Thermal Conductivity Model with Non-Constant Boundary Condition in One-Dimensional Semi-Infinite Case

Article Preview

Abstract:

Thermal conductivity is one of the important transport properties of the semi-infinite solid. In this paper, using Laplace transform, we obtain the thermal conductivity model in one-dimensional semi-infinite case with non-constant boundary condition. Then two examples are given for evaluation of our model. One is linear boundary, and test data are obtained to compare with our model. The second one is sine boundary, which can predict the interior temperature by our model. The results obtained are useful for the thermal engineering science.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

254-258

Citation:

Online since:

October 2014

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Braga, W. F., Mantelli, M. B. H., Azevedo, J. L. F. in: Analytical Solution for One-Dimensional Semi-Infinite Heat Transfer Problem with Convection Boundary Condition, AIAA 38th Thermophysics Conference, Toronto (2005).

DOI: 10.2514/6.2005-4686

Google Scholar

[2] Xi, Y., Willam, K., Frangopol, D. M.: J. of Eng. Mech. Vol. 126, No. 3 (2000), p.258.

Google Scholar

[3] Jiang, X.Y., Xu, M.Y.: Physica A Vol. 389 (2010), p.3368.

Google Scholar

[4] Lawrence C. Evans: Partial Differential Equations ( American Mathematical Society, New York 2010).

Google Scholar

[5] Erwin Kreyszig: Advanced Engineering Mathematics (John Wiley & Sons Ltd, Hoboken 2011).

Google Scholar