TY - JOUR
T1 - Microscopic modeling of the two-temperature model for conduction in heterogeneous media
AU - Rees, D Andrew S
PY - 2010
Y1 - 2010
N2 - We consider conduction in a two-phase composite solid or, equivalently, a stagnant porous medium saturated with a single fluid. In particular, we derive and calculate values for the interphase heat transfer coefficient, h, which multiplies the source/sink terms in the two-energy model for conduction in a porous medium. On allowing a uniform heat generation to take place within one of the phases, it is possible to determine h from the difference in the average temperatures of the two phases after the decay of transients. An exact analytical expression is obtained for periodic striped media, which suggests that a new nondimensional parameter might usefully be defined. Exact numerical solutions are obtained for randomly striped media. Precise expressions are also found for the two-dimensional checkerboard pattern and its three-dimensional analogue. We also consider other types of two-dimensional periodic media, and finally, randomly constituted media are analyzed. © 2010 Begell House, Inc.
AB - We consider conduction in a two-phase composite solid or, equivalently, a stagnant porous medium saturated with a single fluid. In particular, we derive and calculate values for the interphase heat transfer coefficient, h, which multiplies the source/sink terms in the two-energy model for conduction in a porous medium. On allowing a uniform heat generation to take place within one of the phases, it is possible to determine h from the difference in the average temperatures of the two phases after the decay of transients. An exact analytical expression is obtained for periodic striped media, which suggests that a new nondimensional parameter might usefully be defined. Exact numerical solutions are obtained for randomly striped media. Precise expressions are also found for the two-dimensional checkerboard pattern and its three-dimensional analogue. We also consider other types of two-dimensional periodic media, and finally, randomly constituted media are analyzed. © 2010 Begell House, Inc.
UR - http://www.scopus.com/inward/record.url?scp=77749343339&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1615/JPorMedia.v13.i2.40
U2 - 10.1615/JPorMedia.v13.i2.40
DO - 10.1615/JPorMedia.v13.i2.40
M3 - Article
SN - 1091-028X
VL - 13
SP - 125
EP - 143
JO - Journal of Porous Media
JF - Journal of Porous Media
IS - 2
ER -