Axisymmetric Stokes flow through a circular orifice in a tube

2005 ◽  
Vol 17 (5) ◽  
pp. 053602 ◽  
Author(s):  
Jae-Tack Jeong ◽  
Sung-Ryul Choi
Keyword(s):  
Stokes Flow ◽  
Circular Orifice ◽  
Flow Through

Cavitating Orifice: Flow Regime Transitions and Low Frequency Sound Production

2005 ◽  
Author(s):  
Philippe Testud ◽  
Avraham Hirschberg ◽  
Pierre Moussou ◽  
Yves Aure´gan
Keyword(s):  
Sound Production ◽  
Low Frequency ◽  
Broadband Noise ◽  
Detailed Data ◽  
Hydraulic Conditions ◽  
Circular Orifice ◽  
Vapor Cloud ◽  
Orifice Flow ◽  
Flow Through ◽  
Regime Transitions

Detailed data are provided for the broadband noise in a cavitating pipe flow through a circular orifice in water. Experiments are performed under industrial conditions, i.e., with a pressure drop varying from 3 to 30 bars and a cavitation number in the range 0.10 ≤ σ ≤ 0.77. The speed of sound downstream of the orifice happens to vary spontaneously for a given set of hydraulic conditions. In the intermediate ‘developed cavitation’ regime, whistling associated with periodic vortex shedding is observed. In the ‘super cavitation’ regime, a vapor cloud develops itself and the whistling disappears. The broadband noise in each regime is presented and its dimensionless representation is discussed.

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

Creeping Flow Through an Axisymmetric Sudden Contraction or Expansion

2001 ◽  
Vol 124 (1) ◽  
pp. 273-278 ◽  
Author(s):  
Sourith Sisavath ◽  
Xudong Jing ◽  
Chris C. Pain ◽  
Robert W. Zimmerman
Keyword(s):  
Pressure Drop ◽  
Expansion Ratio ◽  
Excess Pressure ◽  
Creeping Flow ◽  
Numerical Studies ◽  
Equivalent Length ◽  
Sudden Contraction ◽  
Circular Orifice ◽  
Flow Through ◽  
Infinite Wall

Creeping flow through a sudden contraction/expansion in an axisymmetric pipe is studied. Sampson’s solution for flow through a circular orifice in an infinite wall is used to derive an approximation for the excess pressure drop due to a sudden contraction/expansion in a pipe with a finite expansion ratio. The accuracy of this approximation obtained is verified by comparing its results to finite-element simulations and other previous numerical studies. The result can also be extended to a thin annular obstacle in a circular pipe. The “equivalent length” corresponding to the excess pressure drop is found to be barely half the radius of the smaller tube.

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.

Stokes flow of a rotating sphere around the axis of a circular orifice or a circular disk

1995 ◽  
Vol 11 (4) ◽  
pp. 307-317 ◽  
Author(s):  
Feng Jianjun ◽  
Zhang Benzhao ◽  
Wu Wangyi
Keyword(s):  
Stokes Flow ◽  
Circular Disk ◽  
Rotating Sphere ◽  
Circular Orifice
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