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To solve the cooling problem of electronic equipment with small heat dissipation area under high uneven power, this paper presents a natural convection radiator with L-shaped heat pipe and rectangular longitudinal fin module. The radiator has the advantages of compact structure, flexible layout, and didn’t occupy the side space due to the structural advantages. A numerical study was carried out, and the results are in good agreement with the experimental results. The thermal performance of the rectangular longitudinal fin module is also studied, the radiation heat loss of the fins accounts for about 25% of the total heat dissipation. The temperature and velocity vector distribution near the fin was analysed to research the influence of flow characteristics on the heat transfer of the fin. Additionally, the numerical results also show that the fin heat sink has an optimal fin height, which is 14mm.