This study numerically evaluates thermofluid flow characteristics in porous medium by a newly developed “modified two-phase mixture model” applying Ergun’s law and a two-energy model instead of a one-energy model. In a single-phase flow case, thermal nonequilibrium between a solid phase and a fluid phase is observed in the area where imposed heat conducts from a heating wall and further convective heat transfer is more active. The degree of thermal nonequilibrium has a positive correlation with the increase in flow velocity and heat flux input. In the case of two-phase flow, the thermal nonequilibrium is remarkable in the two-phase region because the solid-phase temperature in this region is far beyond saturation temperature. A difference between these two models is obvious especially in the two-phase flow case, so that the numerical simulation with the modified two-phase mixture model is indispensable under the high heat flux conditions of over $1MW∕m2$.

1.
Toda
,
S.
,
Ebara
,
S.
, and
Hashizume
,
H.
, 1998, “
Fundamental Study on High Heat Flux Removal System Using Evaporated Fluid in Metal Porous Media
,”
Proceedings of the 11th International Heat Transfer Conference 11th IHTC
, Vol.
4
, pp.
503
508
.
2.
Toda
,
S.
, and
Yuki
,
K.
, 2000, “A Challenge to Extremely High Heat Flux Removal Technique Using a Porous Medium,” Journal of the Heat Transfer Society of Japan, 39(159), pp. 23–28, in Japanese.
3.
Yuki
,
K.
,
Abei
,
J.
,
Hashizume
,
H.
, and
Toda
,
S.
, 2005, “
Super-High Heat Flux Removal Using Sintered Metal Porous Media
,”
J. Therm. Sci.
1003-2169,
14
(
3
), pp.
272
280
.
4.
Wang
,
C. Y.
, and
Beckermann
,
C.
, 1993, “
A Two-Phase Mixture Model of Liquid-Gas Flow and Heat Transfer in Capillary Porous Media—I. Formulation
,”
Int. J. Heat Mass Transfer
0017-9310,
36
(
11
), pp.
2747
2758
.
5.
Abei
,
J.
,
Yuki
,
K.
,
Hashizume
,
H.
, and
Toda
,
S.
, 2004, “
Thermo-Fluid Analysis of Two Phase Flow With Phase Change Against Intense Heat in Porous Media
,”
Proceedings of Third International Symposium on Heat Transfer Enhancement and Energy Conservation ISHTEEC’03
, Vol.
1
, pp.
319
327
.
6.
Wang
,
C. Y.
, 1997, “
A Fixed-Grid Numerical Algorithm for Two-Phase Flow and Heat Transfer in Porous Media
,”
Numer. Heat Transfer, Part B
1040-7790,
31
, pp.
85
105
.
7.
Ergun
,
S.
, 1952, “
Fluid Flow Through Packed Columns
,”
Chem. Eng. Prog.
0360-7275,
48
, pp.
89
94
.
8.
Zhao
,
T. S.
,
Cheng
,
P.
, and
Wang
,
C. Y.
, 2000, “
Buoyancy-Induced Flows and Phase-Change Heat Transfer in a Vertical Capillary Structure With Symmetric Heating
,”
Chem. Eng. Sci.
0009-2509,
55
, pp.
2653
2661
.
9.
Peterson
,
G. P.
, and
Chang
,
C. S.
, 1997, “
Heat Transfer Analysis and Evaluation for Two-Phase Flow in Porous-Channel Heat Sinks
,”
Numer. Heat Transfer, Part A
1040-7782,
31
, pp.
113
130
.
10.
Udell
,
K. S.
, 1983, “
Heat Transfer in Porous Media Heated From Above With Evaporation, Condensation, and Capillary Effects
,”
ASME J. Heat Transfer
0022-1481,
105
, pp.
485
492
.
11.
Yagi
,
S.
, and
Kunii
,
D.
, 1957, “
Studies on Effective Thermal Conductivities in Packed Beds
,”
AIChE J.
0001-1541,
3
, pp.
373
381
.
12.
Yagi
,
S.
, and
Kunii
,
D.
, 1960, “
Studies on Heat Transfer Near Wall Surface in Packed Beds
,”
AIChE J.
0001-1541,
6
, pp.
97
104
.
13.
Wakao
,
N.
, 1979, “
Effect of Fluid Dispersion Coefficients on Particle-to-Fluid Heat Transfer Coefficients in Packed Beds
,”
Chem. Eng. Sci.
0009-2509,
34
, pp.
325
336
.
14.
Rohsenow
,
W. M.
, 1952, “
A Method of Correlating Heat Transfer Data for Surface Boiling of Liquids
,”
Trans. ASME
0097-6822,
74
, pp.
969
976
.
15.
Clark
,
J. A.
, and
Rohsenow
,
W. M.
, 1954, “
Local Boiling Heat Transfer to Water at Low Reynolds Numbers and High Pressures
,”
Trans. ASME
0097-6822,
76
, pp.
554
562
.
16.
Oda
,
Y.
,
Iwai
,
H.
,
Suzuki
,
K.
, and
Yoshida
,
H.
, 2003, “
Numerical Study of Conjugate Heat Transfer for Channel Filled With Porous Insert
,” The Sixth ASME-JSME Thermal Engineering Joint Conference, Paper No. TED-AJ03-418.
17.
Patankar
,
S. V.
, 1980,
Numerical Heat Transfer and Fluid Flow
,
McGraw-Hill
,
New York
.
18.
Togashi
,
H.
,
Yuki
,
K.
, and
Hashizume
,
H.
, 2005, “
Heat Transfer Enhancement Technique With Copper Fiber Porous Media
,”
Fusion Sci. Technol.
1536-1055,
47
(
3
), pp.
740
745
.