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Knudsen Flow through a Porous Medium

The Physics of Fluids, 1968
Rigorous bounds on the permeability of a porous medium to Knudsen flow are formulated by applying the variational procedure of DeMarcus. The bounds are expressed in terms of certain averages characterizing the random-pore geometry. Explicit calculations are given for a model pore structure generated from randomly overlapped spheres.
Strieder, W. C., Prager, Stephen
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The onset of convection in a bidisperse porous medium

International Journal of Heat and Mass Transfer, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuznetsov, A. V., Nield, D. A.
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Darcy's Law for a Heterogeneous Porous Medium

Journal of Porous Media, 2001
Summary: We consider slow flow of Newtonian fluid through a spatially varying porous medium. Applying the method of homogenization to a heterogeneous porous medium possessing a microscopic locally periodic structure, we are able to derive an appropriate form of Darcy's law.
Neto, F. Moura, Melo, S. T.
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Porous Medium Combustion

1990
I shall study a model of porous medium combustion, derived by Norbury and Stuart [1], restricting attention to the class of travelling wave solutions. Under this simplifying assumption the model reduces to a fifth—order system of coupled, nonlinear ordinary differential equations with a discontinuous forcing term (this corresponds to the reaction rate ...
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A Note on the Solute Dispersion in a Porous Medium

Bulletin of the Malaysian Mathematical Sciences Society, 2017
In this paper we study the solute transport through a semi-infinite channel filled with a fluid saturated sparsely packed porous medium. A small perturbation of magnitude $\varepsilon$ is applied on the channel's walls on which the solute particles undergo a first-order chemical reaction. The effective model for solute concentration in the small--P\'{;
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The Porous Medium Equation

2006
Abstract The heat equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood.
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Condensation in a porous medium

2009
One-dimensional, steady-state heat and mass transfer with phase change are studied, for a two-phase zone in a water-saturated porous medium. A model problem for the saturation and fluid pressures is formulated, and an explicit temperature dependence for the saturation vapour pressure, together with an explicit saturation dependence for the capillary ...
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Unsteady Flow through a Porous Medium

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1994
In the context of unsteady boundary layer flows in porous media, we study the effect of free-stream oscillation on the motion of the fluid in the medium, when the free-stream velocity is of the form \(U(x,t) = U_ 0(x) \cos \omega t\).
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Investigation on H2/air combustion with C3H8 addition in the combustor with part/full porous medium

Energy Conversion and Management, 2021
Hongpeng Xu, Jiaqiang E, Peng Qingguo
exaly  

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