An alternative for the determination of thermal diffusivity using 1D Fourier solution: Talbot's method.

Autor: Moreira, Giovanna O., Dotto, Guilherme L., Moreira, Marcos F. P.
Předmět:
Zdroj: Chemical Engineering Communications; 2023, Vol. 210 Issue 7, p1118-1129, 12p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
Externí odkaz:
Nepřihlášeným uživatelům se plný text nezobrazuje