Template:Model theory (Text, Hydrocyclone, Roping)
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Several methods are available to identify the potential for roping discharge from a hydrocyclone underflow.
Plitt proposed that roping may occur when when the volumetric feed rate to the cyclone, (m3/h), exceeds a solids capacity limit:[1]
Plitt further proposed a limit to the volume fraction of solids in cyclone underflow, (% v/v), of:
where is the mass median particle size of the underflow, computed here as the P50 (μm).
The SPOC criterion indicates roping may occur when:[2]
where is the percentage volume fraction of solids in the underflow stream (% v/v). The SPOC criterion is only valid when .
Investigations by Bustamante (1991) and Concha et al. (1996) led to the limiting values of cyclone geometry in Table 1:[3]
Table 1. Transition from spray to roping discharge (after Gupta and Yan, 2016).[3] Source Condition Bustamante <0.34 Roping discharge 0.34 - 0.5 Roping or spray >0.5 Spray discharge Concha et al. <0.45 Roping discharge 0.45 - 0.56 Roping or spray >0.56 Spray discharge
- ↑ Dubey, R.K., Singh, G. and Majumder, A.K., 2017. Roping: Is it an optimum dewatering performance condition in a hydrocyclone?. Powder Technology, 321, pp.218-231.
- ↑ Napier-Munn, T.J., Morrell, S., Morrison, R.D. and Kojovic, T., 1996. Mineral comminution circuits: their operation and optimisation. Julius Kruttschnitt Mineral Research Centre, Indooroopilly, QLD.
- ↑ 3.0 3.1 Gupta, A. and Yan, D.S., 2016. Mineral processing design and operations: an introduction. Elsevier.