Viscous Flow Past a Quarter-Infinite Plate

1961 ◽  
Vol 28 (1) ◽  
pp. 1-10 ◽  
Author(s):  
K. STEWARTSON
Keyword(s):  
Viscous Flow ◽  
Infinite Plate ◽  
Flow Past

Viscous flow past circular cylinders

1973 ◽  
Vol 1 (1) ◽  
pp. 59-71 ◽  
Author(s):  
F. Nieuwstadt ◽  
H.B. Keller
Keyword(s):  
Viscous Flow ◽  
Circular Cylinders ◽  
Flow Past

Flow past periodic arrays of spheres at low Reynolds number

1997 ◽  
Vol 335 ◽  
pp. 189-212 ◽  
Author(s):  
HONGWEI CHENG ◽  
GEORGE PAPANICOLAOU
Keyword(s):  
Reynolds Number ◽  
Viscous Flow ◽  
Small Volume ◽  
Volume Fraction ◽  
Periodic Array ◽  
Periodic Arrays ◽  
Flow Past ◽  
Random Array ◽  
Single Sphere ◽  
Small Volume Fraction

We calculate the force on a periodic array of spheres in a viscous flow at small Reynolds number and for small volume fraction. This generalizes the known results for the force on a periodic array due to Stokes flow (zero Reynolds number) and the Oseen correction to the Stokes formula for the force on a single sphere (zero volume fraction). We use a generalization of Hasimoto's approach that is based on an analysis of periodic Green's functions. We compare our results to the phenomenological ones of Kaneda for viscous flow past a random array of spheres.

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