The Application of Flux-Corrected Transport (Fct) to High Rayleigh Number Natural Convection in a Porous Medium

Gross, R. J.; Baer, M.R.; Hickox, C. E.

doi:10.1615/ihtc8.3820

Cited by 95 publications

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“…In order to assess the accuracy of our method, we have compared the average Nusselt number (Nu) for the initial steady state (t * = = 0) on the heated vertical surface with that of Walker and Homsy (1978), Bejan (1979), Gross et al (1986), Manole and Lage (1992) and Saeid and Pop (2004). The results are found to be in good agreement except with those of Bejan (1979), where about 35% difference is observed for Ra = 10 2 , about 16% for Ra = 10 3 and about 11% for Ra = 10 4 .…”

Section: Resultsmentioning

confidence: 99%

“…The difference is about 5% at t * = 0.05 and about 9% at t * = 0.0033. Walker and Homsy (1978) 3.097 12.960 51.000 Bejan (1979) 4.200 15.800 50.800 Gross et al (1986) 3.141 13.448 42.583 Manole and Lage (1992) 3.118 13.637 48.117 Saeid and Pop (2004) 3 Ra = 870.5, 1900Ra = 870.5, (2007 The variation of the transient local Nusselt number (Nu(Y, t * )) with time t * along the hot wall of the cavity at different locations Y for Ra = 10 2 , 10 3 and 10 4 , = 0.2 is shown in Fig. 4a-c.…”

Section: Resultsmentioning

confidence: 99%

“…The computations have been carried out until a final steady state is reached. The initial steady state results are compared with those of Walker and Homsy (1978), Bejan (1979), Gross et al (1986), Manole and Lage (1992), Saeid and Pop (2004) and Aldabbagh et al (2007). It may be noted that the problem considered here is different from that of Saeid and Pop (2004) and Aldabbagh et al (2007).…”

Section: Introductionmentioning

confidence: 98%

“…Natural convection in a cavity filled with fluid saturated porous medium is encountered in several technological applications such as post-accident heat removal in nuclear reactors and underground storage of nuclear waste. In the past, the steady natural convection in a porous cavity was studied by Walker and Homsy (1978), Bejan (1979), Gross et al (1986) and Manole and Lage (1992). References on the steady natural convection flow in a rectangular porous cavity with appropriate boundary conditions on the four walls of the cavity are given in a recent article by Baytas and Pop (2002).…”

Section: Introductionmentioning

confidence: 99%

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Unsteady Natural Convection Flow in a Square Cavity Filled with a Porous Medium Due to Impulsive Change in Wall Temperature

Kumari

Nath²

2008

Transp Porous Med

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Unsteady natural convection flow in a two-dimensional square cavity filled with a porous material has been studied. The flow is initially steady where the left-hand vertical wall has temperature T h and the right-hand vertical wall is maintained at temperature T c (T h > T c ) and the horizontal walls are insulated. At time t > 0, the left-hand vertical wall temperature is suddenly raised toT h (T h > T h ) which introduces unsteadiness in the flow field. The partial differential equations governing the unsteady natural convection flow have been solved numerically using a finite control volume method. The computation has been carried out until the final steady state is reached. It is found that the average Nusselt number attains a minimum during the transient period and that the time required to reach the final steady state is longer for low Rayleigh number and shorter for high Rayleigh number.Keywords Unsteady natural convection · Square cavity · Porous medium · Sudden change in wall temperature Nomenclatures c p Specific heat at constant pressure (J kg −1 K −1 ) g Acceleration due to gravity (m s −2 ) K Permeability of the porous medium (m 2 ) k Thermal conductivity (W m −1 K −1 ) L Height/length of the cavity (m) Nu Local Nusselt number Nu Average Nusselt number Ra Rayleigh number t Time (s)

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Unsteady Natural Convection Flow in a Square Cavity Filled with a Porous Medium Due to Impulsive Change in Wall Temperature

Kumari

Nath²

2008

Transp Porous Med

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“…More applications and good understanding of the subject is given in the recent books by Nield and Bejan (2006); Vafai (2004); Pop and Ingham (2001) and Ingham and Pop (2002). Other studies can be found in the papers Walker and Homsy (1978); Gross et al (1986); Manole and Lage (1992); Bekermann et al (1986); Moya et al (1987); Baytas and Pop (1999); Misirlioglu et al (2005). In addition, in a porous medium, the volume averaged temperatures of the solid and fluid phases are generally different from one another and this is termed as local thermal non-equilibrium.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Natural Convection in Wavy Porous Cavities Under the Influence of Thermal Radiation Using a Thermal Non-equilibrium Model

et al. 2010

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Continuum equations governing thermal non-equilibrium modeling of steady natural convection inside wavy enclosures with the effect of thermal radiation are developed. These equations account for such effects as the inter-phase heat transfer coefficient effect, the thermal radiation effect, the modified conductivity ratio effect and the Rayleigh number effect. Finite difference method is employed to solve these equations and comparisons between previous published works are presented. Numerical results for the flow and heat transfer for the fluid and solid phases are obtained for various combinations of the physical parameters. Graphical and tabular results illustrating interesting features of the physics of the problem are presented and discussed.

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Analysis of Flow and Heat Transfer in a Parallelogram Non‐Uniformly Heated Enclosure Filled with Porous Medium

Soleimani

Zadeh

Asgharian

et al. 2010

Heat Trans. Asian Res.

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The flow and heat transfer in a parallelogram enclosure filled with a porous medium is analyzed numerically. The heated bottom wall has a sinusoidal temperature distribution and side walls cooled isothermally while the upper wall is well insulated. Dimensionless Darcy law and energy equations are solved using the finite difference method along with the corresponding boundary condition. Computations were carried out for four inclination angles of side walls (γ = 45°, 60°, 75°, 90°) with different Rayleigh numbers (100 ≤ Ra ≤ 1000) and their effects on the flow field and heat transfer are discussed. It is found that the inclination angle has a significant effect on flow pattern and heat transfer and an increase in the angle leads to a decrease in the strength of the right vortex. The study also revealed that as the Rayleigh number increases at γ = 45°, another (third) vortex develops along the left wall and its strength enhances with Rayleigh number. At the end, a correlation is extracted from the numerical data which represents the relation between the Nusselt number, inclination angle, and the Rayleigh number.

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The Application of Flux-Corrected Transport (Fct) to High Rayleigh Number Natural Convection in a Porous Medium

Cited by 95 publications

References 0 publications

Unsteady Natural Convection Flow in a Square Cavity Filled with a Porous Medium Due to Impulsive Change in Wall Temperature

Unsteady Natural Convection Flow in a Square Cavity Filled with a Porous Medium Due to Impulsive Change in Wall Temperature

Numerical Simulation of Natural Convection in Wavy Porous Cavities Under the Influence of Thermal Radiation Using a Thermal Non-equilibrium Model

Analysis of Flow and Heat Transfer in a Parallelogram Non‐Uniformly Heated Enclosure Filled with Porous Medium

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