Abstract
The effect of capillarity-driven diffusion on the recalescence of mushy zones is studied in pure materials. A global description of this phenomenon is presented which relates a characteristic lengthscale of the microstructure, R̄, to the mean undercooling of the mixture, <ΔT>. Experiments on mushy zones in succinonitrile, ethylene carbonate and ice/water indicate that the mean undercooling decays as t-1/3, implying that the characteristic lengthscale of the system grows as t1/3. This result is in agreement with the interpretation of coarsening as a statistical ripening phenomenon.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
R. K. Trivedi, “Theory of Capillarity,” in Lectures on the Theory of Phase Transformations, H. Aaronson, ed., The Metallurgical Society/AIME, New York (1975), pp. 51–81.
T. Z. Kattamis, J. C. Coughlin and M. C. Flemings, “Influence of Coarsening on Dendrite Arm Spacing of Aluminum-Copper Alloys,” Trans. AIME, 234 (1967), pp. 1504–1511.
P. W. Voorhees, “The Theory of Ostwald Ripening,” J. Stat. Phys., 38 (1985), pp. 231–252.
T. Z. Kattamis and M. C. Flemings, “Dendrite Structure and Grain Size of Undercooled Melts,” Trans. AIME, 236 (1966), pp. 1523–1532.
M. Basaran, “Dendrite Coarsening and Microsegregati on in Al-Cu Alloys,” Met. Trans., 12A (1981), pp. 1235–1243.
J. J. Reeves and T. Z. Kattamis, “A Model for Isothermal Dendritic Coarsening,” Scripta Met., 5 (1971), pp. 223–230.
N. J. Whisler and T. Z. Kattamis, “Dendritic Coarsening During Solidification,” J. Crystal Growth, 15 (1972), pp. 20–24.
M. E. Glicksman and P. W. Voorhees, “Ostwald Ripening and Relaxation in Dendritic Structures,” Met. Trans., 15A (1984), pp. 995–1001.
R. T. DeHoff and C. V. Iswaran, “The Usefulness of Integral Mean Curvature Measurements in the Study of the Kinetics of Coarsening,” Met. Trans., 13A (1982), pp. 1384–1395.
R. T. DeHoff, private communication.
P. W. Voorhees, “Ostwald Ripening in Two-Phase Mixtures,” Ph.D. Dissertation, Rensselaer Polytechnic Institute (1982).
W. W. Mullins, “The Statistical Self-Similarity Hypothesis in Grain Growth and Particle Coarsening,” J. Appl. Phys., 59 (1986), pp. 1341–1349.
M. E. Glicksman, R. J. Schaefer and J. D. Ayers, “Dendritic Growth — A Test of Theory,” Met. Trans., 7A (1976), pp. 1747–1759.
“The International Practical Temperature Scale of 1968,” Metrologia, 5 (1969), pp. 35–44.
J. A. Dantzig, “Improved Transient Response of Thermocouple Sensors,” Rev. Sci. Instrum., 56 (1985), pp. 723–725.
P. W. Voorhees and M. E. Glicksman, “Thermal Measurement of Ostwald Ripening Kinetics in Partially Crystallized Mixtures,” J. Crystal Growth, 72 (1985), pp. 599–615.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Martinus Nijhoff Publishers, Dordrecht
About this chapter
Cite this chapter
Marsh, S.P., Glicksman, M.E. (1987). Evolution of Lengthscales in Partially Solidified Systems. In: Loper, D.E. (eds) Structure and Dynamics of Partially Solidified Systems. NATO ASI Series, vol 125. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3587-7_2
Download citation
DOI: https://doi.org/10.1007/978-94-009-3587-7_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8104-7
Online ISBN: 978-94-009-3587-7
eBook Packages: Springer Book Archive