Numerical analysis of natural convection in a rectangular enclosure horizontally divided into fluid and porous regions

Nishimura, Tatsuo; Takumi, Toru; Shiraishi, Mitsuhiro; Kawamura, Yoshiharu; Ozoe, Hiroyuki

doi:10.1016/0017-9310(86)90184-5

Cited by 63 publications

(8 citation statements)

References 15 publications

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“…On the other hand, other researchers have investigated natural convection within cavities composed of both porous and fluid layers (Nishimura et al 1986;Beckermann et al 1987;Sathe et al 1988;Gobin et al 1998;Goyeau and Gobin 1999;Valencia-Lopez and OchoaTapia 2001;Massarotti et al 2001;Bennacer et al 2003;Gobin et al 2005). They considered the flow induced by buoyancy effects in cavities either horizontally or vertically divided into porous and fluid regions.…”

Section: Introductionmentioning

confidence: 97%

“…For those references (Nishimura et al 1986;Beckermann et al 1987;Sathe et al 1988;Valencia-Lopez and Ochoa-Tapia 2001;Massarotti et al 2001), a two-domain approach is used. While coupling the two sets of governing equations in the porous/fluid domains, usually continuities of velocity, shear stress, normal stress, pressure, temperature, and heat flux are imposed (Nishimura et al 1986;Beckermann et al 1987;Sathe et al 1988;Massarotti et al 2001). A stress jump interfacial conditions are considered by Valencia-Lopez and Ochoa-Tapia (2001) to couple the momentum equations in each domain.…”

Section: Introductionmentioning

confidence: 99%

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Natural Convection in a Cavity Filled with Porous Layers on the Top and Bottom Walls

et al. 2008

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Natural convection in a partially filled porous square cavity is numerically investigated using SIMPLEC method. The Brinkman-Forchheimer extended model was used to govern the flow in the porous medium region. At the porous-fluid interface, the flow boundary condition imposed is a shear stress jump, which includes both the viscous and inertial effects, together with a continuity of normal stress. The thermal boundary condition is continuity of temperature and heat flux. The results are presented with flow configurations and isotherms, local and average Nusselt number along the cold wall for different Darcy numbers from 10 −1 to 10 −6 , porosity values from 0.2 to 0.8, Rayleigh numbers from 10 3 to 10 7 , and the ratio of porous layer thickness to cavity height from 0 to 0.50. The flow pattern inside the cavity is affected with these parameters and hence the local and global heat transfer. A modified Darcy-Rayleigh number is proposed for the heat convection intensity in porous/fluid filled domains. When its value is less than unit, global heat transfer keeps unchanged. The interfacial stress jump coefficients β 1 and β 2 were varied from −1 to +1, and their effects on the local and average Nusselt numbers, velocity and temperature profiles in the mid-width of the cavity are investigated.

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Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Natural Convection in a Cavity Filled with Porous Layers on the Top and Bottom Walls

et al. 2008

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“…Somerton and Catton [2] studied the stability of a system consisting of a volumetrically heated porous bed overlaid with a fluid layer, heated or cooled isothermally from below. The case of a rectangular cavity, divided into fluid and porous regions, has been investigated numerically by Nishimura et al [3] using a Brinkman model. The boundary conditions at the interface between fluid and porous medium were written explicitly in stream function-vorticity form.…”

Section: Introductionmentioning

confidence: 99%

Stability of Geothermal Convection in Anisotropic River Beds

Degan¹,

Yovogan²,

Fagbémi³

et al. 2019

ENG

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The onset of thermal convection, due to heating from below in a system consisting of a fluid layer overlying a porous layer with anisotropic permeability and thermal diffusivity, is investigated analytically. The porous medium is both anisotropic in permeability whose principal axes are oriented in a direction that is oblique to the gravity vector and in thermal conductivity with principal directions coincident with the coordinate axes. The Beavers-Joseph condition is applied at the interface between the two layers. Based on parallel flow approximation theory, a linear stability analysis is conducted to study the geothermal river beds system and documented the effects of the physical parameters describing the problem. The critical Rayleigh numbers for both the fluid and porous layers corresponding, to the onset of convection arising from sudden heating and cooling at the boundaries are also predicted. The results obtained are in agreement with those found in the past for particular isotropic and anisotropic cases and for limiting cases concerning pure porous media and for pure fluid layer. It has demonstrated that the effects of anisotropic parameters are highly significant.

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“…This work was further expanded by introducing horizontal and vertical baffles by Anderson and Bejan and investigated the natural convection in a porous layer with such internal flow obstructions. Tatsuo et al numerically studied natural convection in a rectangular enclosure with horizontal division between fluid and porous regions. Chen and Lin, numerically computed natural convection in fluid and heat generating porous bed.…”

Section: Introductionmentioning

confidence: 99%

Conjugate natural convection in a fluid‐saturated porous enclosure with two solid vertical partitions

Chordiya

Sharma

2018

Heat Trans. Asian Res.

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Conjugate natural convection in a fluid‐saturated square porous enclosure with two solid vertical partitions of finite and equal thickness equispaced from center of enclosure is investigated in this paper. The primary objective is to attenuate the Nusselt number (Nu) and hence the heat transfer rate across a differentially heated enclosure. Darcy's model is considered. Numerical computation is performed using successive accelerated replacement and explicit scheme. Partition ratio, partition length, thermal conductivity ratio, and modified Rayleigh number are the parameters under study. Fluid flow is analyzed by observing transient changes of streamlines and isotherms for partition length 0.3‐1, thermal conductivity ratio 0.5‐2, partition ratio 0.1‐0.3 and modified Rayleigh number 100 and 1000 where partition ratio is the ratio of distance between center of enclosure and either of the partition center to the total length of the enclosure; while Nusselt number is calculated to estimate the heat transfer rate for each configuration. It is found that, employing a solid partition within the enclosure most definitely reduces the Nusselt number. The drop in Nusselt number is more for partition length 0‐0.6 after which it does show a drop in Nu but only very subtle. Further, Nu is the least for partition ratio 0.2. Also, Nusselt number is proportional to thermal conductivity ratio which is the ratio of thermal conductivity of solid to porous medium.

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Numerical analysis of natural convection in a rectangular enclosure horizontally divided into fluid and porous regions

Cited by 63 publications

References 15 publications

Natural Convection in a Cavity Filled with Porous Layers on the Top and Bottom Walls

Natural Convection in a Cavity Filled with Porous Layers on the Top and Bottom Walls

Stability of Geothermal Convection in Anisotropic River Beds

Conjugate natural convection in a fluid‐saturated porous enclosure with two solid vertical partitions

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