Numerical study of heat transfer and entropy generation of Rayleigh- Benard convection nanofluid in wavy cavity with magnetic field

In the present paper, heat transfer and entropy generation in Rayleigh-Bóenard convection of nanofluids subjected to a magnetic field within an enclosed cavity is studied by adopting the lattice Boltzmann Model. The left and the right walls are smooth and insulated against heat and mass. The bottom wavy wall is heated, while the top flat wall is maintained at the cold temperature. The variation of density is slight thus; hydrodynamics and thermal fields equations are coupled using the Boussinesq approximation. The density and energy distribution are both solved by D2Q9 model. The study have been carried out for Rayleigh number 103, 104 and 105, Hartmann number 0, 30, 60 and 90 and volume fractions of 0 up to 0.04 for Cu, CuO and Al2O3 nanoparticles in base pure water fluid. Results show that the Nusselt number and entropy generation increase with the increment of Rayleigh number and nanoparticles volume fraction, but those decrease by the increment of the Hartmann number. The enhancement of magnetic field augments or plummets the effect produced by the presence of nanoparticles on heat transfer and entropy generation at different Rayleigh numbers. In addition, it is shown the greatest effect of nanoparticles on heat transfer and entropy generation is observed by addition of Cu nanoparticles and the least is function of Ra number. This study can, provide useful insight for enhancing the convection heat transfer performance by considering of energy losses within enclosed cavities with Rayleigh–Bóenard convection nanofluid under influence of magnetic field.