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A porous medium model for mud

The Journal of the Acoustical Society of America, 2021
The extended Biot model for sands and silts is repurposed to include mud, but modifications are needed. The boundary between pore water and skeletal frame needs to be redefined because a significant fraction of the pore fluid is adsorbed onto the solid frame by electrostatic forces, and a proportion of the solid particles may be suspended in the pore ...
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The Soil as a Porous Medium

1996
The soil is the upper layer of the unsaturated zone of the earth. Soils are very diverse in composition and behavior. The solid phase consists of mineral particles of various sizes and shapes and organic matter in various stages of degradation. Plant roots and the living soil population complete the system.
Bruno Yaron, René Prost, Raoul Calvet
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Frontal polymerization in a porous medium

Chemical Engineering Science, 1998
This work is devoted to mathematical modeling of frontal polymerization in porous media. It is a new method to organize the polymerization process which may have some technological advantages. In the paper we formulate a mathematical model which describes frontal polymerization in a porous medium reactor and study stationary regimes of frontal ...
Volpert, Vladimir A.   +3 more
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A porous medium for all seasons [PDF]

open access: possibleNature Energy, 2019
The answer to seasonal energy storage and security to support highly renewable power systems could lie deep under the seabed, where compressed air energy storage offers a route to long-term storage at large scales. Now, research models the potential for this in porous rock and finds a large capacity in saline aquifers offshore in the UK.
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Porous Medium Combustion [PDF]

open access: possible, 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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Superadiabatic combustion in a porous medium

International Journal of Heat and Mass Transfer, 1993
Abstract Superadiabatic combustion with reciprocating flow in a porous medium has been investigated through a numerical calculation. In this system, a combustible gas with an extremely low heat content flows into the porous medium, where the flow direction reverses regularly.
Katsunori Hanamura   +2 more
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A falling film on a porous medium

Journal of Fluid Mechanics, 2013
AbstractA gravity-driven falling film on a saturated porous inclined plane is studied via a continuum approach, where the liquid and porous layers are considered as a single composite layer. Using a weighted residual technique, a two-equation model is derived in terms of the local flow rate$q(x, t)$and the entire layer thickness$H(x, t)$.
Samanta, Arghya   +2 more
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POROUS MEDIUM MAGNETOHYDRODYNAMICS

Acta Mathematica Scientia, 1982
Abstract here we established the mathematical model of dynamics of porous solid medium saturated with compressible magneto-fluid, directly coupled the stress, flow and electromagnetic fields, studied their interactions and propagation regularity of waves and proved that there exist various P and S waves and also their mixture, which, generally ...
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Condensation in a porous medium

2001
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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Heat Transfer Through a Porous Medium

1992
In 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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