SIMULTANEOUS ESTIMATION OF ELECTRICAL AND THERMAL PROPERTIES OF MATERIAL FROM THE TONE-BURST EDDY CURRENT THERMOGRAPHY (TBET) TIME-TEMPERATURE DATA

A straightforward mathematical procedure allows the calculation of the isogeothermal pattern in and about a salt intrusion. Temperature anomalies are controlled not only by the thermal properties of the media, but also are indicative of the geometry and history of the system. As a simple example, an axially symmetrical structure was chosen to illustrate the kind of inferences one can make from the temperature data, such as discrimination between connected and disconnected domes, and the estimation of the vertical velocity of the intrusion. The numerical results confirm and extend the observations in electrolytic scale models (Hubert Guyod, 1946), and augment W. Heroy’s comments on thermal properties of salt, given at the International Conference on Saline Deposits, Houston, 1962.

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Simultaneous estimation of thermal properties by non-linear least squares method.

KAGAKU KOGAKU RONBUNSHU ◽

10.1252/kakoronbunshu.11.84 ◽

1985 ◽

Vol 11 (1) ◽

pp. 84-92 ◽

Cited By ~ 2

Author(s):

Jun Fukai ◽

Minoru Watanabe ◽

Takatoshi Miura ◽

Shigemori Ohtani

Keyword(s):

Thermal Properties ◽

Least Squares ◽

Least Squares Method ◽

Simultaneous Estimation ◽

Linear Least Squares ◽

Non Linear

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Effect of Heat Source and Imperfect Contact on Simultaneous Estimation of Thermal Properties of High-Conductivity Materials

Mathematical Problems in Engineering ◽

10.1155/2019/5945413 ◽

2019 ◽

Vol 2019 ◽

pp. 1-15 ◽

Cited By ~ 1

Author(s):

Giampaolo D’Alessandro ◽

Filippo de Monte ◽

Donald E. Amos

Keyword(s):

Heat Capacity ◽

Thermal Properties ◽

Heated Surface ◽

Thermal Contact ◽

High Conductivity ◽

Simultaneous Estimation ◽

Transform Method ◽

Imperfect Contact ◽

Experimental Apparatus ◽

Layer Sample

In the current paper a novel methodology accounting for both the heater heat capacity and the imperfect thermal contact between a thin heater and a specimen is proposed. In particular, the volumetric heat capacity of the heater is considered by modelling it as a lumped capacitance body, while the imperfect thermal contact is considered by means of a contact resistance. Thus, the experimental apparatus consisting of three layers (specimen-heater-specimen) is reduced to a single finite layer (sample) subject to a “nonclassical” boundary condition at the heated surface, known as sixth kind. Once the temperature solution is derived analytically using the Laplace transform method, the scaled sensitivity coefficients are computed analytically at the interface between the heater and the sample (heater side and sample side) and at the sample backside. By applying the proposed methodology to a lab-controlled experiment available in the specialized literature, a reduction of the thermal properties values of about 1.4% is observed for a high-conductivity material (Armco iron).

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