Temperature Solution for Transient Heat Conduction in a Thin Bilayer Between Semi-Infinite Media in Thermal Effusivity Measurement

2016 ◽  
Vol 138 (5) ◽  
Author(s):  
Leendert van der Tempel
Keyword(s):  
Heat Conduction ◽  
Measurement Accuracy ◽  
Thermal Effusivity ◽  
Transient Heat Conduction ◽  
Temperature Series ◽  
Thin Layers ◽  
Plane Source ◽  
Transient Plane Source ◽  
Temperature Solution ◽  
Infinite Media

A series expansion and an approximation have been derived for the temperature in the general case of transient heat conduction in two thin layers between two semi-infinite media at different uniform initial temperatures. The temperature accuracy and thermal effusivity measurement accuracy have been mapped to establish a window of operation for direct thermal effusivity measurement by the modified transient plane source (MTPS) method. The presented temperature series enables quick thermal analysis of thermally thick and semithick samples without factory correction/calibration.

Study of Method for Determination of Thermal Conductivity of Automotive Interior Materials

2014 ◽  
Vol 526 ◽  
pp. 46-51
Author(s):  
Li Xiong Zhang ◽  
Rong Gang Gao
Keyword(s):  
Thermal Conductivity ◽  
Conductivity Measurement ◽  
Transient Heat Conduction ◽  
Traditional Theory ◽  
Infinite Plane ◽  
Plane Source ◽  
Transient Plane Source ◽  
Wide Range ◽  
Automotive Interior

Based on the traditional theory of transient plane source for thermal conductivity measurement, this paper designed and developed a new pattern of heating and temperature sensing probe, presented the study of transient heat conduction of half-infinite plane while being heated, established a modified mathematical model of transient plane source method, and achieved the measurement of thermal conductivity of automotive interior material sample by the data processing method of mathematical iteration and liner regression using the modified transient plane source probe. According to the data of experiments, the instrument which this paper designed has a high precision of 5% and a wide range of 0.003-1W/(mK).This paper provides a practicable way for heat capacity determination of automotive interior materials.

Transient Heat Conduction in a Thin Layer Between Semi-Infinite Media in Polymer Shaping

2017 ◽  
Vol 140 (4) ◽  
Author(s):  
Leendert van der Tempel ◽  
Willem Potze ◽  
Jeroen H. Lammers
Keyword(s):  
Heat Conduction ◽  
Thin Layer ◽  
Surface Heat Flux ◽  
Fused Deposition Modeling ◽  
Transient Heat Conduction ◽  
Surface Heat ◽  
Test Cases ◽  
Fused Deposition ◽  
Deposition Modeling ◽  
Infinite Media

A series expansion and an approximation have been derived for the temperature in the general case of transient heat conduction in a thin layer with a surface heat flux between two semi-infinite media at different uniform initial temperatures. Their temperature accuracy has been evaluated for two test cases in the field of thermoplastic shaping of polymers. The series enables quick yet fairly accurate thermal analysis of compression molding (CM) and injection molding (IM) and its vitrification rate and of fused deposition modeling™ (FDM) and its bead welding and vitrification rate.

Transient Heat Conduction in a Heat Generating Layer Between Two Semi-Infinite Media

2001 ◽  
Vol 124 (2) ◽  
pp. 299-306 ◽  
Author(s):  
Leendert van der Tempel
Keyword(s):  
Thermal Analysis ◽  
Heat Conduction ◽  
Thermal Model ◽  
Series Solution ◽  
Transient Heat Conduction ◽  
One Dimensional ◽  
Optical Disks ◽  
The One ◽  
Infinite Media ◽  
Lateral Heat

The problem of transient heat conduction in a heat generating layer between two semi-infinite media has been solved. The one-dimensional thermal model is Laplace transformed. Three analytical temperature solutions are derived: two approximation solutions and an exact series solution. They are compared with respect to accuracy, convergence and computational efficiency. The approximations are computationally more efficient, and the series converge to the exact solution. The presented accurate solutions enable quick thermal analysis in terms of just 2 parameter groups, but overestimate the temperature during initialization of rewritable optical disks due to lateral heat conduction.

TRANSIENT HEAT CONDUCTION IN ANISOTROPIC SOLIDS

1974 ◽  
Author(s):  
Kozo Katayama ◽  
Akio Saito ◽  
Nariyoshi Kobayashi
Keyword(s):  
Heat Conduction ◽  
Transient Heat Conduction
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