A fin serves as an extended surface to enhance the heat transfer from a larger heated mass
to which it is attached. We consider a fin in steady-state and find its shape that maximizes …

The efficiency of a cooling fin of given weight is measured by the amount of heat dissipated
per unit time by the fin. It is known that the efficiency of a given fin can be altered by …

We consider the heat transfer problem associated with a periodic array of extended surfaces
(fins) subjected to convection heat transfer with a uniform heat transfer coefficient. Our …

We minimize, with respect to the cross sectional area, the mass of a bar given the rate of
heat transfer. The bar enhances the heat transfer surface of a larger known mass to which …

The paper considers the optimum design (maximum heat dissipation for a fixed profile area)
of a convecting, rectangular fin with a step change in cross-sectional area. The optimization …

In this paper, we analyze the values of the entropic efficiency of longitudinal fins by
investigating the coupling between the function describing the fin profile and the …

1. Introduction. In the past, most discussions concerning the cooling fins of a heat exchanger
were confined to cases where the heat from the fin surface was eventually dissipated by the …

Using the steady-state nonlinear differential equation which controls the temperature
distribution in a fin of variable cross-section that is exchanging heat with the surroundings by …

We show how shape optimization of fin arrays for increased heat flux through the base
under area constraint leads to non‐existence of optimal solutions. An additional constraint in …

Finned surfaces have been in use for a long period as a heat dissipation mechanism. The
optimization of fins is of major importance in the thermal design of a heat exchanger. The …