Open AccessA novel Boundary Element model for solving stationary inhomogeneous heat conduction problems
Author(s) -
H M Barcelos,
Carlos Friedrich Loeffler,
Luciano de Oliveira Castro Lara
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1826/1/012003
Subject(s) - thermal conduction , laplace transform , isotropy , heat flux , interpolation (computer graphics) , finite element method , heat equation , boundary value problem , laplace's equation , domain (mathematical analysis) , boundary (topology) , mathematics , boundary element method , function (biology) , mathematical analysis , computer science , heat transfer , mechanics , physics , thermodynamics , mechanical engineering , engineering , quantum mechanics , frame (networking) , evolutionary biology , biology
A new formulation of BEM applied to steady heat conduction problems, governed by the inhomogeneous Laplace Equation will be presented. The thermal property is isotropic, but varies according to a function known throughout the domain. DIBEM and DST are used together to generate the numerical model. Being used in the interpolation process, two distinct RBF will be used to evaluate the formulation performance. In order to show the generality and capacity of the proposed model, the heat flux variation in a machine tool temperature sensor is calculated. The comparison of the quality of the results achieved is made using FEM.