泡状流的简单双曲双流体模型
A hierarchy of simple hyperbolic two-fluid models for bubbly flows
摘要：
与单独和分散的两相流建模的目标，我们在本文中使用的方法推导出两个流体模型，不承担任何流动拓扑结构。该方法基于变分原理和熵耗散要求。一些模型是这样推导和研究已经知道在上下文中的分离或分散相流的描述。然而，我们在这里提出了一个安排这些模型到一个层次的基础上，通过松弛参数的链接。此外，该模型被证明是兼容的单分散泡状流的描述，并在此框架内，可以确定的松弛参数。最后，通过与实验测量的声音分散和泡沫介质的参考模型的色散关系的比较，验证和讨论这种识别。
英文摘要：
With the objective of modeling both separate and disperse two-phase flows, we use in this paper a methodology for deriving two-fluid models that do not assume any flow topology. This methodology is based on a variational principle and on entropy dissipation requirement. Some of the models that are such derived and studied are already known in the contexts of the description of separate-or disperse-phase flows. However, we here propose an arrangement of these models into a hierarchy based on their links through relaxation parameters. Moreover, the models are shown to be compatible with the description of a monodisperse bubbly flow and, within this frame, the relaxation parameters can be identified. This identification is finally verified and discussed through comparisons with experimental measures of sound dispersion and with dispersion relations of a reference model for bubbly media.
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