Analysis of Heat Transfer in a Cylindrical Spine Fin with Variable Thermal Properties

Abstract:

In this paper we analyse the heat transfer in a cylindrical spine fin. Here, both the heat transfer coefficient and thermal conductivity are temperature dependent. The resulting 2+1 dimension partial differential equation (PDE) is rendered nonlinear and difficult to solve exactly, particularly with prescribed initial and boundary conditions. We employ the three dimensional differential transform methods (3D DTM) to contract the approximate analytical solutions. Furthermore we utilize numerical techniques to determine approximate numerical solutions. The effects of parameters, appearing in the boundary value problem (BVP), on temperature profile of the fin are studied.

• Periodical: Defect and Diffusion Forum (Volume 387)
• Pages: 10-22
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.387.10
• Online since: September 2018
• Authors: Nkejane Fallo, Raseelo Joel Moitsheki*, Oluwole Daniel Makinde
• Keywords: 3D DTM, Approximate Analytical Solutions, Cylindrical Spine Fin, Heat Transfer, Numerical Solution

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