Dual-phase-lag heat transfer model in hydromagnetic second grade flow through a microchannel filled with porous material: A time-bound analysis

2018 ◽  
Vol 28 (2) ◽  
pp. 173-194
Author(s):  
MEHARI FENTAHUN ENDALEW ◽  
SUBHARTHI SARKAR ◽  
GAURI SHANKER SETH ◽  
OLUWOLE DANIEL MAKINDE
Energies ◽  
2020 ◽  
Vol 13 (9) ◽  
pp. 2379 ◽  
Author(s):  
Tomasz Raszkowski ◽  
Mariusz Zubert

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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