HYBRID LATTICE BOLTZMANN METHOD FOR 3D NATURAL CONVECTION COMBINED WITH VOLUMETRIC RADIATION

A hybrid lattice Boltzmann model was developed to examine the eff ect of volumetric thermal radiation on threedimensional natural convection. Within this model, a fl uid fl ow was computed by the lattice Boltzmann method in terms of the D3Q19 scheme and Bhatnagar–Gross–Krook approximation. On the other hand, a fi nite-diff erence technique was applied to solve the energy equation. To determine the radiative heat fl ux, the Rosseland approximation was used. The eff ect of the Rayleigh number Ra and the radiation parameter Rd on the temperature, fl ow behavior, and the mean Nusselt number was studied in the ranges 10⁴ ≤ Ra ≤ 10⁶ and 0 < Rd ≤ 5. It was found that thermal radiation weakened natural convective mechanism of heat transfer. The mean convective Nusselt number increased with the Rayleigh number and decreased with increase in the radiation parameter
A hybrid lattice Boltzmann model was developed to examine the eff ect of volumetric thermal radiation on threedimensional natural convection. Within this model, a fl uid fl ow was computed by the lattice Boltzmann method in terms of the D3Q19 scheme and Bhatnagar–Gross–Krook approximation. On the other hand, a fi nite-diff erence technique was applied to solve the energy equation. To determine the radiative heat fl ux, the Rosseland approximation was used. The eff ect of the Rayleigh number Ra and the radiation parameter Rd on the temperature, fl ow behavior, and the mean Nusselt number was studied in the ranges 10⁴ ≤ Ra ≤ 10⁶ and 0 < Rd ≤ 5. It was found that thermal radiation weakened natural convective mechanism of heat transfer. The mean convective Nusselt number increased with the Rayleigh number and decreased with increase in the radiation parameter
Author:  A. Neea, A. K. Hussein
Keywords:  Rosseland radiation, BGK approximation, D3Q19 scheme, fi nite-diff erence method
Page:  766