Meshless approach for computing the heat liberation from annular fins of tapered cross section

摘要

This technical note addresses an extremely simple computational procedure for solving the complex quasi-one dimensional heat equation with variable coefficients that governs the temperature change in annular fins of hyperbolic profile cooled by a fluid. The salient feature of the computational procedure is the convenient linkage of the finite-difference method with a meshless approach. Using a very coarse mesh, accurate estimates for the temperature distribution and heat liberation from annular fins of hyperbolic profile have been obtained by hand solving small systems of three algebraic equations.