Temperature fields generated by a circular heat source (CHS) in an infinite isotropic medium: Treatment of contact resistances with application to thin films

Emanuel, Michael; Bhouri, Maha; Furlotte, Justin; Groulx, Dominic; Maassen, Jesse

doi:10.1016/j.ijheatmasstransfer.2019.03.115

Cited by 5 publications

(1 citation statement)

References 15 publications

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“…The numerical evaluation of the heat equation is performed by Finite Elements Method (FEM), which gives the ability to model the geometrical and material structure of the experiment and obtain the temperature dependence on time (temperature response) in a specific place [16][17][18][19][20]. However, the disadvantage of the method is that the temperature response is obtained in numerical form and cannot be used for fitting the measured response directly.…”

Section: Introductionmentioning

confidence: 99%

The application of the Finite Elements Method in the Transient Measurements of Thermophysical Parameters

Malinarič

2023

Preprint

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The Finite Element Method (FEM) is used to improve the Extended Dynamic Plane Source (EDPS) method in order to obtain more accurate values of the thermal conductivity and diffusivity of the specimen. A method of the FEM-calculated response transformation into an analytical form that can be used in fitting the measured temperature response has been described and verified. Furthermore, a modification of the EDPS method designated as EDPS1 is designed, where only one piece of specimen is used. Since there is no analytical formula for the new method, the analytical formula for EDPS is used. The initial specimen parameter estimates for EDPS1 are accordingly very rough, and therefore the FEM numerical runs need to be repeated several times until the estimates reach relative errors of around 1%.

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Section: Introductionmentioning

confidence: 99%

The application of the Finite Elements Method in the Transient Measurements of Thermophysical Parameters

Malinarič

2023

Preprint

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The Application of the Finite Elements Method in the Transient Measurements of Thermophysical Parameters

Malinarič

2024

Int J Thermophys

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The finite elements method (FEM) is used to improve the extended dynamic plane source (EDPS) method to obtain more accurate values of the thermal conductivity and diffusivity of the specimen. A method of transformation of the FEM-calculated response into an analytical form, which can be used in fitting the measured temperature response, has been described and verified. Furthermore, a modification of the EDPS method designated as EDPS1 is designed, where only one piece of specimen is used. Since there is no analytical formula for the new method, the analytical formula for EDPS is used. Hence, the initial estimates of the specimen parameters for the EDPS1 method are very rough and the FEM numerical evaluations must be repeated several times until the estimates reach relative errors of around 1%.

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New line-source solution and scaling relations for diffusive leakage of brine from an infinite aquifer-caprock composite domain during geological storage of CO2

Das

Dejam

2022

International Journal of Greenhouse Gas Control

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Temperature fields generated by a circular heat source (CHS) in an infinite isotropic medium: Treatment of contact resistances with application to thin films

Cited by 5 publications

References 15 publications

The application of the Finite Elements Method in the Transient Measurements of Thermophysical Parameters

The application of the Finite Elements Method in the Transient Measurements of Thermophysical Parameters

The Application of the Finite Elements Method in the Transient Measurements of Thermophysical Parameters

New line-source solution and scaling relations for diffusive leakage of brine from an infinite aquifer-caprock composite domain during geological storage of CO2

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