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Numerical Modeling of Multiphase Flows in Materials Processing

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Modeling Multiphase Materials Processes

Abstract

This chapter discusses the numerical approaches to solving multiphase flow in materials processing. Chapter ?? already provided basic introduction to the modeling of gas–liquid phenomena. The focus in this chapter is liquid–solid systems which is prevalent in continuous casting operations. The general approach to numerical modeling is presented with reference to alloy solidification in order to provide additional examples of modeling complex multiphase systems. Such a system is complicated by the existence of an intermediate “mushy” zone due to phase transformation. Three approaches are generally used for modeling such multiphase systems namely, the continuum mixture models, two-phase models, and multi-region models. Control volume methods are usually employed for discretization of the transport equations in continuum mixture models and two-phase models, while the finite element methods (FEMs) are preferred in continuum mixture models. Multi-domain models usually involve the reduction of the partial differential equations to ordinary differential equations which are solved either analytically or numerically.

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Authors and Affiliations

  1. Graduate School of Engineering Division Materials Science & Engineering, Hokkaido University, Sapporo, Hokkaido, 060-8628, Japan

    Manabu Iguchi

  2. Department of Mechanical, Materials & Aerospace Engineering, University of Central Florida, Central Florida Blvd. 4000, Orlando, Fl, 32816, USA

    Olusegun J. Ilegbusi

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Iguchi, M., Ilegbusi, O.J. (2011). Numerical Modeling of Multiphase Flows in Materials Processing. In: Modeling Multiphase Materials Processes. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7479-2_10

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