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Simulation of Fluid Flow and Heat Transfer in Inclined Cavity using Lattice Boltzmann Method
"... Abstract—In this paper, Lattice Boltzmann Method (LBM) is used to study laminar flow with mixed convection heat transfer inside a twodimensional inclined liddriven rectangular cavity with aspect ratio AR = 3. Bottom wall of the cavity is maintained at lower temperature than the top lid, and its ve ..."
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Abstract—In this paper, Lattice Boltzmann Method (LBM) is used to study laminar flow with mixed convection heat transfer inside a twodimensional inclined liddriven rectangular cavity with aspect ratio AR = 3. Bottom wall of the cavity is maintained at lower temperature than the top lid, and its vertical walls are assumed insulated. Top lid motion results in fluid motion inside the cavity. Inclination of the cavity causes horizontal and vertical components of velocity to be affected by buoyancy force. To include this effect, calculation procedure of macroscopic properties by LBM is changed and collision term of Boltzmann equation is modified. A computer program is developed to simulate this problem using BGK model of lattice Boltzmann method. The effects of the variations of Richardson number and inclination angle on the thermal and flow behavior of the fluid inside the cavity are investigated. The results are presented as velocity and temperature profiles, stream function contours and isotherms. It is concluded that LBM has good potential to simulate mixed convection heat transfer problems. Keywords—gravity, inclined lid driven cavity, lattice Boltzmann method, mixed convection. I.
EFFECT OF DISCRETE HEATER AT THE VERTICAL WALL OF THE CAVITY OVER THE HEAT TRANSFER AND ENTROPY GENERATION USING LATTICE BOLZMANN METHOD
"... 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 2D thermal lattice Boltzmann model with 9 velocities, D2Q9, is used to solve the thermal flow problem. The simulations were pe ..."
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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 2D 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. Key words: natural convection, cavity, entropy generation, lattice Boltzmann method
MIXED CONVECTION SIMULATION OF INCLINED LID DRIVEN CAVITY USING LATTICE BOLTZMANN METHOD*
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Maximum Entropy Boundaries in Lattice Boltzmann Method
"... Abstract: We propose a universal approach in the framework of the lattice Boltzmann method (LBM) to modeling constant velocity constraints and constant temperature constraints on curved walls, which doesn’t depend on dimensionality, LBM scheme, boundary geometry; which is numerically stable, accurat ..."
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Abstract: We propose a universal approach in the framework of the lattice Boltzmann method (LBM) to modeling constant velocity constraints and constant temperature constraints on curved walls, which doesn’t depend on dimensionality, LBM scheme, boundary geometry; which is numerically stable, accurate and local and has a good physical background. This technique, called a maximum entropy method, utilizes the idea of recovering unknown populations on boundary nodes through minimizing node state deviation from equilibrium while assuring velocity or temperature restrictions. Also, theoretical justifications of a popular ZouHe boundaries technique and isothermal boundaries algorithm are provided on the basis of the method derived. Finally, while conducting numerical benchmarks, typical straight boundaries algorithm (ZouHe) was
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
"... Suppression of the unsteady vortex wakes of a circular cylinder pair by a doubletlike counterrotation ..."
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Suppression of the unsteady vortex wakes of a circular cylinder pair by a doubletlike counterrotation
NANO EXPRESS Open Access Lattice Boltzmann simulation of aluminawater nanofluid in a square cavity
"... A lattice Boltzmann model is developed by coupling the density (D2Q9) and the temperature distribution functions with 9speed to simulate the convection heat transfer utilizing Al2O3water nanofluids in a square cavity. This model is validated by comparing numerical simulation and experimental resul ..."
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A lattice Boltzmann model is developed by coupling the density (D2Q9) and the temperature distribution functions with 9speed to simulate the convection heat transfer utilizing Al2O3water nanofluids in a square cavity. This model is validated by comparing numerical simulation and experimental results over a wide range of Rayleigh numbers. Numerical results show a satisfactory agreement between them. The effects of Rayleigh number and nanoparticle volume fraction on natural convection heat transfer of nanofluid are investigated in this study. Numerical results indicate that the flow and heat transfer characteristics of Al2O3water nanofluid in the square cavity are more sensitive to viscosity than to thermal conductivity. List of symbols c Reference lattice velocity c s Lattice sound velocity c p Specific heat capacity (J/kg K) e a Lattice velocity vector f a Density distribution function f � eq Local equilibrium density distribution function F a External force in direction of lattice velocity g Gravitational acceleration (m/s 2) G Effective external force k Thermal conductivity coefficient (Wm/K) L Dimensionless characteristic length of the square cavity
Article TwoDimensional Lattice Boltzmann for Reactive Rayleigh–Bénard and Bénard–Poiseuille Regimes
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Original scientific paper
"... A numerical investigation of the twodimensional laminar flow and heat transfer a rotating circular cylinder with uniform planar shear, where the freestream velocity varies linearly across the cylinder using multirelaxationtime lattice Boltzmann method is conducted. The effects of variation of R ..."
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A numerical investigation of the twodimensional laminar flow and heat transfer a rotating circular cylinder with uniform planar shear, where the freestream velocity varies linearly across the cylinder using multirelaxationtime lattice Boltzmann method is conducted. The effects of variation of Reynolds number, rotational speed ratio at shear rate 0.1, blockage ratio 0.1, and Prandtl number 0.71 are studied. The Reynolds number changing from 50 to 160 for three rotational speed ratios of 0, 0.5, and 1 is investigated. Results show that flow and heat transfer depends significantly on the rotational speed ratio as well as the Reynolds number. The effect of Reynolds number on the vortexshedding frequency and periodsurface Nusselt numbers is overall very strong compared with rotational speed ratio. Flow and heat conditions characteristics such as lift and drag coefficients, Strouhal number, and Nusselt numbers are studied.