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Numerical Study of Thermal Diffusion and Diffusion Thermo Effects in a Differentially Heated and Salted Driven Cavity Using MRT-Lattice Boltzmann Finite Difference Model

Soufiene Bettaibi, Frédéric Kuznik, Ezeddine Sediki, Sauro Succi

2021International Journal of Applied Mechanics16 citationsDOIOpen Access PDF

Abstract

We perform a numerical study of thermal diffusion and diffusion thermo effects on double diffusive mixed convection in a driven square cavity, differentially heated and salted using a hybrid lattice Boltzmann solver. The multiple relaxation time (MRT) for the lattice Boltzmann equation is used to obtain the velocity field whereas the temperature and concentration fields are deduced from energy and species balances equations using a finite difference method (FDM). The model is validated, resulting in satisfactory agreement with data from the literature. The different validations demonstrate the effectiveness of the proposed approach. Besides, the results showed that the Soret and Dufour numbers have great effects on the flow structure and heat and mass transfer.

Topics & Concepts

Lattice Boltzmann methodsFinite differenceBoltzmann equationThermalMechanicsFinite difference methodDiffusionMaterials scienceThermal diffusivitySolverThermodynamicsMass transferHeat transferConvectionBoltzmann constantPhysicsStatistical physicsMathematicsMathematical optimizationMathematical analysisLattice Boltzmann Simulation StudiesNanofluid Flow and Heat TransferHeat and Mass Transfer in Porous Media