As a model for flow through the slit diaphragms which connect the epithelial foot processes of renal glomerular capillaries, finite element solutions of Stokes equations were obtained for flow perpendicular to a row of cylinders confined between parallel walls. A dimensionless “additional resistance” (f), defined as the increment in resistance above the Poiseuille flow value, was computed for L/W≤4 and 0.1≤ R/L≤0.9, where L is half the distance between cylinder centers, W is half the distance between walls and R is the cylinder radius. Two factors contributed to f: the drag on the cylinders, and the incremental shear stresses on the walls of the channel. Of these two factors, the drag on the cylinders tended to be dominant. A more complex representation of the slit diaphragm, suggested in the literature, was also considered. The predicted hydraulic permeability of the slit diaphragm was compared with experimental values of the overall hydraulic permeability of the glomerular capillary wall.
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Stokes Flow Through a Row of Cylinders Between Parallel Walls: Model for the Glomerular Slit Diaphragm
M. Claudia Drumond,
M. Claudia Drumond
Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA
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William M. Deen
William M. Deen
Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA
Search for other works by this author on:
M. Claudia Drumond
Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA
William M. Deen
Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA
J Biomech Eng. May 1994, 116(2): 184-189 (6 pages)
Published Online: May 1, 1994
Article history
Received:
January 10, 1993
Revised:
April 10, 1993
Online:
March 17, 2008
Citation
Drumond, M. C., and Deen, W. M. (May 1, 1994). "Stokes Flow Through a Row of Cylinders Between Parallel Walls: Model for the Glomerular Slit Diaphragm." ASME. J Biomech Eng. May 1994; 116(2): 184–189. https://doi.org/10.1115/1.2895718
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