ISSN Online: 2377-424X
ISBN Print: 0-89116-909-1
International Heat Transfer Conference 9
THE ANALYSIS OF EXTENDED SURFACES WITH A VARIABLE HEAT TRANSFER COEFFICIENT
Résumé
The recently developed paramaterization of the thermal transmission matrix to provide a linear transformation for temperature excess and heat flow between tip and base conditions of a single fin is used to efficiently solve the problem encountered with a variable heat transfer coefficient along the faces of the fin. The cascade algorithm for the combination of subfins attached end-to-end is used to demonstrate, in a computationally efficient procedure, that the problem of the variation of heat transfer coefficient condition can be approximated to any required accuracy by the use of subfins, each with a constant local heat transfer coefficient. The accuracy will depend only on the number of subfins employed. The proposed method is compared to an existing analytical solution and further illustrated for a more practical problem where the fin width is also allowed to vary.