Determination of the parameters in the generalized heat-conduction equation from transient experimental data

1982 ◽  
Vol 42 (6) ◽  
pp. 693-698 ◽  
Author(s):  
E. A. Artyukhin ◽  
A. S. Okhapkin
Keyword(s):  
Experimental Data ◽  
Heat Conduction ◽  
Heat Conduction Equation ◽  
Conduction Equation ◽  
Generalized Heat Conduction

Inverse determination of thermal conductivity in lumber based on genetic algorithms

Holzforschung ◽  
2016 ◽  
Vol 70 (3) ◽  
pp. 235-241 ◽  
Author(s):  
Jingyao Zhao ◽  
Zongying Fu ◽  
Xiaoran Jia ◽  
Yingchun Cai
Keyword(s):  
Thermal Conductivity ◽  
Genetic Algorithms ◽  
Heat Conduction ◽  
Heat Conduction Equation ◽  
Convective Heat Transfer Coefficient ◽  
Conduction Equation ◽  
New Equation ◽  
Volume Method ◽  
Good Agreement

Abstract A 3D numerical solution of the heat conduction equation is proposed based on the finite volume method to describe the heating of wood, where the thermal conductivity (ThC) is variable, and the convective heat transfer coefficient is constant. ThC parameters were found through an optimization process based on genetic algorithms. The objective function between measured and simulated curves is determined, and parameters with greatest correspondence between measured and estimated values were obtained. As a result, a new equation for ThC is proposed, which depends on moisture and temperature. The proposed coefficient is validated by experiments, and a good agreement was found between experimental heating curves and those obtained by simulation by means of the new heat conduction equation.

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