Akademik Veri Yönetim Sistemi
JOURNAL OF THE FACULTY OF ENGINEERING AND ARCHITECTURE OF GAZI UNIVERSITY, cilt.27, sa.3, ss.473-480, 2012 (SCI-Expanded)
The optimization of hyperbolic profile annular fins with variable thermal conductivity is performed based on one-dimensional heat transfer analysis. The homotopy analysis method (HAM) is used to solve the nonlinear one-dimensional heat transfer equation which is associated with variable thermal conductivity condition and obtained the temperature distribution within the fin. Since the HAM algorithm contains a parameter that controls the convergence and accuracy of the solution, its results can be verified internally by calculating the residual error. The fin efficiency of hyperbolic profile annular fins is obtained as a function of three problem parameters: thermo-geometric fin parameter, thermal conductivity parameter describing the variation of thermal conductivity and radii ratio. Since the efficiency expression is very complicated, the data from the present solutions is correlated for fin efficiency. Employing this correlation equation in optimization calculations, it has obtained fin geometry which maximizes the heat transfer rate for giving thermal conditions.