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An alternative for the determination of thermal diffusivity using 1D Fourier solution: Talbot’s method
Chemical Engineering Communications ( IF 1.9 ) Pub Date : 2022-04-04 , DOI: 10.1080/00986445.2022.2056456
Giovanna O. Moreira 1 , Guilherme L. Dotto 2 , Marcos F. P. Moreira 3
Affiliation  

Abstract

Thermal diffusivity is a parameter of fundamental importance in heat transfer studies of solids. This parameter can be determined from the transient Fourier heat conduction equation using different techniques. In this research, a new algorithm based on Talbot’s method was proposed to determine the thermal diffusivity using a one-dimensional Fourier heat conduction equation. Furthermore, a free and open-source program was developed to perform the calculations. Experimental data in heating and cooling conditions of ham were used to test the programming. It was found that n and ω are strongly related and affect the results. The developed program in Scilab using Talbot’s method, the Levenberg-Marquardt algorithm of optimization (lsqrolve routine), n = 100 and ω = 1.8 obtained r2 of 0.999 and 0.998; thermal diffusivities of 0.98 × 10−7 m2/s and 1.13 × 10−7 m2/s with the time required to run the programming from 0.6 to 1.1 s.



中文翻译:

使用一维傅里叶解确定热扩散率的替代方法:Talbot 方法

摘要

热扩散率是固体传热研究中一个非常重要的参数。该参数可以使用不同的技术从瞬态傅里叶热传导方程确定。在这项研究中,提出了一种基于 Talbot 方法的新算法,使用一维傅里叶热传导方程来确定热扩散系数。此外,还开发了一个免费的开源程序来执行计算。火腿的加热和冷却条件下的实验数据用于测试编程。发现nω密切相关并影响结果。使用 Talbot 方法在 Scilab 中开发的程序,Levenberg-Marquardt 优化算法(lsqrolve 例程),n  = 100 和ω  = 1.8 得到r 2为 0.999 和 0.998;0.98 × 10 -7 m 2 /s 和 1.13 × 10 -7 m 2 /s的热扩散率,运行编程所需的时间为 0.6 至 1.1 s。

更新日期:2022-04-04
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