The volume-averaged energy equations

Hitoshi Sakamoto, Francis A. Kulacki

Research output: Chapter in Book/Report/Conference proceedingChapter


The chapter presents an exposition of the governing equations for heat transfer between the solid and fluid phases of a saturated porous medium. Volume-averaged equations are developed from first principles based on Wittaker’s formulation for the solid and fluid phases with application to the current case where there is convective motion and dispersion in the fluid phase. A one-equation model is developed. Determining thermal dispersion is a remaining unsolved problem.

Original languageEnglish (US)
Title of host publicationSpringerBriefs in Applied Sciences and Technology
PublisherSpringer Verlag
Number of pages9
StatePublished - 2018

Publication series

NameSpringerBriefs in Applied Sciences and Technology
ISSN (Print)2191-530X
ISSN (Electronic)2191-5318

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer International Publishing AG.


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