Heat transfer optimization in finned annular ducts under laminar-flow conditions

In the present work the problem of optimizing the lateral profile of longitudinal fins in annular ducts in order to enhance the heat transfer under laminar coolant flow conditions is studied. The velocity and temperature distributions on the annular duct cross section are determined with the help of a finite-element model, and a global heat transfer coefficient is calculated. A polynomial lateral profile is proposed for the fins, and the geometry is optimized in order to make the transferred heat as high as possible for a given amount of material and for a given hydraulic resistance. Lastly, the optimum fin profiles obtained for different situations by means of a genetic algorithm are shown.