Masoud Sheykhi

Joined 7 November 2004
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                     Copper Smelting& Converting
                    Sarcheshmeh copper complex
                        Copper converting

"A calculation on copper converters"


Masoud Sheykhi

Process inspection

Smelter Process

Converter inspection

Technical_inspection@nicico.com

Introduction

Copper ores usually smelted to matte , which for purposes of

calculation is usually taken as a simple molten solution of

CU2S and FeS . The percentage of copper in the matte

commonly termed the "grade" of the matte , thus determines

the percentage composition in CU ,Fe , and S of this ideal

matte ; the percentage of CU multiplied by 160/128 give the

percentage of CU2S , and the balance is FeS.High- grade

mattes commonly have part of their copper content present as

free CU . The action in a copper smelting furnace and also

in a converter is governed by the fact that sulphur has a

greater affinity for copper than for iron. Though the heat

of formation of FeS is greater than that of CU2S , the

oxidation of FeS has greater free energy change than the

oxidation of CU2S ,and the reaction 2CUO + FeS = CU2S+FeO

will take place from left to right as shown . The operation

of copper converter is divided into two stages . the first ,

or slag- forming ,stage consists in the oxidation of FeS to

FeO with SiO2 added as flux:

2FeS +3O2 = 2FeO +2SO2

x FeO+ySiO2 = xFeO.ySiO2

At the end of the first stage the slag is poured off;the

material remaining consists mostly(theoretically entirely)of

CU2S ,Called"white metal". The second stage is the oxidation

of CU2S to Blister copper:

CU2S + O2 = 2CU +SO2.

Theoritically no slag is made during the seconde stage , and

this may be assumed to be the case in calculations.

Calculations

In the room temperature we have:

CU2S + O2 = 2CU +SO2

In 1100[0c] we have;

Heat contents of reactants ;

in 160kg CU2S = 160*0.131*1100

= 23050 Kcal

Laten heat of smelting = 160* 34.5

= 5520 Kcal

in 22.4 M3 O2 = 22.4*(0.302*0.000022*1100)*1100 = 8030 Kcal

Total heat of reactants = 36600Kcal

Heat content of products;


in 128 Kg CU = 128*(0.0916+0.0000125*1083)*1083 = 14600 Kcal in 128 Kg CU = 128*41.8 = 5360 Kcal in (1083[0c]-1100[0c]) = 180 Kcal in 22.4 M3 SO2 = 22.4*(0.406+0.00009*1100)*1100 = 12440 Kcal


Total heat in products

= 32580Kcal

Reaction heat in 1100[0c] = -51990-36600+32580 = -56010Kcal

Heat in nitrogen = (79/21)*22.4*(0.302+0.000022*1100)*1100

= 30250Kcal

net heat released in converter = 56010-8030-30250

= 17730 Kcal

References

[1] A.B.,"Metallurgical problems"McGRAW-HILL,INC,1943.


'Sarcheshmeh copper converters

"Calculations on Scrap addition during copper blowing "

Masoud Sheykhi'

Process inspection

Smelter Process

'Converter inspection'

Technical_inspection@nicico.com


Calculations


q[Watts/cm2] |(copper blowing)[1] = 5.76*0.0.357*[(T2/1000)4-

(T1/1000)4]=

2.06*[(T2/1000)4-(T1/1000)4]

For copper blowing we have:


Qc[Mcal/cm2.sec] = 0.012*0.5*(t2-t1)^1.233

if T1 = 1373[0K] , T2 = 298[0K] ,S = 90000 cm2 , then ;

q =9.42Mcal/min

if T1 = 1443[0K] , T2 = 298[0K] ,S = 90000 cm2 , then ;

q =11.5 Mcal/min

if t1 = 25[0c] , t2 = 200[0c] ,S = 1380000cm2 ,then;

Qc = 3.498 Mcal/min

q+Qc = 9.42+3.498 = 12.92 Mcal/min

Daily[2]; 1110 Tons of matte with 41.4%(take 50% for

calculations) CU charged in 3 converters , copper blowing

times = 113 minutes ,each converter cycle times = 9 hr .

Hence; each converter has 2.66 cycles per day and copper

blowing times for 3 converter is 15.029hr/day . thus;

released heat during copper blowing[3] = (17.73Mcal/160Kg

CU2S)*[(1110000/2)Kg CU2S/day]*[ day/15.029hr]*[hr/60min] =

68.2 Mcal/min.

heat accumulated in each converter =( 68.2/3)-12.92=

9.813Mcal/min.

heat accumulated in 3 converters = 3*9.81 = 29.44 Mcal/min.

heat carried by blister copper for changing its temperature

from 25[0c] to 1100[0c] = (14.6+5.360+0.18)/128 = 0.157

Mcal/Kg.

Daily production[2] ; are 420Tons blister copper.

(0.151Mcal/Kg)*[420000/(3*15.029*60)] =

24.428Mcal/min.converter

24.428/accumulated heat per converter = 24.428/9.813 = 2.5

Hence ; Max of Scrap% = 9.813*100/(2.5*24.42) = 16

Now ,we check the above calculations ;

We have[3];

32.580-12.44-[3.498*17.73/68.2] = 19.23Mcal/160Kg CU2S =

24.66Mcal/min.converter that near to 24.428 .hence

calculations are true.

Min of scrap% =[9.813/(24.66*2.50)]*100 =15.92

Now,We take the average of 24.66 and 24.428 i.e;24.54

24.54/9.813 = 2.50

Hence ;

Average of Scrap% =[9.813/(24.54*2.50)]*100 = 15.995 .

References

[1]M.Sheykhi "Emissivity calculation&convection heat

transfer coefficient on sarcheshmeh copper complex's

converters", technical inspection division , sarcheshmeh

copper complex ,kerman,iran ,2003 .

[2]Sarcheshmeh "Smelter operating manual ,section 7 ;

Converting" ,Paeson Jurdan Int .corp,1977.

[3] M.Sheykhi " A calculation on copper converters",

technical inspection division , sarcheshmeh copper

complex ,kerman,iran ,2004 .


Emissivity calculation & convection heat transfer

coefficient on Sarcheshmeh copper complex's Converters

Masoud Sheykhi

Process inspection

Smelting Process

Converter inspection

Technical_inspection@nicico.com

Calculations

Converter heat losses equation[1] ; 

Q[kcal/m2h]= [4.88*e*(T/100)^4]*S ,Let; e = .80

Let assume that converter has 4 meter diameter and 9 meter

lengeth then;

Q[kcal/min]= [0.583*(T/100)^4]

Let temperature of the melt surface be 1200 0c then;

q[Mcal/min] = [4.88*0.80*{1200+273)/1000}^4]*9/(60*1000)=

27.568

Let temperature of the shell surface be 200 0c then;

q'[Mcal/min] = [4.88*0.80*{200+273)/1000}^4]*138/(60*1000)=

4.498

Q' = q'+ q = 27.568+4.498 = 32.066


(q/Q' )*100 = (27.568/32.066)*100=85.97

(q'/Q')*100 = (4.498/32.066)*100=14.03

Qc = convection heat losses from converter shell = 2.66

Mcal/min[2].Thus;

4.498-2.66 = 1.83 Mcal/min is the radiation heat losses from

converter shell.

we have [2];

Qc[Mcal/cm2.sec] = n*(t2-t1)^1.233

t1[0c] ; temperature of air sourrounding converter shell.

t2[0c]  ; temperature of converter shell

n ; is a constant depending on geometry and condition of

surface .

A = 1380000cm2

Hence;

n = 0.012 Mcal.cm-2.min-1.[c0]-1.233

Assume that total radiation heat losses from the converter

mouth , thus;

q[Mcal/min] = 27.568+1.83 = 29.398 .

we have[3] ;

q[Watts/cm2] = 5.76*e'*[(T2/1000)4-(T1/1000)4]

T2=1200+273=1473 [0K]

T1=25+273=298[0K]

29.398[Mcal/min] = 22.78[Watts/cm2]

Hence , we correct;

e=e' = 0.84


Radiation heat losses during slag blowing[Mcal/min] = 5.416

Radiation heat losses during copper blowing[Mcal/min] = 4

Convection heat losses during converter blowing[Mcal/min] =

2.66

Mean radiation heat losses during converter blowing

[Mcal/min] = 4.708>4.498

Sarcheshmeh converter Slag blowing tims[hr][4] = 4.52

Sarcheshmeh converter Copper blowing times[hr][4] = 1.88

Sarcheshmeh converter Total blowing times[hr] =

6.4*[5.416/(5.416+4)]*100 = 57.52

100-57.52 =42.48

Therefor during copper blowing we have;

e = 0.4248*0.84 =0.3568

and during slag blowing ;


0.5752*0.84 = 0.4832

Hence;

q[Watts/cm2]|(slag blowing) = 5.76*0.4832*[(T2/1000)4-

(T1/1000)4]= 2.78*[(T2/1000)4-(T1/1000)4]


q[Watts/cm2] |(copper blowing) = 5.76*0.0.3568*[(T2/1000)4-

(T1/1000)4]=

2.06*[(T2/1000)4-(T1/1000)4]

[2.66/(2.66+2.66)]*100 = 50

100-50 = 50

Hence;

Qc[Mcal/cm2.sec] = 0.12*0.50*(t2-t1)^1.233 during slag

blowing

Qc[Mcal/cm2.sec] = 0.12*0.50*(t2-t1)^1.233 during copper

blowing

References

[1] S.GOTO ; The Application of thermodynamic calculations

to converter practice ,paper presented at AIME annual

meting ,1979 .

[2] Nickel Converter " Material And Heat Balance

report" ,Outokumpu Oy co ,1968.

[3] Ann .chim .phys.,7(1817) .

[4] Sarcheshmeh Smelter operating manual ,section 7; Converting ,Parson Jurdan Int .corp ,1977 .