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DOI: 10.1615/HeatTransRes.2016014323
pages 571-584

NONLINEAR ANALYSIS OF A NON-FOURIER HEAT CONDUCTION PROBLEM IN A FIN HEATED BY CONSTANT HEAT SOURCE

Mohammad Javad Noroozi
Faculty of Mechanical Engineering, Semnan University, Semnan, Iran
Seyfolah Saedodin
Department of Mechanical Engineering, Semnan University, Semnan, Iran
Davood Ganji (D.D. Ganji)
Babol University
http://sciencewatch.com/dr/ne/08decne

ABSTRACT

Heat transfer phenomenon within a one-dimensional finite fin subjected to the action of a constant heat source was studied in this paper. The Cattaneo−Vernotte non-Fourier heat conduction model was used for thermal analysis. The thermal conductivity was assumed temperature-dependent which resulted in a nonlinear equation. The obtained equations were solved using the approximate-analytical Adomian Decomposition Method (ADM). It was concluded that the method used in this study is a powerful tool for solving non-Fourier PDEs. It was also found that the nonlinear analysis is important in non-Fourier heat conduction problems. Significant differences were observed between the Fourier and non-Fourier solutions which stresses the importance of non-Fourier solutions in similar problems. The weak role of convection heat transfer was also specified.