Abstract
The aim here is to describe macroscopic models of conductive heat transfer within systems comprising two solid phases, using the method of volume averaging. The presentation of this technique largely stems from work by Carbonell, Quintard, and Whitaker [1–3]. The macroscopic conservation equations are set up under the assumption of local thermal equilibrium, leading to a model governed by a single equation. The effective thermal conductivity of the equivalent medium is obtained by solving the associated closure problems. The case where thermal equilibrium does not pertain, leading to a model with two energy conservation equations, is discussed briefly.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R.G. Carbonell, S. Whitaker: Heat and Mass Transfer in Porous Media (Martinus Nijkoff, Dordrecht, 1984) pp. 121–198
M. Quintard, S. Whitaker: Adv. Heat Transfer 23, 369 (1993)
S. Whitaker: The Method of Volume Averaging, Vol. 13 (Kluwer Academic Publishers, 1999)
S. Whitaker: Ind. Eng. Chem 12, 12 (1969)
W.G. Gray: Chem. Eng. Sci. 3, 229 (1975)
I. Nozad, R.G. Carbonell, S. Whitaker: Chem. Eng. Sci. 40, 843 (1985)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Goyeau, B. (2009). Macroscopic Conduction Models by Volume Averaging for Two-Phase Systems. In: Volz, S. (eds) Thermal Nanosystems and Nanomaterials. Topics in Applied Physics, vol 118. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04258-4_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-04258-4_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04257-7
Online ISBN: 978-3-642-04258-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)