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Helical locomotion in a porous medium
Physical Review E, 2020Microorganisms and artificial microswimmers often need to swim through environments that are more complex than purely viscous liquids in their natural habitats or operational environments, such as gel-like mucus, wet soil, and aquifers. The question of how the properties of these complex environments affect locomotion has attracted considerable recent ...
Ye Chen +3 more
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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 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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Drag forces of porous-medium acoustics
Physical Review B, 1993The drag forces controlling the amount of relative flow induced in a fluid-saturated porous material by a mechanical wave are modeled here from first principles. Specifically, analytical expressions for the drag are derived for material models that possess variable-width pores; i.e., pores that have widths that vary with distance along their axis.
, Pride, , Morgan, , Gangi
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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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