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Interfacial Phenomena and Heat Transfer
ESCI SJR: 0.258 SNIP: 0.574 CiteScore™: 0.8

ISSN Imprimir: 2169-2785
ISSN En Línea: 2167-857X

Interfacial Phenomena and Heat Transfer

DOI: 10.1615/InterfacPhenomHeatTransfer.2019031166
pages 239-253


Tatiana Gambaryan-Roisman
Technische Universität Darmstadt, Institute for Technical Thermodynamics, Darmstadt, Germany, 64287


Imbibition of volatile liquids on textured surfaces and in porous layers governs heat and mass transport in natural phenomena and in technological applications, including thermal management of electronic devices and ink-jet printing. These processes are responsible for significant improvement of cooling efficiency during drop impact cooling and flow boiling if the surfaces to be cooled are covered by highly porous nanofiber layers. Prediction of imbibition rate in textured substrates and porous layers, especially in the presence of evaporation, is a very complicated task. The existent imbibition theories for porous media rely on the known capillary pressure and the material permeability and are only applicable for the cases where the imbibition front separates a completely saturated region from a completely dry region. The hydrodynamics and transport processes during imbibition on textured surfaces and porous layers are substantially more complicated and are not completely understood. In this work simultaneous imbibition and evaporation in a model textured substrate are described theoretically and numerically. A typical element of the model system is a single groove, along which the liquid flows under the action of capillary pressure gradient. The cross-section area occupied by the liquid varies along the groove. The shape of the liquid-gas interface and the imbibition rate are determined by the groove geometry, the properties of the liquid, the substrate wettability, and the thermal conditions. The predicted maximal imbibed length decreases with increasing of the evaporation rate. This trend agrees with the available experimental results on imbibition into porous layers.


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