Results 11 to 20 of about 3,201,741 (356)
A fractional porous medium equation [PDF]
Advances in Mathematics, 2010 We develop a theory of existence, uniqueness and regularity for a porous medium equation with fractional diffusion, $\frac{\partial u}{\partial t} + (-\Delta)^{1/2} (|u|^{m-1}u)=0$ in $\mathbb{R}^N$, with $m>m_*=(N-1)/N$, $N\ge1$ and $f\in L^1(\mathbb{R}^
de Pablo, Arturo +3 more
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Mechanisms of dispersion in a porous medium [PDF]
Journal of Fluid Mechanics, 2017 This paper studies the mechanisms of dispersion in the laminar flow through the pore space of a three-dimensional porous medium. We focus on preasymptotic transport prior to the asymptotic hydrodynamic dispersion regime, in which solute motion may be ...
M. Dentz, Matteo Icardi, J. Hidalgo
semanticscholar +7 more sources
Porous medium equation with nonlocal pressure [PDF]
, 2018 We provide a rather complete description of the results obtained so far on the nonlinear diffusion equation $u_t=\nabla\cdot (u^{m-1}\nabla (-\Delta)^{-s}u)$, which describes a flow through a porous medium driven by a nonlocal pressure.
A. K. Head +38 more
core +2 more sources
System of porous medium equations [PDF]
Journal of Differential Equations, 2018 We investigate the evolution of population density vector, $\bold{u}=\left(u^1,\cdots,u^k\right)$, of $k$-species whose diffusion is controlled by its absolute value $\left|\bold{u}\right|$. More precisely we study the properties and asymptotic large time behaviour of solution $\bold{u}=\left(u^1,\cdots,u^k\right)$ of degenerate parabolic system \begin{
Sunghoon Kim, Ki-ahm Lee
semanticscholar +5 more sources
Dynamics of osmosis in a porous medium [PDF]
Royal Society Open Science, 2014 We derive from kinetic theory, fluid mechanics and thermodynamics the minimal continuum-level equations governing the flow of a binary, non-electrolytic mixture in an isotropic porous medium with osmotic effects. For dilute mixtures, these equations are linear and in this limit provide a theoretical basis for the widely used semi-empirical
Silvana S. S. Cardoso +1 more
openaire +7 more sources
Pushing Droplet Through a Porous Medium. [PDF]
Transp Porous Media, 2022 AbstractI use a mechanical model of a soft body to study the dynamics of an individual fluid droplet in a random, non-wettable porous medium. The model of droplet relies on the spring–mass system with pressure. I run hundreds of independent simulations. I average droplets trajectories and calculate the averaged tortuosity of the porous domain.
Matyka M.
europepmc +5 more sources
Modeling Immiscible Fluid Displacement in a Porous Medium Using Lattice Boltzmann Method
Fluids, 2021 The numerical investigation of the interpenetrating flow dynamics of a gas injected into a homogeneous porous media saturated with liquid is presented.
Magzhan Atykhan +3 more
doaj +1 more source
Salt crystallisation at the surface of a heterogeneous porous medium [PDF]
, 2012 Evaporation of saline solutions from a porous medium often leads to the precipitation of salt at the surface of the porous medium. It is commonly observed that the crystallized salt does not form everywhere at the porous medium surface but only at some ...
Marcoux, Manuel +2 more
core +2 more sources
Frontiers in Chemistry, 2020 This study numerically investigates a two-dimensional physical model of methane/air mixture combustion in catalytic and non-catalytic porous media.
H. B. Gao +4 more
doaj +1 more source
Development of a high performance flexible porous burner (FPMB) with an adjustable cooling effect
Theoretical and Applied Mechanics Letters, 2017 A high performance flexible porous medium burner that can burn gaseous and liquid fuel with different type of flames (premixed and non-premixed) is proposed.
S. Juntron, S. Jugjai
doaj +1 more source