Stokes flow through periodic arrays of spheres

1982 ◽  
Vol 115 (-1) ◽  
pp. 13 ◽  
Author(s):  
A. A. Zick ◽  
G. M. Homsy
Keyword(s):  
Stokes Flow ◽  
Periodic Arrays ◽  
Flow Through ◽  
Arrays Of Spheres

Permeability of periodic arrays of spheres

2005 ◽  
Vol 32 (6) ◽  
pp. 659-665 ◽  
Author(s):  
A. Kadaksham ◽  
S.B. Pillapakkam ◽  
P. Singh
Keyword(s):  
Periodic Arrays ◽  
Arrays Of Spheres

scholarly journals Stokes flow through a slit with periodic reabsorption: An application to renal tubule

2016 ◽  
Vol 55 (2) ◽  
pp. 1799-1810 ◽  
Author(s):  
T. Haroon ◽  
A.M. Siddiqui ◽  
A. Shahzad
Keyword(s):  
Stokes Flow ◽  
Renal Tubule ◽  
Flow Through

Stokes Flow Through a Row of Cylinders Between Parallel Walls: Model for the Glomerular Slit Diaphragm

1994 ◽  
Vol 116 (2) ◽  
pp. 184-189 ◽  
Author(s):  
M. Claudia Drumond ◽  
William M. Deen
Keyword(s):  
Stokes Flow ◽  
Stokes Equations ◽  
Slit Diaphragm ◽  
Hydraulic Permeability ◽  
Shear Stresses ◽  
Two Factors ◽  
Additional Resistance ◽  
Flow Through ◽  
Experimental Values ◽  
Glomerular Capillaries

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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