Convection with Change of Phase

Nield, D. A.; Bejan, Adrian

doi:10.1007/978-1-4614-5541-7_10

Cited by 2 publications

(4 citation statements)

References 258 publications

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“…The filtration velocity should be derived from the Darcy law (Darcy 1856). In the presence of gravity the Darcy law for the incompressible fluid is described as follows (Nield and Bejan 2012):…”

Section: Solutal Convection In Porous Media With Immobilization and C...mentioning

confidence: 99%

“…Within the framework of the Boussinesq approximation it is assumed that and Bejan 2012), where r f is the density of the carrier fluid (pure fluid without solute) and b c is the coefficient of concentration expansion. The Boussinesq approximation is based on a strong dependence of the buoyancy force on the density variation.…”

Section: Solutal Convection In Porous Media With Immobilization and C...mentioning

confidence: 99%

“…In porous media the immobile solute occupies some part of the pore space, which essentially decreases the porosity of the medium. In the case of a small variation of porosity the permeability of porous media can be described by a single-valued monotonically increasing function of porosity (Nield and Bejan 2012). The permeability of media decreases with increasing immobile solute concentration.…”

Section: Introductionmentioning

confidence: 99%

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The linear stability of vertical mixture seepage into the close porous filter with clogging

Maryshev¹

2016

Fluid Dyn. Res.

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In the present paper, filtration of a mixture through a close porous filter is considered. A heavy solute penetrates from the upper side of the filter into the filter body due to seepage flow and diffusion. In the presence of heavy solute a domain with a heavy fluid is formed near the upper boundary of the filter. The stratification, at which the heavy fluid is located above the light, is unstable. When the mass of the heavy solute exceeds the critical value, one can observe the onset of instability. As a result, two regimes of vertical filtration can occur:(1) homogeneous seepage and (2) convective filtration. Filtration of a mixture in porous media is a complex process. It is necessary to take into account the solute immobilization (or sorption) and clogging of porous medium. We consider the case of low solute concentrations, in which the immobilization is described by the linear MIM (mobile/immobile media) model. The clogging is described by the dependence of permeability on porosity in terms of the Carman-Kozeny formula. The presence of immobile (or adsorbed) particles of the solute decreases the porosity of media and porous media becomes less permeable. The purpose of the paper is to find the stability conditions for the homogeneous vertical seepage of the mixture into the close porous filter. The linear stability problem is solved using the quasi-static approach. The critical times of instability are estimated. The stability maps have been plotted in the space of system parameters. The applicability of quasi-static approach is substantiated by direct numerical simulation.

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Section: Solutal Convection In Porous Media With Immobilization and C...mentioning

confidence: 99%

Section: Solutal Convection In Porous Media With Immobilization and C...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The linear stability of vertical mixture seepage into the close porous filter with clogging

Maryshev¹

2016

Fluid Dyn. Res.

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“…Due to the above applications, convective heat transfer in the rectangular/square saturated porous enclosures have received extensive attention in past decades. A thorough review and extensive bibliography on natural convection in porous cavities can be found in [1,2] and Ingham and Pop [3] chipped in to an extensive overview of this important area of heat transfer in porous media. There are many published studies related to natural convection in rectangular porous enclosures [4][5][6][7][8][9][10][11] which are available in the literature.…”

Section: Introductionmentioning

confidence: 99%

Influence of Insulated Rectangular Block on Natural Convection Heat Transfer within Porous Enclosure

Faghiri

Aybar

Egelioğlu

2013

AMM

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Numerical study has been performed to investigate the influence of rectangular block on mean Nusselt number of hot wall in a square cavity of porous media. Top and bottom walls are insulated and the right and left walls are cold and hot, respectively, at constant temperature which are heated differentially assuaging a steady condition. 4 distinct cases are introduced regarding the block position: The block at the bottom/top edge with variable distance from the hot wall and the block at the middle edge of bottom/top with variable height. Mean Nusselt numbers are normalized with the simple case of no insulated block. Results show a significant dependence of mean Nusselt on the block position. It also affects the dimensionless time to reach a steady status..

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Convection with Change of Phase

Cited by 2 publications

References 258 publications

The linear stability of vertical mixture seepage into the close porous filter with clogging

The linear stability of vertical mixture seepage into the close porous filter with clogging

Influence of Insulated Rectangular Block on Natural Convection Heat Transfer within Porous Enclosure

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