Lattice-Boltzmann modelling of natural convection in an inclined square enclosure with partitions attached to its cold wall

Mezrhab, Ahmed; Jami, Mohammed; Abid, C.; Bouzidi, M.; Lallemand, Pierre

doi:10.1016/j.ijheatfluidflow.2005.11.002

Cited by 63 publications

(27 citation statements)

References 20 publications

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“…LBM is a vigorous numerical method, based on the kinetic theory to simulate fluid flow and heat transfer [24,25]. Unlike the classical macroscopic approach (NavierStokes) the lattice Boltzmann is a mesoscopic model to simulate flow field [25,26]. In this approach, the fluid domain is made discrete in uniform Cartesian cells, each one of which holds a fixed number of distribution functions (DF) that represent the number of fluid particles moving in these discrete directions.…”

Section: Lattice Boltzmann Methodsmentioning

confidence: 99%

Taguchi design of three dimensional simulations for optimization of turbulent mixed convection in a cavity

Alinejad

Esfahani

2016

Meccanica

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This study discusses the application of Taguchi method in assessing maximum heat transfer rate for the turbulent mixed convection in an enclosure embedded with rotating isothermal cylinder. The simulations were planned based on Taguchi's L16 orthogonal array with each trial performed under different conditions of position of the cylinder, Reynolds number (Re) and Rayleigh number (Ra). The thermal lattice Boltzmann based on D3Q19 methods without any turbulent submodels was purposed to simulate the flow and thermal fields. A relaxation time method with the stability constants is introduced to solve turbulent natural convection problems. Signal-to-noise ratios (S/N) analysis were carried out in order to determine the effects of process parameters and optimal factor settings. Finally, confirmation tests verified that Taguchi method achieved optimization of heat transfer rate with sufficient accuracy.

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Section: Lattice Boltzmann Methodsmentioning

confidence: 99%

Taguchi design of three dimensional simulations for optimization of turbulent mixed convection in a cavity

Alinejad

Esfahani

2016

Meccanica

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“…The LBM is derived from lattice gas methods and can be regarded as a first-order explicit discretization of the Boltzmann equation in phase space. This is a powerful numerical technique, based on kinetic theory, for simulating fluid flow [19,22,23] and heat transfer [24,25]. It has many advantages in comparison with conventional computational fluid dynamics (CFD) methods.…”

Section: Lattice Boltzmann Methodsmentioning

confidence: 99%

Numerical Stabilization of Three-Dimensional Turbulent Natural Convection Around Isothermal Cylinder

Alinejad

Esfahani

2016

Journal of Thermophysics and Heat Transfer

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This paper investigates fluid flow and turbulent natural convection heat transfer in an enclosure embedded with an isothermal cylinder. A relaxation time method with the stability constants is introduced to solve natural convection problems. The thermal lattice Boltzmann based on D2Q9 and D3Q19 methods without any turbulent models was purposed to simulate the flow and thermal fields. The effects of high Rayleigh number on the fluid flow and heat transfer analysis have been investigated for different geometric aspect ratios. The flow behaviors and the average rate of heat transfer in terms of the Nusselt number Nu have effectively changed by different controlling parameters such as Rayleigh number (10 3 ≤ Ra ≤ 10 9 ) and aspect ratio (0.5 ≤ AR ≤ 2). The present results provide a good approximation for choosing effective parameters of designing the thermal system.

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“…1). After introducing Bhatnagar--Gross-Krook approximation, the general form of lattice Boltzmann equation with external force can be written as [14,22]:…”

Section: The Lattice Boltzmann Methodsmentioning

confidence: 99%

“…The advantages of LBM, in comparison with the conventional computational fluid dynamics (CFD) methods, include simple calculation procedure, easy and robust handling of complex geometries, simple and efficient implementation for parallel computation, and others [12, 16, and 17]. Several natural convection, 2-D and 3-D, problems have been simulated successfully with the different thermal lattice Boltzmann models or other Boltzmann-based schemes [18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Effect of discrete heater at the vertical wall of the cavity over the heat transfer and entropy generation using LBM

Delavar¹,

Farhadi²,

Sedighi³

2011

THERM SCI

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In this paper lattice Boltzmann method was employed for investigation the effect of the heater location on flow pattern, heat transfer and entropy generation in a cavity. A 2-D thermal lattice Boltzmann model with 9 velocities, D2Q9, is used to solve the thermal flow problem. The simulations were performed for Rayleigh numbers from 10 3 to 10 6 at Pr = 0.71. The study was carried out for heater length of 0.4 side wall length which is located at the right side wall. Results are presented in the form of streamlines, temperature contours, Nusselt number, and entropy generation curves. Results show that the location of heater has a great effect on the flow pattern and temperature fields in the enclosure and subsequently on entropy generation. The dimensionless entropy generation decreases at high Rayleigh number for all heater positions. The ratio of averaged Nusselt number and dimensionless entropy generation for heater located on vertical and horizontal walls was calculated. Results show that higher heat transfer was observed from the cold walls when the heater located on vertical wall. On the other hand, heat transfer increases from the heater surface when it is located on the horizontal wall.

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Lattice-Boltzmann modelling of natural convection in an inclined square enclosure with partitions attached to its cold wall

Cited by 63 publications

References 20 publications

Taguchi design of three dimensional simulations for optimization of turbulent mixed convection in a cavity

Taguchi design of three dimensional simulations for optimization of turbulent mixed convection in a cavity

Numerical Stabilization of Three-Dimensional Turbulent Natural Convection Around Isothermal Cylinder

Effect of discrete heater at the vertical wall of the cavity over the heat transfer and entropy generation using LBM

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