Fractional heat conduction model with phase lags for a half‐space with thermal conductivity and temperature dependent

2020 ◽  
Author(s):  
S.M. Abo‐Dahab ◽  
Ahmed E. Abouelregal ◽  
Hijaz Ahmad
Keyword(s):  
Thermal Conductivity ◽  
Heat Conduction ◽  
Half Space ◽  
Temperature Dependent ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Phase Lags ◽  
Fractional Heat Conduction

Advanced thermoelastic heat conduction model with two ‎fractional parameters and phase-lags

2021 ◽  
Author(s):  
Ahmed E. Abouelregal ◽  
A. Soleiman‎ ◽  
Hamid M. Sedighi ◽  
K.M. Khalil‎ ◽  
M.E. Nasr‎
Keyword(s):  
Heat Conduction ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Phase Lags

scholarly journals A generalized heat conduction model of higher-order time derivatives and three-phase-lags for non-simple thermoelastic materials

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Ahmed E. Abouelregal ◽  
K. M. Khalil ◽  
F. A. Mohammed ◽  
M. E. Nasr ◽  
Adam Zakaria ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Higher Order ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Three Phase ◽  
Phase Lags ◽  
Generalized Heat Conduction

scholarly journals Analysis of the Properties of Fractional Heat Conduction in Porous Electrodes of Lithium-Ion Batteries

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 195
Author(s):  
Xin Lu ◽  
Hui Li ◽  
Ning Chen
Keyword(s):  
Heat Transfer ◽  
Heat Conduction ◽  
Lithium Ion Batteries ◽  
Lithium Ion ◽  
Porous Electrodes ◽  
Transient Temperature ◽  
Measured Temperature ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Fractional Heat Conduction

Research on the heat transfer characteristics of lithium-ion batteries is of great significance to the thermal management system of electric vehicles. The electrodes of lithium-ion batteries are composed of porous materials, and thus the heat conduction of the battery is not a standard form of diffusion. The traditional heat conduction model is not suitable for lithium-ion batteries. In this paper, a fractional heat conduction model is used to study the heat transfer properties of lithium-ion batteries. Firstly, the heat conduction model of the battery is established based on the fractional calculus theory. Then, the temperature characteristic test was carried out to collect the temperature of the battery in various operating environments. Finally, the temperature calculated by the fractional heat conduction model was compared with the measured temperature. The results show that the accuracy of fractional heat conduction model is higher than that of traditional heat conduction model. The fractional heat conduction model can well simulate the transient temperature field of the battery. The fractional heat conduction model can be used to monitor the temperature of the battery, so as to ensure the safety and stability of the battery performance.

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