calculation 5
TRANSCRIPT
CHAPTER 5
DESIGNING OF CRUDE DISTILLATION UNIT
5.1 OVERALL PRODUCT DISTRIBUTION
streamEnd
Temperature( c)⁰Volume distribution Weight distribution
Volume % Range Weight % Rangeoff Gases 15 2.32 0-2.32 1.50 0-1.50
Naphtha 149 21.70 2.32-24.02 18.60 1.50-20.1
kerosene 232 17.08 24.02-41.1 16.10 20.1-36.2
diesel 342 21.06 41.1-62.16 21.25 36.2-57.45
over flash - 2 62.16-64.16 42.55 57.45-59.46
residue Greater then 342 37.85 62.16-100 2.09 57.45-100
5.2 MID-VOLUME PERCENT
5.2.1 Pre-flash
stream Mid volume percent
Off Gases 1.07
Light Naphtha 8.02
5.2.2 Atmospheric tower
stream Mid volume percent
Gases 2.23
Naphtha 18.87
kerosene 32.56
diesel 51.63
residue 81.08
5.3 OVERALL MATERIAL BALANCE
streamvolume %
volume bbl
weight %
Weightlb
Density lb/bbl
APIMolecular weight
Moles
feed 100.0035000.0
0100.00
10255000.0
0293.00 37.20 210.00 48833
off Gases 2.32 812.00 1.50 153825.00 189.44125.7
060.00 2564
Naphtha 21.70 7595.00 18.60 1907430.00 251.14 65.50 90.00 21194
kerosene 17.08 5978.00 16.10 1651055.00 276.19 47.70 140.00 11793
diesel 21.06 7371.00 21.25 2179187.50 295.64 35.90 215.00 10136
over flash 2.00 700.00 2.09 214329.50 306.19 30.00 270.00 794
residue 37.8513247.5
042.55 4363502.50 329.38 18.80 - -
Density and API is taken from APPENDIX C
Molecular weight is computed from graph 2: Molecular weight curve
5.3.1 PRODUCT DISTRIBUTION AROUND PRE-FLASH AND ATMOSPHERIC
TOWER
Pre-Flash:
streamvolume
%volume
bblweight
%Weight
lbfeed 100 35000 100 10255000
off Gases 2.14 750 1.4 143570
Naphtha 11.4 4000 9.6 984480
Bottom 86.5 30250 89 9126950
Atmospheric Tower:
streamVolume
%Volume
bblWeight
%weight lb/day
tower feed 86.50 30250.00 89.00 9126950.00
Gases 0.18 62.00 0.10 10257.00
Naphtha 10.30 3595.00 9.00 922950.00
kerosene 17.08 5978.00 16.10 1651055.00
diesel 21.06 7371.00 21.25 2179187.50
over flash 2.00 700.00 2.09 214329.50
residue 37.85 13247.50 42.55 4363502.50
5.3.2 DISTRIBUTION OF NAPTHA IN PREFLASH AND ATMOSPHERIC
TOWER
Naphtha Recover∈preflash=40007595
Naphtha recover in pre-flash = 52.7%
Naptharecover∈Atmosphric tower=35957595
Naphtha recover in atmospheric tower = 47.3%
5.3.3 MATERIAL BALANCE AROUND ATMOSPHERIC TOWER
streamvolume
%volume
bblweight
%weight lb/day
Densitylb/bbl
APIMolecular
weightMoles
tower feed 86.50 30250.00 89.00 9126950.00 301.71 32.50 240.00 37688
Gases 0.18 62.00 0.10 10257.00 193.54 - 65.00 185
Naphtha 10.30 3595.00 9.00 922950.00 256.73 61.50 110.00 8390
kerosene 17.08 5978.00 16.10 1651055.00 276.19 47.70 140.00 11793
diesel 21.06 7371.00 21.25 2179187.50 295.64 35.90 215.00 10136
over flash 2.00 700.00 2.09 214329.50 306.19 30.00 270.00 794
residue 37.85 13247.50 42.55 4363502.50 329.38 18.80 - -
Density and API is taken from APPENDIX C
Molecular weight is computed from graph 2: Molecular weight curve
5.3.4 MATERIAL BALANCE AROUND PRE-FLASH
streamvolume
%volume
bblweight
%Weightlb/day
Density lb/bbl
APIMolecular
weightMoles
feed 100 35000 100 10255000 293 37.2 210 48333
off Gases 2.14 750 1.4 143570 191.4 112 55 2610
Naphtha 11.4 4000 9.6 984480 246.12 69.5 80 12306
Bottom 86.5 30250 89 9126950 301.79 32.5 - -
Density and API is taken from APPENDIX C
Molecular weight is computed from APPENDIX B graph 2: Molecular weight curve
5.4 STEAM REQUIRED
In CDU steam are required in the following position:
Kerosene stripper steam.
HSD stripper steam.
Bottom stripping steam.
We have two types of steam available:
Saturated steam at 8 bar, 172 C.⁰
Super Heated Steam at *bar, 360 C.⁰
In the atmospheric tower we use saturated steam
5.4.1 AMOUNT OF STEAM REQUIRED FOR THE FOLLOWIMG STEAM
STREAM Lb/galLb/bbl of product
BPSD product
Lb/day of steamMoles of
steam per day
Kerosene 0.3 12.6 5978 75323 4185
Diesel 0.5 21 7371 154791 8599
Reduced
crude0.6 25.2 13248 333850 18547
Total 563964 31331
Lb/gal of steam is taken from APPENDEX B figure 7.41 gal = 42 bbl
Amount Steam required = 23498 Lb/hr.
Amount Steam required = 1305 mol/hr.
5.5 ENERGY BALANCE AROUND ATMOSPHERIC TOWER
5.5.1 Latent heat
STREAMLatent Heat
Btu/LbHeat [ Q=mλ ]
BtuKerosene 108 1651055*108= 178313940
Diesel 92 2179187.5*92= 200485250
Total 378799190
λ is taken from APPENDEX B figure 5.8
5.5.2 Sensible Heat
STREAMSpecific
HeatBtu/Lb. F⁰
Heat [ Q=mCp∆T ]Btu
Gases 0.58 10257*0.58*(662-248)= 2462910.84
Naphtha 0.56 922950*0.56*(662-248)= 213976728
kerosene 0.57 1651055.00*0.57*(662-398)= 248450756.4
diesel 0.61 2179187.50*0.61*(662-527)= 179455925.9
residue 0.74 4363502.50*0.74*(662-635)= 87162799.95
steam 0.5 563964*0.5*(342-248)= 26506308
Total 758015429
Cp is taken from APPENDEX B figure 5.1 and 5.2∆T=Tin – Tout
Total heat to be removed = total latent heat + total sensible heat
Total heat to be removed = 758015429+378799190
Total heat to be removed = 1136814619 btu/day
Total heat to be removed = 1136.81 MMbtu/day
5.6 QUANTITIES OF REFLUX
5.6.1 HOT REFLUX
Reflux=Totalheat ¿beremoved ¿latent heat
Lbofhot Reflux=1136814619Btu128 Btu/Lb
Lb of hot reflex = 8881364.21 Lb/day
moles ofhot Reflux=8881364.21110
Moles of hot reflex = 80740 mol/day
bbl ofhot Reflux=8881364.21256.73
Bbl of hot Reflux = 34594.18 BPSD
5.6.2 COLD REFLUX
Reflux=Totalheat ¿beremoved ¿latent heat+sensible heat
Lbofcold Reflux= 1136814619128+(248−113 )∗0.56
Lb of cold reflex = 5583568.85 lb/day
moles ofcold Reflux=5583568.85110
moles of cold reflex = 50760 mol/day
bbl ofcold Reflux=5583568.85256.73
bbl of cold reflex = 21748.79 BPSD
5.6.3 CIRCULATING REFLUX
Reflux=Totalheat ¿beremoved ¿sensible heat
Lbofcirculating Reflux= 1136814619(248−150 )∗0.58
Lb of circulating reflux = 20000257.2 lb/day
moles ofcirculating Reflux=20000257.2110
Moles of circulating reflux = 181820 mol/day
bbl ofcirculating Reflux=20000257.2256.73
bbl of circulating reflux = 77903.85 BPSD
5.7 TOP TEMPERATURE
We are estimating top temperature by using cold reflux
Stream Moles
Gases 185
Naphtha 8390
Reflux 59335
Total vapor 59335
steam 31331
Total 90666
∂ pressure= totalmoles of vaportotal moles
∂ pressure=5933590666
∗32.7
Partial pressure=21.4 Psia
The dew point of overhead is 246 F. by using Maxwell correlation ⁰ APPENDEX B graph
5.27 at 2400F and 21.4 Psia the top temperature is corrected to 260 0F
However the computed top temperature is usually about 3% too high. Resulting in actual
top temperature=260*0.97 = 252 F.⁰
5.8 SIDE DRAW TEPERATURE
5.8.1 KEROSENE DRAW
LATENT HEAT
STREAMLatent Heat
Btu/LbHeat [ Q=mλ ]
BtuKerosene 108 1651055*108= 178313940
Diesel 92 2179187.5*92= 200485250
Total 378799190
λ is taken from APPENDEX B figure 5.8
SENSIBLE HEAT
STREAMSpecific
HeatBtu/Lb. F⁰
Heat [ Q=mCp∆T ]Btu
Gases 0.62 10257*0.62*(662-398)= 1678865.76
Naphtha 0.59 922950*0.59*(662-398)= 143758692
kerosene 0.581651055.00*0.58*(662-
398)=252809541.6
diesel 0.612179187.50*0.61*(662-
527)=179455925.9
residue 0.744363502.50*0.74*(662-
635)=87162799.95
steam 0.5 563964*0.5*(342-398)= -13681948
Total 651183877.2
Cp is taken from APPENDEX B figure 5.1 and 5.2, ∆T=Tin – Tout
Total heat at kerosene draw = 651183877.2+378799190
Total heat at kerosene draw = 1030002863 Btu
Reflux=Totalheat ¿beremoved ¿latent heat∗Molecular weight
moles of internalreflux=1030002863140∗108
Moles of internal reflux = 68121 mol.
Moles of steam = 31339 mol.
Total moles = Moles of internal reflux+ Moles of steam
Total moles = 99460 mol.
∂ pressure= totalmoles of vaportotal moles
∂ pressure=6812199460
∗38.7
Partial pressure = 26.4 Psia
The bubble point of kerosene is 350 F. by using Maxwell correlation ⁰ APPENDEX B graph
5.27 at 3500F and 26.4 Psia the top temperature is corrected to 398 0F
5.8.2 DIESEL DRAW
LATENT HEAT
STREAMLatent Heat
Btu/LbHeat [ Q = mλ ]
Btu
Diesel 92 2179187.5*92= 200485250
λ is taken from APPENDEX B figure 5.8
SENSIBLE HEAT:
STREAMSpecific
HeatBtu/Lb. F⁰
Heat [ Q = mCp∆T ]Btu
Gases 0.65 10257*0.65*(662-527)= 900051.75
Naphtha 0.62 922950*0.62*(662-527)= 77250915
kerosene 0.61 1651055.00*0.61*(662-527)= 135964379.3
diesel 0.61 2179187.50*0.61*(662-527)= 179455925.9
residue 0.74 4363502.50*0.74*(662-635)= 871837340
steam 0.5 563964*0.5*(342-527)= -30881125
Total 1234527487
Cp is taken from APPENDEX B figure 5.1 and 5.2∆T=Tin – Tout
Total heat at kerosene draw = 1234527487+200485250
Total heat at kerosene draw = 1435012553 Btu
Reflux=Totalheat ¿beremoved ¿latent heat∗Molecular weight
moles of internalreflux=1435012553215∗92
Moles of internal reflux = 72549 mol.
Molesof steam=33385018
Moles of steam=18547 mol.
Moles of gases=185 mol.
Moles of naphtha=8390 mol.
Total moles of vapor = 185+8390+72549
Total moles of vapor = 81124 mol.
Total moles = Total moles of vapor + Moles of steam
Total moles = 81124+18547
Total moles = 99671 mol.
∂ pressure= totalmoles of vaportotal moles
∂ pressure=8112499671
∗41
Partial pressure=33.4 psia
The bubble point of diesel is 450 F. by using Maxwell correlation ⁰ APPENDEX B graph 5.27
at 4500F and 33.4 Psia the top temperature is corrected to 525 0F
5.9 BOTTOM TEMPERATURE
∆ t=1.2 P+35DB
(T−Ta)+0.65SB
(T−Ts)
∆t = feed less then bottom temperature, F⁰
P = percent removed by stripping=4% (taken from APPENDEX B figure 7.4)
B = lb oil per hr=4363502.5 lb/day=181812.60 lb/hr
D = tower diameter, ft=10 ft (assumed)
S = lb steam per hr=333850 lb/day=13910.4 lb/hr
T = temperature of oil, F=662 F⁰ ⁰
Ta = temperature of air, F=85 F⁰ ⁰
Ts = temperature of incoming steam, F=342 F⁰ ⁰
∆ t=1.2(4)+3510
181812.60(662−85 )+0.65
13910.4181812.60
(662−342)
∆t = 4.8+1.11+15.91
∆t = 22 F⁰
∆t = feed temperature - bottom temperature
∆t = Tf - TB
TB = 662 - 22
TB = 640 F⁰
The actual bottom temperature is 635 F⁰
5.10 DIAMETER OF ATMOSPHERIC COLUMN
wa=K √ ρv ( ρL−ρv )
Where,
ρv = density of vapor, lb/cu ft
ρL = density of vapor, lb/cu ft
K is related to service and to tray spacing. For valve tray and tray spacing 22 inch
K = 1000 ft/hr
Density of liquid
Specific gravity at 248 F = 0.63⁰
Specific gravity= density of substancedensity of water at standard condition
ρL = 0.625*62.4
ρL = 39 lb/ft
DENSITY OF VAPOR
components moles Lb/day
Cold reflux 50760 5583568.85
Naphtha 8390 922950
Gases 185 10257
Steam 31331 563964
total 90666 7080739.85 lb/day
W = 295030.82 lb/hr
Volume of the top
V 2=
moles∗P1V 1
T 1
∗T 2
P2
V 2=
90666∗14.7∗379520
∗708
32.5
V2 = 21031792.0 ft3/day
ρ v=7080739.85 lb /day21031792.0 ft3/day
ρv=0.33 lb/ft3
wa=K √ ρv ( ρL−ρv )
295030.82a
=1000√0.33 (39−0.33)
a=82.6 ft2
Area=π d2
4
Diameter = 10 ft
Downcomer consist of 12% of total diameter so it becomes
Diameter = 1.12*10 ft
Diameter = 11 ft
Using diameter the corresponding linear velocity:
Volume = 21031792.0 ft3/day
Velocity=21031792.0 ft3/day82.6 ft3
Velocity=254622.179 ft /day24∗3600
Velocity = 2.94 ft/sec
5.11 EFV CURVE
Data is taken from TBP curve APPENDEX B graph 1
10% on TBP curve = 176 F⁰
70% on TBP curve = 698 F⁰
slope of TBP curve=698−17670−10
Slope of EFV curve = 5.8 (APPENDEX B figure 4.18)
50% on TBP = 580 (APPENDEX B graph 1)
50% on TBP-50% on EFV = 80 (APPENDEX B figure 4.19)
50% on EFV = 580-80
50% on EFV = 500
0% on EFV = 500-(50*5.8)
0% on EFV = 210
100% on EFV = 500+ (50*5.8)
100% on EFV = 790
By using 10%,50%,100% of EFV data we plot EFV curve APPENDEX B graph 4
From EFV curve APPENDEX B graph 4
Percent vaporize in the feed = 58.5%
Pressure at 34 plate = 28.7 psig
5.12 VAPORIZER TEMPERATURE
At 58.5% we have 550 F of temperature at equilibrium flash vaporization curve⁰
Stream Moles
Gases 185
Naphtha 8390
kerosene 11793
diesel 10136
over flash 794 .
Total vapor 31298
steam 18547
total 49845
∂ pressure= totalmoles of vaportotal moles
∂ pressure=3129849845
∗43.4
Partial pressure = 27.2 psia
By using Maxwell correlation APPENDEX B graph 5.27 at 5500F and 27.2 Psia the vaporizer
temperature is corrected to 600 0F
5.13 FLASH ZONE ENERGY BALANCE
At the flash zone we have temperature of 663 F and 35 psig.corrected the temperature by⁰
Maxwell correlation APPENDEX B graph 5.27 so the corrected temperature we have 550 F ⁰
at 760 mm Hg.
Volume % of vapor=58.5 vol. % and Volume % of liquid=41.5 vol. %
V’ = 0.585*30250
V’ = 17696.2 BPSD
W’ = 0.415*30250
W’ = 12553.8 BPSD
weight % of vapor=54.54 wt. % and Volume % of liquid=45.46 wt. %
V ’= 0.5454*9126950
V’ = 4977838.53 Lb/day.
W’ = 0.4546*9126950
W’ = 4149111.47 Lb/day.
Density= weightvolume
Density of vapor= 4977838.5317696.2
Density of vapor = 281.3 Lb/bbl.
API of vapor = 44.5 (Density and API relationship is taken from APPENDIX C)
Density of Liquid=4149111.4712553.8
Density of liquid = 330.5 Lb/bbl.
API of liquid = 18.25 (Density and API relationship is taken from APPENDIX C)
QFZI = V’H + W’H (Watkins graph 1. Enthalpy of Petroleum Fractions. APPENDIX B)
QFZI = (490*4977838.53) + (360*4149111.47)
QFZI = 3932821009 Btu/day.
5.14 FURNACE OUTLET
T = 355 C = 671 F⁰ ⁰
P = 40 Psig = 54.7 psia.
Correcting the temperature at 760 mmHg by using Maxwell correlation APPENDEX B
graph 5.27 we have 540 F.⁰
Using EFV curve APPENDEX B graph 4
Vol. % vapor = 56%
Volume % of vapor = 56 vol. % and Volume % of liquid = 44 vol. %
V’ = 0.56*30250
V’ = 16940 BPSD
Mid volume % = 56-(56/2) = 28
API = 45 (APPENDEX B graph 3)
ρ = 280.35 Lb/bbl (Density and API relationship is taken from APPENDIX C)
V’ = 280.35 * 16940
V’ = 4749129 Lb/day
W’= 0.44*30250
W’= 13310 BPSD
Mid volume % = 100-(44/2) = 78
API = 20 (APPENDEX B graph 3)
ρ = 326.68 Lb/bbl (Density and API relationship is taken from APPENDIX C)
V’ = 326.68 *13310
V’ = 4348110.8 Lb/day
QFo = V’H + W’H (Watkins graph 1. Enthalpy of Petroleum Fractions. APPENDIX B)
QFO = (495*4749129) + (365*4348110.8)
QFO = 3937879297 Btu/day
QFO
QFZI
=39378792973932821009
QFO
QFZI
=1.001
5.15 HEAT QUANTITIES AT FLASH ZONE
QL = Amount of liquid * Enthalpy of liquid at flash zone (APPENDIX B Watkins graph 1)
QL = 4363502.5 * 445
QL=1941758390btuday
QL=1941.75MMbtuday
Qsteam = amount of steam at flash zone * enthalpy of steam (APPENDIX B Watkins graph 1)
Qsteam = 333850 * 1190
Qsteam=397281500btuday
Qsteam=397.28MMbtuday
QFZI=3932.82MMbtuday
Qvapor=QFZI−QL
Qvapor = 3932.82 - 1941.75
1512.5 BPSD
5978 BPSD
7490.5 BPSD
75323 lb/day
Qvapor=1991.07MMbtuday
5.16 KEROSENE STRIPPER
Percent removed by stripping = 5% (APPENDIX B Watkins figure 7.4)
TBP cut range of kerosene = 149 C_232 C = 300 F_450 F⁰ ⁰ ⁰ ⁰
Draw tray temperature of kerosene = 398 F⁰
Stripping steam rate of kerosene = 12.6 lb/bbl
Product volume % (24.02-41.1) = 17.08
5.16.1 FEED
Feed volume% of crude= Product volume∗feedProduct
Feed volume% of crude=17.08∗7490.55958
Feed volume % of crude = 21.41 %
Mid Volume % = 41-(21.41/2)
Mid Volume % = 30.4 vol. %
API = 50 (APPENDEX B graph 3)
ρ = 272.58 lb/day (Density and API relationship is taken from APPENDIX C)
Lb = 2041760.5 Lb/day
5.16.2 PRODUCT
Volume = 5978 BPSD
API = 47.7 (APPENDEX B graph 3)
ρ = 276.18 lb/day (Density and API relationship is taken from APPENDIX C)
Lb = 1651055 Lb/day
5.16.3 VAPOR
Volume = 1512.5 BPSD
Lb = 390705.5 Lb/day
ρ = 258.34 lb/day
API = 60 (Density and API relationship is taken from APPENDIX C)
5.16.4 STRIPPEDOUT FRACTION
Strippedout fraction=VaporFeed
Strippedout fraction=1512.57490.5
Stripped out fraction = SF = 20.1 vol.%
Steam free ∆T = 37 F⁰ (APPENDEX B Figure 2.20)
Feed temperature-stripping steam temperature = tf - ts = 398 - 342 = 56 F⁰
Temperature error = -1 F⁰ (APPENDEX B Figure 2.21)
Actual temperature = steam free ∆T-correction
Actual temperature = 37-(-1)
Actual temperature drop= 38 F⁰
Toptray exit vapor temperature=398−385
=3900 F
5.16.5 DENSITY OF LIQUID
Kerosene API = 47.7
60 F Density = 49.35 lb/ft⁰ 3
Using figure 5.14 from nelson
Specific gravity= density of substancedensity of water at standard condition
Specific gravity of kerosene = 0.62
ρL = 0.62 * 62.4
ρL = 38.68 lb/ft3
5.16.6 DENSITY OF VAPOR
Top tray Temperature = 388.5 F⁰
Top tray Pressure = 23.3 Psig = 38psia
Lb of vapor evaporated = 390705.5 lb/day
Molecular weight = 140
Moles = 279.1 mol.
Moles of steam = 75323 lb/day
Lb of steam = 4185 mol/day
Total moles = 6976 mol.
Total lb = 466028.5 lb/day
W = 19417.85 lb/hr
By using general gas law
2359.5 BPSD
7371 BPSD
9730.5 BPSD
154791 lb/day
V 2=
moles∗P1V 1
T 1
∗T 2
P2
V 2=
6976∗14.7∗379520
∗850
38
V2 = 1668891 ft3/day
ρ v=lbof vapor
volumeof vapor
ρv = 0.27 lb/ft3
wa=K √ ρv ( ρL−ρv )
19417.85a
=1000√0 .27(38 .68−0 .27)
a = 6.03 ft2
Diameter = 2.7 ft
Down comer consist of 12% of total diameter so it becomes
Diameter = 2.7 * 1.12
Diameter = 3 ft
5.17 DIESEL STRIPPER
From the graph:
Percent removed by stripping = 7.8%
TBP cut range = 232 C_342 C = 450 F_648 F⁰ ⁰ ⁰ ⁰
Draw tray temperature of Diesel = 527 F⁰
Stripping steam rate of Diesel = 21 lb/bbl
Product volume % (41.1-62.16) = 21.06
5.17.1 FEED
Feed volume% of crude= Product volume∗feedProduct
Feed volume% of crude=21.06∗9730.57371
Feed volume % of crude = 27.8 %
Mid Volume % = 62.16-(27.8/2)
Mid Volume % = 48.25
API = 37 (APPENDEX B graph 3)
ρ = 293.70 lb/day (Density and API relationship is taken from APPENDIX C)
Lb = 2857847.85 Lb/day
5.17.2 PRODUCT
API = 35.9 (APPENDEX B graph 3)
ρ = 295.64 lb/day (Density and API relationship is taken from APPENDIX C)
Lb = 2179185.5 Lb/day
Volume = 7371 BPSD
5.17.2 VAPOR
Volume = 2359.5 BPSD
Lb = 678662.35 Lb/day
ρ = 287.63 lb/day
API = 40.5 (Density and API relationship is taken from APPENDIX C)
5.17.3 STRIPPEDOUT FRACTION
Strippedout fraction=VaporFeed
Strippedout fraction=2359.59730.5
Stripped out fraction = SF = 24.2 vol.%
Steam free ∆T = 37 F⁰ (APPENDEX B Figure 2.20)
Feed temperature-stripping steam temperature = tf - ts = 527-342 = 185 F⁰
Temperature error = -6 F⁰ (APPENDEX B Figure 2.21)
Actual temperature = steam free ∆T-correction
Actual temperature = 37-(-6)
Actual temperature = 43 F⁰
Toptray exit vapor temperature=398−435
=5180F
5.17.4 DENSITY OF LIQUID
Diesel API = 35.9
60 F Density = 52.74 lb/ft⁰ 3
Using figure 5.14 from nelson
Specific gravity= density of substancedensity of water at standard condition
Specific gravity of Diesel = 0.63
ρL = 0.63*62.4
ρL = 39.3 lb/ft3
5.17.5 DENSITY OF VAPOR
Temperature = 518 F⁰
Pressure = 25.5 Psig = 40.2psia
Lb of vapor evaporated = 678662.35 lb/day
Molecular weight = 215
Moles = 3156 mol.
Lb of steam = 154791 lb/day
Moles of steam = 8600 mol/day
Total moles = 11756 mol.
Total lb = 833453.35 lb/day
W = 34727.24 lb/hr
V 2=
moles∗P1V 1
T 1
∗T 2
P2
V 2=
11756∗14.7∗379520
∗978
40.2
V2 = 3064260 ft3/day
ρ v=lbof vapor
volumeof vapor
ρv = 0.27 lb/ft3
wa=K √ ρv ( ρL−ρv )
34727.24a
=1000√0 .27 (39.3−0 .27)
a = 10.6 ft2
Diameter = 3.5 ft
Down comer consist of 12% of total diameter so it becomes
Diameter = 3.5*1.12
Diameter = 4 ft
5.18 NUMBER OF TRAYS
Recommended practice table is taken from Petroleum Refinery Engineering by W.L.Nelson.
(APPENDIX B table 16.13)
For better separation and meet our product specification. We use the following number of trays.
Material separated trays
Naphtha to kerosene 16
Kerosene to diesel 6
Diesel to gasoline 3
Flash zone to 1st side draw 3
Steam stripping section 4
total 32
Kerosene side stripper = 5 trays
Diesel side stripper = 5 trays
Different trays have different efficiency range. We are using valve tray having 85%
efficiency
Actual no .of trays= 320.85
Actual no. of trays = 38 trays
Tray spacing = 22 inch
Tower height = 22*38 = 836 inch.
Tower height = 70 ft = 21 meter
In this column the no. of trays are somewhat higher than the theoretical limits especially
at the upper section. These are employing for better separation, and to work efficiently on
different crude. Also upper section contains TPA drawn from the tray 8 and return to
tray6.
5.19 WATER CONDENSER DUTY
Steam temperature = 248 F⁰
The vapor will first pass trough the air cooler and then water condenser. Set an approach
for 50 F for air cooler exchanger, so temperature at the water condenser will be 198 F. ⁰ ⁰
Hence, all the steam will condense.
Utility water available at 35 C and it can cool the mixture upto 40 C.⁰ ⁰
Therefore mixture in overhead condenser cools from 198 ⁰F to 105 ⁰F
Sensible heat required to cool water from 198 ⁰F to 105 ⁰F
Qw = mCp∆T
Qw = 563964 * 1 * (198 - 105) (Cp of water at 35 ⁰C is Btu/lb.⁰F)
Qw = 52448652 btu/day
Latent heat required for Naphtha
Q = mλ
Q = 922950*128
Q = 118137600 Btu/day
Sensible heat required for Naphtha to cool it from 198 ⁰F to 105 ⁰F
Q = mCp∆T
Q = 922950*0.55*(198-105)
Q = 47208892.5 btu/day
Total heat required ¿beremoved=Sensible heat of Naphtha+Latent heat of naphtha+Sensible heat required ¿ coolwater
Total heat required to be removed = 52448652 + 118137600 + 47208892.5
Total heat required to be removed = 217795144.5 Btu/day
5.20 COOLING WATER REQUIRED IN THE OVERHEAD WATER
CONDENSER
Water supply temperature = 95 ⁰F
Maximum water return temperature = 130 ⁰F
Allowable water, change in temperature = 35⁰F
∆T = (130-95) = 35⁰F
Amount of cooling water required:
Q = mCp∆T
217795144.5 = m * 1 * (130- 95) (Cp of water at 35 ⁰C is Btu/lb.⁰F)
m = 6222718.4 lb/day
m = 259280 lb/hr /2.204 lb/kg
m = 571453 kg/hr.
5.21 PRE-FLASH
5.21.1 ENERGY BALANCE
STREAM Specific HeatBtu/Lb. F⁰
Heat [ Q = mCp∆T ]Btu
Off Gases 0.5 143570*0.5*(374-230) = 10337040
Naphtha 0.47 984480*0.47*(374-230) = 66629606.4
Bottom 0.61 9126950*0.61*(374-347) = 150320866.5
steam 0.5 244800*0.5*(680-230) = 55080000
Total 282367513
Theoretical steam required is 2% of crude
Steam required = 0.02*35000
Steam required = 700 bbl/day
Superheated steam is available at 360 C, 8bar.⁰
Weight of steam required = 10200 lb/hr
Weight of steam required = 244800 lb/day
Moles of steam = 13600mol/day.
Cold Reflux:
Reflux=Totalheat ¿beremoved ¿latent heat+sensible heat
Lbof cold Reflux= 282367513125+(230−113 )∗0.58
Lb of Reflux = 1464104 lb/day
moles of cold Reflux=146410480
Moles of cold reflux = 18301 mol/day
bbl of cold Reflux=1464104
lbday
246.12lbbbl
bbl of cold reflux = 5948.7 bbl/day.
5.21.2 DIAMETER OF PRE-FLASH
Stream Moles Lb/day
Cold Reflux 18301 1464104
Light Naphtha 12306 984480
Off Gases 2610 143570
Steam 13600 244800
total 46817 2836954
W = 2836954/24 = 118206.4 lb/hr
5.21.2.3 DENSITY OF LIQUID
Diesel API = 69.5
Using figure 5.14 from nelson
Specific gravity at 230 F = 0.62⁰
ρL = 0.62 * 62.4
ρL = 38.6 lb/ft3
5.21.4 DENSITY OF VAPOR
V 2=
moles∗P1V 1
T 1
∗T 2
P2
V 2=
46817∗14.7∗379520
∗690
32.7
V2 = 10584202.01 ft3/day
ρv = 0.2 lb/ft3
wa=K √ ρv ( ρL−ρv )
118206.4a
=1000 √0 .2(38.6−0 .2)
a = 42.6 ft2
Diameter = 7.2 ft
Down comer consist of 12% of total diameter so it becomes
Diameter = 7.2*1.12
Diameter = 8 ft
Vapor velocity=10584202.01 ft3/day42.6 ft2
Vapor Velocity = 2484554 ft/day = 2.8 ft/sec
5.21.5 NUMBER OF TRAYS
Two-phase separator can also be used instead of pre-flash but for better separation,
reducing the load and duty in distillation column and optimum efficiency we employed a
pre-flash tower with 20 trays thus the height of the pre-flash tower will be:
Tray Spacing = 22 inch
Height = 20 * 22 = 440 inch
Height = 440/12 = 37 ft.