A smoothed particle hydrodynamics model for droplet and film flow on smooth and rough fracture surfaces |
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| Institution: | 1. Fraunhofer ITWM, Fraunhofer-Platz 1, Kaiserslautern 67663, Germany;2. Universität Kassel, Heinrich-Plett-Straße 40, Kassel 34132, Germany;3. University of Luxembourg, 2 Av. de l’Universite, Esch-sur-Alzette 4365, Luxembourg;1. Fraunhofer ITWM, Kaiserslautern 67663, Germany;2. Department of Mathematics, University of Kaiserslautern, Kaiserslautern 67663, Germany;1. Guangdong Provincial Key Laboratory of Computer Vision and Virtual Reality Technology, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, China;2. CAS Key Laboratory of Human-Machine Intelligence-Synergy Systems, Shenzhen Institutes of Advanced Technology, China;3. The Chinese University of Hong Kong, China |
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| Abstract: | Flow on fracture surfaces has been identified by many authors as an important flow process in unsaturated fractured rock formations. Given the complexity of flow dynamics on such small scales, robust numerical methods have to be employed in order to capture the highly dynamic interfaces and flow intermittency. In this work we use a three-dimensional multiphase Smoothed Particle Hydrodynamics (SPH) model to simulate surface tension dominated flow on smooth fracture surfaces. We model droplet and film flow over a wide range of contact angles and Reynolds numbers encountered in such flows on rock surfaces. We validate our model via comparison with existing empirical and semi-analytical solutions for droplet flow. We use the SPH model to investigate the occurrence of adsorbed trailing films left behind droplets under various flow conditions and its importance for the flow dynamics when films and droplets coexist. It is shown that flow velocities are higher on prewetted surfaces covered by a thin film which is qualitatively attributed to the enhanced dynamic wetting and dewetting at the trailing and advancing contact lines. Finally, we demonstrate that the SPH model can be used to study flow on rough surfaces. |
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| Keywords: | Unsaturated flow Fractured rocks Smoothed particle hydrodynamics Gravity-driven flow Film flow Surface tension |
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