In the present study, a nanofluid filled cavity with sinusoidal temperature boundary condition, under the influence of an inclined magnetic field was investigated numerically. The LBM method was applied to simulate the nanofluid flow with water as the carrier fluid and Cu nanoparticles around an average temperature circular cylinder. In this study, the different brakingmanners of the magnetic field and the obstacle are compared for different field intensity and directions and various obstacle size and positions. The flow and heat transfer behavior of the nanofluid were observed for different Rayleigh numbers (103–106), Hartmann numbers (0–90), nanoparticles' volume fraction(0–6 %), magnetic field direction = (0–90o) and obstacle aspect ratios (0.05, 0.1 and 0.2) and positions (0-8). The results indicated that the influence of nanoparticles for this geometry and boundary condition is highly dependingon the Rayleigh and Hartmann numbers.Also, it was shown that for lower Ra numbers the obstacle with an aspect ratio of 0.1 presents better heat transfer rate, while for higher Ra numbers the obstacle size is much less important than its position.

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