This article gives an appraisal of existing analytical one-dimensional models for the packed bed thermal energy storage (TES) systems utilizing sensible heat storage (SHS) materials. The models include that of Schumann, which is for separate phases, but does not include axial conductivity (or dispersion) in the bed, and the single-phase model of Riaz which includes axial dispersion. An alternative axial conductivity model is proposed which compares well with the Schumann model when axial dispersion is negligible, but otherwise caters adequately for axial dispersion at the low Peclet number condition.

Issue Section:
Research Papers
Topics:
Heat storage, Thermal energy storage, Thermal conductivity
1.
Adebiyi
G. A.
,
1991
, “
A Second-Law Study on Packed Bed Energy Storage Systems Utilizing Phase-Change Materials
,”
ASME Journal of Solar Energy Engineering
, Vol.
113
, pp.
146
–
156
.
2.
Beasley
D. E.
, and
Clark
J. A.
,
1984
, “
Transient Response of a Packed Bed for Thermal Energy Storage
,”
International Journal of Heat and Mass Transfer
, Vol.
27
, No.
9
, pp.
1659
–
1669
.
3.
Danckwerts
P. V.
,
1953
, “
Continuous Flow Systems: Distribution of Residence Times
,”
Chemical Engineering Science
, Vol.
2
, No.
1
, pp.
1
–
13
.
4.
Handley
D.
, and
Heggs
P. J.
,
1969
, “
The Effect of Thermal Conductivity of the Packing Material on Transient Heat Transfer in a Fixed Bed
,”
International Journal of Heat and Mass Transfer
, Vol.
12
, pp.
549
–
570
.
5.
Kaguei
S.
,
Shiozawa
B.
, and
Wakao
N.
,
1977
, “
Dispersion-Concentric Model for Packed Bed Heat Transfer
,”
Chemical Engineering Science
, Vol.
32
, pp.
507
–
513
.
6.
Klinkenberg
A.
,
1954
, “
Heat Transfer in Cross-Flow Heat Exchangers and Packed Beds: Evaluation of Equations for Penetration of Heat or Solutes
,”
Industrial and Engineering Chemistry
, Vol.
46
, No.
11
, pp.
2285
–
2289
.
7.
Riaz
M.
,
1977
, “
Analytical Solutions for Single and Two-Phase Models of Packed-Bed Thermal Storage Systems
,”
ASME Journal of Heat Transfer
, Vol.
99
, pp.
489
–
492
.
8.
Schumann
T. E. W.
,
1929
, “
Heat Transfer: A Liquid Flowing Through a Porous Prism
,”
Journal of Franklin Institute
, Vol.
208
, pp.
405
–
416
.
9.
Schmidt, F. W., and Wilmott, A. J., 1981, Thermal Energy Storage and Regeneration, Hemisphere Publ. Corp., New York, NY.
10.
Shah, R. K., 1981, “Thermal Design Theory for Regenerators,” Heat Exchangers: Thermal-Hydraulic Fundamentals and Design, eds., S. Kakac, A. E. Bergles, and F. Maylinger, Hemisphere Publ. Corp., New York, NY, pp. 721–763.
11.
Standart
G.
,
1968
, “
The Thermodynamic Significance of the Danckwerts’ Boundary Conditions
,”
Chemical Engineering Science
, Vol.
23
, pp.
645
–
655
.
12.
Vortmeyer
D.
, and
Schaefer
R. J.
,
1974
, “
Equivalence of One and Two-Phase Models for Heat Transfer Processes in Packed Beds: One Dimensional Theory
,”
Chemical Engineering Science
, Vol.
29
, pp.
485
–
491
.
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