๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On primary dendritic spacing during unidirectional solidification

โœ Scribed by G.L. Ding; W.D. Huang; X. Huang; X. Lin; Y.H. Zhou


Book ID
103997326
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
570 KB
Volume
44
Category
Article
ISSN
1359-6454

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โœฆ Synopsis


In-situ observations of directionally solidifying interface of typical transparent model alloys, succinonitrile-ethanol and succinonitrile-acetone, have been performed on a Hunt-Jackson type temperature gradient stage and a Bridgman apparatus, respectively. Experimental results show that there exists a wide allowable range of primary spacings for both the two-dimensional and the three-dimensional dendritic arrays under a given growth condition. The upper and lower limits of the allowable range are very sharp at the same current growth condition, while the average primary spacing is remarkably related to the history of variation of both temperature gradient and growth velocity. The upper limit, A,,,, and the lower one, A,,,,,, of the allowable range as a function of growth velocity, V, obtained from the experiments of step-increment and step-decrement in growth velocity, can be generally expressed as A,,, = AV-, I,,. = cV-", where a, b, c and dare constants for given alloy and temperature gradient. The lower limit obtained experimentally by us is compared with that calculated theoretically with the Hunt&Lu model and the Warren-Langer model; it shows an excellent fit between experimental results and the Hunt-Lu model, and good agreement between experimental results and the Warren-Langer model at the high growth velocity.


๐Ÿ“œ SIMILAR VOLUMES


Primary dendrite spacing in constrained
โœ Lasse Makkonen ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 203 KB

A theory of primary dendrite spacing 21 in directional solidification of alloys is developed based on thermodynamic and geometric arguments. The result for a cubic material is ~t = (:rA TRIG) ~~, where A T is the unit thermal undercooling, R is the tip radius and G is the temperature gradient. This