ApplicationsThe fins are extended surfaces around different objects to enhance their thermal transmission from the object to the surrounding environment. These are significant for electronics cooling, car radiator, heat exchanging devices, compressors and electric motor etc. Purpose and methodologyThe main concerns of this study are to analyze the heating/cooling performance of annular fin for nucleate boiling case. In Pool boiling, the boiling occurs in the absence of bulk movement of the fluid. In such situation, the fluid remains stationery and the motion occurs under natural convection. For significant outcomes, the effects of magnetic field, thermal radiation, nanomaterials and heating species added during the modeling. Then, the energy model of the second order is obtained and analyzed via numerical scheme. Core findingsThe results over the domain of interest revealed that the heat transmission from the fin to the environment can be enlarged by strengthening the coefficient of thermal conductivity and α2 in the range of 0.1,0.3,0.5,0.7. The concentration φ3 from 2% to 8% dominantly boost the fin performance; however, φ1 has weaker effects. Further, directed radiations (Rd = 0.1,0.3,0.5,0.7) rays control the heat performance and insertion of heating source (Q1 = 0.2,0.4,0.6,0.8) is one of the reliable way to enhance the heat transmission rate in the surrounding environment.