scholarly journals On the Numerical Solution of One Dimentional Transient Heat Conduction in a Furnace Wall of Varying Thermal Diffusivity as a Positional Function

1959 ◽  
Vol 67 (761) ◽  
pp. 149-157
Author(s):  
Shinroku SAITO
Keyword(s):  
Heat Conduction ◽  
Thermal Diffusivity ◽  
Numerical Solution ◽  
Transient Heat Conduction ◽  
Furnace Wall

Numerical Solution using SPH Method: An Application to Transient Heat Conduction

2019 ◽  
Author(s):  
Almério José Venâncio Pains Soares Pamplona ◽  
Karoliny Freitas Silva ◽  
Cláudio Bucar Filho ◽  
Joel Vasco
Keyword(s):  
Heat Conduction ◽  
Numerical Solution ◽  
Transient Heat Conduction ◽  
Sph Method

On the Use of Spreadsheets in Heat Conduction Analysis

2000 ◽  
Vol 28 (2) ◽  
pp. 113-139 ◽  
Author(s):  
Esmail M. A. Mokheimer ◽  
Mohamed A. Antar
Keyword(s):  
Heat Conduction ◽  
Numerical Solution ◽  
Numerical Solutions ◽  
Single Layer ◽  
Transient Heat Conduction ◽  
New Technique ◽  
Two Dimensional ◽  
A New Technique ◽  
User Friendly

Detailed methodology and different techniques for simply utilizing the widely available and user friendly spreadsheet programs in heat conduction analysis are presented. Evaluation of analytical and numerical solution of heat conduction problems via spreadsheets is investigated. Detailed techniques of obtaining spreadsheet numerical solutions for one- and two-dimensional steady and transient heat conduction problems are introduced. A new technique of marching the transient numerical solution with time, in a single layer spreadsheet, for one- and two-dimensional heat conduction is explained. Creating macros that automate the spreadsheet processes, particularly calculations, is detailed. Utilization of the powerful graphical facility that is built in the spreadsheets to graphically represent the obtained solutions is outlined.

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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