**ABSTRACT**

In the present study, numerical method of lines is applied to study the impact of Peclet number on the transient nonlinear thermal behaviour of moving porous fins. Through energy analysis of the passive device, the transient thermal model of the fin is developed. The nonlinear partial differential equation is nondimensionalized to directly establish the Peclet number in the adimensional thermal model. Thereafter, the model is solved by numerical method of lines and the influences of Peclet number on the thermal response of the fins is explored. The results of the numerical investigations illustrate that the temperature of the fin is enhanced when the Peclet number is augmented. This shows that low value of Peclet number favours cooling enhancement. Also, under varying Peclet number, the extended surface thermal distribution decreases as porous, conductive-convective, conductive-radiative and porous terms increase. However, the temperature of the passive device rises as internal heat generation, ambient and surface temperatures is heightened. This study has given better physical insights and understanding of the thermal problems in extended surfaces.

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