The optimum Fin literature deals mainly with the problem of finding the maximum heat dissipation for a given mass of fin.Smidth * [l] investigated straight and circular fins from the stand point of least material requirements form which the temperature gradient is linear.
Murshid Jahan and Abu Raihan [2] constructed and studied straight and annular fins of uniform and nun-uniform thickness.
Avrami and Little [3] have studied the temperature gradients dt/dy and dt/dx in thick fins of rectangular profile.
B.R.Brans [4]used a variational formulation to study the effects of constraints on the maximum and minimum thickness of convective fin.
Carries and Anderson[5] have presented open solution in terms of infinite series for circular fins or rectangular and hyperbolic profile.
Cobb [6] found the optimal profile for a fin subject to simultaneous Convection and radiation occurring along the boundary.
Zabronsky [7] has presented an exact solution from the efficiency of square fins on round tubes.
Abdul Meraz and Jakir Imran [8] constructed and studied semi-cubical parabolic fin and inverse semi-cubical parabolic fin. They also determined the performance of those fins and made comment about heat transfer in horizontal and vertical position of fins.
Bozlur Rahman and Picklur Rahman [9] heat transfer at constant temperature by using triangular fin, semi cubical fin and inverse semi-cubical parabolic fin.
Mofizuddin Ahmed and Biddyut Paul [10] constructed and studied rectangular fin, inverse parabolic fin and spine of inverse parabolic fin. They were also able to determine the performance of those fins.
Didarul Islam and Abu Taher [11] constructed and studied rectangular fin, triangular fin and hyperbolic fin. They also determined the performance of those fins.
Dhar and Arora [12] discuss array of fins where the formulation included the effects of the space between the fin.