ABSTRACT
In the present work, comparative study between constant weight and variable weight fins has been performed. An approximate solution for the heat transfer from functionally graded annular fin is obtained. The heat transfer due to radiation has also been considered along with conduction and convection. On linear governing equation is solved using the B-spline collocation method at Gaussian quadrature collocation points.The effects of grading parameter (b),geometry parameters (n and m),radiation- conduction number (Nr ), dimensionless sink temperature (θa ) and aspect ratio (Rf ) on the temperature distribution is reported. Validation is carried out with benchmark results and good agreement is observed.Moreover,the results demonstrate that the B-spline collocation method is a very effective technique of obtaining approximate solutions for nonlinear problems. The effect of various parameters on temperature profiles are shown with the help of consolidated graphs.
