A Phenomenological Theory of Thermal Diffusivity

A Phenomenological Theory of Thermal Diffusivity Refractories and Industrial Ceramics Vol. 42, Nos.3–4, 2001 UDC 536.2.023 V. V. Kolomeitsev, E. F. Kolomeitseva, O. V. Kolomeitseva, and S. A. Suvorov Translated from Ogneupory i Tekhnicheskaya Keramika, No. 4, pp. 35 – 36, April, 2001. The relation between a spatio-temporal change of tem- The following relations hold for Eq. (4): perature in a three-dimensional nonstationary temperature (,xy, z,t) vT (xy , , z,t) “field” is derived from the First Law of Thermodynamics 0 (5) 2 2 (,xy, z,t) v T (xy , , z, t ). and the Biot – Fourier law and is expressed by a differential equation of heat conduction, which, in the absence of inter- One will note that the physical meaning of the wave nal heat sources, takes the form function, as implied by Eq. (4), is the rate of change of the T 1 temperature field. div()  grad T (1) Combining Eqs. (2), (3), and (4) gives tc 11  T T 0. (6) for  = f (T ) and c = const, or a t u t = a  T, (2) Differential equation (6) contains only derivatives of temperature with respect to time; its solution we represent in http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Refractories and Industrial Ceramics Springer Journals

A Phenomenological Theory of Thermal Diffusivity

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2001 by Plenum Publishing Corporation
Subject
Materials Science; Characterization and Evaluation of Materials; Materials Science, general; Ceramics, Glass, Composites, Natural Materials
ISSN
1083-4877
eISSN
1573-9139
D.O.I.
10.1023/A:1011344415879
Publisher site
See Article on Publisher Site

Abstract

Refractories and Industrial Ceramics Vol. 42, Nos.3–4, 2001 UDC 536.2.023 V. V. Kolomeitsev, E. F. Kolomeitseva, O. V. Kolomeitseva, and S. A. Suvorov Translated from Ogneupory i Tekhnicheskaya Keramika, No. 4, pp. 35 – 36, April, 2001. The relation between a spatio-temporal change of tem- The following relations hold for Eq. (4): perature in a three-dimensional nonstationary temperature (,xy, z,t) vT (xy , , z,t) “field” is derived from the First Law of Thermodynamics 0 (5) 2 2 (,xy, z,t) v T (xy , , z, t ). and the Biot – Fourier law and is expressed by a differential equation of heat conduction, which, in the absence of inter- One will note that the physical meaning of the wave nal heat sources, takes the form function, as implied by Eq. (4), is the rate of change of the T 1 temperature field. div()  grad T (1) Combining Eqs. (2), (3), and (4) gives tc 11  T T 0. (6) for  = f (T ) and c = const, or a t u t = a  T, (2) Differential equation (6) contains only derivatives of temperature with respect to time; its solution we represent in

Journal

Refractories and Industrial CeramicsSpringer Journals

Published: Oct 9, 2004

References

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