T his monograph aims at providing, through integration of available theo-
retical and empirical treatments, the differential conservation equations and
the associated constitutive equations required for the analysis of transport
in porous media. Although the empirical treatment of fluid flow and heat
transfer in porous media is over a century old, only in the last four decades
has the transport in these heterogeneous systems been addressed in suf-
ficient detail. So far, single-phase flow and heat transfer in porous media
have been treated or at least formulated satisfactorily. But the subject of
two-phase flow and the related heat transfer in porous media is still in its
infancy. This monograph identifies the principles of transport in porous
media, reviews the available rigorous treatments, and whenever possible
compares the available predictions, based on these theoretical treatments
of various transport mechanisms, with the existing experimental results.
The theoretical treatment is based on the local volume-averaging of the
momentum and energy equations with the closure conditions necessary
for obtaining solutions. While emphasizing a basic understanding of heat
transfer in porous media, the monograph does not ignore the need for the
predictive tools. Therefore, whenever a rigorous theoretical treatment of a
phenomenon is not available, semiempirical and empirical treatments are
given.
The monograph is divided into two parts: Part I deals with single-phase
flows and Part II covers two-phase flows. For single-phase flows, all modes of
heat transfer are examined first using a single-continuum treatment based
on the assumption of a local thermal equilibrium. A two-medium treatment
is then made. In Part II, pore-level fluid mechanics and the thermodynam-
ics for the simultaneous presence of both fluid phases in porous media are
addressed. Conduction and convection heat transfer are then examined.
The heat and mass transfer from surfaces bounding these porous media,
which contain both liquid and gaseous phases, is also presented. Since the
fluid dynamics of two-phase flow involving phase change is not yet fully
understood, specific phase-change processes and their peculiarities are dis-
cussed in the last chapter. The contents of each chapter are briefly reviewed
here.
retical and empirical treatments, the differential conservation equations and
the associated constitutive equations required for the analysis of transport
in porous media. Although the empirical treatment of fluid flow and heat
transfer in porous media is over a century old, only in the last four decades
has the transport in these heterogeneous systems been addressed in suf-
ficient detail. So far, single-phase flow and heat transfer in porous media
have been treated or at least formulated satisfactorily. But the subject of
two-phase flow and the related heat transfer in porous media is still in its
infancy. This monograph identifies the principles of transport in porous
media, reviews the available rigorous treatments, and whenever possible
compares the available predictions, based on these theoretical treatments
of various transport mechanisms, with the existing experimental results.
The theoretical treatment is based on the local volume-averaging of the
momentum and energy equations with the closure conditions necessary
for obtaining solutions. While emphasizing a basic understanding of heat
transfer in porous media, the monograph does not ignore the need for the
predictive tools. Therefore, whenever a rigorous theoretical treatment of a
phenomenon is not available, semiempirical and empirical treatments are
given.
The monograph is divided into two parts: Part I deals with single-phase
flows and Part II covers two-phase flows. For single-phase flows, all modes of
heat transfer are examined first using a single-continuum treatment based
on the assumption of a local thermal equilibrium. A two-medium treatment
is then made. In Part II, pore-level fluid mechanics and the thermodynam-
ics for the simultaneous presence of both fluid phases in porous media are
addressed. Conduction and convection heat transfer are then examined.
The heat and mass transfer from surfaces bounding these porous media,
which contain both liquid and gaseous phases, is also presented. Since the
fluid dynamics of two-phase flow involving phase change is not yet fully
understood, specific phase-change processes and their peculiarities are dis-
cussed in the last chapter. The contents of each chapter are briefly reviewed
here.
