Solution of Equations of a One-Dimensional Problem on Two-Phase Filtration in a Porous Medium with Account of Thermodynamical Effects by Using Geometric Methods

2020 ◽  
Vol 248 (4) ◽  
pp. 385-391
Author(s):  
I. A. Boronin ◽  
A. A. Shevlyakov
Keyword(s):  
Porous Medium ◽  
Dimensional Problem ◽  
Two Phase ◽  
One Dimensional ◽  
Geometric Methods ◽  
Solution Of Equations

Homogenization of two-phase immiscible flows in a one-dimensional porous medium

1994 ◽  
Vol 9 (4) ◽  
pp. 359-380 ◽  
Author(s):  
Alain Bourgeat ◽  
Andro Mikelić
Keyword(s):  
Porous Medium ◽  
Two Phase ◽  
One Dimensional ◽  
Immiscible Flows

A similarity problem of a porous material drying

2008 ◽  
Vol 6 ◽  
pp. 75-81
Author(s):  
D.Ye. Igoshin
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Gas Mixture ◽  
Dimensional Problem ◽  
Vapor Mixture ◽  
Initial State ◽  
One Dimensional ◽  
Similarity Problem ◽  
Self Similar ◽  
Similar Solutions

The plano-one-dimensional problem of heat and mass transfer is considered when a porous semi-infinite material layer dries. At the boundary, which is permeable for the gas-vapor mixture, the temperature and composition of the gas are kept constant. Self-similar solutions are set describing the propagation of the temperature field and the moisture content field arising when heat is supplied. The intensity of dry flows is studied, depending on the initial state of the wet-porous medium, as well as the temperature and concentration composition of the vapor-gas mixture at the boundary of the porous medium.

scholarly journals Flow Simulation in a combined Region

2021 ◽  
Vol 264 ◽  
pp. 01016
Author(s):  
Umurdin Dalabaev
Keyword(s):  
Experimental Data ◽  
Porous Medium ◽  
Flow Simulation ◽  
Two Dimensional ◽  
Dimensional Problem ◽  
Heterogeneous Model ◽  
One Dimensional ◽  
Free Zone ◽  
Porous Framework ◽  
The One

The article deals with the flow in a complex area. The composition of this region consists of a porous medium through the pores of which the liquid moves and a zone without a porous framework (free zone). The flow is modeled using an interpenetrating heterogeneous model. In the one-dimensional case, an analytical solution is obtained. This solution is compared with the solution learned by the move node method. An analysis is made with experimental data with a Brinkman layer. A numerical solution of a two-dimensional problem is also obtained.

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