Application of an Unsteady-State Pulp-Partition Model to Dense-Medium Separations

Mark Stephen Klima, P. T. Luckie

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Since there has been a growing interest in using gravity concentration techniques for the processing of fine coal (less than about 0.5 mm in size), it is important that a performance prediction procedure is used which is capable of showing differences in the operating conditions of the separator. The generation of fractional recovery or partition curves is one such procedure. A fractional recovery curve is a plot of the fraction of or probability that a given size feed material of a given density reports to the product against the density. This paper derives a mathematical model, based upon the physics of the separation process, from which fractional recovery values can be obtained. The heart of this derivation is the convection-diffusion equation which takes into account both the settling and the mixing of particles within a free-settling-type separator. The fractional recovery curve can be obtained by fitting these values to an appropriate mathematical function. Although the fractional recovery curves can be described by model parameters such as viscosity, etc., the common industrial practice is to derive certain characteristic parameters directly from the curves. Therefore, if these values are fitted to an appropriate mathematical function, then the derived parameters can be obtained using a parameter estimation technique. Thus, by analyzing the variation of these parameters with operating and design conditions, a valuable technique for studying separator performance is established.

Original languageEnglish (US)
Pages (from-to)227-240
Number of pages14
JournalCoal Preparation
Volume6
Issue number3-4
DOIs
StatePublished - Jan 1 1989

Fingerprint

Pulp
Recovery
Separators
industrial practice
Coal
Parameter estimation
Gravitation
physics
viscosity
Physics
convection
pulp
Viscosity
Mathematical models
gravity
coal
parameter
Processing
prediction
separator

All Science Journal Classification (ASJC) codes

  • Fuel Technology
  • Geotechnical Engineering and Engineering Geology

Cite this

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abstract = "Since there has been a growing interest in using gravity concentration techniques for the processing of fine coal (less than about 0.5 mm in size), it is important that a performance prediction procedure is used which is capable of showing differences in the operating conditions of the separator. The generation of fractional recovery or partition curves is one such procedure. A fractional recovery curve is a plot of the fraction of or probability that a given size feed material of a given density reports to the product against the density. This paper derives a mathematical model, based upon the physics of the separation process, from which fractional recovery values can be obtained. The heart of this derivation is the convection-diffusion equation which takes into account both the settling and the mixing of particles within a free-settling-type separator. The fractional recovery curve can be obtained by fitting these values to an appropriate mathematical function. Although the fractional recovery curves can be described by model parameters such as viscosity, etc., the common industrial practice is to derive certain characteristic parameters directly from the curves. Therefore, if these values are fitted to an appropriate mathematical function, then the derived parameters can be obtained using a parameter estimation technique. Thus, by analyzing the variation of these parameters with operating and design conditions, a valuable technique for studying separator performance is established.",
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Application of an Unsteady-State Pulp-Partition Model to Dense-Medium Separations. / Klima, Mark Stephen; Luckie, P. T.

In: Coal Preparation, Vol. 6, No. 3-4, 01.01.1989, p. 227-240.

Research output: Contribution to journalArticle

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