Rarefaction and external force effects on gas microflow in a lid‐driven cavity

Baliti, Jamal; Hssikou, Mohamed; Alaoui, Mohammed

doi:10.1002/htj.21369

Cited by 8 publications

(7 citation statements)

References 37 publications

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“…Accordingly, many experimental 5,6 and theoretical 7,8 efforts have been made to investigate the natural convection heat transfer over decades. Different numerical models have been also addressed as an area of great interest for studying heat transfer, which is mostly based upon the conventional Navier‐Stokes (N‐S) equations 9 …”

Section: Introductionmentioning

confidence: 99%

Study on forcing schemes in the thermal lattice Boltzmann method for simulation of natural convection flow problems

2021

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The present study addresses the effect of various schemes for applying an external force term on the accuracy and performance of the thermal lattice Boltzmann method (LBM) for simulation of free convection problems. Herein, the forcing schemes of Luo, shifted velocity method, Guo, and exact difference method are applied by considering three velocity discrete models of D2Q4, D2Q5, and D2Q9. The accuracy and performance of these schemes are evaluated with the simulation of three natural convection problems, namely, free convection in a closed cavity, in a square enclosure with a hot obstacle inside, and the Rayleigh‐Benard problem. The obtained results based on the present thermal LBM with different forcing schemes and velocity discrete models are compared with the existing experimental and numerical data in the literature. This comparison study indicates that imposing all employed forcing schemes leads to similar performance for the simulation of free convection problems studied at the middle range of Rayleigh numbers. It is found that the Luo forcing scheme is simple for implementation in comparison with the other three forcing schemes and provides the results with acceptable accuracy at moderate Rayleigh numbers. At higher Rayleigh numbers, however, the Guo scheme is not only numerically stable but a more precise forcing scheme in comparison with the other three methods. It is illustrated that employing the discrete velocity model of D2Q4 has more appropriate numerical stability along with less computational cost in comparison with two other discrete velocity models for simulation of natural convection heat transfer.

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Section: Introductionmentioning

confidence: 99%

Study on forcing schemes in the thermal lattice Boltzmann method for simulation of natural convection flow problems

2021

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“…Lid-driven cavity flow is one of the classical benchmark problems of computational fluid dynamics (CFD) [2][3][4][5]. Such flow has been analyzed by various computational methods like the Navier-Stokes-Fourier equations (NSF) [6,7], Direct Simulation Monte Carlo (DSMC) [7][8][9][10] and moment equations approach [6,10,11].…”

Section: Introductionmentioning

confidence: 99%

“…The main simulation parameters are the Knudsen number (Kn) and the tangential momentum accommodation coefficient σ (TMAC). Unlike the DSMC method which needs a long computation time to give satisfactory results [28] and the extended macroscopic theory, like regularized 13 moment (R13), which the range of validity is limited [6,29], the MRT-LBM proved its effectiveness for rarefied gas simulation.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of Gas Microflow within a Triangular Lid-driven Cavity

Elguennouni¹,

Hssikou²,

Baliti³

et al. 2020

Adv. sci. technol. eng. syst. j.

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A rarefied gas flow is modeled inside two cases of triangular lid-driven microcavity using single (SRT) and multi-relaxation time (MRT) lattice Boltzmann approaches. In the first one, the right angle is in the top-left corner and the upper wall moves with positive horizontal velocity. However, in the second case, the right angle is in the bottom-left corner and the bottom wall moves with negative horizontal velocity. Unlike the classical form of square cavities, widely treated in the literature, the triangular form has a diagonal wall that affects the flow motion. At the moving wall, diffuse scattering boundary condition (DSBC) is employed while at the stationary sides, a combination of bounce-back and specular reflection boundary conditions (BSBC) is used. The computations are primarily performed in the slip and early transition regimes. The rarefaction effect, given by the Knudsen number (Kn) value, on the profiles of velocity components, is examined for both approaches. This study proves that for the higher values of Kn, the SRT-LBM approach cannot provide accurate results, particularly, near the inclined wall. However, the MRT-LBM approach confirms its validity even in the transition regime. A comparison with Direct Simulation Monte Carlo (DSMC) results for horizontal velocity contours shows the efficiency of the MRT-LBM approach than the SRT-LBM one which breaks down for rarefied flows.

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“…The difference between them lies in the relations for higher order moments [8,9]. It has been shown that all variants are well applicable for numerical modelling of the moderately rarefied slow gas flows and allow the modelling of main nonequilibrium effects in low-velocity micro-flow problems [10,11,12,13,14,15,16,17] and some moderately rarefacted supersonic flows [5,18,19,15,20,21,22]. The difficulty is that the solid wall boundary conditions for R13 equations were obtained from one of the variants [10] which is not applicable to near hypersonic flows [9].…”

Section: Introductionmentioning

confidence: 99%

R13 moment equations applied to supersonic flow with solid wall interaction

Timokhin¹,

Struchtrup²,

Kokhanchik³

et al. 2019

31st International Symposium on Rarefied Gas Dynamics: Rgd31

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R13 moment set of equations is the regularization of original Grad 13-moment system. Several variants of R13 equations were presented after the first publication. The difference between them lies in the relations for higher order moments. It has been shown that all variants are well applicable for numerical modelling of the moderately rarefied slow gas flows and allow the modelling of main nonequilibrium effects in micro-flow problems. The difficulty is that the solid wall boundary conditions for R13 equations were obtained from one of the variants which is not applicable to near hypersonic flows. This study is devoted to the demonstration of the numerical results of R13 linear and nonlinear variants for supersonic flow over the flat plate. The R13 numerical solutions are compared with DSMC results computed by the SMILE++ software system.

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Rarefaction and external force effects on gas microflow in a lid‐driven cavity

Cited by 8 publications

References 37 publications

Study on forcing schemes in the thermal lattice Boltzmann method for simulation of natural convection flow problems

Study on forcing schemes in the thermal lattice Boltzmann method for simulation of natural convection flow problems

Numerical Study of Gas Microflow within a Triangular Lid-driven Cavity

R13 moment equations applied to supersonic flow with solid wall interaction

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