Abstract A spatially one-dimensional model of the hydrodynamics of a flotation column is based on one continuous phase, the fluid, and two disperse phases: the aggregates, that is, bubbles with attached hydrophobic valuable particles, and the solid particles that form the gangue. A common feed inlet for slurry mixture and gas is considered and the bubbles are assumed to be fully aggregated with hydrophobic particles as they enter the column. The conservation law of the three phases yields a model expressed as a system of partial differential equations where the nonlinear constitutive flux functions come from the drift-flux and solids-flux theories. In addition, the total flux functions are discontinuous in the spatial (height) coordinate because of two inlets (slurry and wash water) and outlets at the top and bottom. The desired stationary solutions of this model can be characterized by operating charts. A novel numerical method is used for simulations of the hydrodynamics under variable operating conditions such as control actions that drive the process to desired states of operation.

中文翻译：

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浮选沉淀：瞬态运行的稳态与数值模拟

摘要 浮选柱流体动力学的空间一维模型基于一个连续相、流体和两个分散相：聚集体，即附着有疏水性有价值颗粒的气泡，以及形成脉石的固体颗粒。 . 考虑了浆液混合物和气体的共同进料口，并且假设气泡在进入柱子时与疏水颗粒完全聚集。三相守恒定律产生一个模型，表示为偏微分方程组，其中非线性本构通量函数来自漂移通量和固体通量理论。此外，由于顶部和底部有两个入口（浆液和洗涤水）和出口，因此总通量函数在空间（高度）坐标中是不连续的。该模型所需的平稳解可以通过操作图来表征。一种新颖的数值方法用于模拟可变操作条件下的流体动力学，例如将过程驱动到所需操作状态的控制动作。