Transient free convection in a square cavity filled with a porous medium

Saeid, Nawaf H.; Pop, Ioan

doi:10.1016/j.ijheatmasstransfer.2003.10.014

Cited by 105 publications

(52 citation statements)

References 8 publications

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“…For low Darcy and particle Reynolds numbers, the viscous drag and inertia terms in the governing equations can be neglected (Bejan and Kraus 2003;Ingham and Pop 2005;Nield and Bejan 2006). Under these assumptions, the continuity, Darcy and energy equations for unsteady natural convection flow in a square cavity filled with an isotropic and homogenous porous medium can be expressed as [Bejan and Kraus (2003), Ingham and Pop (2005), Nield and Bejan (2006), Saeid and Pop (2004)]…”

Section: Formulation and Analysismentioning

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%

“…Banu et al (1998) have considered the transient natural convection flow for a heat-generating porous cavity with all four walls maintained at a constant temperature. Saeid and Pop (2004) have studied the transient natural convection in a square cavity filled with a porous medium, where prior to the time t = 0 there is no motion in the cavity and all the walls of the cavity are at uniform temperature T 0 and at t = 0 one of its vertical walls is suddenly heated and the other wall is suddenly cooled and the horizontal walls are adiabatic. Recently, Aldabbagh et al (2007) experimentally studied the transient problem similar to that of Saeid and Pop (2004) in a rectangular enclosure with aspect ratio A = H/L = 0.67 and Darcy-modified Rayleigh numbers between 285 and 9 × 10 4 .…”

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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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: Formulation and Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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“…These studies provide good understanding for various applications such as circulation in cardiovascular system, design of solar collectors and electrical cooling systems. Saeid and Pop [1] studied transient free convection in a porous square cavity. The average Nusselt number is undershooting during transient period, but constant value is obtained at steady state.…”

Section: Introductionmentioning

confidence: 99%

Effect of wall inclination on natural convection in a porous trapezoidal cavity

Cheong

Sivasankaran

Siri

2014

AIP Conference Proceedings

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“…Saeid and Pop [2004] studied the transient evolution for Rayleigh numbers with values of 10 2 − 10 4 in a square cavity, and reported the final time when the steady state is reached.…”

Section: Introductionmentioning

confidence: 99%

Natural convection fluid flow and heat transfer in porous media

Báez¹,

Nicolás²

2007

JOMMS

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Natural convection and heat transfer of fluid flow are studied numerically inside a rectangular cavity with inclination filled with a porous medium. The mass and momentum equations are given by the Darcy equations coupled with the thermal energy equation through the unsteady Boussinesq approximation. The two-dimensional restriction in terms of the stream function and vorticity variables is considered. The study is analyzed in terms of several values of the parameters that determine the evolution of the flow: the Rayleigh Number, the aspect ratio of the cavity and the angle of inclination.

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Transient free convection in a square cavity filled with a porous medium

Cited by 105 publications

References 8 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

Effect of wall inclination on natural convection in a porous trapezoidal cavity

Natural convection fluid flow and heat transfer in porous media

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