Methods of Solution of Equations of Heat Conduction with Constant Thermal Parameters and Without Reaction

1992 ◽  
pp. 19-27
Author(s):  
J.-W. Vergnaud ◽  
J. Bouzon
Keyword(s):  
Heat Conduction ◽  
Thermal Parameters ◽  
Solution Of Equations

An Idea of a Measurement System for Determining Thermal Parameters of Heat Insulation Materials

2011 ◽  
Vol 18 (2) ◽  
pp. 261-274 ◽  
Author(s):  
Stanisław Chudzik ◽  
Waldemar Minkina
Keyword(s):  
Neural Network ◽  
Artificial Neural Network ◽  
Heat Conduction ◽  
Measurement System ◽  
Heat Insulation ◽  
Heat Conduction Problem ◽  
Thermal Parameters ◽  
Insulation Materials ◽  
Hot Probe ◽  
Artificial Neural

An Idea of a Measurement System for Determining Thermal Parameters of Heat Insulation MaterialsThe article presents the prototype of a measurement system with a hot probe, designed for testing thermal parameters of heat insulation materials. The idea is to determine parameters of thermal insulation materials using a hot probe with an auxiliary thermometer and a trained artificial neural network. The network is trained on data extracted from a nonstationary two-dimensional model of heat conduction inside a sample of material with the hot probe and the auxiliary thermometer. The significant heat capacity of the probe handle is taken into account in the model. The finite element method (FEM) is applied to solve the system of partial differential equations describing the model. An artificial neural network (ANN) is used to estimate coefficients of the inverse heat conduction problem for a solid. The network determines values of the effective thermal conductivity and effective thermal diffusivity on the basis of temperature responses of the hot probe and the auxiliary thermometer. All calculations, like FEM, training and testing processes, were conducted in the MATLAB environment. Experimental results are also presented. The proposed measurement system for parameter testing is suitable for temporary measurements in a building site or factory.

scholarly journals Analogies between optical propagation and heat diffusion: applications to microcavities, gratings and cloaks

2015 ◽  
Vol 471 (2183) ◽  
pp. 20150143 ◽  
Author(s):  
C. Amra ◽  
D. Petiteau ◽  
M. Zerrad ◽  
S. Guenneau ◽  
G. Soriano ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Diffraction Gratings ◽  
Anisotropic Media ◽  
Thermal Parameters ◽  
Heat Diffusion ◽  
Transformation Optics ◽  
Multilayered Structures ◽  
Optical Propagation ◽  
Time Harmonic ◽  
Detailed Derivation

A new analogy between optical propagation and heat diffusion in heterogeneous anisotropic media has been proposed recently by three of the present authors. A detailed derivation of this unconventional correspondence is presented and developed. In time harmonic regime, all thermal parameters are related to optical ones in artificial metallic media, thus making possible to use numerical codes developed for optics. Then, the optical admittance formalism is extended to heat conduction in multilayered structures. The concepts of planar microcavities, diffraction gratings and planar transformation optics for heat conduction are addressed. Results and limitations of the analogy are emphasized.

Inverse transient heat conduction problems and identification of thermal parameters

2008 ◽  
Vol 45 (1) ◽  
pp. 23-29 ◽  
Author(s):  
K. Atchonouglo ◽  
M. Banna ◽  
C. Vallée ◽  
J. -C. Dupré
Keyword(s):  
Heat Conduction ◽  
Transient Heat Conduction ◽  
Thermal Parameters

Heat Conduction and Thermal Parameters

2013 ◽  
pp. 15-52
Author(s):  
Vincenzo Pasquale ◽  
Massimo Verdoya ◽  
Paolo Chiozzi
Keyword(s):  
Heat Conduction ◽  
Thermal Parameters

On Heat Conduction in Highly Rarefied Air

1881 ◽  
Vol 11 (270supp) ◽  
pp. 4307-4307
Author(s):  
William Crookes
Keyword(s):  
Heat Conduction
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