Abstract:
The present work deals with the application of Homotopy Analysis Method
(HAM) in conjunction with Nelder–Mead simplex search method (SSM) to
study a triangular wet fin. At first, analytical expression has been derived
using HAM to calculate the local temperature field. Then using SSM, the
important parameters, namely, thermal conductivity of the material, surface
heat transfer coefficient and dimensions of the fin, have been estimated
separately for attaining the prescribed temperature field. The transport
phenomena involve simultaneous heat and mass transfers. It is found from the
present study that many feasible solutions can satisfy a given thermal
condition, which will offer the flexibility in selecting the fin material,
adjusting the thermal conditions and regulating the fin dimensions. Further, it
is determined that the allowable error in the temperature measurement should
be limited within ± 15% and a good reconstruction of the temperature field is
possible using the HAM–SSM combination.
