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Sohag Journal of Mathematics
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 11 > No. 3

 
   

Two dimensional free surface flows over submerged obstacles

PP: 29-33
Author(s)
Abdelkader Laiadi, Abdelkrim Merzougui,
Abstract
In this work, we study the problem of steady two-dimensional flows over multiple obstacles under the effects of gravity and surface tension in fluid of a constant depth, and in the presence of a uniform stream. The fluid is treated as inviscid and incompressible. The flow is assumed to be irrotational. The problem is solved numerically by using the boundary integral equation technique, based on Cauchy integral formula. It is shown that, for both supercritical and subcritical flows, solutions depend on three parameters: the Froude number F, the Weber number δ and the angles of obstacles γ and β. Finally, solution diagrams for all flow regimes are presented.

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