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  • Cited by 2
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Cohen, Caroline Berhanu, Michael Derr, Julien and Courrech du Pont, Sylvain 2016. Erosion patterns on dissolving and melting bodies. Physical Review Fluids, Vol. 1, Issue. 5,


    Kondratiuk, Paweł and Szymczak, Piotr 2015. Steadily Translating Parabolic Dissolution Fingers. SIAM Journal on Applied Mathematics, Vol. 75, Issue. 5, p. 2193.


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  • Journal of Fluid Mechanics, Volume 765
  • February 2015, R3

Shape dynamics and scaling laws for a body dissolving in fluid flow

  • Jinzi Mac Huang (a1), M. Nicholas J. Moore (a1) (a2) and Leif Ristroph (a1)
  • DOI: http://dx.doi.org/10.1017/jfm.2014.718
  • Published online: 26 January 2015
Abstract
Abstract

While fluid flows are known to promote dissolution of materials, such processes are poorly understood due to the coupled dynamics of the flow and the receding surface. We study this moving boundary problem through experiments in which hard candy bodies dissolve in laminar high-speed water flows. We find that different initial geometries are sculpted into a similar terminal form before ultimately vanishing, suggesting convergence to a stable shape–flow state. A model linking the flow and solute concentration shows how uniform boundary-layer thickness leads to uniform dissolution, allowing us to obtain an analytical expression for the terminal geometry. Newly derived scaling laws predict that the dissolution rate increases with the square root of the flow speed and that the body volume vanishes quadratically in time, both of which are confirmed by experimental measurements.

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Corresponding author
Email address for correspondence: ristroph@cims.nyu.edu
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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