Theoretical solution for the solidification process around a horizontal tube with internal convection cooling is described in this paper. Boundary layer analysis and the approximate integral method were applied to obtain the solution for the natural convection in the liquid region and the transient temperature profile in the solid region. Effects of Biot number on the wall temperature and the volume fraction solidified are also discussed in this paper.

1.
Bathelt
A. G.
,
Buren
Van
, and
Viskanta
R.
,
1979
, “
Heat Transfer During Solidification Around a Cooled Horizontal Cylinder
,” Heat Transfer San Diego,
AIChE Symposium Series
, Vol.
75
, No.
189
, pp.
103
111
.
2.
Bathelt
A. G.
, and
Viskanta
R.
,
1979
, “
Heat Transfer and Interface Motion During Melting and Solidification Around a Finned Heat Source/Sink
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
103
, pp.
720
726
.
3.
Gadgil
A.
, and
Gobin
D.
,
1984
, “
Analysis of Two-Dimensional Melting in Rectangular Enclosures in Presence of Convection
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
106
, pp.
20
26
.
4.
Sparrow
E. M.
,
Ramsey
J. M.
, and
Kemink
R. G.
,
1979
, “
Freezing Controlled by Natural Convection
,”
ASME JOURNAL OF HEAT TRANSFER
, Vol.
101
, pp.
578
584
.
5.
Squire, H. B., 1965, Integral Solution Published in Modern Developments in Fluid Dynamics, S. Goldstein, ed., Vol. 2, Dover, New York, pp. 641–643.
6.
Viskanta, R., 1983, “Phase Change Heat Transfer,” Solar Heat Storage: Latent Heat Materials, G. A. Lane, ed., CRC Press, Boca Raton, FL.
7.
Wang, Q. J., Wang, C., and Chen, Z. Q., 1991, “Heat Transfer During Superheated Solidification around Bare Tube and Finned Tubes,” Experimental Heat Transfer, Fluid Mechanics and Thermodynamics 1991, Elsevier, New York, pp. 1171–1176.
8.
Zhang
Z.
, and
Bejan
A.
,
1990
, “
Solidification in the Presence of High Rayleigh Number Convection in an Enclosure Cooled from the Side
,”
Int. J. Heat and Mass Transfer
, Vol.
33
, pp.
661
671
.
This content is only available via PDF.
You do not currently have access to this content.