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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
GENERALIZED INTEGRAL TRANSFORMS AND KIRCHHOFF TRANSFORMATION IN NONLINEAR HEAT CONDUCTION PROBLEMS
Submission Author:
João Quaresma , PA , Brazil
Co-Authors:
Josue Alfredo Espinal Ordonez, Emanuel Macêdo, João Quaresma, Renato Machado Cotta
Presenter: Josue Alfredo Espinal Ordonez
doi://10.26678/ABCM.ENCIT2020.CIT20-0667
Abstract
The Generalized Integral Transform Technique (GITT) is combined with the Kirchhoff transformation in solving transient nonlinear heat conduction problems, considering dependence with the temperature on both the thermal conductivity and the thermal capacitance. The approach is demonstrated for a heat conduction problem based on boundary conditions of the first and second kinds. The hybrid methodology is employed with a convergence acceleration strategy based on a quasi-steady filtering scheme. The results were critically compared against numerical data obtained using the method of lines (MOL). The final version of the work includes the proposition of a nonlinear eigenvalue problem base, accounting for the nonlinear coefficients in the eigenfunctions and eigenvalues, not only in the transformed field.
Keywords
Generalized Integral Transform Technique (GITT), Kirchhoff transformation, nonlinear problems, heat conduction, method of lines, nuclear applications
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