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The mathematical model of gas flowing in porous medium based on the homogenization method [PDF]
E3S Web of Conferences, 2021 Considered the characteristics of porous medium in the coal seam and goaf, in order to reflect the accurately influence of various porous media against the gas flow, the mathematical model of discrete multi-scale network and macroscopic flow, CFCM (Coal ...
Xiong Wei
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The Thermal Performance Analysis of an Al2O3-Water Nanofluid Flow in a Composite Microchannel
Nanomaterials, 2022 Partial filling of porous medium insert in a channel alleviates the tremendous pressure drop associated with a porous medium saturated channel, and enhances heat transfer at an optimum fraction of porous medium filling.
Mirza Farrukh Baig +2 more
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Boundary Value Problems, 2023 In this research article we focus on the study of existence of global solution for a three-dimensional fractional Porous medium equation. The main objectives of studying the fractional porous medium equation in the corresponding critical function spaces ...
Muhammad Zainul Abidin, Muhammad Marwan
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Numerical study of the process of unsteady flow in a three-layer porous medium
Magazine of Civil Engineering, 2023 The unsteady fluid flow in a three-layer porous medium is numerically investigated and is an important and topical problem. An analytical solution of the equation for the pressure fluid layer is obtained on the basis of the theory of elastic regime ...
Ravshanov Normahmad +3 more
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Fluctuation-Dissipation Theorems for Multiphase Flow in Porous Media
Entropy, 2021 A thermodynamic description of porous media must handle the size- and shape-dependence of media properties, in particular on the nano-scale. Such dependencies are typically due to the presence of immiscible phases, contact areas and contact lines.
Dick Bedeaux, Signe Kjelstrup
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Mathematics, 2021 In this paper, we consider the generalized porous medium equation. For small initial data u0 belonging to the Fourier-Besov-Morrey spaces with variable exponent, we obtain the global well-posedness results of generalized porous medium equation by using ...
Muhammad Zainul Abidin, Jiecheng Chen
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Numerical simulation of the advection-diffusion-reaction equation using finite difference and operator splitting methods: Application on the 1D transport problem of contaminant in saturated porous media [PDF]
E3S Web of Conferences, 2022 The combined advection-diffusion-reaction (ADR) equation, which describe the transport problem of a contaminant in porous medium, does not generally admit an analytical solution.
El Arabi Inasse +2 more
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Acoustics of Fractal Porous Material and Fractional Calculus
Mathematics, 2021 In this paper, we present a fractal (self-similar) model of acoustic propagation in a porous material with a rigid structure. The fractal medium is modeled as a continuous medium of non-integer spatial dimension.
Zine El Abiddine Fellah +4 more
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From Darcy Equation to Darcy Paradox
Fluids, 2022 This theoretical paper focuses on the single-phase fluid flow through a granular porous medium. The emphasis is on the Darcy flow regime (without free boundary) of a linear viscous fluid in a saturated, deformable, homogeneous porous medium. The approach
Carmine Di Nucci, Daniele Celli
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On the Wave Turbulence Theory for the Nonlinear Schrödinger Equation with Random Potentials
Entropy, 2019 We derive new kinetic and a porous medium equations from the nonlinear Schrödinger equation with random potentials. The kinetic equation has a very similar form compared to the four-wave turbulence kinetic equation in the wave turbulence theory ...
Sergey Nazarenko +2 more
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