Efficient and accurate spectral method for the time‐fractional dual‐phase‐lag heat transfer model and its parameter estimation

2019 ◽  
Vol 43 (5) ◽  
pp. 2216-2232
Author(s):  
Rumeng Zheng ◽  
Xiaoyun Jiang ◽  
Hui Zhang
Keyword(s):  
Heat Transfer ◽  
Parameter Estimation ◽  
Spectral Method ◽  
Heat Transfer Model ◽  
Transfer Model ◽  
Phase Lag ◽  
Dual Phase

Complementary Experiments for Parameter Estimation in Heat Transfer Model

2021 ◽  
Author(s):  
Halak N. Mehta ◽  
Patnarin Benyathiar ◽  
Dharmendra K. Mishra ◽  
Michael Varney
Keyword(s):  
Heat Transfer ◽  
Parameter Estimation ◽  
Heat Transfer Model ◽  
Transfer Model

scholarly journals Investigation of Heat Diffusion at Nanoscale Based on Thermal Analysis of Real Test Structure

Energies ◽  
2020 ◽  
Vol 13 (9) ◽  
pp. 2379 ◽  
Author(s):  
Tomasz Raszkowski ◽  
Mariusz Zubert
Keyword(s):  
Heat Transfer ◽  
Numerical Algorithms ◽  
Silicon Layer ◽  
Heat Transfer Model ◽  
Test Structure ◽  
Heat Diffusion ◽  
Transfer Model ◽  
Phase Lag ◽  
Bottom Part ◽  
Proposed Model

This paper presents an analysis related to thermal simulation of the test structure dedicated to heat-diffusion investigation at the nanoscale. The test structure consists of thin platinum resistors mounted on wafer made of silicon dioxide. A bottom part of the structure contains the silicon layer. Simulations were carried out based on the thermal simulator prepared by the authors. Simulation results were compared with real measurement outputs yielded for the mentioned test structure. The authors also propose the Grünwald–Letnikov fractional space-derivative Dual-Phase-Lag heat transfer model as a more accurate model than the classical Fourier–Kirchhoff (F–K) heat transfer model. The approximation schema of proposed model is also proposed. The accuracy and computational properties of both numerical algorithms are presented in detail.

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