Buoyancy driven dissolution of inclined blocks: Erosion rate and pattern formation Article Swipe
Caroline Cohen
,
Michaël Berhanu
,
Julien Derr
,
Sylvain Courrech du Pont
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2004.09898
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2004.09898
The dissolution of a body into quiescent water leads to density stratifications at the interfaces that drive buoyant flows. Where the stratification is unstable, the flow destabilizes into convective solute plumes. By analogy with the Rayleigh-Bénard instability where concentration replaces temperature, this phenomenon is known as the solutal Rayleigh-Bénard instability. Here we report experiments of the dissolution of inclined rectangular blocks made of salt, caramel or plaster in aqueous solutions of various concentrations. The solute flows along the block while forming plumes before they detach and sink. This flow along the block organizes the emission of plumes within longitudinal parallel stripes with a well-defined millimeter scale wavelength. The instability of the flow reflects on the concentration field in the boundary layer, which engraves longitudinal grooves onto the block. These grooves interact with the flow and turn into a paving of 3 dimensional cup like patterns that grow in size and propagate upstream. These bedforms are reminiscent of the scallop bedforms observed on the walls of cave or icebergs. Whereas the block interface is highly dynamical and evolves through time, it remains flat on the global scale and recedes at a stationary rate. We derive scaling laws for the receding velocity and the pattern genesis at the inclined interface that is based on a concentration boundary layer of constant thickness, which is controlled by the flow instability, but where the patterns nor the flow along the block do not play any role. We apply these results to the formation of sublimation patterns.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2004.09898
- https://arxiv.org/pdf/2004.09898
- OA Status
- green
- Cited By
- 1
- References
- 47
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W3032535873
All OpenAlex metadata
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- OpenAlex ID
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https://openalex.org/W3032535873Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2004.09898Digital Object Identifier
- Title
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Buoyancy driven dissolution of inclined blocks: Erosion rate and pattern formationWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2020Year of publication
- Publication date
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2020-04-21Full publication date if available
- Authors
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Caroline Cohen, Michaël Berhanu, Julien Derr, Sylvain Courrech du PontList of authors in order
- Landing page
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https://arxiv.org/abs/2004.09898Publisher landing page
- PDF URL
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https://arxiv.org/pdf/2004.09898Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2004.09898Direct OA link when available
- Concepts
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Instability, Buoyancy, Mechanics, Bedform, Geology, Froude number, Boundary layer, Convection, Plume, Geometry, Materials science, Flow (mathematics), Meteorology, Physics, Geomorphology, Sediment transport, Sediment, MathematicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
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2020: 1Per-year citation counts (last 5 years)
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20Other works algorithmically related by OpenAlex
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