scholarly journals Slightly compressible Forchheimer flows in rotating porous media

2021 ◽  
Vol 62 (7) ◽  
pp. 073101
Author(s):  
Emine Celik ◽  
Luan Hoang ◽  
Thinh Kieu
Keyword(s):  
Porous Media ◽  
Slightly Compressible ◽  
Rotating Porous Media

Double diffusion in rotating porous media under general boundary conditions

2012 ◽  
Vol 55 (9-10) ◽  
pp. 2412-2419 ◽  
Author(s):  
Paolo Falsaperla ◽  
Andrea Giacobbe ◽  
Giuseppe Mulone
Keyword(s):  
Porous Media ◽  
Boundary Conditions ◽  
Double Diffusion ◽  
General Boundary ◽  
General Boundary Conditions ◽  
Rotating Porous Media

Finite Amplitude Convection in Rotating Porous Media

2003 ◽  
Author(s):  
Johnathan J. Vadasz ◽  
Saneshan Govender
Keyword(s):  
Porous Media ◽  
Finite Amplitude ◽  
Amplitude Analysis ◽  
Linear Effect ◽  
Porous Layers ◽  
Wide Range ◽  
Non Linear ◽  
Convection Patterns ◽  
Detailed Nature ◽  
Rotating Porous Media

The linear stability of centrifugally induced convection in rotating porous layers suggests a wide range of possible convective solutions. While the linear solutions indicate possible convective regimes and flow details, it is the non-linear effect that eventually establishes the detailed nature of the convection patterns. The latter is accounted for in a finite amplitude analysis. The results of the finite amplitude analysis via the weak non-linear theory are presented here with the aim to assist in selecting between these solutions and providing further analytical detail on the nature of convection.

Steady-state axisymmetric flows of an incompressible fluid through rotating porous media with regard to the Coriolis force

2017 ◽  
Vol 52 (5) ◽  
pp. 678-681
Author(s):  
N. E. Leont’ev ◽  
A. V. Smikhovskii
Keyword(s):  
Porous Media ◽  
Steady State ◽  
Incompressible Fluid ◽  
Coriolis Force ◽  
Rotating Porous Media

A macroscopic model for slightly compressible gas slip-flow in homogeneous porous media

2014 ◽  
Vol 26 (5) ◽  
pp. 053102 ◽  
Author(s):  
D. Lasseux ◽  
F. J. Valdes Parada ◽  
J. A. Ochoa Tapia ◽  
B. Goyeau
Keyword(s):  
Porous Media ◽  
Slip Flow ◽  
Macroscopic Model ◽  
Slightly Compressible ◽  
Homogeneous Porous Media ◽  
Compressible Gas

scholarly journals A two-pressure model for slightly compressible single phase flow in bi-structured porous media

2013 ◽  
Vol 96 ◽  
pp. 55-70 ◽  
Author(s):  
Cyprien Soulaine ◽  
Yohan Davit ◽  
Michel Quintard
Keyword(s):  
Porous Media ◽  
Single Phase ◽  
Phase Flow ◽  
Single Phase Flow ◽  
Slightly Compressible

scholarly journals Non-Field Analytical Method for Filtration of Slightly Compressible Fluid through Porous Media with Stagnation Areas

2021 ◽  
Author(s):  
Vladimir Kulish ◽  
Michal Schmirler ◽  
Pavel Sláma
Keyword(s):  
Integral Equation ◽  
Porous Media ◽  
Compressible Fluid ◽  
Analytical Method ◽  
Integral Operators ◽  
Filtration Problem ◽  
Slightly Compressible ◽  
Unsteady Filtration ◽  
Fractional Orders ◽  
Pressure Evolution

Abstract In this study the method of Kulish has been used to derive a non-field solution of the equation, which models the process of unsteady filtration of a slightly compressible fluid within a domain consisting of both flow and stagnation areas under the influence of some pressure distribution at the boundary. The solution relates the local values of pressure and the corresponding pressure gradient and is valid everywhere within the domain including the boundary. The solution thus obtained is in the form of a series with respect to generalised differ-integral operators of fractional orders. The solution has been compared with the know solution of the filtration problem with no stagnation areas. Finally, an integral equation to estimate the pressure evolution at the boundary for a given filtration speed has been proposed.

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