Steady-state mode interactions in the presence of 𝑂(2)-symmetry and in nonflux boundary value problems

1986 ◽  
pp. 53-68 ◽  
Author(s):  
G. Dangelmayr ◽  
D. Armbruster
Keyword(s):  
Steady State ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Steady State Mode ◽  
Mode Interactions

On Steady-State Filtration of Fluid in Strip-Like and Wedge-Shaped Porous Ground Bases

2014 ◽  
Vol 1020 ◽  
pp. 373-378
Author(s):  
Suren M. Mkhitaryan ◽  
H.V. Tokmajyan ◽  
S.A. Avetisyan ◽  
M.S. Grigoryan
Keyword(s):  
Steady State ◽  
Boundary Value Problems ◽  
Integral Equations ◽  
Vertical Velocity ◽  
Boundary Value ◽  
Integral Transforms ◽  
Plane Boundary ◽  
Filtration Theory

In statement of the steady-state filtration theory and within the framework of the Darcy`s law plane boundary value problems for the strip-like and wedge-shaped porous ground base are considered when through some system of segments on one face of the base the fluid with a certain vertical velocity or with a certain pressure is injected inside the base. These solutions are reduced to integral equations by means of integral transforms.

On One Class of Boundary Value Problems of the Steady-State Filtration Theory in Porous Grounds

2014 ◽  
Vol 1020 ◽  
pp. 367-372
Author(s):  
Suren M. Mkhitaryan ◽  
H.V. Tokmajyan
Keyword(s):  
Steady State ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Filtration Theory ◽  
Steady State Flow ◽  
Fluid Filtration ◽  
Flow Rates ◽  
Piecewise Constant ◽  
Coefficient Of Filtration ◽  
The Ideal

:In the framework of Darcy's law of filtration the investigation results of one class of boundary value problems of the steady-state filtration theory in porous ground base are presented. The plane mixed bounadry value problems on the structural analysis of hydrotechnical con­struction of dam type on filtrating ground base in the form of a layer of finite or infinite thickness are considered. The coefficient of filtration is assumed to be constant, piecewise constant, or changing by the depth of base according to the exponential law, the property of anisotropy of filtration is also taken into account. Axis-symmetric and three-dimentional boundary value problems of the theory of steady-state fluid filtration in a three-dimentional layer of a finite or infinite thickness are discussed. These problems are of the type of Lamb well-known hydrodynamic problems in the theory of steady-state flow of the ideal fluid, when through the circular or rectangular openeing of a rigid screen on the upper bound of the layer the liquid with a definite vertical velocity or with a definite pressure is injected into porous ground base. Here, the fields of velocities and pressures in the layer, as well as flow rates of liquid through the certain sections of the ground base are determined.

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