A Free Boundary Model for Rosette Formation during Semi-Solid Processing

  1. Prof. Yves Bréchet
  1. Andrew M. Mullis

Published Online: 19 DEC 2005

DOI: 10.1002/3527606157.ch6

Microstructures, Mechanical Properties and Processes - Computer Simulation and Modelling, Volume 3

Microstructures, Mechanical Properties and Processes - Computer Simulation and Modelling, Volume 3

How to Cite

Mullis, A. M. (2000) A Free Boundary Model for Rosette Formation during Semi-Solid Processing, in Microstructures, Mechanical Properties and Processes - Computer Simulation and Modelling, Volume 3 (ed Y. Bréchet), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527606157.ch6

Editor Information

  1. Institut Nat. Polytechnique de Grenoble, L.T.P.-C.M. ENSEEG, BP75, Domaine Universitaires, 38402 Saint Martin D'Hères Cedex, France; Tel.: 0033–76–82 6610; Fax: 0033–76–82 6644

Author Information

  1. Department of Materials, University of Leeds, Leeds LS2 9JT, UK

Publication History

  1. Published Online: 19 DEC 2005
  2. Published Print: 20 APR 2000

Book Series:

  1. EUROMAT 99

ISBN Information

Print ISBN: 9783527301225

Online ISBN: 9783527606153

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Keywords:

  • microstructures;
  • computer simulation;
  • free boundary model;
  • dendritic growth;
  • rosette formation;
  • semi-solid processing

Summary

A free boundary model for dendritic growth in a non-stationary fluid is presented. The model is used to evaluate the effect of fluid flow orthogonal to the principal growth direction. We find that such a flow causes rotation of the tip due to thermal/solutal advection and that, for small angular deflections, the rotation is a constant per unit length of growth. This rotation is found to be a function of the cross flow and growth Peclet numbers. The results from the dendrite growth model are used in a Cellular Automaton (CA) model of rosette formation. We find that the predicted bending rates could give rise to rosette formation without the need to invoke mechanical effects.