Modeling of natural convection by lattice Boltzmann in a partially heated cavity
Fouad Agoujil, Youssef Elguennouni, Youness Ighris, Jamal Baliti, Mohamed Hssikou
Abstract
This study introduces the lattice Boltzmann method for modeling natural convection in a partially heated square cavity filled with air for varying Rayleigh numbers. A temperature gradient affects the vertical walls, whereas the other walls are treated as adiabatic. The velocity and temperature fields are determined using the double population model of Lattice Boltzmann Method (LBM), which uses two different distribution functions one for the velocity field and another for the temperature field. The results obtained are showcased through streamlines, isotherms, velocity, and temperature profiles, these results align well with existing literature.
Topics & Concepts
Lattice Boltzmann methodsStreamlines, streaklines, and pathlinesNatural convectionAdiabatic processTemperature gradientMechanicsBoltzmann constantRayleigh numberRayleigh scatteringConvectionPhysicsBoltzmann distributionMaterials scienceThermodynamicsOpticsMeteorologyLattice Boltzmann Simulation StudiesAerosol Filtration and Electrostatic PrecipitationNanofluid Flow and Heat Transfer