Model:Bond-Rowland SSBM - Revision history

Alex Doll at 18:48, 6 March 2022

2022-03-06T18:48:33Z

2021-11-23T16:25:30Z

Formulae

2021-11-23T16:20:18Z

Default parameter values

2020-03-07T00:05:49Z

2020-03-07T00:04:11Z

2015-04-26T16:43:31Z

2014-05-26T16:48:47Z

Bond/Rowland Single Stage Ball Mill Model

2014-05-26T16:43:26Z

Default parameter values

2014-05-26T16:34:37Z

Bond/Rowland Single Stage Ball Mill Model

2014-05-07T23:22:29Z

Default parameter values

@@ Line 2: / Line 2: @@
 [[category:Specific Energy Models]]
 [[Category:SSBM Model]]
 == Bond/Rowland Single Stage Ball Mill Model ==
 This is a multi-stage crushing plant feeding a ball mill model that estimates the specific energy consumption (E<sub>BM</sub>) using the Rowland interpretation of the classical Bond work index equation including Rowland efficiency factors.

@@ Line 29: / Line 29: @@
 * P<sub>80</sub> = 2100 &micro;m
-The ball mill oversize feed factor (EF<sub>4</sub><sup>BM</sup>) is always calculated with the ball mill work index.  The optimal feed size for the EF<sub>4</sub><sup>BM</sup> is always calculated using the rod mill work index.
+Both the ball mill and rod mill work index values are used to compute EF<sub>4</sub><sup>BM</sup>:  The ball mill work index in the oversize feed factor  component and the rod mill work index in the optimal feed size component.
 <math>

@@ Line 49: / Line 49: @@
 * Assumed crusher product (T<sub>80</sub>) size, &micro;m = 9400
 * Hypothetical rod mill product size, &micro;m = 2100 (mid-point of the range between typical rod mill work index test P<sub>80</sub> and typical ball mill work index test F<sub>80</sub>).
 == Simulating an HPGR circuit ==

@@ Line 1: / Line 1: @@
 [[category:Models]]
 [[category:Specific Energy Models]]
-[[Category:Bond SSBM Model]]
+[[Category:SSBM Model]]
 == Bond/Rowland Single Stage Ball Mill Model ==
 This is a multi-stage crushing plant feeding a ball mill model that estimates the specific energy consumption (E<sub>BM</sub>) using the Rowland interpretation of the classical Bond work index equation including Rowland efficiency factors.

@@ Line 1: / Line 1: @@
 [[category:Models]]
 [[category:Specific Energy Models]]
-[[Category: Bond SSBM Model]]
+[[Category:Bond SSBM Model]]
 == Bond/Rowland Single Stage Ball Mill Model ==
 This is a multi-stage crushing plant feeding a ball mill model that estimates the specific energy consumption (E<sub>BM</sub>) using the Rowland interpretation of the classical Bond work index equation including Rowland efficiency factors.

@@ Line 5: / Line 5: @@
 This is a multi-stage crushing plant feeding a ball mill model that estimates the specific energy consumption (E<sub>BM</sub>) using the Rowland interpretation of the classical Bond work index equation including Rowland efficiency factors.
 <math>
 E_{ssbm} = Wi_{C} \times \left ( \tfrac {10}{\sqrt{ 9400 }} - \tfrac {10}{\sqrt{ F_{80} }} \right ) + Wi_{RM} \times \left ( \tfrac {10}{\sqrt{ 2100 }} - \tfrac {10}{\sqrt{ 9400 }} \right )\times EF_4^{RM} + Wi_{BM} \times \left ( \tfrac {10}{\sqrt{ P_{80} }} - \tfrac {10}{\sqrt{ 2100 }} \right ) \times EF_4^{BM} \times EF_5</math>

← Older revision		Revision as of 16:43, 26 May 2014
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	* Assumed crusher product (T<sub>80</sub>) size, µm = 9400		* Assumed crusher product (T<sub>80</sub>) size, µm = 9400
	* Hypothetical rod mill product size, µm = 2100 (mid-point of the range between typical rod mill work index test P<sub>80</sub> and typical ball mill work index test F<sub>80</sub>).		* Hypothetical rod mill product size, µm = 2100 (mid-point of the range between typical rod mill work index test P<sub>80</sub> and typical ball mill work index test F<sub>80</sub>).
		+
		+	== Simulating an HPGR circuit ==
		+
		+	The high pressure grinding roll (HPGR) circuits are becoming common, and they can be considered a variation on the classical single stage ball mill circuit where the final stage of crushing is the HPGR. Simulating HPGR has two differences from a classical SSBM circuit with cone crushers: first is that the crusher product tends to be finer (~4 mm versus 9 mm) and the nature of the product is different.
		+
		+	The particle size curve of HPGR product is "non-standard" according to Bond's root-2 rule, meaning the transfer size for Bond calculations is "synthetic" (same as for SAG mills). To simulate this, refer to the [[Model:HPGR and ball mill\|HPGR and ball mill using Bond]] instructions.

@@ Line 9: / Line 9: @@
 <sup>[[Bibliography:_Specific_energy_consumption_models|Rowland, 2006]]</sup>
-<math> E_{total} = E_{crusher} +  E_{ball} </math>
+<math> E_{total} = E_{ssbm} \times CF = E_{crusher} +  E_{ball} </math>
 The rod mill oversize feed factor (EF<sub>4</sub><sup>RM</sup>) is calculated using the greater of the sample's rod mill or crushing work index (which is usually the Wi<sub>RM</sub>).  The optimal feed size and EF<sub>4</sub> are both calculated using whichever is greater.

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 * F<sub>80</sub> = 2100 &micro;m
 * P<sub>80</sub> = the specified circuit product size, &micro;m
 == Default parameter values ==
-* Assumed crusher product P<sub>80</sub> size, &micro;m = 9400
+* Assumed crusher product (T<sub>80</sub>) size, &micro;m = 9400
 * Hypothetical rod mill product size, &micro;m = 2100 (mid-point of the range between typical rod mill work index test P<sub>80</sub> and typical ball mill work index test F<sub>80</sub>).