An efficient smoothed profile-lattice Boltzmann method for the simulation of forced and natural convection flows in complex geometries

Hu, Yang; Li, Decai; Shu, Shi; Niu, Xiaodong

doi:10.1016/j.icheatmasstransfer.2015.05.030

Cited by 30 publications

(14 citation statements)

References 56 publications

(20 reference statements)

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“…Thus, it has been successfully implemented to predict the flow structures and heat transfers in enclosures of different shapes [10][11][12]. But its performances are even more remarkable in the simulation of natural convection in the annulus between a rectangular enclosure and a cylinder of circular cross-section [13][14][15][16][17][18][19][20], square cross-section [21][22][23], or elliptical cross-section [24]. However, one finds in the literature many other numerical works that treated the natural convection in such geometries by using the NavierStokes equations [25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure

Moutaouakil

Zrikem

Abdelbaki

2017

Mathematical Problems in Engineering

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Laminar natural convection in a water filled square enclosure containing at its center a horizontal hexagonal cylinder is studied by the lattice Boltzmann method. The hexagonal cylinder is heated while the walls of the cavity are maintained at the same cold temperature. Two orientations are treated, corresponding to two opposite sides of the hexagonal cross-section which are horizontal (case I) or vertical (case II). For each case, the results are presented in terms of streamlines, isotherms, local and average convective heat transfers as a function of the dimensionless size of the hexagonal cylinder cross-section (0.1≤B≤0.4), and the Rayleigh number (103≤Ra≤106).

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Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure

Moutaouakil

Zrikem

Abdelbaki

2017

Mathematical Problems in Engineering

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“…Finally, the velocity, temperature, and concentration fields are corrected by considering the interaction between the particle and the fluid as follows:

bold-italicu ((), boldx, t) = u^{*} ((), boldx, t) + \frac{normalΔ t}{2 ρ ((), boldx, t)} f_{s} ((), boldx, t),

bold-italicT ((), boldx, t) = T^{*} ((), bold-italicx, t) + \frac{normalΔ t}{2} q_{T} ((), boldx, t),

bold-italicC ((), boldx, t) = C^{*} ((), bold-italicx, t) + \frac{normalΔ t}{2} q_{C} ((), boldx, t),

where u * ( x , t ), T * ( x , t ), and C * ( x , t ) are the intermediate velocity, temperature, and concentration, respectively . The particle velocity ( u p ( x , t )) can be calculated by

u_{p} ((), boldx, t) = \sum_{i = 1}^{N_{p}} φ_{i} ((), boldx, t) ([], V_{i} ((), t) + ω_{i} ((), t) \times ((), boldx - R_{i})),

where N p and R i are the number of particles and the center position of the i th particle, respectively.…”

Section: Numerical Implementationmentioning

confidence: 99%

“…where 0 = 4 9 , 1−4 = 1 9 , and 4−8 = 1 36 . The macroscopic properties such as density and velocity fields can be determined by Equations (8)…”

Section: Flow Fieldmentioning

confidence: 99%

“…where u * (x, t), T * (x, t), and C * (x, t) are the intermediate velocity, temperature, and concentration, respectively. 36 The particle velocity (u p (x, t)) can be calculated by…”

Section: Spm For Flow Temperature and Concentration Fieldsmentioning

confidence: 99%

“…The width and height of the container were 16 cm and 40 cm, respectively (Figure 2). The diameter of the particle was 1 cm (ie, 16 lu) and the initial position of the particle was (8,36) cm. The Prandtl and thermal Grashof numbers were equal to 1 and 100, respectively.…”

Section: The Isothermal/nonisothermal Circular Particle Settling In Amentioning

confidence: 99%

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Integrating thermal‐concentration smoothed profile with lattice Boltzmann methods for simulating sedimentation of nonisothermal circular particles

Safa

Goharrizi

Javaran

et al. 2019

Numerical Methods in Fluids

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Summary A thermal‐concentration smoothed profile‐lattice Boltzmann method is proposed to study the effect of the concentration field on the dynamic behavior of nonisothermal cylindrical particles during the sedimentation process. The velocity, temperature, and concentration equations are solved using the lattice Boltzmann method. Moreover, the smoothed profile method is employed to enforce the nonslip boundary condition as well as constant temperature and constant concentration boundary conditions at the particles surfaces. Moreover, the Boussinesq approximation is used to couple the velocities, temperatures, and concentrations fields. The proposed combined method is validated by comparing the present numerical results with those found in the literature, showing good consistency. Then, the effect of the concentration buoyancy on the behavior of nonisothermal particles is discussed. In addition, the effect of Prandtl, Schmidt, and thermal Grashof numbers on the settling process is investigated. The results show that, by adding the effect of concentration, the maximum settling velocity of hot particles is reduced more relative to the cold ones; accordingly, the cold particles are settled faster than the hot ones. Finally, the sedimentation of two particles in a container at high thermal Grashof is investigated. It is shown that, at high thermal Grashof, there is an intense competition between the buoyancy force and gravity for the hot particles. The buoyancy flow generated leads to the reversal of the drafting‐kissing‐tumbling motion of the hot particles, making the particles move upward.

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Conjugate Natural Convection-Surface Radiation in a Square Cavity with an Inner Elliptic Body

Moutaouakil

Boukendil

Zrikem

et al. 2020

Innovations in Smart Cities Applications Edition 3

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An efficient smoothed profile-lattice Boltzmann method for the simulation of forced and natural convection flows in complex geometries

Cited by 30 publications

References 56 publications

Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure

Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure

Integrating thermal‐concentration smoothed profile with lattice Boltzmann methods for simulating sedimentation of nonisothermal circular particles

Conjugate Natural Convection-Surface Radiation in a Square Cavity with an Inner Elliptic Body

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