Why solidification has an S-shaped history - INSA Toulouse - Institut National des Sciences Appliquées de Toulouse
Article Dans Une Revue Scientific Reports Année : 2013

Why solidification has an S-shaped history

Résumé

Here we show theoretically that the history of solid growth during "rapid" solidification must be S-shaped, in accord with the constructal law of design in nature. In the beginning the rate of solidification increases and after reaching a maximum it decreases monotonically as the volume of solid tends toward a plateau. The S-history is a consequence of four configurations for the flow of heat from the solidification front to the subcooled surroundings, in this chronological order: solid spheres centered at nucleation sites, needles that invade longitudinally, radial growth by conduction, and finally radial lateral conduction to interstices that are warming up. The solid volume (B-s) vs time (t) is an S-curve because it is a power law of type B-s similar to t(n) where the exponent n first increases and then decreases in time (n = 3/2, 2, 1, ... ). The initial portion of the S curve is not an exponential.

Domaines

Génie civil
Fichier principal
Vignette du fichier
srep01711.pdf (755.85 Ko) Télécharger le fichier
Origine Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01850834 , version 1 (14-06-2019)

Identifiants

Citer

Adrian Bejan, Sylvie Lorente, B. S. Yilbas, A. Z. Sahin. Why solidification has an S-shaped history. Scientific Reports, 2013, 3 (1), pp.1711. ⟨10.1038/srep01711⟩. ⟨hal-01850834⟩
42 Consultations
89 Téléchargements

Altmetric

Partager

More