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Similarity analysis of a nonlinear fin equation. (English) Zbl 1114.80003
The similarity analysis of a nonlinear fin equation is done by determining the scaling, translational and spiral group symmetries. The authors perform a classification of special Lie group symmetries with respect to the conductivity and heat transfer coefficient. In view of the similarity transformation the fin equation can be converted into an ordinary differential equation which is much easier to solve than the original partial differential equation.

MSC:
80A20 Heat and mass transfer, heat flow (MSC2010)
22E70 Applications of Lie groups to the sciences; explicit representations
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