Steady one-dimensional heat flow in a longitudinal triangular and parabolic fin
RJ Moitsheki - Communications in Nonlinear Science and Numerical …, 2011 - Elsevier
Communications in Nonlinear Science and Numerical Simulation, 2011•Elsevier
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 …
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 …
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.
Elsevier
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