Abstract-Heat sink and extended surface in the form of the fins module are the most commonly used various industrial applications such as Nuclear reactor, Mixing tank, solar air heater and even in electronic filed also such in the CPU as heat exchanger, the purpose of employing these is to enhance heat transfer by Forced and Natural heat transfer phenomenon. This paper provides a compressive review on the finned surface or heat sink which is subjected to thermal condition i.e. for Forced and Natural transfer phenomenon. Vast research has been carried out in the field of Fin and extended surface both in experimentation as well as computationally. Various optimization algorithms have also been reported by the researchers and are illustrated by various graphs and mathematical modeling by developing correlations.