Comminution Circuit Specific Energy (Bond): Difference between revisions

From Met Dynamics
Jump to navigation Jump to search
md>Scott.Munro
mNo edit summary
imported>Scott.Munro
 
(One intermediate revision by one other user not shown)
Line 22: Line 22:
:<math>Parameters=
:<math>Parameters=
\begin{bmatrix}
\begin{bmatrix}
\mathit{WI}\text{ (kWh/t)}\\
{\rm WI}\text{ (kWh/t)}\\
F_{80}\text{ (}\rm{\mu}\text{m)}\\
F_{80}\text{ (}\rm{\mu}\text{m)}\\
P_{80}\text{ (}\rm{\mu}\text{m)}\\
P_{80}\text{ (}\rm{\mu}\text{m)}\\
Line 38: Line 38:
\begin{bmatrix}
\begin{bmatrix}
W\text{ (kWh/t)}\\
W\text{ (kWh/t)}\\
\mathit{EF1}\\
{\rm EF1}\\
\mathit{EF2}\\
{\rm EF2}\\
\mathit{EF3}\\
{\rm EF3}\\
\mathit{EF4}\\
{\rm EF4}\\
\mathit{EF5}\\
{\rm EF5}\\
\mathit{EF6}\\
{\rm EF6}\\
\mathit{EF7}\\
{\rm EF7}\\
\mathit{EF8}\\
{\rm EF8}\\
\end{bmatrix}\;\;\;\;\;\;\;\;\;\;\;\;
\end{bmatrix}\;\;\;\;\;\;\;\;\;\;\;\;
</math>
</math>


where:
where:
* <math>\mathit{WI}\text{ (kWh/t)}</math> is the Bond Work Index of the ore being processed (kWh/t)
* <math>{\rm WI}\text{ (kWh/t)}</math> is the Bond Work Index of the ore being processed (kWh/t)
* <math>F_{80}\text{ (}\rm{\mu}\text{m)}</math> is the 80% fraction passing size of the feed (µm)
* <math>F_{80}\text{ (}\rm{\mu}\text{m)}</math> is the 80% fraction passing size of the feed (µm)
* <math>P_{80}\text{ (}\rm{\mu}\text{m)}</math> is the 80% fraction passing size of the product (µm)
* <math>P_{80}\text{ (}\rm{\mu}\text{m)}</math> is the 80% fraction passing size of the product (µm)
Line 62: Line 62:
* <math>\text{Closed circuit crushing}</math> indicates if the feed is prepared with closed circuit crushing
* <math>\text{Closed circuit crushing}</math> indicates if the feed is prepared with closed circuit crushing
* <math>W</math> is the operating work index (kWh/t)
* <math>W</math> is the operating work index (kWh/t)
* <math>\mathit{EF1-8}</math> are efficiency factors applied to the calculation of operating work index.
* <math>{\rm EF}1-{\rm EF}8</math> are efficiency factors applied to the calculation of operating work index.


| [[File:BondWI1.png|left|frame|Figure 1. Example showing the selection of the '''Parameters''' (blue frame), and '''Results''' (light blue frame) arrays in Excel.]]
| [[File:BondWI1.png|left|frame|Figure 1. Example showing the selection of the '''Parameters''' (blue frame), and '''Results''' (light blue frame) arrays in Excel.]]

Latest revision as of 12:01, 29 July 2023

Description

This article describes the Bond method for estimating the specific energy of comminution circuits.[1]

Model theory

Under construction icon-blue.svg.png This section is currently under construction. Please check back later for updates and revisions.

Excel

The Bond specific energy model may be invoked from the Excel formula bar with the following function call:

=mdMillPower_BondWI(Parameters as Range)

Invoking the function with no arguments will print Help text associated with the model, including a link to this page.

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

where:

  • is the Bond Work Index of the ore being processed (kWh/t)
  • is the 80% fraction passing size of the feed (µm)
  • is the 80% fraction passing size of the product (µm)
  • indicates if the mill is dry grinding
  • indicates if the mill is operating in open circuit
  • is the product size control reference fraction passing value (frac)
  • is the mill diameter (m)
  • is the mill length (m)
  • indicates if the comminution device is a rod mill
  • indicates if the circuit includes a rod mill only
  • indicates if the feed is prepared with closed circuit crushing
  • is the operating work index (kWh/t)
  • are efficiency factors applied to the calculation of operating work index.
Figure 1. Example showing the selection of the Parameters (blue frame), and Results (light blue frame) arrays in Excel.

See also

References

  1. Rowland, C.A., 2006. 'Bond’s method for selection of ball mills', in Kawatra, S.K. (ed.) Advances in Comminution. Society for Mining, Metallurgy, and Exploration, Inc., pp.385-397.