[图书][B] Convection in porous media

DA Nield, A Bejan - 2006 - Springer
By a porous medium we mean a material consisting of a solid matrix with an interconnected
void. We suppose that the solid matrix is either rigid (the usual situation) or it undergoes …

A study of continuous dependence and symmetric properties of double diffusive convection: forchheimer model

AH Ali, GA Meften, O Bazighifan, M Iqbal, S Elaskar… - Symmetry, 2022 - mdpi.com
In this recent work, the continuous dependence of double diffusive convection was studied
theoretically in a porous medium of the Forchheimer model along with a variable viscosity …

Coupled hydromechanical and electromagnetic disturbances in unsaturated porous materials

A Revil, H Mahardika - Water resources research, 2013 - Wiley Online Library
A theory of cross‐coupled flow equations in unsaturated soils is necessary to predict (1)
electroosmotic flow with application to electroremediation and agriculture,(2) the …

Mechanics of fluid flow through a porous medium

DA Nield, A Bejan, DA Nield, A Bejan - Convection in porous media, 2017 - Springer
By a porous medium we mean a material consisting of a solid matrix with an interconnected
void. We suppose that the solid matrix is either rigid (the usual situation) or it undergoes …

Global–local nonlinear model reduction for flows in heterogeneous porous media

M Alotaibi, VM Calo, Y Efendiev, J Galvis… - Computer Methods in …, 2015 - Elsevier
In this paper, we combine discrete empirical interpolation techniques, global mode
decomposition methods, and local multiscale methods, such as the Generalized Multiscale …

Continuous dependence for thermal convection in a Forchheimer-Brinkman model with variable viscosity

GA Meften, AH Ali, MT Yaseen - AIP Conference Proceedings, 2023 - pubs.aip.org
In this paper, the structural stability has been investigated in the problem of the thermal
convection in a Forchheimer-Brinkman type. The problem has been considered when the …

Structural stability of generalized Forchheimer equations for compressible fluids in porous media

L Hoang, A Ibragimov - Nonlinearity, 2010 - iopscience.iop.org
We study the generalized Forchheimer equations for slightly compressible fluids in porous
media. The structural stability is established with respect to either the boundary data or the …

Parabolic turbulence k-epsilon model with applications in fluid flows through permeable media

HB de Oliveira - Opuscula Mathematica, 2024 - opuscula.agh.edu.pl
In this work, we study a one-equation turbulence\(k\)-epsilon model that governs fluid flows
through permeable media. The model problem under consideration here is derived from the …

Continuous dependence on the reaction terms in porous convection with surface reactions

N Scott, B Straughan - Quarterly of Applied Mathematics, 2013 - ams.org
We investigate continuous dependence of the solution on the coefficients of the reaction
terms for the problem where convection in a saturated porous medium is primarily due to …

[HTML][HTML] Numerical validation of an adaptive model for the determination of nonlinear-flow regions in highly heterogeneous porous media

A Fumagalli, FS Patacchini - Mathematics and Computers in Simulation, 2025 - Elsevier
An adaptive model for the description of flows in highly heterogeneous porous media is
developed in Fumagalli and Patacchini (2022, 2023). There, depending on the magnitude of …