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首页> 外文期刊>Bulletin of the American Physical Society >APS -70th Annual Meeting of the APS Division of Fluid Dynamics- Event - Energy-based upscaling of immiscible two-phase flow in porous media: flow regimes and applicability conditions
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APS -70th Annual Meeting of the APS Division of Fluid Dynamics- Event - Energy-based upscaling of immiscible two-phase flow in porous media: flow regimes and applicability conditions

机译：APS-流体动力学APS部门第70届年会-事件-多孔介质中不溶混两相流的基于能量的放大：流动方式和适用条件

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Empirical or theoretical extensions of Darcy’s law for immiscible two-phase flow have shown significant limitations in properly modelling the flow at the continuum-scale. We tackle this problem by proposing a set of upscaled equations based on pore-scale flow regimes, i.e., the topology of flowing phases. The incompressible Navier-Stokes equation is upscaled by means of multi-scale expansions and its closures derived from the mechanical energy balance for different flow regimes at the pore-scale. We also derive the applicability conditions of the upscaled equations based on the order of magnitude of relevant dimensionless numbers, i.e., Eotvos, Reynolds, Capillary, Froude numbers, and the viscosity and density ratio of the system. We demonstrate that the classical two-phase Darcy law is recovered for a limited range of operative conditions and it is compatible only with the connected-pathway flow regime, while additional terms accounting for interfacial and wall interactions should be incorporated to model accurately ganglia or drop traffic flow.
机译：达西定律对不相溶的两相流的经验或理论扩展已经显示出在连续尺度上对流进行正确建模的显着局限性。我们通过提出一组基于孔尺度流态（即流动相拓扑）的高档方程来解决这个问题。不可压缩的Navier-Stokes方程是通过多尺度膨胀来放大的，并且其闭合是根据孔尺度上不同流态下的机械能平衡得出的。我们还根据相关的无量纲数的数量级（即Eotvos，Reynolds，Capillary，Froude数以及系统的粘度和密度比）推导了高级方程的适用条件。我们证明经典的两阶段达西定律是在有限范围的操作条件下恢复的，并且仅与连通路径流动状态兼容，同时应考虑解释界面和壁相互作用的其他术语以精确地模拟神经节或下降交通流。

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