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Morphological Instabilities in Flows with Cooling, Freezing or Dissolution

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Geomorphological Fluid Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 582))

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Abstract

The Earthߣs crust is shaped by a wide range of fluid flows and their characteristic instabilities. Here we consider the flow of silicate melts, either within the crust or as surface lava flows, and the way in which these flows are affected by variable viscosity due to cooling or by a yield strength resulting fromsolidification. These effects invariably lead to non-uniformor three-dimensional flow patterns, particularly fingering and channelisation. In the case of solidifying free-surface flows there is, in addition, a range of three-dimensional surface structures or deformation styles depending on flow conditions. Parallels can be drawn with channeling instabilities that occur in either the dissolution of a porous matrix or precipitation reactions within a matrix during the percolation of an interstitial fluid.

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Author information

Authors and Affiliations

  1. Woods Hole Oceanographic Institution, 02543, Woods Hole, MA, USA

    J. A. Whitehead

  2. Research School of Earth Sciences, The Australian National University, 0200, Canberra, ACT, Australia

    R. W. Griffiths

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  1. J. A. Whitehead
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  2. R. W. Griffiths
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Editors and Affiliations

  1. School of Engineering, University of California at Santa Cruz, 1156 High St., 95064, Santa Cruz, CA, USA

    N. J. Balmforth

  2. Istituto di Scienze dell’Atmosfera e del Clima, CNR, Corso Fiume 4, 10133, Torino, Italy

    A. Provenzale

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Whitehead, J.A., Griffiths, R.W. (2001). Morphological Instabilities in Flows with Cooling, Freezing or Dissolution. In: Balmforth, N.J., Provenzale, A. (eds) Geomorphological Fluid Mechanics. Lecture Notes in Physics, vol 582. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45670-8_6

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  • DOI: https://doi.org/10.1007/3-540-45670-8_6

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  • Print ISBN: 978-3-540-42968-5

  • Online ISBN: 978-3-540-45670-4

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