Modeling of Heat Transfer from Finned Surface

Ranjan Singh, Banamali Dalai

Abstract: Numerical determination of temperature distribution T (x) and fin heat transfer rate of a rectangular and triangular fin is presented. The shooting method is used which converts the boundary value problem into an initial value problem. Numerical results at different step sizes are compared to the analytical solution. The shooting method starts the solution from a guessed value at the boundary with initial data and produces the final boundary value at the end. The major downside is that the shooting method is computationally time expensive. Calculated the heat transfer for both RECTANGULAR and TRIANGULAR geometry to get the desired output value. Heat transfer rate, efficiency and effectiveness along the length are increased from the tip to the base for all cross section. All the results are plotted in the form of graph.

Keywords: Shooting Method, Fin, Temperature distribution