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Longer titles found: Porous medium equation (view)

searching for Porous medium 75 found (114 total)

Poroelasticity (1,050 words) [view diff] exact match in snippet view article find links to article

and bulk solid deformation within a linear porous medium and it is an extension of elasticity and porous medium flow (diffusion equation). The deformation

Reservoir engineering (401 words) [view diff] exact match in snippet view article find links to article

engineering that applies scientific principles to the fluid flow through a porous medium during the development and production of oil and gas reservoirs so as

Volumetric flux (130 words) [view diff] exact match in snippet view article find links to article

the advective flux of that property. The volumetric flux through a porous medium is called superficial velocity and it is often modelled using Darcy's

Rayleigh number (1,887 words) [view diff] exact match in snippet view article find links to article

but convection can also occur when the fluid is inside and fills a porous medium, such as porous rock saturated with water. Then the Rayleigh number

Saffman–Taylor instability (1,318 words) [view diff] exact match in snippet view article find links to article

patterns in a morphologically unstable interface between two fluids in a porous medium, described mathematically by Philip Saffman and G. I. Taylor in a paper

Superficial velocity (226 words) [view diff] exact match in snippet view article find links to article

cross sectional area. Other phases, particles, the skeleton of the porous medium, etc. present in the channel are disregarded. Superficial velocity is

Morris Muskat (1,495 words) [view diff] exact match in snippet view article find links to article

generalized Darcy's law to cover multiphase flow of water, oil and gas in the porous medium of a petroleum reservoir. The generalized flow equation provides the

Agamassan (287 words) [view diff] exact match in snippet view article find links to article

above the liquid's surface. The solution was to compress acetylene in a porous medium. Before Dalén's work, numerous attempts were made to find a mass sufficiently

Nanoporous materials (1,624 words) [view diff] exact match in snippet view article find links to article

while cell membranes can be thought of as nanoporous membranes. A porous medium or a porous material is a material containing pores (voids). The skeletal

Random minimum spanning tree (466 words) [view diff] exact match in snippet view article find links to article

may be used for invasion percolation models of liquid flow through a porous medium, and for maze generation. Frieze, A. M. (1985), "On the value of a random

LNAPL transmissivity (302 words) [view diff] exact match in snippet view article find links to article

Majid Hassanizadeh define LNAPL transmissivity as the "product of the porous medium permeability and the LNAPL relative permeability, which in turn is a

Gassmann's equation (1,345 words) [view diff] exact match in snippet view article find links to article

elastic constants of an ensemble consisting of an isotropic, homogeneous porous medium with a fully connected pore space, saturated by a compressible fluid

Hele-Shaw flow (1,327 words) [view diff] exact match in snippet view article find links to article

that of the inviscid potential flow and to the flow of fluid through a porous medium (Darcy's law). It thus permits visualization of this kind of flow in

Richards equation (1,888 words) [view diff] exact match in snippet view article find links to article

problems. Considering the law of mass conservation for an incompressible porous medium and constant liquid density, expressed as ∂ θ ∂ t + ∇ ⋅ q → + S = 0

HydroGeoSphere (1,828 words) [view diff] exact match in snippet view article find links to article

codes. HydroGeoSphere assumes that the subsurface flow equation in a porous medium is always solved during a simulation, either for fully saturated or

Emmanuil B. Chekaliuk (988 words) [view diff] exact match in snippet view article find links to article

inflow from porous medium" at Lviv Polytech Inst. in 1957. A Dr.Sc. dissertation in Engineering "Some thermodynamic phenomena in porous medium and the ways

Relative permeability (2,742 words) [view diff] exact match in snippet view article find links to article

{ri}}=k_{i}/k} where k {\displaystyle k} is the permeability of the porous medium in single-phase flow, i.e., the absolute permeability. Relative permeability

Forced convection in porous media (442 words) [view diff] exact match in snippet view article find links to article

effective and efficiently. Forced convection heat transfer in a confined porous medium has been a subject of intensive studies during the last decades because

Particle deposition (1,644 words) [view diff] exact match in snippet view article find links to article

chromatographic column. The column is packed with large particles or with a porous medium to be investigated. Subsequently, the column is flushed with the solvent

Water content (2,926 words) [view diff] exact match in snippet view article find links to article

content and the water potential of the porous medium. It is characteristic for different types of porous medium. Due to hysteresis, different wetting and

List of hydrodynamic instabilities named after people (55 words) [view diff] exact match in snippet view article find links to article

H. Roberts and Keith Stewartson Saffman–Taylor instability Flow in porous medium Philip Saffman and Geoffrey Ingram Taylor Taylor–Caulfield instability

Capillary action (4,225 words) [view diff] exact match in snippet view article find links to article

the planes is hyperbola. Water between two glass plates When a dry porous medium is brought into contact with a liquid, it will absorb the liquid at

Juan Luis Vázquez Suárez (400 words) [view diff] case mismatch in snippet view article find links to article

In 2012 he became a fellow of the American Mathematical Society. The Porous Medium Equation. Mathematical Theory. Oxford University Press, ISBN 0-19-856903-3

Aquifer properties (487 words) [view diff] exact match in snippet view article find links to article

porosity is defined as the ratio of volume of voids to the total volume of porous medium. Mathematically it can be represented by the equation expressed as n

Diffusion (8,402 words) [view diff] exact match in snippet view article find links to article

the porous medium in both the flux terms and the accumulation terms. For example, as the porosity goes to zero, the molar flux in the porous medium goes

Baghir A. Suleimanov (2,988 words) [view diff] exact match in snippet view article find links to article

theory of flow of the studied systems based on the slip effect in the porous medium was developed; As a result of the statistical modeling of the life cicle

Ice lens (1,957 words) [view diff] exact match in snippet view article find links to article

which results from the surface curvature of water that's confined in a porous medium (the Gibbs-Thomson effect). Premelted water exists as a thin layer on

Diagenesis (1,457 words) [view diff] exact match in snippet view article find links to article

transformation in diagenesis, and a mathematical model in a compacting porous medium to model the dissolution-precipitation mechanism. These models have

Nonwoven fabric (2,103 words) [view diff] case mismatch in snippet view article find links to article

ISBN 952-5216-18-7. Xiang, P.; Kuznetsov, A. V.; Seyam, A. M. (2008). "A Porous Medium Model of the Hydro entanglement Process". Journal of Porous Media. 11

Anadi Sankar Gupta (591 words) [view diff] exact match in snippet view article find links to article

S2CID 95601131. A. S. Gupta, B. S. Dandapat (1982). "Thermal instability in a porous medium with random vibrations" (PDF). Acta Mechanica. 43 (1–2): 37–47. doi:10

Agricultural soil science (1,657 words) [view diff] exact match in snippet view article find links to article

don't get to absorb adequate water and nutrients are washed from the porous medium to end up in groundwater reserves. Water content: Without soil moisture

Heat equation (9,836 words) [view diff] case mismatch in snippet view article find links to article

Mathworld: Porous Medium Equation and the other related models have solutions with finite wave propagation speed. Juan Luis Vazquez (2006-12-28), The Porous Medium

Percolation theory (3,370 words) [view diff] exact match in snippet view article find links to article

of energy, but also was the main constituent of gas masks. Coal is a porous medium. To measure its 'real' density, one was to sink it in a liquid or a

Hydroentanglement (828 words) [view diff] case mismatch in snippet view article find links to article

part of PPE. Xiang, P.; Kuznetsov, Andrey V.; Seyam, A. M. (2008). "A Porous Medium Model of the Hydro entanglement Process". Journal of Porous Media. 11

Aerobic treatment system (1,376 words) [view diff] exact match in snippet view article find links to article

the difference lies in the aeration stage. Fixed film systems use a porous medium which provides a bed to support the biomass film that digests the waste

Leverett J-function (444 words) [view diff] no match in snippet view article find links to article

com/resources/fundamentals-of-fluid-flow-in-porous-media/chapter-2-the-porous-medium/multi-phase-saturated-rock-properties/averaging-capillary-pressure-

Finite water-content vadose zone flow method (1,942 words) [view diff] exact match in snippet view article find links to article

1002/2017MS000931 Wilson, J. L. (1974), Dispersive mixing in a partially saturated porous medium, PhD dissertation, 355pp., Dept. of Civil Engrg., Mass. Inst. Tech.

Naomi Chayen (656 words) [view diff] exact match in snippet view article find links to article

"Experiment and theory for heterogeneous nucleation of protein crystals in a porous medium". PNAS. 103 (3): 597–601. doi:10.1073/pnas.0504860102. PMC 1334630.

Soil moisture velocity equation (3,067 words) [view diff] exact match in snippet view article find links to article

the advance of wetting fronts for a liquid invading an unsaturated porous medium under the combined action of gravity and capillarity because it is convertible

Ice segregation (1,793 words) [view diff] exact match in snippet view article find links to article

conditions, ice and water can coexist at temperatures below -10 °C in a porous medium. The Gibbs-Thomson effect results in water migrating down a thermal

Ecohydrology (3,530 words) [view diff] exact match in snippet view article find links to article

Darcy's Law is an equation that describes the flow of a fluid through a porous medium. The law was formulated by Henry Darcy in the early 1800's when he was

Diesel particulate filter (4,143 words) [view diff] exact match in snippet view article find links to article

different types of ceramic fibers that are mixed together to form a porous medium. This medium can be formed into almost any shape and can be customized

Tasawar Hayat (835 words) [view diff] exact match in snippet view article find links to article

(2004) Hall effects on unsteady duct flow of a non-Newtonian fluid in a porous medium. Tasawar Hayat, R. Naz, Saleem Asghar: Applied Mathematics and Computation

Directed percolation (1,135 words) [view diff] exact match in snippet view article find links to article

may be interpreted as holes and randomly distributed channels of a porous medium. The difference between ordinary and directed percolation is illustrated

Pulse tube refrigerator (2,790 words) [view diff] exact match in snippet view article find links to article

the surroundings at room temperature a regenerator consisting of a porous medium with a large specific heat (which can be stainless steel wire mesh,

Otto calculus (214 words) [view diff] exact match in snippet view article find links to article

(2001-01-31). "The geometry of dissipative evolution equations: the porous medium equation". Communications in Partial Differential Equations. 26 (1–2):

Lak wettability index (875 words) [view diff] exact match in snippet view article find links to article

less than 15% pore volume (frequently less than 10%) for an oil-wet porous medium. In 2021, Abouzar Mirzaei-Paiaman investigated the validity of Craig's

Endovascular coiling (2,737 words) [view diff] exact match in snippet view article find links to article

including rigid walls (non-elastic) for vasculature, substituting a porous medium in place of physical coil representations, and navier-stokes for fluid

Hysteresis (7,544 words) [view diff] exact match in snippet view article find links to article

medium to re-wet; that is, it depends on the saturation history of the porous medium. Hysteretic behaviour means that, for example, at a matric potential

Orr–Sommerfeld equation (2,651 words) [view diff] exact match in snippet view article find links to article

laminar flow in a parallel-plate channel filled with a fluid saturated porous medium". Physics of Fluids. 17 (9): 094102–094102–6. Bibcode:2005PhFl...17i4102A

Fick's laws of diffusion (7,222 words) [view diff] case mismatch in snippet view article find links to article

from the original (PDF) on 5 February 2009. Vázquez JL (2006). "The Porous Medium Equation". Mathematical Theory. Oxford Univ. Press. Gorban AN, Sargsyan

Reactive transport modeling in porous media (1,776 words) [view diff] exact match in snippet view article find links to article

approximation to coupled mass transport and fluid-rock interaction in a porous medium. Geochemica et Cosmochemica Acta 52, 143-165 Lichtner, P.C., 1985, Contiuum

Hydroponics (9,260 words) [view diff] exact match in snippet view article find links to article

or hydroculture, is a method wherein plants are grown in an inert porous medium that moves water and fertilizer to the roots by capillary action from

Bioclogging (2,868 words) [view diff] exact match in snippet view article find links to article

"Biofilm growth and the related changes in the physical properties of a porous medium: 2. Permeability". Water Resources Research. 26 (9): 2161–2169. Bibcode:1990WRR

Sergei Ipatov (2,372 words) [view diff] exact match in snippet view article find links to article

under the influence of fluids on pore walls and their propagation in a porous medium with fluids and gases." Asteroid 14360 discovered by Eric W. Elst was

Vadim Zakharov (scientist) (1,098 words) [view diff] exact match in snippet view article

compositions, including associative ("smart") polymers, during filtration in a porous medium; creation of biodegradable polymer composites based on secondary raw

Thermoacoustics (3,171 words) [view diff] exact match in snippet view article find links to article

regenerator, three heat exchangers, and a bypass loop. A regenerator is a porous medium with a high heat capacity. As the gas flows back and forth through the

Nonthermal plasma (3,540 words) [view diff] case mismatch in snippet view article find links to article

Kuznetsov, A.V.; Brown, A.; Jasper, W. (2012). Development of Active Porous Medium Filters Based on Plasma Textiles. Porous Media and Its Applications

List of nonlinear ordinary differential equations (28 words) [view diff] exact match in snippet view article find links to article

{d^{2}y}{dx^{2}}}+2x{\frac {dy}{dx}}=0,\ 0<\alpha <1} Flow through porous medium Krogdahl equation 2 d 2 Q d τ 2 = − Q + 2 3 λ Q 2 − 14 27 λ 2 Q 3 +

Nuclear magnetic resonance in porous media (2,912 words) [view diff] exact match in snippet view article find links to article

J.; Schwartz, L.M.; Mitra, P.P. (1995), "Self-diffusion in periodic porous medium: A comparison of different approaches", Physical Review E, 51 (4): 3393–3400

Capillary pressure (4,041 words) [view diff] exact match in snippet view article find links to article

capillary pressure during the drainage of oil from an oil-saturated porous medium experiencing a gas invasion: p c g o = p t ( 1 − S o r S o − S o r )

Alexander Balankin (2,576 words) [view diff] exact match in snippet view article find links to article

Balankin & B. E. Elizarraraz (5 May 2012). "Map of fluid flow in fractal porous medium into fractal continuum flow". Physical Review E. 85 (5): 056314. Bibcode:2012PhRvE

Permeable reactive barrier (3,057 words) [view diff] exact match in snippet view article find links to article

represented by black dots; the nanoparticles have little mobility in the porous medium. Note that reaction will only occur when contaminants, either dissolved

Soil mechanics (8,954 words) [view diff] exact match in snippet view article find links to article

Darcy's law states that the volume of flow of the pore fluid through a porous medium per unit time is proportional to the rate of change of excess fluid

Hydrus (software) (2,955 words) [view diff] exact match in snippet view article

SWMII – Numerical model of two-dimensional flow in a variably saturated porous medium. Research Rep. No. 87. Dept. of Hydraulics and Catchment Hydrology.

Geostock (981 words) [view diff] exact match in snippet view article find links to article

It is the first geophysical campaign for natural gas storage in a porous medium. Geostock designs an aquifer in which natural gas is stored, in 1975

Lambert W function (11,591 words) [view diff] case mismatch in snippet view article find links to article

Analytical Method for the Motion of a Two-Phase Interface in a Tilted Porous Medium". PROCEEDINGS, Thirty-Eighth Workshop on Geothermal Reservoir Engineering

Eusideroxylon (1,897 words) [view diff] no match in snippet view article find links to article

anti-bacterial properties (for local medicinal use) Vessels are diffuse-porous, medium-sized and generally evenly distributed, arranged in short radial rows

Chebotarev RIMM (4,235 words) [view diff] exact match in snippet view article find links to article

researches on inverse boundary problems and on oil filtration through porous medium. Questions of rational development of the oil deposits that were found

Praveen Linga (2,682 words) [view diff] exact match in snippet view article find links to article

validate and report very cheap materials (sand, polyurethane foam) as a porous medium for the HBGS process with enhanced kinetics. On the fundamental level

Water-sensitive urban design (7,480 words) [view diff] exact match in snippet view article find links to article

monolithic or modular. Monolithic structures consist of a single continuous porous medium such as porous concrete or porous pavement (asphalt) while modular structures

Mean-field particle methods (8,571 words) [view diff] exact match in snippet view article find links to article

Oelschläger, Karl (1990). "Large systems of interacting particles and porous medium equation". J. Differential Equations. 88 (2): 294–346. Bibcode:1990JDE

Observational history of comets (5,769 words) [view diff] exact match in snippet view article find links to article

stratified. Such changes occur mainly as a result of gas flow through the porous medium: different volatiles – released by sublimation or crystallization of

Microbial enhanced oil recovery (5,015 words) [view diff] exact match in snippet view article find links to article

equation for the rate of diffusion of microbes and their capture by porous medium; differential balance equations for nutrient transport, including the

Rock analogs for structural geology (4,564 words) [view diff] exact match in snippet view article find links to article

"Gravity-driven flow of Herschel–Bulkley fluid in a fracture and in a 2D porous medium" (PDF). Journal of Fluid Mechanics. 821: 59–84. Bibcode:2017JFM...821