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In this paper, we report the fluid flow behavior and characteristic of heat transfer from a heated inner cylinder placed eccentrically inside cold outer cylinder. The double distribution function lattice Boltzmann numerical scheme with the simplest lattice structure is applied to predict the velocity and temperature fields in the system. Six numerical experiments were preformed in order to study these phenomena with different locations of heated inner circular cylinder. In current study, we found that the vortex formation, size and strength are significantly affected by the location of heated inner cylinder. However, the convection mode heat transfer dominates the heat transfer mechanism for every simulation condition due to relatively high Rayleigh number condition applied in this study.