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Theories of Mushy Zones: Applications to Alloy Solidification, Magma Transport, Frost Heave and Igneous Intrusions

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Structure and Dynamics of Partially Solidified Systems

Part of the book series: NATO ASI Series ((NSSE,volume 125))

Abstract

This paper attempts to review some of the different physical contexts in which partially molten (or partially frozen) zones occur, and to outline some of the problems which one encounters in attempting to model such zones realistically. The nature of averaged equations for reactive two-phase regions is first discussed for the case of a solidifying alloy, in which the fluid velocity is zero. Four principal examples are then discussed, in which fluid flow is important. These are alloy solidification, magma transport, frost heave, and the solidification of igneous intrusions. Various similar mathematical features in the models are pointed out, as well as some common difficulties in their formulation.

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  1. Mathematical Institute, 24-29 St. Giles’, Oxford, 0X1 3LB, England

    A. C. Fowler

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  1. Florida State University, Tallahassee, FL, 32306, USA

    David E. Loper (Professor of Mathematics) (Professor of Mathematics)

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Fowler, A.C. (1987). Theories of Mushy Zones: Applications to Alloy Solidification, Magma Transport, Frost Heave and Igneous Intrusions. In: Loper, D.E. (eds) Structure and Dynamics of Partially Solidified Systems. NATO ASI Series, vol 125. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3587-7_11

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