Parameter estimation for the time fractional heat conduction model based on experimental heat flux data

2020 ◽  
Vol 102 ◽  
pp. 106094 ◽  
Author(s):  
Xiaoqing Chi ◽  
Bo Yu ◽  
Xiaoyun Jiang
Keyword(s):  
Heat Flux ◽  
Parameter Estimation ◽  
Heat Conduction ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Flux Data ◽  
Model Based ◽  
Experimental Heat ◽  
Fractional Heat Conduction

scholarly journals Non-Fourier Heat Conduction of a Functionally Graded Cylinder Containing a Cylindrical Crack

2020 ◽  
Vol 2020 ◽  
pp. 1-11 ◽  
Author(s):  
Jiawei Fu ◽  
Keqiang Hu ◽  
Linfang Qian ◽  
Zengtao Chen
Keyword(s):  
Heat Flux ◽  
Heat Conduction ◽  
Intensity Factor ◽  
Functionally Graded ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Flux Intensity ◽  
Cylindrical Crack ◽  
Heat Flux Intensity ◽  
Fourier Heat Conduction

The present work investigates the problem of a cylindrical crack in a functionally graded cylinder under thermal impact by using the non-Fourier heat conduction model. The theoretical derivation is performed by methods of Fourier integral transform, Laplace transform, and Cauchy singular integral equation. The concept of heat flux intensity factor is introduced to investigate the heat concentration degree around the crack tip quantitatively. The temperature field and the heat flux intensity factor in the time domain are obtained by transforming the corresponding quantities from the Laplace domain numerically. The effects of heat conduction model, functionally graded parameter, and thermal resistance of crack on the temperature distribution and heat flux intensity factor are studied. This work is beneficial for the thermal design of functionally graded cylinder containing a cylindrical crack.

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.

scholarly journals Causal Heat Conduction Contravening the Fading Memory Paradigm

Entropy ◽  
2019 ◽  
Vol 21 (10) ◽  
pp. 950
Author(s):  
Luis Herrera
Keyword(s):  
Heat Conduction ◽  
Transport Equation ◽  
Heat Kernel ◽  
Fading Memory ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Model Based ◽  
Relativistic Version ◽  
Thermohaline Convection ◽  
Nuclear Burning

We propose a causal heat conduction model based on a heat kernel violating the fading memory paradigm. The resulting transport equation produces an equation for the temperature. The model is applied to the discussion of two important issues such as the thermohaline convection and the nuclear burning (in)stability. In both cases, the behaviour of the system appears to be strongly dependent on the transport equation assumed, bringing out the effects of our specific kernel on the final description of these problems. A possible relativistic version of the obtained transport equation is presented.

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