Impact of fluid deformation on mixing-induced chemical reactions in heterogeneous flows
Fast chemical reactions in geophysical flows are controlled by fluid mixing, which perturbs local chemical equilibria and thus triggers chemical reactions. Spatial fluctuations in the flow velocity lead to deformation of material fluid elements, which form the support volumes of transported chemical species. We develop an approach based on a lamellar representation of fluid mixing that provides a direct link between fluid deformation, the distribution of concentration gradients, and the upscaled reaction rates for fast reversible reactions. The temporal evolution of effective reaction rates is determined by the flow topology and the distribution of local velocity gradients. This leads to a significant increase of the reaction efficiency, which turns out to be orders of magnitude larger than in homogeneous flow. This approach allows for the systematic evaluation of the temporal evolution of equilibrium reaction rates and establishes a direct link between the reaction efficiency and the spatial characteristics of the underlying flow field as quantified by the deformation of material fluid elements. © 2014. American Geophysical Union. All Rights Reserved.
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Language: | English |
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American Geophysical Union
2014-11-28
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Subjects: | Flow topology, Fluid deformation, Lamella, Mixing, Porous media, Reactive transport, |
Online Access: | http://hdl.handle.net/10261/140811 http://dx.doi.org/10.13039/501100000781 |
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dig-idaea-es-10261-1408112018-05-18T10:16:18Z Impact of fluid deformation on mixing-induced chemical reactions in heterogeneous flows Borgne, Tanguy Le Ginn, Timothy R. Dentz, Marco European Research Council Flow topology Fluid deformation Lamella Mixing Porous media Reactive transport Fast chemical reactions in geophysical flows are controlled by fluid mixing, which perturbs local chemical equilibria and thus triggers chemical reactions. Spatial fluctuations in the flow velocity lead to deformation of material fluid elements, which form the support volumes of transported chemical species. We develop an approach based on a lamellar representation of fluid mixing that provides a direct link between fluid deformation, the distribution of concentration gradients, and the upscaled reaction rates for fast reversible reactions. The temporal evolution of effective reaction rates is determined by the flow topology and the distribution of local velocity gradients. This leads to a significant increase of the reaction efficiency, which turns out to be orders of magnitude larger than in homogeneous flow. This approach allows for the systematic evaluation of the temporal evolution of equilibrium reaction rates and establishes a direct link between the reaction efficiency and the spatial characteristics of the underlying flow field as quantified by the deformation of material fluid elements. © 2014. American Geophysical Union. All Rights Reserved. Data used for producing the figures can be obtained by solving the respective equations given in the manuscript. MD acknowledges the support of the European Research Council (ERC) through the project MHetScale (617511). Peer reviewed 2016-11-28T09:07:54Z 2016-11-28T09:07:54Z 2014-11-28 artículo http://purl.org/coar/resource_type/c_6501 Geophysical Research Letters 41(22): 7898-7906 (2014) http://hdl.handle.net/10261/140811 10.1002/2014GL062038 http://dx.doi.org/10.13039/501100000781 en #PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/EC/FP7/617511 Postprint 10.1002/2014GL062038 Sí open American Geophysical Union |
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Flow topology Fluid deformation Lamella Mixing Porous media Reactive transport Flow topology Fluid deformation Lamella Mixing Porous media Reactive transport |
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Flow topology Fluid deformation Lamella Mixing Porous media Reactive transport Flow topology Fluid deformation Lamella Mixing Porous media Reactive transport Borgne, Tanguy Le Ginn, Timothy R. Dentz, Marco Impact of fluid deformation on mixing-induced chemical reactions in heterogeneous flows |
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Fast chemical reactions in geophysical flows are controlled by fluid mixing, which perturbs local chemical equilibria and thus triggers chemical reactions. Spatial fluctuations in the flow velocity lead to deformation of material fluid elements, which form the support volumes of transported chemical species. We develop an approach based on a lamellar representation of fluid mixing that provides a direct link between fluid deformation, the distribution of concentration gradients, and the upscaled reaction rates for fast reversible reactions. The temporal evolution of effective reaction rates is determined by the flow topology and the distribution of local velocity gradients. This leads to a significant increase of the reaction efficiency, which turns out to be orders of magnitude larger than in homogeneous flow. This approach allows for the systematic evaluation of the temporal evolution of equilibrium reaction rates and establishes a direct link between the reaction efficiency and the spatial characteristics of the underlying flow field as quantified by the deformation of material fluid elements. © 2014. American Geophysical Union. All Rights Reserved. |
author2 |
European Research Council |
author_facet |
European Research Council Borgne, Tanguy Le Ginn, Timothy R. Dentz, Marco |
format |
artículo |
topic_facet |
Flow topology Fluid deformation Lamella Mixing Porous media Reactive transport |
author |
Borgne, Tanguy Le Ginn, Timothy R. Dentz, Marco |
author_sort |
Borgne, Tanguy Le |
title |
Impact of fluid deformation on mixing-induced chemical reactions in heterogeneous flows |
title_short |
Impact of fluid deformation on mixing-induced chemical reactions in heterogeneous flows |
title_full |
Impact of fluid deformation on mixing-induced chemical reactions in heterogeneous flows |
title_fullStr |
Impact of fluid deformation on mixing-induced chemical reactions in heterogeneous flows |
title_full_unstemmed |
Impact of fluid deformation on mixing-induced chemical reactions in heterogeneous flows |
title_sort |
impact of fluid deformation on mixing-induced chemical reactions in heterogeneous flows |
publisher |
American Geophysical Union |
publishDate |
2014-11-28 |
url |
http://hdl.handle.net/10261/140811 http://dx.doi.org/10.13039/501100000781 |
work_keys_str_mv |
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