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Self-Organization in Far-from-Equilibrium Reactive Porous Media Subject to Reaction Front Fingering

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Patterns, Defects and Materials Instabilities

Part of the book series: NATO ASI Series ((NSSE,volume 183))

Abstract

When a porous medium constituted of grains that may dissolve or grow is subject to a flow-through of reactive fluids it may display a variety of self-organization phenomena. The system may support reaction fronts that can become morphologically unstable to the formation of scalloping, fingering and dendrites that themselves can become unstable to the generation of smaller spatial scale structure. The purpose of the present article is to introduce the reader to the physics and chemistry of these systems, the mathematical reaction-transport models that have been used to describe them and to the types of pattern formation that can arise. Our focus will be on results on the states of theses systems under very far-from- equilibrium conditions. We demonstrate the genesis of complex branching tree and dynamical dendritic states.

Research supported in part by a grant from the Basic Energy Sciences Program of the US Department of Energy

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© 1990 Kluwer Academic Publishers

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Ortoleva, P., Chen, W. (1990). Self-Organization in Far-from-Equilibrium Reactive Porous Media Subject to Reaction Front Fingering. In: Walgraef, D., Ghoniem, N.M. (eds) Patterns, Defects and Materials Instabilities. NATO ASI Series, vol 183. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0593-1_17

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  • DOI: https://doi.org/10.1007/978-94-009-0593-1_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6755-3

  • Online ISBN: 978-94-009-0593-1

  • eBook Packages: Springer Book Archive

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