Surfactant-induced stagnant zones in the Jeong-Moffatt free surface Stokes flow problem

2013 ◽  
Vol 25 (9) ◽  
pp. 092104 ◽  
Author(s):  
Darren G. Crowdy
Keyword(s):  
Free Surface ◽  
Stokes Flow ◽  
Flow Problem

Two Adjoint-Based Optimization Approaches for a Free Surface Stokes Flow

2011 ◽  
Vol 71 (6) ◽  
pp. 2168-2184 ◽  
Author(s):  
Sabine Repke ◽  
Nicole Marheineke ◽  
René Pinnau
Keyword(s):  
Free Surface ◽  
Stokes Flow

Nonlinear Aspects of Subcritical Shallow-Water Flow Past Two-Dimensional Obstructions

1978 ◽  
Vol 22 (04) ◽  
pp. 203-211
Author(s):  
Nils Salvesen ◽  
C. von Kerczek
Keyword(s):  
Free Surface ◽  
Shallow Water ◽  
Flow Problem ◽  
Free Stream ◽  
The Body ◽  
Two Dimensional ◽  
Third Order ◽  
Submerged Body ◽  
The Mean ◽  
The Waves

Some nonlinear aspects of the two-dimensional problem of a submerged body moving with constant speed in otherwise undisturbed water of uniform depth are considered. It is shown that a theory of Benjamin which predicts a uniform rise of the free surface ahead of the body and the lowering of the mean level of the waves behind it agrees well with experimental data. The local steady-flow problem is solved by a numerical method which satisfies the exact free-surface conditions. Third-order perturbation formulas for the downstream free waves are also presented. It is found that in sufficiently shallow water, the wavelength increases with increasing disturbance strength for fixed values of the free-stream-Froude number. This is opposite to the deepwater case where the wavelength decreases with increasing disturbance strength.

Free surface and flow problem for a viscous liquid

2011 ◽  
Vol 113 (4) ◽  
pp. 709-713
Author(s):  
M. L. Zaytsev ◽  
V. B. Akkerman
Keyword(s):  
Free Surface ◽  
Viscous Liquid ◽  
Flow Problem
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