Fluid Dynamics of a Textured Blood-Contacting Surface

[+] Author and Article Information
Naoki Fujisawa, Christopher D. Bertram, Laura A. Poole-Warren, Klaus Schindhelm

Graduate School of Biomedical Engineering, University of New South Wales, Sydney 2052, Australia

John C. Woodard

VentrAssist Pty Ltd., 126 Greville St., Chatswood, NSW 2067, Australia

J Biomech Eng 123(1), 97-105 (Sep 13, 2000) (9 pages) doi:10.1115/1.1338120 History: Received August 15, 1999; Revised September 13, 2000
Copyright © 2001 by ASME
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Grahic Jump Location
Schematic representation of the flow domain, where Ln=5 mm for 50 μm fibers, and Ln=10 mm for 100 μm fibers. Cartesian coordinates (x,y,z) were defined as shown in the bottom left of the figure. The velocities in the three directions were denoted as U,V, and W, respectively.
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Two different mesh grids for one of the side walls (upper panel) and for the base plane (lower panel) of the 100 μm textured surface at the proximal end of the textured region. The leading edge of the textured region where the longitudinal coordinate was set to x=0 was defined as shown. The 50 μm fibers were modeled as having identical shape to the 100 μm fibers up to their reduced height of truncation. The horizontal grid spacing on top of the 50 μm fibers remained constant with vertical distance, whereas it gradually increases with vertical distance from the top of the 100 μm fibers.
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Longitudinal U distributions halfway between the two fiber rows at various heights y of the 50 μm and 100 μm textured surfaces, shown in the upper panels, where U is plotted at y=100 μm and at every 100 μm increment up to 2000 μm. The longitudinal fiber rows lie between the two dotted lines shown in each panel. The rectangular domains marked by the dashed lines in the upper panels are shown enlarged in the corresponding lower panels, where U at y=10 μm and at every 10 μm increment up to 200 μm is plotted.
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Maximum U alteration from a fully developed parabolic velocity profile in the longitudinal direction at various heights y in the case of the 50 μm and 100 μm fiber rows (circles and triangles, respectively). The 50 μm and 100 μm fibers extend up to the y values indicated by the dashed and dash–dot lines, respectively.
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Longitudinal V distribution halfway between the two fiber rows at various y, for the 50 μm and 100 μm textured surfaces. The V distributions at y=10, 50, 100, 150, and 200 μm are plotted in the upper panels, while those at y=200 μm and at every 200 μm increment up to 2000 μm are plotted in the lower panels.
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Pressure contours on the plane cutting through a fiber row in the case of the 100 μm fiber length. Contour interval size is 0.223678 Pa. All of the 32 fibers appear in the panel.
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Polar wall-shear-stress distributions around the side walls of the four fibers in one fiber row at the proximal end (upper half), and the four fibers in the other fiber row at the distal end (lower half) of the 100 μm textured surface. Each panel contains the wall-shear-stress plots along twelve equally spaced heights of the fibers (y=4.1667, 12.5, 20.833, 29.167, 37.5, 45.833, 54.167, 62.5, 70.833, 79.167, 87.5, 95.833 μm), where shear stress always increased with height. The location (degree) is referenced to increase in the flow direction, and the numbers in parentheses are the fiber numbers.
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The maximum wall shear stresses over the circumference of the 100 μm fibers at each of the equally spaced heights in μm marked (top panel), and their circumferential locations (remaining panels in the lower half of the figure), where the location (degree) is referenced to increase in the flow direction
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Wall-shear-stress distribution along the entire fiber length of the 24th fiber at 90 deg. A spline function was fitted over the wall-shear-stress data points of each fiber length.
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Spatial distribution of wall shear stress over the base plane of the 100 μm fiber rows at the proximal (upper panel) and distal (lower panel) ends. The horizontal plane corresponds to the base plane, and the distance from the base plane is proportional to the magnitude of wall shear stress. The half-circular spaces on the base plane are where fibers are, and the numbers next to the fibers indicate the fiber numbers. The filled dots are the data points obtained in the CFX output file.
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Wall-shear-stress variation on the base plane of the 100 μm textured fiber rows in the longitudinal direction along the lines cutting through the centerline of the odd-numbered row of fibers (dashed line), cutting through the other fiber row (dash–dot line), and halfway between the two fiber rows (solid line)
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Longitudinal wall-shear-stress distributions on the base planes of the 50 μm (circles) and 100 μm (triangles) textured fiber rows. The wall shear stress in the absence of fibers is indicated by the dash–dot line.
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Spatial mean wall shear stress as a function of fiber length in the midst of the array



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