Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 16, Issue 10, Pages 3971-3980Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2011.01.010
Keywords
Heat transfer; Longitudinal fin; Nonlinear thermal conductivity and heat transfer coefficient; Exact solutions
Categories
Funding
- National Research Foundation of South Africa
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We consider a heat transfer problem of a longitudinal fin with triangular and parabolic profiles. Both thermal conductivity and heat transfer coefficient are assumed to be temperature-dependent, and given by power laws. We construct exact solution when the problem is linearizable. In the other case, classical Lie symmetry techniques are employed to analyze the problem. The obtained exact solutions satisfy the realistic boundary conditions. The effects of the physical applicable parameters such as thermo-geometric fin parameter and the fin efficiency are analyzed. (C) 2011 Elsevier B.V. All rights reserved.
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