Lattice Boltzmann simulation of natural convection in an open ended cavity

Mohamad, A. A.; El-Ganaoui, M.; Bennacer, Rachid

doi:10.1016/j.ijthermalsci.2009.02.004

Cited by 116 publications

(69 citation statements)

References 13 publications

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“…4 and 5 show streamlines and isotherms, respectively, comparison between the present study and that presented by Mohamad et al [7] for Ra = 10 4 .…”

Section: Resultssupporting

confidence: 83%

“…The results are compared with the findings of Mohamad et al [7] for case (1) and of A. Haghshenas et al [4] for case (2). Tables 1 and 2 summarize the average Nusselt numbers obtained by the present work and compared with the previous literature.…”

Section: Resultsmentioning

confidence: 52%

“…Fig. 3 shows the unknown distribution function, which needs to be determined, as dotted lines [7]. Flow:…”

Section: Position Of the Problem And Boundary Conditionsmentioning

confidence: 99%

“…These kinds of cavities have special [6]. Mohamad et al [7] presented natural convection in an open ended cavity and slots, they analyzed the effect of aspect ratio of cavity on heat transfer rate. They presented a good procedure for simulating open boundaries in LBM.…”

mentioning

confidence: 99%

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Thermal Lattice Boltzmann Model for Natural Convection in an Inclined Cavity Packed with Porous Material

Abdelmalek¹,

Mohammedi²

2015

JCSE

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Abstract:In the present work, the LBM (Lattice-Boltzmann method) is used to simulate natural convection in an inclined open ended square cavity filled with porous material. The cavity is submitted to heating and cooling from two opposite sides with constant temperatures. The double-population approach is used to simulate hydrodynamic and thermal fields. The effect of a porous medium is taken into account by introducing the porosity into the equilibrium distribution function and adding a force term to the evolution equation. The Brinkman-Forchheimer equation, which includes the viscous and inertial terms, is applied to predict the heat transfer and fluid dynamics in the non-Darcy regime. The present model is validated with the previous literature. A comprehensive parametric study of natural convective flows is performed for various values of inclined angle.

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“…4 and 5 show streamlines and isotherms, respectively, comparison between the present study and that presented by Mohamad et al [7] for Ra = 10 4 .…”

Section: Resultssupporting

confidence: 83%

Section: Resultsmentioning

confidence: 52%

“…Fig. 3 shows the unknown distribution function, which needs to be determined, as dotted lines [7]. Flow:…”

Section: Position Of the Problem And Boundary Conditionsmentioning

confidence: 99%

mentioning

confidence: 99%

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Thermal Lattice Boltzmann Model for Natural Convection in an Inclined Cavity Packed with Porous Material

Abdelmalek¹,

Mohammedi²

2015

JCSE

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“…For the density distribution functions, bounce-back boundary conditions are applied on all solid boundaries, which mean that incoming boundary populations are equal to out-going populations after the collision (Mohamad et al, 2009;Mohamad and Kuzmin, 2010).…”

Section: Boundary Conditionsmentioning

confidence: 99%

Lattice Boltzmann Method for Natural Convection Flows in a Full Scale Cavity Heated from Below

Abouricha¹,

Alami²,

Kriraa³

et al. 2017

AJHMT

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In this work, we use the lattice Boltzmann method (LBM) to simulate High Rayleigh number natural convection flows in a cavity filled with air and heated from below. One of the vertical walls has a cold portion, while the other walls are adiabatic. This cavity simulates a living space with under-floor heating and fitted with a glass door (single glass). Computations are made in two dimensions for high values of Rayleigh number. The model uses the double populations approach to simulate hydrodynamic and thermal fields. The traditional LBM with a non-uniform grid has high grid requirements at higher Rayleigh number values. The results are presented in terms of streamlines and isotherms. Variation of the local Nusselt number on the walls is shown and discussed. Global heat transfer has been studied in terms of average Nusselt number which is correlated with Rayleigh number. Dimensionless profiles of temperature and velocity along the vertical and horizontal centerline are illustrated.

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A novel method to improve the efficiency of a cooking device via thermal insulation

et al. 2011

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We propose a method of finding the transient temperature variation in an insulated cooking device. We also report a means of optimising the thickness of insulation. The cooking device is a double walled cylindrical vessel with spacing of 5-20 mm between the vertical walls (width) and spacing of 560 or 870 mm between top and bottom surfaces (height). The height to width ratio (H/L) is between 28 and 174 and Rayleigh number (Ra) is between 907 and 2.61 × 10 5 . First, an energy balance for the cooking device is established. A correlation is developed to predict the heat transfer coefficient (HTC) as a function of Ra and H/L. The method developed for finding the transient variation in temperature has been tested on two cooking device volumes: 120 and 700 lit Using the optimised parameters, a reduction in heat loss of 22% and 30%, respectively, is observed.

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Lattice Boltzmann simulation of natural convection in an open ended cavity

Cited by 116 publications

References 13 publications

Thermal Lattice Boltzmann Model for Natural Convection in an Inclined Cavity Packed with Porous Material

Thermal Lattice Boltzmann Model for Natural Convection in an Inclined Cavity Packed with Porous Material

Lattice Boltzmann Method for Natural Convection Flows in a Full Scale Cavity Heated from Below

A novel method to improve the efficiency of a cooking device via thermal insulation

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