Performance analysis and optimization of eccentric annular disk fins

In the first part of the paper, a semi-analytical method has been described for solving the two-dimensional hear conduction equation in an eccentric a nnular disk fin circumscribing a circular tube, subjected to convective coo ling. Analysis has been done considering both convective and insulated cond itions at the fm rip. The effects of surface and tip heat transfer coeffici ents and eccentricity on the performance of the fin have been studied. Comp arative studies have also been made between the performance of concentric a nd eccentric fins with same radius ratio. Next, the optimum dimensions for eccentric annular fins have been determined using Lagrange multiplier techn ique. In the scheme, either the fin volume or the heat transfer duty can be taken as the constraint. Finally, it has been shown that when space restri ction is imposed on one side of the tube, eccentric annular fins can be des igned to have lesser volumes compared to concentric annular fins above a ce rtain heat transfer duty.