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Growth of needle and plate shaped particles : Theory for small supersaturations, maximum velocity hypothesis

Rivera-Díaz-del-Castillo, P. E.J. and Bhadeshia, H. K.D.H. (2001) Growth of needle and plate shaped particles : Theory for small supersaturations, maximum velocity hypothesis. Materials Science and Technology, 17 (1). pp. 25-29. ISSN 0267-0836

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Abstract

A solution to the diffusion controlled growth of needle and plate shaped particles is presented as their shape approaches respectively a paraboloid of revolution or a parabolic cylinder, under small supersaturation values, when capillarity and interface kinetic effects are present. The solutions show that as supersaturation decreases, the growth rate and needle tip radius approach a common value regardless of interfacial kinetics effects as capillarity is the main factor that retards particle growth. Simple asymptotic expressions are thus obtained to predict the growth rate and tip radius at low supersaturations, assuming a maximum velocity hypothesis. These represent the circumstances during solid state precipitation reactions which lead to secondary hardening in steels.

Item Type: Journal Article
Journal or Publication Title: Materials Science and Technology
Subjects:
Departments: Faculty of Science and Technology > Engineering
ID Code: 125501
Deposited By: ep_importer_pure
Deposited On: 24 May 2018 16:38
Refereed?: Yes
Published?: Published
Last Modified: 05 Dec 2018 03:36
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/125501

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