Lattice Boltzmann applied to fluid flow and heated lid-driven using 2D square lattice dimension (D2Q9)

Lattice Boltzmann method is implemented to study 2D hydrodynamically and thermally developing steady laminar flows in a channel and the lid-driven cavity flows. Numerical simulation of two dimensional convective heat transfer problem is conducted using nine directional D2Q9 thermal lattice Boltzmann arrangements. The velocity and temperature profiles in the developing region predicted by Lattice Boltzmann method are compared against those obtained by ANSYS-FLUENT. Velocity and temperature profiles as well as the skin friction and the Nusselt numbers agree very well with those predicted by the self similar solutions of fully developed flows. Furthermore, simulations of velocity and temperature filed in 2D lid-driven cavity flows are conducted by using D2Q9 thermal lattice Boltzmann technique. The velocity and temperature profiles predicted by velocity and temperature profiles predicted by LBM agree well with those obtained by ANSY-FLUENT. It is clearly shown here that thermal lattice Boltzmann method is an effective computational fluid dynamics (CFD) tool to study nonisothermal flow problems.