Growth of needle and plate shaped particles: theory for small supersaturations, maximum velocity hypothesis
Growth of needle and plate shaped particles: theory for small supersaturations, maximum velocity hypothesis
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.
25-29
Rivera-Díaz-del-Castillo, P.E.J.
6e0abc1c-2aee-4a18-badc-bac28e7831e2
Bhadeshia, H.K.D.H.
5acfa64d-521d-442c-8ce1-5636da04621a
January 2001
Rivera-Díaz-del-Castillo, P.E.J.
6e0abc1c-2aee-4a18-badc-bac28e7831e2
Bhadeshia, H.K.D.H.
5acfa64d-521d-442c-8ce1-5636da04621a
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), .
(doi:10.1179/026708301101509070).
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.
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Accepted/In Press date: 31 May 2000
Published date: January 2001
Identifiers
Local EPrints ID: 492399
URI: http://eprints.soton.ac.uk/id/eprint/492399
ISSN: 0267-0836
PURE UUID: 4b2cbd70-7d0a-4341-96fe-3bb0ba286651
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Date deposited: 25 Jul 2024 17:03
Last modified: 26 Jul 2024 02:09
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Author:
P.E.J. Rivera-Díaz-del-Castillo
Author:
H.K.D.H. Bhadeshia
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