Open AccessFinite heating duration based-sensitivity analysis in transient heat conduction
Author(s) -
Giampaolo D’Alessandro,
Filippo de Monte
Publication year - 2019
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 - 10.1088/1742-6596/1224/1/012015
Subject(s) - thermal conduction , superposition principle , thermal conductivity , heat flux , transient (computer programming) , sensitivity (control systems) , materials science , mechanics , boundary value problem , sample (material) , heat equation , thermodynamics , heat transfer , mathematics , mathematical analysis , physics , composite material , electronic engineering , engineering , computer science , operating system
In the parameter estimation the sensitivity analysis of the temperature to the unknown parameter (such as thermal conductivity, heat capacity) plays a fundamental role. In the experimental setup for thermal properties measurements of solid materials, the heater in contact with the specimen can be modelled through an high conductivity thin layer. In such a case the one dimensional finite rectangular body, representing the sample, is subject to a boundary condition of the 4 th kind at the heated boundary. Also, a constant heat flux applied for a finite period of time is considered in the analysis and the sample backside is assumed insulated. The temperature field within the finite body is obtained by using the superposition principle. Then, the scaled sensitivity coefficients are computed analytically for two different locations: at the interface between the heater and the sample, and at the sample backside. The results show that the sensitivity coefficients with respect to the thermal conductivity and to the volumetric heat capacity of the sample are uncorrelated.