Abstract
Experimental measurements are reported on the controlled solidification of a 30 pct aqueous solution of ammonium chloride in a two-dimensional slot. The actual measurements taken include the transient temperature profiles, the transient velocity fields (using tracers) and photographic observations. Through the statement of the differential energy balance and the laminar Navier-Stokes equations, written for both the liquid and the two phase regions, a mathematical model has been developed for the system. The theoretically predicted temperature and velocity profiles were found to be in good agreement with the experimentally measured values for both the two phase regions and the liquid region. For the experimental conditions the velocities in the liquid region were of the order of 0.4 to 0.8 cm/s, while the corresponding values for the two phase region were at least an order of magnitude smaller.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. C. Flemings: “1974 Howe Memorial Lecture of the Iron and Steel Division,≓Met. Trans., 1974, vol. 5, pp. 2121–34.
M. C. Flemings:Solidification Processing, McGraw Hill, N.Y., 1974.
M. C. Flemings, R. Mehrabian, and G. E. Nereo:Trans. TMS-AIME, 1968, vol. 242, pp. 41–49.
T. S. Piwonka and M. C. Flemings:Trans. TMS-AIME, 1968, vol. 236, p. 1157.
R. Mehrabian and M. C. Flemings:Trans. TMS-AIME, 1969, vol. 245, p. 2349.
Ibid, Met. Trans., 1970,vol. l,pp. 1209–20.
J. Szekely and M. R. Todd:Int. Heat and Mass Transfer, 1971, vol. 14, pp. 467–82.
M. J. Stewart and F. Weinberg:Met. Trans., 1972, vol. 3, pp. 333–37.
J. Szekely and P. S. Chabbra:Met. Trans., 1970, vol. 1, p. 1195.
V. Koump and R. H. Tien:Trans. ASME, 1970, vol. 12, pp. 11–16.
A. Hultgren and C. G. Carlson:Jernkont. Ann., 1936, vol. 120, pp. 600–15.
R. J. McDonald and J. S. Hunt:Trans. TMS-AIME, 1969, vol. 245, pp. 1993- 99.
S. M. Copley, A. F. Giamei, S. M. Johnson, and M. F. Hornbecker:Met. Trans., 1970, vol. 1, p. 2193.
D. Uhlmann, T. Seward, and B. Chalmers:Trans. TMS-AIME, 1966, vol. 236, p. 527.
G. S. Cole and G. F. Boiling:Trans. TMS-AIME, 1965, vol. 233, pp. 1568–72.
K. A. Jackson: “Dendritic Solidification,≓ Movie, Bell Labs.
A. A. Tzavaras and J. F. Wallace:J. of Crys. Growth, 1971, p. 782.
Flow Visualization Symposium, ASME, New York, 1960.
“Physical Measurements in Gas Dynamics and Combustion≓ R. W. Ladenburg, ed., Princeton University Press, New York, 1964.
J.S. Turner:Deep Sea Res., 1967, vol. 14, pp. 599–611.
A. E. Scheidegger:The Physics of Flow Through Porous Media, p. 116, Macmillan Press, New York, 1960.
J. O. Wilkes and S. W. Churchill:AIChE J., 1966, vol. 12, pp. 161–66.
M. R. Todd: Ph.D. Thesis, State University of New York at Buffalo, 1969
J.D Uglas, Jr. and J. W. Gunn:Num. Math., 1964, vol. 6, p. 428.
M. Clark and K. F. Hanse:Numerical Methods of Reactor Analysis, pp. 125- 29, Academic Press, New York, 1964.
A. S. Jassal: Ph.D. Thesis, State University of New York at Buffalo, 1975.
M. J. Stewart and F. Weinberg:Met. Trans., 1972, vol. 3, pp. 333–36.
L. C. MacAuley and F. Weinberg:Met. Trans., 1973, vol. 4, pp. 2097–2107.
J. Szekely and J. H. Chen: inChemical Metallurgy of Iron and Steel, p. 218, The Iron and Steel Institute, 1971.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Szekely, J., Jassal, A.S. An experimental and analytical study of the solidification of a binary dendritic system. Metall Trans B 9, 389–398 (1978). https://doi.org/10.1007/BF02654412
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02654412