FD-LBM Simulation of thermosolutal convection generated in an inclined enclosure in the presence of Soret and Dufour effects

Hasnaoui, Safae; Amahmid, A.; Raji, A.; Hasnaoui, M.; Dahani, Youssef; Béji, H.

doi:10.1016/j.egypro.2017.11.260

Cited by 2 publications

(2 citation statements)

References 11 publications

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“…The influence of the Soret and Dufour effects on the thresholds of stationary convection, subcritical convection, flow structure, and heat and mass transfer rates were discussed. The thermosolutal natural convection, generated in an inclined square cavity filled with a binary fluid in the presence of the Soret and Dufour effects, was investigated numerically by Hasnaoui et al [51] using a hybrid Lattice Boltzmann finite difference method.…”

Section: Introductionmentioning

confidence: 99%

Linear and Nonlinear Stability Analyses of Double-Diffusive Convection in a Vertical Brinkman Porous Enclosure under Soret and Dufour Effects

Amel

Mamou

Rebhi

et al. 2021

Fluids

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Analytical and numerical investigations were performed to study the influence of the Soret and Dufour effects on double-diffusive convection in a vertical porous layer filled with a binary mixture and subject to horizontal thermal and solute gradients. In particular, the study was focused on the effect of Soret and Dufour diffusion on bifurcation types from the rest state toward steady convective state, and then toward oscillatory convective state. The Brinkman-extended Darcy model and the Boussinesq approximation were employed to model the convective flow within the porous layer. Following past laboratory experiments, the investigations dealt with the particular situation where the solutal and thermal buoyancy forces were equal but acting in opposite direction to favor the possible occurrence of the rest state condition. For this situation, the onset of convection could be either supercritical or subcritical and occurred at given thresholds and following various bifurcation routes. The analytical investigation was based on the parallel flow approximation, which was valid only for a tall porous layer. A numerical linear stability analysis of the diffusive and convective states was performed on the basis of the finite element method. The thresholds of supercritical, RTCsup, and overstable, RTCover, convection were computed. In addition, the stability of the established convective flow, predicted by the parallel flow approximation, was studied numerically to predict the onset of Hopf’s bifurcation, RTCHopf, which marked the transition point from steady toward unsteady convective flows; a route towards the chaos. To support the analytical analyses of the convective flows and the numerical stability methodology and results, nonlinear numerical solutions of the full governing equations were obtained using a second-order finite difference method. Overall, the Soret and Dufour effects were seen to affect significantly the thresholds of stationary, overstable and oscillatory convection. The Hopf bifurcation was marked by secondary convective flows consisting of superposed vertical layers of opposite traveling waves. A good agreement was found between the predictions of the parallel flow approximation, the numerical solution and the linear stability results.

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Section: Introductionmentioning

confidence: 99%

Linear and Nonlinear Stability Analyses of Double-Diffusive Convection in a Vertical Brinkman Porous Enclosure under Soret and Dufour Effects

Amel

Mamou

Rebhi

et al. 2021

Fluids

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“…Various LBM frameworks for thermal flow have been discussed earlier. A wide range of problems have been addressed by LBM, such as Rayleigh–Bénard convection, ,, two-phase Rayleigh–Bénard convection with a deformable interface, Rayleigh–Taylor instability simulations, gas–liquid interface mass transfer, conjugate mass transfer, ,,− impact of magnetic field on natural convection heat transfer, heat transfer between porous walls and air in thermal energy storage, evaporation of thin seawater film on horizontal tubes, convection of thermosolutal fluid with Soret and Durfour effects, gravity effect on phase change heat transfer, natural and forced convection. ,− …”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann Methods for Industrial Applications

Sharma

Straka

Tavares

2019

Ind. Eng. Chem. Res.

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We present an overview of recent advancements and potentialities for industrial applications of lattice Boltzmann methods (LBMs). Various processes and phenomena with industrial importance such as flow in microchannels, dissolution and precipitation of solids, bubble dynamics, droplet formation and breakage, chemical reactions and reactors, mass transfer and optimization in fuel cells, flow in stirred tanks, multicomponent-multiphase flow, flow in porous media, and natural and convective heat transfer have been covered. The LBM implementation for such applications is presented, and the results are analyzed here. Various LBM collision schemes and their impact on the numerical stability and accuracy in the above-mentioned processes are also discussed.

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FD-LBM Simulation of thermosolutal convection generated in an inclined enclosure in the presence of Soret and Dufour effects

Cited by 2 publications

References 11 publications

Linear and Nonlinear Stability Analyses of Double-Diffusive Convection in a Vertical Brinkman Porous Enclosure under Soret and Dufour Effects

Linear and Nonlinear Stability Analyses of Double-Diffusive Convection in a Vertical Brinkman Porous Enclosure under Soret and Dufour Effects

Lattice Boltzmann Methods for Industrial Applications

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