Transient temperature solutions of a cylindrical fin

Authors:
G.-C. Kuo;Y.-H. Hu;W.-L. Liaw;K.-J. Wang;K.-Y. Kung
Affiliations:
Department of Mechanical Engineering, Nanya Institute of Technology, Jhongli City, Taiwan;Department of Mechanical Engineering, Nanya Institute of Technology, Jhongli City, Taiwan;Department of Mechanical Engineering, Nanya Institute of Technology, Jhongli City, Taiwan;Department of Industrial Management, National Taiwan University of Science and Technology, Taiwan;Department of Mechanical Engineering, Nanya Institute of Technology, Jhongli City, Taiwan
Venue:
WSEAS Transactions on Mathematics
Year:
2011

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Abstract

Analytical temperature solutions to the transient heat conduction for a two dimensional cylindrical fin with arbitrary convective effects on lateral surface is obtained by the method of superposition and separation variables. The temperature distributions are generalized for a linear combination of the product of Bessel function, Fourier series and exponential type for nine different cases. Relevant connections with some other closely-related recent works are also indicated.