Analysis of momentum and energy transfer in a lid-driven cavity filled with a porous medium

Al-Amiri, Abdalla M.

doi:10.1016/s0017-9310(99)00391-9

Cited by 105 publications

(44 citation statements)

References 11 publications

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“…The simple rectangular geometry is often considered for analyzing the momentum transport processes inside the cavity filled with a porous material (Al-amiri 2000). Most of the existing studies in the literature (Khanafer and Chamkha 1999;Shankar and Deshpande 2000;Khanafer and Vafai 2002;Oztop and Dagtekin 2004) on lid-driven flows have been dedicated to situations where the ratio of the cavity depth to width is unity one, and have not shown the evolution of recirculating cells.…”

Section: Introductionmentioning

confidence: 99%

“…In this case, the governing equation is the Darcy-Brinkman equation (Howells 1974). However, Al-amiri (2000) pointed out that the Darcy-Brinkman equation overpredicts the horizontal velocity due to omission of inertial effects. Subsequently, the inclusion of the inertial effects aids in providing a better simulation of the momentum transport process of the actual problem at hand.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of Momentum Transfer in a Lid-Driven Cavity Containing a Brinkman–Forchheimer Medium

2011

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The CE/SE (the space-time conservation element and solution element method) scheme with the second-order accuracy has been proposed. And the pretreatment method has been introduced to convert the parabolic equations to the hyperbolic equations, which are accurately solved by the CE/SE method. The lid-driven rectangular cavity containing a porous Brinkman-Forchheimer medium is studied in this numerical investigation. The Brinkman-Forchheimer equation is used such that both the inertial and viscous effects are incorporated. The governing equations are solved by the improved CE/SE approach. The characteristics of the flow are analyzed with emphasis on the influence of the Darcy number and the cavity depth. It is found that the porous medium effect decreases both the strength and the number of eddies, especially for deep cavities.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analysis of Momentum Transfer in a Lid-Driven Cavity Containing a Brinkman–Forchheimer Medium

2011

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“…Researchers have studied the concept from various perspectives. For example, Kaviany [1], Nield and Bejan [2], Vafai [3].Analysis of momentum and energy transfer in a lid-driven cavity filled with a porous medium is investigated numerically by Al-Amiri [4]. Aydan et al [5] studied numerically the steady, laminar mixed convection heat transfer from an is flux vertical impermeable plate embedded in a fluid-saturated porous medium.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic Mixed Convection in a Lid- Driven Porous Square Cavity with Internal Heat Generating Elliptic Block

Bhuiyan

Munshi

2018

GANIT: J. Bangladesh Math. Soc.

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Hydrodynamic mixed convection in a lid-driven porous square cavity with internal heat generating elliptic block is numerically simulated in this paper by employing finite element method. The working fluid is assigned as air with a Prandtl number of 0.71 throughout the simulation. The top lid moves left to right at a constant speed ( )with cold temperature and while the bottom lid moves right to left at a constant speed (− ) with hot temperature. The left wall is heated while the right wall is linearly heated and heat generating elliptic block is placed at the center of square cavity. The effects of governing parameters in the present study are namely, Rayleigh number Ra, Darcy number Da, Grash of number Gr. The effects of heat generation and the porosity of the medium on the streamlines, isotherms, temperature profiles, velocity field and average Nusselt numbers are presented in graphical and tabular forms and discussed. An optimum combination of the governing parameters would result in higher heat transfer. Moreover, it is observed that both the Darcy number and moving lid ordination have significant effects on the flow and thermal fields in the enclosure.

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“…Thus, the present work is the first attempt at studying on that research area under the above mentioned thermal conditions and geometry. However, the problem can be easily extended to the case when the inertia effects have to be incorporated (Al-Amiri [31]). …”

Section: Introductionmentioning

confidence: 99%

Visualization of natural convection heat transport using heatline method in porous non-isothermally heated triangular cavity

Varol¹,

Öztop²,

Mobedi³

et al. 2008

International Journal of Heat and Mass Transfer

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Analysis of momentum and energy transfer in a lid-driven cavity filled with a porous medium

Cited by 105 publications

References 11 publications

Analysis of Momentum Transfer in a Lid-Driven Cavity Containing a Brinkman–Forchheimer Medium

Analysis of Momentum Transfer in a Lid-Driven Cavity Containing a Brinkman–Forchheimer Medium

Hydrodynamic Mixed Convection in a Lid- Driven Porous Square Cavity with Internal Heat Generating Elliptic Block

Visualization of natural convection heat transport using heatline method in porous non-isothermally heated triangular cavity

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