ABSTRACT

However, neither of these methods was flexible enough to accept different boundary conditions at the surface or inside the surface (e.g., different convective heat transfer coefficient and surface temperatures at the different parts of the surface or nonhomogeneous thermophysical properties inside the geometry). Thus, the development of a flexible alternate finite difference solution to heat transfer problems in elliptical cross sections to eliminate the previous methods’ deficiencies would be valuable. Therefore, the objectives of this study were to review the power curves method, to develop an alternate flexible volume element based approach to accept different boundary conditions at the surface and nonhomogeneous thermophysical properties inside, and to compare these methods.