View source for Partition (Size, Reid-Plitt)

== Description ==

This article describes the Reid-Plitt expression for the recovery of classifier feed to underflow, independently reported by Reid (1971) and Plitt (1971).{{Reid (1971)}}{{Plitt (1971)}}

== Model theory ==

[[File:PartitionReidPlitt1.png|thumb|450px|Figure 1. Reid-Plitt partition to underflow with values of <math>{d_{50 \rm c}} = 1.0 \text{ (mm)}</math>,  <math>m = 1.5</math>, and  <math>{R_{\rm f}} = 0.2 \text{ (frac)}</math>.]]

{{Model theory (Text, Reid-Plitt Efficiency Curve)}}

Plitt (1971) found the value of <math>m</math> was in the range of 1 - 3.8.{{Plitt (1971)}}

== Excel ==

The Reid-Plitt efficiency curve model may be invoked from the Excel formula bar with the following function call:

<syntaxhighlight lang="vb">=mdPartition_ReidPlitt(MeanSize as Range, d50c as Double, m as double, Rf as Double)</syntaxhighlight>

{{Excel (Text, Help, No Arguments)}}

The input parameters and model results are defined below in matrix notation, along with an example image showing the selection of the same cells in the Excel interface:

{| 
|- style="vertical-align:top;"
|
:<math>
\begin{align}
\mathit{MeanSize} & = 
\begin{bmatrix}
\bar{d}_1\text{ (mm)}\\
\vdots\\
\bar{d}_n\text{ (mm)}\\
\end{bmatrix}\\
\\
\mathit{d50c} & = \big [d_{50 \rm c} \text{ (mm)}\big ]\\
m & = \big [m \big ]\\
\mathit{Rf} & = \big [R_{\rm f}\text{ (frac)}\big ]\\
\end{align}</math>
|
:<math>
mdPartition\_ReidPlitt = 
\begin{bmatrix}
(E_{\rm ua})_1\text{ (frac)}
&
\beta^*\\
\vdots
&
[-]
\\
(E_{\rm ua})_n\text{ (frac)}
&
[-]
\\
\end{bmatrix}
</math>

|rowspan="2"| 
:[[File:PartitionReidPlitt2.png|frame|Figure 2. Example showing the selection of the input parameters (shaded cells), and '''Results''' (light blue frame) array in Excel.]]
|- style="vertical-align:top;"
|}

== SysCAD ==

The Reid-Plitt partition is available from the '''{{Name (Text, Company Name)|nospace=1}}*Screen''' and '''{{Name (Text, Company Name)|nospace=1}}*Hydrocyclone''' unit models.

The sections and variable names used in the SysCAD interface are described in detail in the following tables.

Note that both a '''Deck''' page and a '''Partition''' page are provided provided for each connected oversize discharge stream of the screen unit model.

{{SysCAD (Page, Screen, DLL*Screen)}}

==== Deck page ====

The Deck page is used to specify the required model method and associated input parameters.

{{SysCAD (Text, Table Header)}}

{{SysCAD (Text, Screen, Deck)}}

{{SysCAD (Text, Help Link)}}

|- style="vertical-align:top;"
|OreSpecific
|CheckBox
|
* Ore-specific partitions, allows the Reid-Plitt equation parameters to be separately input for all species.
* Default is all species have the same set of single input properties.
* This option is only available if there is more than one species in the project with the size distribution property.
|-
|d50c
|Input
|The Reid-Plitt equation d50c corrected cut size parameter.
|-
|m
|Input
|The Reid-Plitt equation sharpness parameter.
|-
|Rf
|Input
|The Reid-Plitt equation recovery of fines/water to underflow parameter.

{{SysCAD (Text, Screen, Liquids)|method=1}}

|}

{{SysCAD (Page, Hydrocyclone, Partition)|ActionU=Partition|ActionL=partition|DestinationU=Oversize|DestinationL=oversize|UnitL=screen}}

{{SysCAD (Page, Hydrocyclone, DLL*Hydrocyclone)}}

==== Cyclone page ====

The Cyclone page is used to specify the input parameters for the hydrocyclone model.

{{SysCAD (Text, Table Header)}}

|-
! colspan="3" style="text-align:left;" |''ReidPlitt''

{{SysCAD (Text, Help Link)}}

|- style="vertical-align:top;"
|OreSpecific
|CheckBox
|
* Ore-specific partitions, allows the Reid-Plitt equation parameters to be separately input for all species.
* Default is all species have the same set of single input properties.
* This option is only available if there is more than one species in the project with the size distribution property.
|-
|d50c
|Input
|The Reid-Plitt equation d50c corrected cut size parameter.
|-
|m
|Input
|The Reid-Plitt equation sharpness parameter.
|-
|Rf
|Input
|The Reid-Plitt equation recovery of fines/water to underflow parameter.

{{SysCAD (Text, Hydrocyclone, Liquids)|method=0}}

|}

{{SysCAD (Page, Hydrocyclone, Partition)|ActionU=Partition|ActionL=partition|DestinationU=Overflow|DestinationL=overflow|UnitL=cyclone}}

{{SysCAD (Page, Hydrocyclone, Roping)|WhitenBeta=true}}

{{SysCAD (Page, About)}}

== See also ==

* [[Hydrocyclone (Plitt)]]

== References ==

[[Category:Excel]]
[[Category:SysCAD]]