scholarly journals Estimation of thermal resistance field in multilayer materials by autoregressive asymptotic method calibrated with analytical quadrupole method

2020 ◽  
Author(s):  
M. Bensalem ◽  
A. Sommier ◽  
E. Abisset ◽  
S. Chevalier ◽  
J.L. Battaglia ◽  
...  
Keyword(s):  
Thermal Resistance ◽  
Asymptotic Method ◽  
Quadrupole Method ◽  
Multilayer Materials

scholarly journals Estimation of Thermal Resistance Field in Layered Materials by Analytical Asymptotic Method

2020 ◽  
Vol 10 (7) ◽  
pp. 2351
Author(s):  
Marie-Marthe Groz ◽  
Mohamed Bensalem ◽  
Alain Sommier ◽  
Emmanuelle Abisset-Chavanne ◽  
Stéphane Chevalier ◽  
...  
Keyword(s):  
Thermal Resistance ◽  
Asymptotic Method ◽  
Signal Reconstruction ◽  
Front Face ◽  
Flash Method ◽  
Thermal Excitation ◽  
Resistive Layer ◽  
Iterative Processing ◽  
Thermal Signal ◽  
Asymptotic Development

In this paper, the problem of the quantitative characterization of thermal resistance fields in a multilayer sample is addressed by using the classical front face flash method as the thermal excitation and infrared thermography (IRT) as the monitoring sensor. In this challenging problem, the complete inverse processing of a multilayer analytical model is difficult due to the lack of sensitivity of some parameters (layer thickness, depth of thermal resistance, etc.) and the expansive computational iterative processing. For these reasons, the proposed strategy is to use a simple multilayer problem where only one resistive layer is estimated. Moreover, to simplify the inverse processing often based on iterative methods, an asymptotic development method is proposed here. Regarding the thermal signal reconstruction (TSR) methods, the drawback of these methods is the inability to be quantitative. To overcome this problem, the method incorporates a calibration process originating from the complete analytical quadrupole solution to the thermal problem. This analytical knowledge allows self-calibration of the asymptotic method. From this calibration, the quantitative thermal resistance field of a sample can be retrieved with a reasonable accuracy lower than 5%.

An Optimal Homotopy Asymptotic Method Solution of Injection of a Newtonian Fluid Through One Side of a Long Vertical Channel

2011 ◽  
Vol 42 (3) ◽  
pp. 267-283
Author(s):  
Rehan Ali Shah ◽  
Saeed Islam ◽  
A. M. Siddiqui ◽  
Ishtiaq Ali ◽  
Manzoor Ellahi
Keyword(s):  
Newtonian Fluid ◽  
Asymptotic Method ◽  
Vertical Channel ◽  
Optimal Homotopy Asymptotic Method
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