About the Cyclosim_Single Cyclosim_Single Spreadsheet Spreadsheet ...
Scope : The Cyclosim_Single spreadsheet Cyclosim_Single spreadsheet was designed to simulate the response of a hdro!!lone "or !luster of hdro!!lones# of an gi$en geometr% geometr% operating in open !ir!uit under &nown inlet !onditions.
Theoretical Framework : The te!hni!al literature !ontains $arious Empirical Correlations Correlations % attempting to des!ri'e the response of a hdro!!lone in front of a gi$en set of operating !onditions. (xamples of these formulations are the wor& of T. C. Rao and A. . !ynch from )ustralia "*+odelling "*+odelling and ,!ale-up of dro!!lone lassifiers*% lassifiers*% nt. +in. ro!. ongress ongress % 1-2% 17. )lso in the 'oo& +ineral rushing and 5rinding ir!uits% (lse$ier% (lse$ier% ew or&% 177#% the resear!h of !. R. "litt in "litt in the ,) "*) +athemati!al +odel for the dro!!lone lassifier*% + 9ulletin% p.114% e!em'er 176# and the !orrelations proposed ' C#MM in C#MM in hile "as reported ' !. $%ti&rre' and . E. Sep(l)eda% Sep(l)eda % imensionamiento ;ptimi
!ni!as de +odela!i=n +atem?ti!a% ++ ,pe!ial u'li!ation% 186#. 9eing all $er similar in nature% the latter has 'een in!orporated to Cyclosim_Single. Cyclosim_Single. n all of the a'o$e formulations% the "artition or Classi*ication F%nction of the !!lones "defined as the fra!tional weight re!o$er to the !!lone underflow of an gi$en si
A a!tual !!lone !lassifi!ation effi!ien! "fra!tional partition# for parti!les of si
h ;
A !!lone diameter% in. A !!lone free height% defined as the distan!e from the 'ottom of the $ortex finder down to the top of the apex% in. A !!lone feed inlet diameter "!ir!le area eBui$alent if the inlet is re!tangular#% in. A !!lone $ortex finder diameter% in. A !!lone apex diameter% in.
and a1 is an appli!ation dependent !onstant to 'e determined from at least one set of a!tual plant data using ,preadsheets Cyclo@al_Single or ,all@al_0/.9/ e5p //./ c =8
d
+ a
0
_______________________________________________
- / 08.=
s
where a2 is also an appli!ation dependent !onstant to 'e determined in a similar fashion as a1. Correlation 7 : Flow Split. h8./9 0.43 e5p -3.77
2% S +
______
2o
+ a7
B.66 0
_________________________________________________
; 8.=3
where the flow split , "also referred to as the *wet* !ir!ulating load# is the ratio of the underflow $olumetri! flowrate to the o$erflow flowrate of slurr. )gain a 3 is to 'e determined as a 1 and a2.
where l is the th appli!ation dependent !onstant% li&e the pre$ious a 1% a2% a3 and a4 and where the water '-pass 9 pw ma 'e o'tained from : SS/0 ,pw +
Rsc
____________________________
/-
D/-
Rsc0
with Es! - the hpotheti!al total underflow weight re!o$er of solids if the a!tual !!lone effi!ien! was to 'e the !orre!ted effi!ien! - gi$en ' : n Rsc +
* i Eic iA1
and f i represents the weight fra!tion of parti!les of si
Moly-Cop Tools TM ,imulation F Remarks
9ase ase (xample
G o* Cyclones 10
iameter 20.00
>perating Conditions :
r Tons ton/hr 1622.84
1
Hater m3/hr 86.16
Cyclones $eometry inches eight nlet Gortex 7.00 3.0 7.0 >re
Cyclone Feed Conditions ,lurr Ilow ensit ton/hr m3/hr ton/m3 260.01 16.7 1.666
Classi*ier Constants : (from Cyclobal_Single, Ballbal_Direct or Ballbal_Reerse! l a1 a2 a3 a4 .680 1.401 4.64 0.23 0.0 .680 1.401 4.64 0.23 0.0 Feed Si'e
J ,olids "' $olume# 37.02
)pex 3.67 2.80
J ,olids "' weight# 62.20
Suggested Default Values
Moly-Cop Tools TM
Sample HI
/
CC!>S#M dro!!lone ,imulator Eemar&s :
9ase ase (xample
um'er of !lones : !lone imensions% in : iameter eight nlet Gortex )pex ;re ensit% ton/m3
10
;perating onditions : Ieed Ilowrate% m3/hr ressure% psi 0 "!orr.#% mi!rons Hater 9-ass% J ,olids 9-ass% J littDs arameter ir!ulating Koad% J
20.00 7.00 3.0 7.0 3.67 2.80
Si'e
;pening 2400 100 12700 00 6700 470 330 2360
+id-,i
Ieed 100.00 100.00 8.88 6.32 3.81 1.3 8.16 86.44
Dflow 100.00 100.00 8.1 .12 1.7 88.76 8.61 82.00
;Dflow 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00
16.7 8.0 17.8 3.2 37.2 1.62 306
Classi*ier E**iciency )!tual 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
orre!ted 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
!lones 5eometr% in!hes iameter
eight
nlet
Gortex
)pex
20.0
7.0
3.0
7.0
3.67
;perating onditions : ton/m3
"' $olume#
s
ton/hr
m3/hr
16.7
0.370
2.80
162.28
8.62
lassifier onstants : "from !lo'alL,ingle% 9all'alLire!t or 9all'alLEe$erse# a1
a2
a3
a4
l
.680
1.401
4.64
0.23
0.0
Calc%lations orrelation 1. !lone Ieed ressure% ft.
11.0621
orrelation 2. orre!ted ut ,i
17.80
orrelation 3. ,lurr ,plit. ,
1.10814
orrelation 4. lassifi!ation (ffi!ien!. Hater m "litt#
Esc
9pw
9pf
Dflow
1.61731006 0.60712 0.3170013 0.3721113 Ira!tion
Tler
;pening
M
+esh
mi!r.
di mi!r.
;Dflow
J ,ol.
38.627 7.47 .8818
40.000
(i
(i
nderflow
"real#
ton
Ieed ton
Hater J ,ol.
J Eet.
"!orr#
Es!%i A f i
i
;$erflow J Eet.
ton
J Eet.
1
1.0
2400
30206
0.00
0.00
1.000
0.000
1.000
0.00
0.00
0.00
0.00
2
0.742
100
217
0.00
0.00
1.000
0.000
1.000
0.00
0.00
0.00
0.00
3
0.2
12700
14
1.82
1.12
1.000
0.011
1.000
1.82
1.4
0.00
0.00
4
0.371
00
1084
4.1
2.6
1.000
0.026
1.000
4.1
3.3
0.00
0.00
3
6700
778
4.08
2.1
1.000
0.02
1.000
4.08
3.33
0.00
0.00
6
4
470
641
3.70
2.28
1.000
0.023
1.000
3.70
3.03
0.00
0.00
7
6
330
38
3.8
2.37
1.000
0.024
1.000
3.8
3.1
0.00
0.00
8
8
2360
2812
4.41
2.72
1.000
0.027
1.000
4.41
3.61
0.00
0.00
10
1700
2003
.12
3.16
1.000
0.032
1.000
.12
4.1
0.00
0.00
10
14
1180
1416
6.70
4.13
1.000
0.041
1.000
6.70
.48
0.00
0.00
11
20
80
1001
7.88
4.86
1.000
0.04
1.000
7.88
6.4
0.00
0.00
12
28
600
714
10.06
6.20
0.8
0.062
0.
10.0
8.22
0.01
0.03
13
3
42
0
12.2
7.7
0.7
0.074
0.84
12.0
.8
0.1
0.4
14
48
300
37
14.21
8.76
0.878
0.077
0.23
13.12
10.73
1.0
2.73 6.81
1
6
212
22
14.36
8.8
0.68
0.062
0.810
11.64
.2
2.72
16
100
10
178
12.6
7.74
0.4
0.038
0.683
8.8
7.02
3.8
.
17
10
106
126
.0
6.10
0.323
0.020
0.7
.6
4.6
4.21
10.2
18
200
7
8
7.32
4.1
0.200
0.00
0.48
3.64
2.8
3.68
.20
1
270
3
63
.40
3.33
0.11
0.004
0.447
2.41
1.7
2.
7.46
20
400
38
4
3.0
2.40
0.071
0.002
0.417
1.62
1.33
2.27
.6
21
-400
0
1
30.8
18.84
0.018
0.003
0.383
11.73
.
18.8
47.13
162.28
100.00
122.2
100.00
3.
100.00
T;T)K
0.608
ir!ulating Koad :
3.06
