Eur. Phys. J. Appl. Phys.
Volume 40, Number 2, November 2007
|Page(s)||221 - 239|
|Section||Physics and Mechanics of Fluids, Microfluidics|
|Published online||21 September 2007|
Stochastic convective transport in presence of fragmented dendrites in a solidifying binary melt
Department of Mechanical Engineering,
Indian Institute of Technology, Kharagpur 721302, India
Corresponding author: email@example.com
Revised: 18 July 2007
Accepted: 26 July 2007
Published online: 21 September 2007
A comprehensive integrated model of stochastic convective transport in a solidifying binary melt is presented in this work. The detailed transport phenomena in the particle and bulk phases are coupled together through a stochastic Eulerian-Lagrangian formalism, capturing the physical mechanisms and consequences of particle agglomeration, de-agglomeration, and the underlying hydrodynamic interactions. The interactions between random thermo-fluidic fluctuations in the continuum carrier phase and the associated growth/dissolution of particle phases are modeled by employing a Langevin formalism. Representative case studies highlighting the implications of the dynamics of the fragmented dendrites on the overall convective patterns in an electromagnetically-stirred semi-solid binary melt are subsequently presented, so as to emphasize on the comprehensive physical bases and to illustrate the fundamental approach of the present predictive methodology.
PACS: 47.20.-k – Flow instabilities
© EDP Sciences, 2007
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