Finite amplitude convection in a porous container with fault-like geometry: Effect of initial and boundary conditions

Lowell, R. P.; Ramírez-Hernández, H.G.

doi:10.1016/0017-9310(82)90168-5

Cited by 9 publications

(6 citation statements)

References 22 publications

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“…As thoroughly describ~d in (59), (52), between these extreme cases, different two-or three-dimensional solutions exist, depending on the geometry of the lateral walls and on initial conditions (57). This question is very delicate and not yet well understood.…”

Section: The Convective Structurementioning

confidence: 96%

“…V = 0, and to the thermal conditions at the interface porous material vertical boundaries, have to be taken into account. Three cases of lateral thermal boundary conditions have been investigated: -perfectly insulating wall, A* ~.VT = 0 (35,52,53,54,55), -perfectly conducting wall, T = T(z) (55,56); -and finally, imperfectly conducting wall for which the heat conduction in the region bounding the porous zone must be taken into account (55,57).…”

Section: Natural Convection In Horizontal Porous Boxesmentioning

confidence: 99%

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Natural Convection in Porous Media

Bories

1987

Advances in Transport Phenomena in Porous Media

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When the temperature of the saturating fluid phase in a porous medium is not uniform, some flows induced by buoyancy effects may occur. Commonly called free or natural convective movements, these flows depend on density differences due to temperature gradients and boundary conditions. Generally speaking, convective movements which tend to homogenize the whole fluid volume where they take place have two main effects: produce a non-uniform insitu temperature distribu~ tion characterized by hot and cold zones, and increase the overall heat transfer.Due to its numerous applications in geophysics and energyrelated engineering problems, natural convection ili porous media has been receiving increased interest over the last few decades (1,2).In this review, we deal mainly with the presentation of fundamental results obtained through the ~tudy of this phenomena in dispersed saturated porous media. Beginning with the formulation of basic equations and boundary conditions, we then successively review:-first, the results concerning natural convection in homogeneous isotropic porous layers of wide lateral extent in horizontal or inclined positions, -second, the studies on natural convection in confined porous media, i.e., when the lateral extent of the layer is of the same order of magnitude so that the thickness and the lateral thermal boundary effects are taken into account, -and finally, the problems related to natural convection in more complex configurations, such as anisotropic porous layers or porous layers saturated by a fluid of non-constant properties.80

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Section: The Convective Structurementioning

confidence: 96%

Section: Natural Convection In Horizontal Porous Boxesmentioning

confidence: 99%

Natural Convection in Porous Media

Bories

1987

Advances in Transport Phenomena in Porous Media

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“…Murphy (1979) mentioned two different convection‐cell patterns: cells that roll about axes normal to the fracture wall (Lowell and Hernandez, 1982; Murphy, 1979), also known as finger‐flow pattern (Fig. 1a); and thermo‐siphon (Balaji and Venkatesehan, 1995; Lanchao and Amir, 1998), where convection rolls form about an axis that is parallel to the fracture strike (Fig.…”

Section: Theorymentioning

confidence: 99%

“…Th ere is some disagreement as to the exact value of Ra c (Koster and Muller, 1982;Murphy, 1979;Tournier et al, 2000) for various slot geometries, but all reported Ra c values are on the order of 40. Murphy (1979) mentioned two diff erent convection-cell patterns: cells that roll about axes normal to the fracture wall (Lowell and Hernandez, 1982;Murphy, 1979), also known as fi nger-fl ow pattern (Fig. 1a); and thermo-siphon (Balaji and Venkatesehan, 1995;Lanchao and Amir, 1998), where convection rolls form about an axis that is parallel to the fracture strike ( Fig.…”

Section: Theorymentioning

confidence: 99%

“…Previous work has typically investigated the onset of convection and focused on convection in liquid‐filled fractures (Murphy, 1979; Tournier et al, 2000). Most hydrological and geological studies have focused on liquid convection in fractures and faults (Cherkaoui and Wilcock, 1999; Lowell and Hernandez, 1982), exploring tectonic faults that were a hundred times larger than the SEFs relevant to the phenomenon discussed in this paper. The major focus of the cited studies was geothermal water in fractures with a typical temperature gradient of 3°C over 100 m (Press and Siever, 1986).…”

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confidence: 99%

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Quantifying Air Convection through Surface‐Exposed Fractures: A Laboratory Study

Nachshon

Weisbrod

Dragila

2008

Vadose Zone Journal

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Fractures in arid regions, especially within low‐permeability rocks, have a significant effect on the hydrological cycle. Recent studies have revealed large amounts of salt precipitates along fracture walls in the upper few meters of surface‐exposed fractures (SEFs). However, measured salt‐precipitation rates are far too high to be accounted for by diffusive venting of moist fracture air. An alternative mechanism that could explain enhanced evaporation from fractures is thermal convection, which also vents moist air from the fractures. This paper describes a series of experiments conducted in Hele‐Shaw chambers aimed at quantifying the potential venting capacity of air convection through natural fractures as a function of thermal gradient and fracture aperture. Using smoke to visualize air flow, we quantified air velocities, mass flux, and convection‐cell morphology as a function of Rayleigh number (Ra). Thermal differences of 0, 5, 10, and 13°C along the 50‐cm‐high Hele‐Shaw chambers and apertures of 1 and 2 cm were explored. Velocity was found to increase linearly with Ra while mass transfer increased exponentially with Ra, likely due to the concomitant increase in the number of convection cells per chamber width. For example, a thermal difference of 13°C between ambient air and chamber air for a 2‐cm aperture resulted in an increase of approximately two orders of magnitude in the mass‐transfer rate relative to pure diffusive flux (i.e., when no thermal gradient is imposed). The air‐mass‐transfer rate in the Hele‐Shaw chamber was found to be linearly proportional to the Sherwood number.

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Internal Natural Convection: Heating from Below

Nield

Bejan

2012

Convection in Porous Media

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Finite amplitude convection in a porous container with fault-like geometry: Effect of initial and boundary conditions

Cited by 9 publications

References 22 publications

Natural Convection in Porous Media

Natural Convection in Porous Media

Quantifying Air Convection through Surface‐Exposed Fractures: A Laboratory Study

Internal Natural Convection: Heating from Below

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