The influence of design and operating variables on the capacities of hydrocyclone classifiers

Lynch, A. J.; Rao, T. C.; Bailey, C. W.

doi:10.1016/0301-7516(75)90010-1

Cited by 33 publications

(16 citation statements)

References 2 publications

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“…Various aspects of the hydrocyclone (influence of design and operating parameters, mathematical modelling and simulation, and design modification) have been thoroughly studied by many researchers [37][38][39][40][41][42] in an effort to improve or more efficiently control its performance which is expressed by illustrating the separation efficiency curve of the separation process of the hydrocyclone.…”

Section: Underflowmentioning

confidence: 99%

Controlled wash water injection to the hydrocyclone underflow

Farghaly

Golyk²,

Ibrahim

et al. 2010

Minerals Engineering

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Section: Underflowmentioning

confidence: 99%

Controlled wash water injection to the hydrocyclone underflow

Farghaly

Golyk²,

Ibrahim

et al. 2010

Minerals Engineering

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“…Many empirical correlations have been presented by other researchers in an effort to predict performance and design cyclones (Flintoff et al, 1987;Nageswararao, 1978;Bradley, 1965;Lynch et al, 1975). However in this research we do not concentrate much on the classification models since our idea is to construct the candidate attainable region for the extreme limits of selectivity, 1 and 0 because we are offering a tool for targeting purposes.…”

Section: Classification Modelsmentioning

confidence: 99%

The application of the attainable region analysis to comminution

Khumalo

Glasser

Hildebrandt

et al. 2006

Chemical Engineering Science

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Abstractiii ABSTRACT This work applies the concepts of the attainable region for process synthesis in comminution. The attainable region analysis has been successfully applied for process synthesis of reactor networks. The Attainable Region is defined as the set of all possible output states for a constrained or unconstrained system of fundamental processes . A basic procedure for constructing the attainable region for the fundamental processes of reaction and mixing has been postulated in reaction engineering . This procedure has been followed in this work to construct the candidate attainable region for size reduction processes as found in a size reduction environment.A population balance model has been used to characterise the evolution of particle size distributions from a comminution event. postulated the dependency of grinding on the specific energy. A specific energy dependent population balance model was used for the theoretical simulations and for the fitting of experimental data.A new method of presenting particle size distributions as points in the Euclidian space was postulated in place of the traditional cumulative distribution. This allows successive product particle size distributions to be connected forming a trajectory over which the objective function can be evaluated. The curve connects products from successive batch grinding stages forming a pseudo-continuous process.Breakage, mixing and classification were identified as the fundamental processes of interest for comminution. Agglomeration was not considered in any of the examples. Mathematical models were used to describe each fundamental process, i.e. breakage, mixing and classification, and anThe application of the attainable region analysis in comminution Abstract iv algorithm developed that could calculate the evolution of product particle size distributions. A convex candidate attainable region was found from which process synthesis and optimisation solutions could be drawn in two dimensional Euclidian space. As required from Attainable Region Theory, the interior of the bounded region is filled by trajectories of higher energy requirements or mixing between two boundary optimal points.Experimental validation of the proposed application of the attainable region analysis results in comminution was performed. Mono-sized feed particles were broken in a laboratory ball mill and the products were successfully fitted using a population balance model. It was shown that the breakage process trajectories were convex and they follow first order grinding kinetics at long grind times. The candidate attainable region was determined for an objective function to maximise the mass fraction in the median size class 2. It was proved that the same specific energy input produces identical products. The kinematic and loading conditions are supposed to be chosen as a subsequent event after the required specific energy is identified.Finally the fundamental process of classification was added to the system of breakage and mixing. The attainable regions analysi...

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“…Lynch and Rao (1975) described the application of a 'reduced' partition curve, which they suggest can be used to derive the actual partition curve after any changes in operational conditions, with the curve being independent of hydrocyclone geometry and operating conditions. The 'reduced' partition curve can be obtained by plotting the corrected weight percentage of particles reporting to the underflow against the actual size divided by the corrected d50.…”

Section: Sharpness Of Separation (α)mentioning

confidence: 99%

“…Many models have been developed to predict the classification of feeds within hydrocyclones, including Dahlstrom (1949Dahlstrom ( , 1954, Bradley (1965), Lynch and Rao (1975) , Plitt (1976), Nageswararao (1978), Kojovic (1988), Castro (1990), Asomah (1996, Xiao (1997) and Narashima, Mainza et al (2011). Some of the ideas presented by these researchers and the developed models are discussed below.…”

Section: History Of Hydrocyclone Modellingmentioning

confidence: 99%

“…The Narashima-Mainza (2011) model for sharpness of separation uses ideas initially developed by Lynch and Rao (1975) who determined that sharpness of separation for geometrically similar cyclones was independent of operating and design variables and cyclone dimensions. For engineering purposes it was accepted that the assumption of a constant value for sharpness of separation of a particular type of slurry would be accurate enough.…”

Section: History Of Hydrocyclone Modellingmentioning

confidence: 99%

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Classification of multi-component feeds in a hydrocyclone

Collins¹

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The influence of design and operating variables on the capacities of hydrocyclone classifiers

Cited by 33 publications

References 2 publications

Controlled wash water injection to the hydrocyclone underflow

Controlled wash water injection to the hydrocyclone underflow

The application of the attainable region analysis to comminution

Classification of multi-component feeds in a hydrocyclone

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