Lattice Boltzmann Method Combined with the Smoothed Profile Method for the Simulation of Particulate Flows with Heat Transfer

Alapati, Suresh; Seong, Woo; Ahn, Ji Hyeon

doi:10.1080/01457632.2017.1421296

Cited by 8 publications

(8 citation statements)

References 49 publications

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“…Here, f n (x, t) is the probability of finding a fluid particle at a lattice position, x, and at a time, t, moving with a discrete velocity, c n (the subscript n indicates the PDF number), which is selected in such a way that after time step ∆t, the particle arrives at the n th neighboring grid point [21]. The single-relaxation-time lattice Boltzmann equation (LBE) with external body force term is given by [37]…”

Section: Solving Fluid Flow Using Lbmmentioning

confidence: 99%

“…Because of its many advantages [15] compared to the classical Navier-Stokes equations solvers, LBM has been successfully used to simulate various Multiphysics problems such as multiphase flows [15][16][17], magnetohydrodynamic (MHD) flows [18,19], micro-and nano-flows [20][21][22] and fluid-solid interactions [13,[23][24][25][26]. LBM has also been successfully implemented to predict the behavior of the fluid flow due to natural convection in complex geometries [27][28][29][30][31][32][33][34][35][36][37]. In the above-mentioned research works on natural convection, the following techniques have been used to handle the no-slip and constant temperature BC on complex irregular surfaces: the bounce back (BB) scheme [27][28][29][30][31][32], IBM [33][34][35], and SPM [36,37].…”

Section: Introductionmentioning

confidence: 99%

“…LBM has also been successfully implemented to predict the behavior of the fluid flow due to natural convection in complex geometries [27][28][29][30][31][32][33][34][35][36][37]. In the above-mentioned research works on natural convection, the following techniques have been used to handle the no-slip and constant temperature BC on complex irregular surfaces: the bounce back (BB) scheme [27][28][29][30][31][32], IBM [33][34][35], and SPM [36,37].…”

Section: Introductionmentioning

confidence: 99%

“…All the above-mentioned research works [27][28][29][30][31][32][33][34][35][36] considered the double populations model (DPM) (where two sets of PDF are used: one set for solving the velocity field and another one for the temperature field). Recently, Alapati et al [37] developed a numerical technique based on the combination of LBM and SPM to simulate particulate flows with heat transfer. They used a hybrid method (HM), which solves the fluid flow by LBM with a set of PDF and the temperature field by FDM and concluded that LBM-SPM method based on HM is computationally more efficient than the method based on DPM.…”

Section: Introductionmentioning

confidence: 99%

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Simulation of Natural Convection in a Concentric Hexagonal Annulus Using the Lattice Boltzmann Method Combined with the Smoothed Profile Method

Alapati

2020

Mathematics

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This research work presents results obtained from the simulation of natural convection inside a concentric hexagonal annulus by using the lattice Boltzmann method (LBM). The fluid flow (pressure and velocity fields) inside the annulus is evaluated by LBM and a finite difference method (FDM) is used to get the temperature filed. The isothermal and no-slip boundary conditions (BC) on the hexagonal edges are treated with a smooth profile method (SPM). At first, for validating the present simulation technique, a standard benchmarking problem of natural convection inside a cold square cavity with a hot circular cylinder is simulated. Later, natural convection simulations inside the hexagonal annulus are carried out for different values of the aspect ratio, AR (ratio of the inner and outer hexagon sizes), and the Rayleigh number, Ra. The simulation results are presented in terms of isotherms (temperature contours), streamlines, temperature, and velocity distributions inside the annulus. The results show that the fluid flow intensity and the size and number of vortex pairs formed inside the annulus strongly depend on AR and Ra values. Based on the concentric isotherms and weak fluid flow intensity at the low Ra, it is observed that the heat transfer inside the annulus is dominated by the conduction mode. However, multiple circulation zones and distorted isotherms are observed at the high Ra due to the strong convective flow. To further access the accuracy and robustness of the present scheme, the present simulation results are compared with the results given by the commercial software, ANSYS-Fluent®. For all combinations of AR and Ra values, the simulation results of streamlines and isotherms patterns, and temperature and velocity distributions inside the annulus are in very good agreement with those of the Fluent software.

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Section: Solving Fluid Flow Using Lbmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Simulation of Natural Convection in a Concentric Hexagonal Annulus Using the Lattice Boltzmann Method Combined with the Smoothed Profile Method

Alapati

2020

Mathematics

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“…By using the existing combination method, the conjugate interface condition for the temperature field was implemented. Recently, a hybrid LBM‐SPM was proposed by Alapati et al to simulate the fluid flow and heat transfer in particle laden flows. The flow field and temperature distribution were computed by LBM and the FDM, respectively.…”

Section: Introductionmentioning

confidence: 99%

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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Investigation of double-diffusive mixed convection effect on the particles dissolution in the shear flow using coupled SPM–LBM

Safa

Goharrizi

Jafari

et al. 2020

J Therm Anal Calorim

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Lattice Boltzmann Method Combined with the Smoothed Profile Method for the Simulation of Particulate Flows with Heat Transfer

Cited by 8 publications

References 49 publications

Simulation of Natural Convection in a Concentric Hexagonal Annulus Using the Lattice Boltzmann Method Combined with the Smoothed Profile Method

Simulation of Natural Convection in a Concentric Hexagonal Annulus Using the Lattice Boltzmann Method Combined with the Smoothed Profile Method

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

Investigation of double-diffusive mixed convection effect on the particles dissolution in the shear flow using coupled SPM–LBM

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