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ENCIT 2022
19th Brazilian Congress of Thermal Sciences and Engineering
THERMAL CONTACT CONDUCTANCE ESTIMATION USING A TIME-DEPENDENT METHOD OF FUNDAMENTAL SOLUTIONS
Submission Author:
Carlos Eduardo Polatschek Kopperschmidt , ES , Brazil
Co-Authors:
Carlos Eduardo Polatschek Kopperschmidt, Bruno Henrique Marques Margotto, Marcelo Colaco, Wellington Betencurte da Silva, JULIO CESAR SAMPAIO DUTRA
Presenter: Carlos Eduardo Polatschek Kopperschmidt
doi://10.26678/ABCM.ENCIT2022.CIT22-0286
Abstract
Heat conduction in composite solids is strongly dependent on the thermal contact conductance (TCC) between them. This property is very important to obtain the heat transfer behavior in many engineering applications such as electronic packaging, nuclear reactors, aerospace, and biomedicine, among others. The numerical solution of the transient heat transfer model can be performed by mesh-based methods e.g., Finite Difference Method, which might require a great effort for a very accurate space discretization. On the other hand, meshless methods are gaining attention by their simple implementation and good accuracy. One of these methodologies is the Method of Fundamental Solutions (MFS), which combines the knowledge about the boundary and initial conditions, named collocation points, with points placed outside the studied domain, called source points. This method represents the solution (temperature in this case) as a linear combination of fundamental solutions, whose unknown coefficients must be obtained through the solution of a linear system. In this work, a time-dependent MFS is applied to the solution of a transient heat conduction problem, considering different TCC configurations. Results shown good accuracy, although the resulting matrix is highly ill-conditioned, and a Tikhonov regularization scheme had to be used to solve it.
Keywords
Thermal contact conductance, Inverse Heat Transfer Problems, Method of Fundamental Solutions
