Stokes flow through a periodically constricted tube and the resistance due to a contraction

2001 ◽  
Vol 148 (1-4) ◽  
pp. 55-61 ◽  
Author(s):  
C. Y. Wang
Keyword(s):  
Stokes Flow ◽  
Flow Through ◽  
Constricted Tube

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.

scholarly journals Unsteady Stokes Flow through Porous Channel with Periodic Suction and Injection with Slip Conditions

2018 ◽  
Vol 11 (4) ◽  
pp. 937-945 ◽  
Author(s):  
Kaleemullah Bhatti ◽  
Zarqa Bano ◽  
Abdul Majeed Siddiqui
Keyword(s):  
Radial Velocity ◽  
Stokes Flow ◽  
Slip Parameter ◽  
Governing Equations ◽  
Slip Conditions ◽  
Unsteady Stokes Flow ◽  
Flow Through ◽  
Suction Or Injection ◽  
Similarity Method ◽  
Special Case

This work is concerned with the influence of slip conditions on unsteady stokes flow between parallel porous plates with periodic suction and injection. The obtained unsteady governing equations are solved analytically by similarity method. The characteristics of complex axial velocity and complex radial velocity for different values of parameters are analyzed. Graphical results for slip parameter reveal that it has significant influence on the axial and radial velocity profiles. The effects of suction or injection are also observed. The problem of unsteady stokes flow through porous plates with no slip is recovered as a special case of our problem.

Cattaneo–Christov heat flux model on Blasius–Rayleigh–Stokes flow through a transitive magnetic field and Joule heating

2020 ◽  
Vol 548 ◽  
pp. 123991 ◽  
Author(s):  
M. Gnaneswara Reddy ◽  
M.V. V. N.L. Sudha Rani ◽  
K. Ganesh Kumar ◽  
B.C. Prasannakumar ◽  
Ali J. Chamkha
Keyword(s):  
Magnetic Field ◽  
Heat Flux ◽  
Joule Heating ◽  
Stokes Flow ◽  
Flux Model ◽  
Flow Through ◽  
Heat Flux Model
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