Abstract
The analysis of the possible maximum fluid flow rates when using higher aquatic plants for clarification of recycled water in the pondclarifier of the tailing pond has carried out. The study has been performed on the basis of a mathematical model of a plane slow stationary gravity flow of a viscous fluid in two parallel layers. The results of the study made it possible to determine the fluid velocity through a layer of higher aquatic plants floating on a free surface. The maximum possible velocity depending on the layer porosity has been determined. This value is necessary to determine the rational parameters of the process of clarifying technical recycled water from particles of the given hydraulic size, taking into account the pond-clarifier geometric dimensions. It is shown that the velocity in the layer with higher aquatic plants has been determined by the ratio of two parameters of this layer - porosity and dimensionless resistance coefficient. It has been shown that the maximum velocity value coefficient in the layer with plants floating on free surface depends only on porosity of this layer and does not depend on its resistance coefficient.
Highlights
The Kryvbas iron ore plants provide approximately $ 3 billion of revenue to the budget of Ukraine due to the export of ore and provide work to 60 thousand miners [1 - 4]
It can be seen from formulas (4) that in the limiting case, the parameters of plants floating on the free surface of the pond-clarifier do not affect the average velocity in the lower layer
The above mathematical models allow to determine the velocity of a fluid through a layer of higher aquatic plants floating on a free surface, as well as the maximum possible velocity depending on the porosity of the layer
Summary
The Kryvbas iron ore plants provide approximately $ 3 billion of revenue to the budget of Ukraine due to the export of ore and provide work to 60 thousand miners [1 - 4]. Operating from the middle of the last century, the iron ore tailing pond system suggests using a protective layer of water in the pond-clarifier to prevent dusting of beaches. The effectiveness of such clarification process is ensured by the large geometric dimensions of the pond-clarifier and low velocity of the water flow in it. Similar purposes experience is known, where the root system of aqueous hyacinths is up to 0.5 m long It is located in the surface layer and is completely immersed in water [8]. Eichhornia crassipes) is a tropical fast-growing plant, capable of doubling green mass in 2 weeks and rising one meter above the surface of the water
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