Natural convection heat transfer in an inclined porous layer

Inaba, Hideo; Sato, Masahiro; Blumenberg, J.

doi:10.1016/0017-9310(88)90246-3

Cited by 23 publications

(4 citation statements)

References 18 publications

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“…The mean Nusselt number increases with inclination angle from 0°to about 36°and then decreases monotonically to 90°, indicating that the maximum average Nusselt number is located at θ = 36°. These results are in agreement with the experimental data of Inaba et al (1988) which were obtained using water-glass spheres with an aspect ratio Α = 5.…”

Section: Effect Of Inclination Angle Of the Cavitysupporting

confidence: 92%

“…Table II compares the experimental data of Inaba et al (1988) for the average Nusselt number with the present numerical solutions obtained using four (T h * -T c * )/α e υ f . The symbol VPWD represents results based on variable porosity with dispersion effect, and VPND represents those of variable porosity without dispersion effect.…”

Section: Comparisons With Experimental Resultsmentioning

confidence: 96%

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Natural convection in an inclined porous cavity with variable porosity and thermal dispersion effects

Hsiao

1998

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Section: Effect Of Inclination Angle Of the Cavitysupporting

confidence: 92%

Section: Comparisons With Experimental Resultsmentioning

confidence: 96%

Natural convection in an inclined porous cavity with variable porosity and thermal dispersion effects

Hsiao

1998

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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“…Moya et al [4], Caltagirone and Bories [5], and Báez and Nicolás [6] also studied the same cases. An experimental study of natural convective heat transfer in inclined porous layer by Inaba et al [7]. In their studies, a tall rectangular cavity has been used.…”

Section: Introductionmentioning

confidence: 99%

Double-Diffusive of Natural Convection in an Inclined Porous Square Domain Generalized Model

Al‐Farhany

Turan

2019

QJES

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Numerical investigate of double-diffusive natural convection in an inclined porous square. Two opposing walls of the square cavity are adiabatic; while the other walls are, kept at constant concentrations and temperatures. The Darcy–Forchheimer–Brinkman model is used to solve the governing equations with the Boussinesq approximation. A code written in FORTRAN language developed to solve the governing equations in dimensionless forms using a finite volume approach with a SIMPLER algorithm. The results presented in U-velocity and V-velocity, isotherms, iso-concentration, streamline, the average Nusselt number, and the average Sherwood number for different values of the dimensionless parameters. A wide range of these parameters have been used including; Darcy Number, modified Rayleigh number, Lewis number, buoyancy ratio, and inclination angle. The results show that for opposite buoyancy ratio (N≤-1), the Nu decreases when the Le increases and the Sh increase when the Le increases. For an (N>0), the Nu increases when the Le increases until Le is equal to 1 and then it decreases, also Sh increases when the Le increases

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“…Their results indicated that at all angles of inclination, the mean heat transfer rate across the divided cavity with the porous medium has been very much less than that across an undivided fluid filled with cavity. Inaba et al (1988) conducted an experimental study of natural convection heat transfer in an rectangular cavity heated from side and filled with porous medium. They concluded that the contribution of d/H on Nusselt number has been remarked in a small θ and the contribution of L/H has been significant near θ = 90°.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of natural convection in an inclined porous enclosure using non-Darcian flow model

Mohamed

2019

HFF

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Purpose A thoroughly literature review reveals that considerable attention have been given only to the two common cases, i.e. enclosure heated from below and heated from the side. For the inclined layer, on the other hand, the numbers of investigations are relatively small. Therefore, this paper aims to investigate the natural convective heat transfer in an inclined porous cavity using non-Darcian flow model, including the boundary surface and inertia effects. Design/methodology/approach The flow characteristics have been assumed to be two-dimensional, steady, incompressible flow, whereas the properties of porous media have been considered to be homogeneous and isotropic properties solid matrix. The non-Darcian flow model, including the boundary surface and inertia effects, has been numerically solved using finite difference method. Findings The initiation of multicellular flow and counter-rotating cell are strongly dependent on the aspect ratio A and the inclination angle θ. The orientation of the porous cavity, for a given Ra*, Fs/Pr* and A, has a significant effect on the heat transfer rate. The results also indicated that A has a dominant effect on the Nusselt number. The Nusselt number is strongly dependent on the Ra*, Fs/Pr*, A and θ. Therefore, operating conditions and geometry of the porous enclosure are required to be properly designed to achieve the desired objective. Originality/value The developed model can reveal the non-Darcian effects on the fluid flow and heat transfer in inclined porous media under natural convection case.

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Natural convection heat transfer in an inclined porous layer

Cited by 23 publications

References 18 publications

Natural convection in an inclined porous cavity with variable porosity and thermal dispersion effects

Natural convection in an inclined porous cavity with variable porosity and thermal dispersion effects

Double-Diffusive of Natural Convection in an Inclined Porous Square Domain Generalized Model

Numerical investigation of natural convection in an inclined porous enclosure using non-Darcian flow model

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