Fully anisotropic problems are found where the radiative interaction is due to small-scale elements that lack spherical symmetry, for example: fibrous insulation, finned heat sinks, plant canopies, and some solar energy absorbers. We present the effective bulk optical properties of a PM composed of small-scale opaque cylinders. The properties are derived from data generated by detailed Monte-Carlo numerical experiments. The data reduction procedure is relatively simple and does not require a full solution and optimization of the Radiative Transfer Equation. Benchmark cases are presented, comparing an exact solution (with geometric detail of the cylinder array) and an approximate solution using a continuous PM model with the effective volumetric properties.

Issue Section:
Technical Notes
Keywords:
heat radiation, finite volume methods, arrays, Cylinder, Heat Transfer, Modeling, Numerical Methods, Properties, Radiation
Topics:
Cylinders, Radiation (Physics)
1.
Lee
,
S. C.
,
1990
, “
Scattering Phase Function for Fibrous Media
,”
Int. J. Heat Mass Transf.
,
33
, pp.
2183
–
2190
.
2.
Sparrow
,
E. M.
, and
Vemuri
,
S. B.
,
1985
, “
Natural Convection/Radiation Heat Transfer From Highly Populated Pin-Fin Arrays
,”
Journal of Heat Transfer
,
107
, pp.
190
–
197
.
3.
Mann
,
J.
,
Curry
,
G.
,
Demichele
,
D.
, and
Baker
,
D.
,
1980
, “
Light Penetration in a Row Crop With Random Plant Spacing
,”
Agron. J.
,
72
, pp.
131
–
142
.
4.
Thynell
,
S. T.
, and
Merkle
,
C. L.
,
1989
, “
Analysis of Volumetric Absorption of Solar Energy and Its Interaction With Convection
,”
Journal of Heat Transfer
,
111
, pp.
1006
–
1014
.
5.
Karni
,
J.
,
Kribus
,
A.
,
Rubin
,
R.
, and
Doron
,
P.
,
1998
, “
The Porcupine: A Novel High-Flux Absorber for Volumetric Solar Receivers
,”
ASME J. Sol. Energy Eng.
,
120
, pp.
85
–
95
.
6.
O¨zisik, M. N., and Bokar, J. C., 1995, “Inverse Problems of Radiative Transfer in Absorbing, Emitting and Scattering Media,” 1st Int. Symp. Radiative Transfer, M. P. Menguc, ed., Kusadasi, Turkey, Begell House, pp. 507–520.
7.
Zhang
,
C.
,
Kribus
,
A.
, and
Ben-Zvi
,
R.
,
2001
, “
Volumetric Optical Properties of Fully Anisotropic Participating Media
,”
J. Quant. Spectrosc. Radiat. Transf.
,
69
, pp.
27
–
42
.
8.
Chui
,
E. H.
, and
Raithby
,
G. D.
,
1993
, “
Computation of Radiant Heat Transfer on a Nonorthogonal Mesh Using the Finite-Volume Method
,”
Numer. Heat Transfer, Part B
,
23
, pp.
269
–
288
.
9.
Chai
,
J. C.
,
Lee
,
H. S.
, and
Patankar
,
S. V.
,
1994
, “
Finite-Volume Method for Radiation Heat Transfer
,”
J. Thermophys. Heat Transfer
,
8
, pp.
419
–
425
.
10.
Fiterman
,
A.
,
Ben-Zvi
,
R.
, and
Kribus
,
A.
,
1999
, “
DOTS: Pseudo-Time-Stepping Solution of the Discrete-Ordinate Equations
,”
Numer. Heat Transfer, Part B
,
35
, pp.
163
–
183
.
Copyright © 2002
 by ASME
You do not currently have access to this content.