapse under physiological pressure conditions
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Contour plots of circumferential stress and strain distributions showing wall compression in the tube wall. pin=130 mmHg,pout=20 mmHg,S0=80 percent. (a) max strain at z=2 cm, min strain at z=4.1 cm; (b) max strain at z=2 cm, min strain at 4.8 cm; (c) max stress at z=3.5 cm, min stress at z=3.9 cm; (d) max stress at z=3.45 cm, min stress at z=4.0 cm, local min stress at z=4.8 cm.
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Pressure field: (a) contour map of the horizontal cross section; (b) transmural pressure at the tube wall
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Velocity profiles at different axial positions, horizontal cross section. Different scales are used at different z locations to show details.
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Shear stress distribution along θ=0 and 90 deg lines
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Comparison of numerical results with experimental data. pin=100 mmHg,pout=0–90 mmHg,S0=80 percent. (a) Flow rates; (b) true severities.
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Comparison of numerical pressure–area relationship (tube law) with experimental data. Calculations were conducted under no-flow condition with pin=pout=−50–100 mmHg,S0=80 percent.



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