Open AccessNumerical General Solution for Identifying the Position of Point Heat Source for Steady Inverse Heat Conduction Problems
Author(s) -
Hong Liu,
Juntao Gao,
Haojie Chen
Publication year - 2020
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 - 10.1088/1742-6596/1624/3/032010
Subject(s) - thermal conduction , position (finance) , heat equation , inverse problem , mathematics , relativistic heat conduction , point source , numerical analysis , mathematical analysis , finite element method , heat flux , mechanics , physics , thermodynamics , heat transfer , finance , optics , economics
This paper constructs an explicit formula for numerical general solution with position parameters of heat source as variables based on the heat conduction finite element numerical solution in order to convert inverse heat conduction problem with position identification of heat source to multi-variables limit problem. And it establishes linear equations with variables of position parameters of heat source by derivation, and gets the position parameters of heat source. The paper gives out the detailed procedure and formula for numerical general solution method, which includes describing position of point heat source, calculating numerical solutions for homogeneous solution and particular solution of the governing equation for heat conduction problem, constructing numerical general solution, solving the linear equations and getting the position parameters. The paper gives an example of identifying position parameters of heat source for inverse heat conduction problem.