Numerical prediction of heat transfer by natural convection in a square cavity differentially heated and partitioned

In this study, we present a numerical modeling of heat transfer in a differentially heated square cavity, formed by two horizontal walls adiabaticand two isothermal vertical walls. Two vertical partitions are inserted parallel to the walls insulated. A partition wall is attached to the adiabatic high while the other is attached to thewall adiabatic low. Thermal and dynamic fields are obtained using the method of lattice Boltzmann multiple relaxation times. Thecoolant air is considered here. We are interested in the influence of Rayleigh number, the height of the partitions and their positions on the heat transfer and flow structure.