Transient Heat Conduction in a Rod of Finite Length With Variable Thermal Properties

1960 ◽  
Vol 27 (4) ◽  
pp. 617-622 ◽  
Author(s):  
W. H. Chu ◽  
H. N. Abramson
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Finite Length ◽  
Thermophysical Properties ◽  
Numerical Procedure ◽  
Transient Heat Conduction ◽  
Theoretical Solution ◽  
Rod Of Finite Length

This paper presents a theoretical solution for transient heat conduction in a rod of finite length with variable thermal properties. A numerical procedure is developed and the results of one example are presented and compared with the corresponding solution for the case of constant properties. Application to the problem of determination of thermophysical properties is discussed briefly.

Simple Numerical Procedure for the Digital Computer Solution of Non-Linear Transient Heat Conduction with Changes of Phase

1966 ◽  
Vol 8 (3) ◽  
pp. 259-263 ◽  
Author(s):  
F. C. Lockwood
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Finite Difference ◽  
Numerical Procedure ◽  
Transient Heat Conduction ◽  
Temperature Dependent ◽  
Computer Solution ◽  
Integral Transformations ◽  
Finite Difference Technique ◽  
Explicit Finite Difference

A practical numerical method is described for the solution of transient heat conduction where the thermal properties are temperature dependent and changes of phase occur. The procedure involves the use of the explicit finite difference technique, for which a stability criterion is given, in conjunction with two integral transformations.

Optimal Removal of Experimental Points to Determine Apparent Thermal Diffusivity of Canned Products

2014 ◽  
Vol 10 (2) ◽  
pp. 223-231 ◽  
Author(s):  
Wilton P. da Silva ◽  
Cleide M. D. P. S. Silva ◽  
Marcos A. A. Lins ◽  
Waldemir S. da Costa
Keyword(s):  
Boundary Condition ◽  
Heat Conduction ◽  
Thermal Diffusivity ◽  
Analytical Solution ◽  
Heat Conduction Equation ◽  
Transient Heat Conduction ◽  
Agar Gel ◽  
Precision And Accuracy ◽  
Thermo Physical Properties

Abstract To describe the transient heat conduction from or to a product, its thermo-physical properties must be known. If the boundary condition of the heat conduction equation is of the first kind, the process is governed by the thermal diffusivity α. Normally this property is determined by fit of the analytical solution with only the first term of the series to an experimental dataset of the temperature versus time, in which the temperature is measured in a known position. In this case, the value obtained for α contains errors due to the consideration of only one term and the inclusion of the first experimental points in the fit. This article presents an algorithm based on optimal removal of experimental points to minimize errors in the determination of α. The algorithm was validated and applied to heating of Agar gel. The precision and accuracy of the obtained result were, respectively, 0.38 and 0.6%.

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