Version 1
: Received: 26 January 2019 / Approved: 28 January 2019 / Online: 28 January 2019 (09:49:47 CET)
How to cite:
Xu, C.; Lin, J.; Liu, W.; Zhang, Y. Research on Heat Transfer Dynamic Characteristics of Composite Layer Based on Laplace Transform. Preprints2019, 2019010272. https://doi.org/10.20944/preprints201901.0272.v1
Xu, C.; Lin, J.; Liu, W.; Zhang, Y. Research on Heat Transfer Dynamic Characteristics of Composite Layer Based on Laplace Transform. Preprints 2019, 2019010272. https://doi.org/10.20944/preprints201901.0272.v1
Xu, C.; Lin, J.; Liu, W.; Zhang, Y. Research on Heat Transfer Dynamic Characteristics of Composite Layer Based on Laplace Transform. Preprints2019, 2019010272. https://doi.org/10.20944/preprints201901.0272.v1
APA Style
Xu, C., Lin, J., Liu, W., & Zhang, Y. (2019). Research on Heat Transfer Dynamic Characteristics of Composite Layer Based on Laplace Transform. Preprints. https://doi.org/10.20944/preprints201901.0272.v1
Chicago/Turabian Style
Xu, C., Wenhao Liu and Yuanbiao Zhang. 2019 "Research on Heat Transfer Dynamic Characteristics of Composite Layer Based on Laplace Transform" Preprints. https://doi.org/10.20944/preprints201901.0272.v1
Abstract
This paper predict and effectively control the temperature distribution of the steady-state and transient states of anisotropic four-layer composite materials online, knowing the density, specific heat, heat conductivity and thickness of the composite materials. Based on the transfer function, a mathematical model was established to study the dynamic characteristics of heat transfer of the composite materials. First of all, the Fourier heat transfer law was used to establish a one-dimensional Fourier heat conduction differential equation for each composite layer, and the Laplace transformation was carried out to obtain the system function. Then the approximate second-order transfer function of the system was obtained by Taylor expansion, and the Laplace inverse transformation was carried out to obtain the transfer function of the whole system in the time domain. Finally, the accuracy of the simplified analytical solutions of the first, second and third order approximate transfer functions was compared with computer simulation. The results showed that the second order approximate transfer functions can describe the dynamic process of heat transfer better than others. The research on the dynamic characteristics of heat transfer in the composite layer and the dynamic model of heat transfer in composite layer proposed in this paper have a reference value for practical engineering application. It can effectively predict the temperature distribution of composite layer material and reduce the cost of experimental measurement of heat transfer performance of materials.
Keywords
Flourier law of heat transfer; Temperature distribution; Laplace transform
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
