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Wave Interaction with Fractured Porous Layer in Porous Medium
Lobachevskii Journal of MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gubaidullin, A. A. +2 more
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Knudsen Flow through a Porous Medium
The Physics of Fluids, 1968Rigorous 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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Convection Currents in a Porous Medium
Journal of Applied Physics, 1945The problem is considered of the convection of a fluid through a permeable medium as the result of a vertical temperature-gradient, the medium being in the shape of a flat layer bounded above and below by perfectly conducting media. It appears that the minimum temperature-gradient for which convection can occur is approximately 4π2h2μ/kgρ0α D2, where ...
Horton, C. W., Rogers, F. T. jun.
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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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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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Unsteady Flow through a Porous Medium
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1994In 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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Liquid seeping into porous medium
Heat and Mass Transfer, 2001A mathematical model is presented to describe the hydrodynamics behavior of liquid seeping into porous medium. The model takes into account the inertia and the evaporation effects. Analytical solution is obtained for the hydrodynamics behavior of the seeping process when the inertia effects are excluded and numerical solutions are obtained when these ...
M. A. Al-Nimr, M. H. Okor, S. Kiwan
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Heat Transfer Through a Porous Medium
1992In this chapter we focus on the equation that expresses the first law of thermodynamics in a porous medium. We start with a simple situation in which the medium is isotropic, and where radiative effects, viscous dissipation, and the work done by pressure changes are negligible.
Donald A. Nield, Adrian Bejan
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Transient flow through porous mediums
Journal of Geophysical Research, 1965One-dimensional transient seepage problems are analyzed. This one-dimensional approach may be considered as an approximation to the two-dimensional problem, i.e., flow from a basin of rectangular cross section having a large ratio of width to depth. Mathematically, the problem involves a free boundary value problem of potential theory; it is nonlinear.
Daniel Dicker, Walter A. Sevian
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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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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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Diffusion Through a Porous Medium
1973The principal object of this chapter is the estimation of the effective diffusion coefficient D e of a solute in a gaseous or liquid mixture when the mixture is in the presence of a suspended solid phase. Bounds on D e are calculated for an isotropic suspension whose only known statistical property is the void fraction, these are rigorously shown to be
William Strieder, Rutherford Aris
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