lampiran d(head n daya pompa)
TRANSCRIPT
LAMPIRAN D
PERHITUNGAN KAPASITAS POMPA 355NS II SULZER PADA SERI
JALUR I MAIN SUMP UTARA
Menurut persamaan Bernouli, berdasarkan kondisi diatas maka total head pompa
dapat diketahui dengan :
P1γ1
+V12
2g+Z1+ H =P2
γ2+ V22
2g+Z2+ HL
Karena γ1 = γ2 , maka
H= P2 - P1γ
+ V22 - V12
2g+Z2 - Z1+ HL
H= ΔPγ
+ ΔV 2
2g+Hst+ HL
Htotal = Pγ
+ z + HL + Hv
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head
(Hv)
Data yang diketahui :
1) Elevasi isap = -70 mdpl
2) Elevasi buang = 0 mdpl
3) Beda elevasi (z) = 70 m
4) Debit (Q) = 9,63 m3/menit = 0,1605 m3/s
5) Panjang Pipa equivalen
D-1
D-2
Ball valve DN 200 = 75D = 15 m
Lima Buah elbow 400 DN 400 = 5 x 20D = 40 m
Gate Valve DN 200 = 40D = 8 m
Swing Valve DN 200 = 80D = 16 m
1. Head loss in pipe
a. Pipa baja DN 400 sepanjang 5 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,1605 )1 .85
1101.850,44 .85x 5 m
= 0,03 m
b. Pipa HDPE 400/320 sepanjang 336 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 1605 )1 .85
1401 .85 0 , 324 .85x 336 m
= 3,27 m
c. Pipa HDPE 200/160 sepanjang 108 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,1605 )1 .85
1401 .85 0 ,164 .85x 108 m
= 30,29 m
D-3
d. Rubber Hose DN 250 sepanjang 5 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,1605 )1 .85
1401 .85 0,24 .85x 5 m
= 0,16 m
2.Head Loss in accessories
a.Ball valve DN 200 Equivalent length = 15 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (Le)
Hf =
10 , 666(0 , 1605 )1 .85
1101.850,24 .85x 15 m
= 2,23 m
b. Lima Buah elbow 400 DN 400 Equivalent length = 40 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,1605 )1 .85
1101.850,44 .85x 40 m x 5
= 0,21 m
c. Gate Valve DN 200 Equivalent length = 8 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 1605 )1 .85
1101.850,24 .85x 8 m
D-4
= 1,19 m
d. Swing Valve DN 200 Equivalent length = 16 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,1605 )1 .85
1101.850,24 .85x 16 m
= 2,38 m
3. Pressure Head ( Pγ
¿
∆Hp = Hp1 – Hp2
Hp1 = 10,33
( 1 −0 ,0065 x H1
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x −70
288)5 ,256
= 10,416 m
Hp2 = 10,33 ( 1 −
0 ,0065 x H2
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 0
288)5 , 256
= 10,33 m
∆Hp = Hp1 – Hp2
∆Hp = 10,416 – 10,33
= 0,383 m
4. Fitting on pipe
D-5
a. DN 200/160, f = 0,1
Hf = f
v12
2g x n
= 0,1
7 ,982
2x9,8 x 10 = 0,33 m
b. DN 400/320 , f = 0,1
Hf = f
v22
2g x 31
= 0,1
1 ,992
2x9,8 x 31 = 0,63 m
5. Velocity Head (Hv)
Hv =
v22
2g
= (7,98) 2 2 x 9,8
= 2,74 m
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head (Hv)
= 70 m + (0,03 + 3,27 + 30,29 + 0,16 + 0,21 + 1,19 +
2,38 + 2,23) m + 0,38 m + 3,25 m
= 108.25 m
Daya Pompa
1. Daya Hidrolik (Hydrolic Horse Power)
HHP = Q x H 75
= 0,1605 m 3 /s x 108.25 m x 1000 kg/m 3 75
D-6
= 231.655 Hp
2. Daya poros pompa (Break Horse Power)
BHP = HHP ηp
= 231.655 Hp 79 %
= 293.234 Hp
PERHITUNGAN KAPASITAS POMPA 385NS I SULZER PADA SERI
JALUR II MAIN SUMP UTARA
Menurut persamaan Bernouli, berdasarkan kondisi diatas maka total head pompa
dapat diketahui dengan :
P1γ1
+V12
2g+Z1+ H =P2
γ2+ V22
2g+Z2+ HL
Karena γ1 = γ2 , maka
H= P2 - P1γ
+ V22 - V12
2g+Z2 - Z1+ HL
H= ΔPγ
+ ΔV 2
2g+Hst+ HL
Htotal = Pγ
+ z + HL + Hv
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head
(Hv)
Data yang diketahui :
1)Elevasi isap = -70 mdpl
2)Elevasi buang = 0 mdpl
D-7
3)Beda elevasi (z) = 70 m
4) Debit (Q) = 9,61 m3/menit = 0,1602 m3/s
5) Panjang Pipa equivalen
Ball valve DN 200 = 75D = 15 m
Lima Buah elbow 400 DN 400 = 5 x 20D = 40 m
Gate Valve DN 200 = 40D = 8 m
Swing Valve DN 200 = 80D = 16 m
1. Head loss in pipe
a. Pipa baja DN 400 sepanjang 5 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 1602)1 .85
1101.850,44 .85x 5 m
= 0,03 m
b. Pipa HDPE 400/320 sepanjang 366 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 1602)1 .85
1401 .85 0 , 324 .85x 366 m
= 3,55 m
c. Pipa HDPE 200/160 sepanjang 108 m
D-8
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 1602)1 .85
1401 .85 0 , 164 .85x 108 m
= 30,17 m
d. Rubber Hose DN 250 sepanjang 5 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 1602)1 .85
1401 .85 0,24 .85x 5 m
= 0,18 m
2.Head Loss in accessories
a.Ball valve DN 200 Equivalent length = 15 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (Le)
Hf =
10 , 666(0 , 1602)1 .85
1101.850,24 .85x 15 m
= 2,22 m
b. Lima Buah elbow 400 DN 400 Equivalent length = 40 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 1602)1 .85
1101.850,44 .85x 40 m x 5
= 0,21 m
D-9
c. Gate Valve DN 200 Equivalent length = 8 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 1602)1 .85
1101.850,24 .85x 8 m
= 1,18 m
d. Swing Valve DN 200 Equivalent length = 16 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 1602)1 .85
1101.850,24 .85x 16 m
= 2,37 m
3. Pressure Head ( Pγ
¿
∆Hp = Hp1 – Hp2
Hp1 = 10,33
( 1 −0 ,0065 x H1
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x −70
288)5 ,256
= 10,416 m
Hp2 = 10,33 ( 1 −
0 ,0065 x H2
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 0
288)5 , 256
D-10
= 10,33 m
∆Hp = Hp1 – Hp2
∆Hp = 10,416 – 10,33
= 0,383 m
4. Fitting on pipe
a. DN 200/160, f = 0,1
Hf = f
v12
2g x n
= 0,1
52
2x9,8 x 3 = 0,38 m
b. DN 400/320 , f = 0,1
Hf = f
v22
2g x n
= 0,1
2 ,012
2x9,8 x 48 = 0,99 m
5. Velocity Head (Hv)
Hv =
v22
2g
= (7,32) 2 2 x 9,8
= 2,74 m
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head (Hv)
= 70 m + (0,03 + 3,55 + 30,17 + 0,18 + 0,21 + 1,18 +
2,37 + 2,22) m + 0,38 m
= 110.27 m
D-11
Daya Pompa
1. Daya Hidrolik (Hydrolic Horse Power)
HHP = Q x H 75
= 0,1602 m 3 /s x 110.27 m x 1000 kg/m 3 75
= 235.537Hp
2. Daya poros pompa (Break Horse Power)
BHP = HHP ηp
= 235.537Hp 79 %
= 298.148 Hp
PERHITUNGAN KAPASITAS POMPA 355NS II SULZER PADA SERI
JALUR III MAIN SUMP UTARA
Menurut persamaan Bernouli, berdasarkan kondisi diatas maka total head pompa
dapat diketahui dengan :
P1γ1
+V12
2g+Z1+ H =P2
γ2+ V22
2g+Z2+ HL
Karena γ1 = γ2 , maka
D-12
H= P2 - P1γ
+ V22 - V12
2g+Z2 - Z1+ HL
H= ΔPγ
+ ΔV 2
2g+Hst+ HL
Htotal = Pγ
+ z + HL + Hv
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head
(Hv)
Data yang diketahui :
1)Elevasi isap = -70 mdpl
2)Elevasi buang = 0 mdpl
4)Beda elevasi (z) = 70 m
5) Debit (Q) = 8,72 m3/menit = 0,1453 m3/s
6) Panjang Pipa equivalen
Ball valve DN 200 = 75D = 15 m
Lima Buah elbow 400 DN 400 = 5 x 20D = 40 m
Gate Valve DN 200 = 40D = 8 m
Swing Valve DN 200 = 80D = 16 m
1. Head loss in pipe
a. Pipa baja DN 400 sepanjang 5 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 1453 )1 .85
1101.850,44 .85x 5 m
= 0,02 m
D-13
b. Pipa HDPE 400/320 sepanjang 336 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,1453 )1 .85
1401 .85 0 ,324 .85x 336 m
= 2,72 m
c. Pipa HDPE 200/160 sepanjang 132 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 1453 )1 .85
1101.850 ,164 .85x 132 m
= 30,81m
d. Rubber Hose DN 250 sepanjang 5 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,1453 )1 .85
1401 .85 0,24 .85x 5 m
= 0,15 m
2.Head Loss in accessories
a.Ball valve DN 200 Equivalent length = 15 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (Le)
D-14
Hf =
10 ,666(0 ,1453 )1 .85
1101.850,24 .85x 15 m
= 1,85 m
b. Lima Buah elbow 400 DN 400 Equivalent length = 40 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 1453 )1 .85
1101.850,44 .85x 40 m x 5
= 0,17 m
c. Gate Valve DN 200 Equivalent length = 8 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,1453 )1 .85
1101.850,24 .85x 8 m
= 0,99 m
d. Swing Valve DN 200 Equivalent length = 16 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 1453 )1 .85
1101.850,24 .85x 16 m
= 1,98 m
3. Pressure Head ( Pγ
¿
∆Hp = Hp1 – Hp2
D-15
Hp1 = 10,33
( 1 −0 ,0065 x H1
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x −70
288)5 ,256
= 10,416 m
Hp2 = 10,33 ( 1 −
0 ,0065 x H2
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 0
288)5 , 256
= 10,33 m
∆Hp = Hp1 – Hp2
∆Hp = 10,416 – 10,33
= 0,383 m
4. Fitting on pipe
a. DN 200/160, f = 0,1
Hf = f
v12
2g x n
= 0,1
52
2x9,8 x 3 = 0,38 m
b. DN 400/320 , f = 0,1
Hf = f
v22
2g x n
= 0,1
2 ,012
2x9,8 x 48 = 0,99 m
5. Velocity Head (Hv)
D-16
Hv =
v22
2g
= (7,32) 2 2 x 9,8
= 2,74 m
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head (Hv)
= 70 m + (0,02 + 2,72 + 30,81 + 0,15 + 0,17 + 0,99 +
1,98 + 1,85) m + 0,38 m
= 109.07 m
Daya Pompa
1. Daya Hidrolik (Hydrolic Horse Power)
HHP = Q x H 75
= 0,1453 m 3 /s x 109.07m x 1000 kg/m 3 75
= 211,3 Hp
2. Daya poros pompa (Break Horse Power)
BHP = HHP ηp
= 211,3 Hp 79 %
= 267.475 Hp
D-17
PERHITUNGAN KAPASITAS POMPA 355NS II SULZER PADA SERI
JALUR IV MAIN SUMP UTARA
Menurut persamaan Bernouli, berdasarkan kondisi diatas maka total head pompa
dapat diketahui dengan :
P1γ1
+V12
2g+Z1+ H =P2
γ2+ V22
2g+Z2+ HL
Karena γ1 = γ2 , maka
H= P2 - P1γ
+ V22 - V12
2g+Z2 - Z1+ HL
H= ΔPγ
+ ΔV 2
2g+Hst+ HL
Htotal = Pγ
+ z + HL + Hv
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head
(Hv)
Data yang diketahui :
1)Elevasi isap = -70 mdpl
2)Elevasi buang = 0 mdpl
3)Beda elevasi (z) = 70 m
4) Debit (Q) = 9,42 m3/menit = 0,157 m3/s
5) Panjang Pipa equivalen
Ball valve DN 200 = 75D = 15 m
Lima Buah elbow 400 DN 400 = 5 x 20D = 40 m
D-18
Gate Valve DN 200 = 40D = 8 m
Swing Valve DN 200 = 80D = 16 m
1. Head loss in pipe
a. Pipa baja DN 400 sepanjang 5 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,157 )1.85
1101.850,44 .85x 5 m
= 0,02 m
b. Pipa HDPE 400/320 sepanjang 336 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 157 )1.85
1401 .85 0 , 324 .85x 336 m
= 3,14 m
c. Pipa HDPE 200/160 sepanjang 132 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,157 )1.85
1101.850 ,164 .85x 132 m
= 32,31m
d. Rubber Hose DN 250 sepanjang 5 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
D-19
Hf =
10 ,666(0 ,157 )1.85
1101.850,24 .85x 5 m
= 0,18 m
2.Head Loss in accessories
a.Ball valve DN 200 Equivalent length = 15 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (Le)
Hf =
10 , 666(0 , 157 )1.85
1101.850,24 .85x 15 m
= 2,41 m
b. Lima Buah elbow 400 DN 400 Equivalent length = 40 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,157 )1.85
1101.850,44 .85x 40 m x 5
= 0,2 m
c. Gate Valve DN 200 Equivalent length = 8 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 157 )1.85
1101.850,24 .85x 8 m
= 1,14 m
d. Swing Valve DN 200 Equivalent length = 16 m
D-20
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,157 )1.85
1101.850,24 .85x 16 m
= 2,28 m
3. Pressure Head ( Pγ
¿
∆Hp = Hp1 – Hp2
Hp1 = 10,33
( 1 −0 ,0065 x H1
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x −70
288)5 ,256
= 10,416 m
Hp2 = 10,33 ( 1 −
0 ,0065 x H2
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 0
288)5 , 256
= 10,33 m
∆Hp = Hp1 – Hp2
∆Hp = 10,416 – 10,33
= 0,383 m
4. Fitting on pipe
a. DN 200/160, f = 0,1
D-21
Hf = f
v12
2g x n
= 0,1
52
2x9,8 x 3 = 0,38 m
b. DN 400/320 , f = 0,1
Hf = f
v22
2g x n
= 0,1
2 ,012
2x9,8 x 48 = 0,99 m
5. Velocity Head (Hv)
Hv =
v22
2g
= (7,32) 2 2 x 9,8
= 2,74 m
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head (Hv)
= 70 m + (0,02 + 3,14 + 32,31 + 0,18 + 0,2 + 1,14 +
2,28 + 2,14) m + 0,38 m
= 111.78 m
Daya Pompa
1. Daya Hidrolik (Hydrolic Horse Power)
HHP = Q x H 75
= 0,157 m 3 /s x 111.78 m x 1000 kg/m 3 75
= 233.992 Hp
D-22
2. Daya poros pompa (Break Horse Power)
BHP = HHP ηp
= 233.992 Hp 79 %
= 296.193 Hp
PERHITUNGAN KAPASITAS POMPA 385NS I SULZER PADA SERI
JALUR V MAIN SUMP UTARA
Menurut persamaan Bernouli, berdasarkan kondisi diatas maka total head pompa
dapat diketahui dengan :
P1γ1
+V12
2g+Z1+ H =P2
γ2+ V22
2g+Z2+ HL
Karena γ1 = γ2 , maka
H= P2 - P1γ
+ V22 - V12
2g+Z2 - Z1+ HL
H= ΔPγ
+ ΔV 2
2g+Hst+ HL
Htotal = Pγ
+ z + HL + Hv
D-23
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head
(Hv)
Data yang diketahui :
1)Elevasi isap = -70 mdpl
2)Elevasi buang = 0 mdpl
3)Beda elevasi (z) = 70 m
4) Debit (Q) = 9,01 m3/menit = 0,15 m3/s
5) Panjang Pipa equivalen
Ball valve DN 200 = 75D = 15 m
Lima Buah elbow 400 DN 400 = 5 x 20D = 40 m
Gate Valve DN 200 = 40D = 8 m
Swing Valve DN 200 = 80D = 16 m
1. Head loss in pipe
a. Pipa baja DN 400 sepanjang 5 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,15 )1 .85
1101.850,44 .85x 5 m
= 0,02 m
b. Pipa HDPE 400/320 sepanjang 348 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
D-24
Hf =
10 ,666(0 ,15 )1 .85
1401 .85 0,44 .85x 348 m
= 2,99 m
c. Pipa HDPE 200/160 sepanjang 168 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 150 )1 .85
1101.850,24 .85x 168 m
= 41,65 m
d. Rubber Hose DN 250 sepanjang 5 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,15 )1 .85
1101.850,24 .85x 5 m
= 0,16 m
2.Head Loss in accessories
a.Ball valve DN 200 Equivalent length = 15 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (Le)
Hf =
10 , 666(0 , 15 )1 .85
1101.850,24 .85x 15 m
= 1,97 m
b. Lima Buah elbow 400 DN 400 Equivalent length = 40 m
D-25
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,15 )1 .85
1101.850,44 .85x 40 m x 5
= 0,18 m
c. Gate Valve DN 200 Equivalent length = 8 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 15 )1 .85
1101.850,24 .85x 8 m
= 1,05 m
d. Swing Valve DN 200 Equivalent length = 16 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,15 )1 .85
1101.850,24 .85x 16 m
= 2,1 m
3. Pressure Head ( Pγ
¿
∆Hp = Hp1 – Hp2
Hp1 = 10,33
( 1 −0 ,0065 x H1
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x −70
288)5 ,256
D-26
= 10,416 m
Hp2 = 10,33 ( 1 −
0 ,0065 x H2
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 0
288)5 , 256
= 10,33 m
∆Hp = Hp1 – Hp2
∆Hp = 10,416 – 10,33
= 0,383 m
4. Fitting on pipe
a. DN 200/160, f = 0,1
Hf = f
v12
2 g x n
= 0,1
52
2 x9,8 x 3 = 0,38 m
b. DN 400/320 , f = 0,1
Hf = f
v22
2 g x n
= 0,1
2 ,012
2 x9,8 x 48 = 0,99 m
5. Velocity Head (Hv)
Hv =
v22
2 g
= (7,32) 2 2 x 9,8
= 2,74 m
D-27
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head (Hv)
= 70 m + (0,02 + 2,99 + 41,65 + 0,16 + 0,18 + 1,05 +
2,1 + 1,97) m + 0,383 m
= 120.523 m
Daya Pompa
1. Daya Hidrolik (Hydrolic Horse Power)
HHP = Q x H 75
= 0,15 m 3 /s x 120.523m x 1000 kg/m 3 75
= 241.046 Hp
2. Daya poros pompa (Break Horse Power)
BHP = HHP ηp
= 241.046 Hp 79 %
= 305.122 Hp
PERHITUNGAN KAPASITAS POMPA 385NS I SULZER PADA SERI
JALUR VI MAIN SUMP UTARA
D-28
Menurut persamaan Bernouli, berdasarkan kondisi diatas maka total head pompa
dapat diketahui dengan :
P1γ1
+V12
2g+Z1+ H =P2
γ2+ V22
2g+Z2+ HL
Karena γ1 = γ2 , maka
H= P2 - P1γ
+ V22 - V12
2g+Z2 - Z1+ HL
H= ΔPγ
+ ΔV 2
2g+Hst+ HL
Htotal = Pγ
+ z + HL + Hv
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head
(Hv)
Data yang diketahui :
1)Elevasi isap = -70 mdpl
2)Elevasi buang = 0 mdpl
3)Beda elevasi (z) = 70 m
5) Debit (Q) = 8,84 m3/menit = 0,147 m3/s
6) Panjang Pipa equivalen
Ball valve DN 200 = 75D = 15 m
Lima Buah elbow 400 DN 400 = 5 x 20D = 40 m
Gate Valve DN 200 = 40D = 8 m
Swing Valve DN 200 = 80D = 16 m
D-29
1. Head loss in pipe
a. Pipa baja DN 400 sepanjang 5 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,147 )1.85
1101.850,44 .85x 5 m
= 0,02 m
b. Pipa HDPE 400/320 sepanjang 348 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 147 )1.85
1401 .85 0 , 324 .85x 348 m
= 2,99 m
c. Pipa HDPE 200/160 sepanjang 168 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,147 )1.85
1101.850 ,164 .85x 168 m
= 41,65 m
d. Rubber Hose DN 250 sepanjang 5 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 147 )1.85
1101.850,24 .85x 5 m
D-30
= 0,16 m
2.Head Loss in accessories
a.Ball valve DN 200 Equivalent length = 15 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (Le)
Hf =
10 ,666(0 ,147 )1.85
1101.850,24 .85x 15 m
= 1,97 m
b. Lima Buah elbow 400 DN 400 Equivalent length = 40 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 147 )1.85
1101.850,44 .85x 40 m x 5
= 0,18 m
c. Gate Valve DN 200 Equivalent length = 8 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,147 )1.85
1101.850,24 .85x 8 m
= 1,05 m
d. Swing Valve DN 200 Equivalent length = 16 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
D-31
Hf =
10 ,666(0 ,147 )1.85
1101.850,24 .85x 16 m
= 2,1 m
3. Pressure Head ( Pγ
¿
∆Hp = Hp1 – Hp2
Hp1 = 10,33
( 1 −0 ,0065 x H1
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x −70
288)5 ,256
= 10,416 m
Hp2 = 10,33 ( 1 −
0 ,0065 x H2
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 0
288)5 , 256
= 10,33 m
∆Hp = Hp1 – Hp2
∆Hp = 10,416 – 10,33
= 0,383 m
4. Fitting on pipe
a. DN 200/160, f = 0,1
Hf = f
v12
2 g x n
= 0,1
52
2 x9,8 x 3 = 0,38 m
D-32
b. DN 400/320 , f = 0,1
Hf = f
v22
2g x n
= 0,1
2 ,012
2x9,8 x 48 = 0,99 m
5. Velocity Head (Hv)
Hv =
v22
2g
= (7,32) 2 2 x 9,8
= 2,74 m
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head (Hv)
= 70 m + (0,02 + 2,99 + 41,65 + 0,16 + 0,18 + 1,05 +
2,1 + 1,97) m + 0,383 m
= 120.523 m
Daya Pompa
1. Daya Hidrolik (Hydrolic Horse Power)
HHP = Q x H 75
= 0,15 m 3 /s x 120.523m x 1000 kg/m 3 75
= 241.046 Hp
2. Daya poros pompa (Break Horse Power)
BHP = HHP ηp
= 241.046 Hp 79 %
D-33
= 305.122 Hp
PERHITUNGAN KAPASITAS POMPA 355NS II SULZER PADA SERI
JALUR I PETRUK
Menurut persamaan Bernouli, berdasarkan kondisi diatas maka total head pompa
dapat diketahui dengan :
P1γ1
+V12
2g+Z1+ H =P2
γ2+ V22
2g+Z2+ HL
Karena γ1 = γ2 , maka
H= P2 - P1γ
+ V22 - V12
2g+Z2 - Z1+ HL
H= ΔPγ
+ ΔV 2
2g+Hst+ HL
Htotal = Pγ
+ z + HL + Hv
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head
(Hv)
Data yang diketahui :
1)Elevasi isap = 0 mdpl
2)Elevasi buang = 78 mdpl
D-34
3)Beda elevasi (z) = 78 m
4) Debit (Q) = 9,63 m3/menit = 0,161 m3/s
5) Panjang Pipa equivalen
Ball valve DN 200 = 75D = 15 m
Lima Buah elbow 400 DN 400 = 5 x 20D = 40 m
Gate Valve DN 200 = 40D = 8 m
Swing Valve DN 200 = 80D = 16 m
1. Head loss in pipe
a. Pipa HDPE 400/320 sepanjang 480 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 161)1 .85
1401 .85 0 , 324 .85x 480 m
= 4,67 m
b. Pipa HDPE 200/160 sepanjang 24 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 161)1 .85
1101.850 ,164 .85x 24 m
= 6,73 m
c. Rubber Hose DN 250 sepanjang 10 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
D-35
Hf =
10 , 666(0 , 161)1 .85
1101.850,24 .85x 10 m
= 1,09 m
2.Head Loss in accessories
a.Ball valve DN 200 Equivalent length = 15 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (Le)
Hf =
10 , 666(0 , 161)1 .85
1101.850,24 .85x 15 m
= 2,23 m
b. Lima Buah elbow 400 DN 400 Equivalent length = 40 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 161)1 .85
1101.850,44 .85x 40 m x 5
= 0,21 m
c. Gate Valve DN 200 Equivalent length = 8 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 161)1 .85
1101.850,24 .85x 8 m
= 1,19 m
d. Swing Valve DN 200 Equivalent length = 16 m
D-36
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 161)1 .85
1101.850,24 .85x 16 m
= 2,38 m
3. Pressure Head ( Pγ
¿
∆Hp = Hp1 – Hp2
Hp1 = 10,33
( 1 −0 ,0065 x H1
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 0
288)5 , 256
= 10,33 m
Hp2 = 10,33 ( 1 −
0 ,0065 x H2
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 78
288)5 , 256
= 10,234 m
∆Hp = Hp1 – Hp2
∆Hp = 10,33 – 10,234
= 0,096 m
4. Fitting on pipe
a. DN 200/160, f = 0,1
D-37
Hf = f
v12
2g x n
= 0,1
52
2x9,8 x 3 = 0,38 m
b. DN 400/320 , f = 0,1
Hf = f
v22
2g x n
= 0,1
2 ,012
2x9,8 x 48 = 0,99 m
5. Velocity Head (Hv)
Hv =
v22
2g
= (7,32) 2 2 x 9,8
= 2,74 m
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head (Hv)
= 78 m + (4,67 + 6,73 + 1,09 + 0,21 + 1,19 +
2,38 + 2,23) m + 0,096 m + 3,25 m
= 99.826 m
Daya Pompa
1. Daya Hidrolik (Hydrolic Horse Power)
HHP = Q x H 75
= 0,161 m 3 /s x 99.826 m x 1000 kg/m 3 75
D-38
= 214.293 Hp
2. Daya poros pompa (Break Horse Power)
BHP = HHP ηp
= 214.293 Hp 79 %
= 271.257 Hp
PERHITUNGAN KAPASITAS POMPA 385NS I SULZER PADA SERI
JALUR II MAIN SUMP UTARA
Menurut persamaan Bernouli, berdasarkan kondisi diatas maka total head pompa
dapat diketahui dengan :
P1γ1
+V12
2g+Z1+ H =P2
γ2+ V22
2g+Z2+ HL
Karena γ1 = γ2 , maka
H= P2 - P1γ
+ V22 - V12
2g+Z2 - Z1+ HL
D-39
H= ΔPγ
+ ΔV 2
2g+Hst+ HL
Htotal = Pγ
+ z + HL + Hv
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head
(Hv)
Data yang diketahui :
1)Elevasi isap = -70 mdpl
2)Elevasi buang = 0 mdpl
3)Beda elevasi (z) = 70 m
4) Debit (Q) = 9,61 m3/menit = 0,1602 m3/s
5) Panjang Pipa equivalen
Ball valve DN 200 = 75D = 15 m
Lima Buah elbow 400 DN 400 = 5 x 20D = 40 m
Gate Valve DN 200 = 40D = 8 m
Swing Valve DN 200 = 80D = 16 m
1. Head loss in pipe
a. Pipa HDPE 400/320 sepanjang 480 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 1602)1 .85
1401 .85 0 , 324 .85x 480 m
= 1,99 m
D-40
c. Pipa HDPE 200/160 sepanjang 24 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 1602)1 .85
1401 .85 0 , 164 .85x 24 m
= 6,7 m
d. Rubber Hose DN 250 sepanjang 10 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 1602)1 .85
1401 .85 0,24 .85x 10 m
= 0,18 m
2.Head Loss in accessories
a.Ball valve DN 200 Equivalent length = 15 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (Le)
Hf =
10 , 666(0 , 1602)1 .85
1101.850,24 .85x 15 m
= 2,22 m
b. Lima Buah elbow 400 DN 400 Equivalent length = 40 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 1602)1 .85
1101.850,44 .85x 40 m x 5
D-41
= 0,21 m
c. Gate Valve DN 200 Equivalent length = 8 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 1602)1 .85
1101.850,24 .85x 8 m
= 1,18 m
d. Swing Valve DN 200 Equivalent length = 16 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 1602)1 .85
1101.850,24 .85x 16 m
= 2,37 m
3. Pressure Head ( Pγ
¿
∆Hp = Hp1 – Hp2
Hp1 = 10,33
( 1 −0 ,0065 x H1
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 0
288)5 , 256
= 10,33 m
Hp2 = 10,33 ( 1 −
0 ,0065 x H2
288)5 , 256
D-42
= 10,33 ( 1 − 0 ,0065 x 78
288)5 , 256
= 10,234 m
∆Hp = Hp1 – Hp2
∆Hp = 10,33 – 10,234
= 0,096 m
4. Fitting on pipe
a. DN 200/160, f = 0,1
Hf = f
v12
2g x n
= 0,1
52
2x9,8 x 3 = 0,38 m
b. DN 400/320 , f = 0,1
Hf = f
v22
2g x n
= 0,1
2 ,012
2x9,8 x 48 = 0,99 m
5. Velocity Head (Hv)
Hv =
v22
2g
= (7,32) 2 2 x 9,8
= 2,74 m
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head (Hv)
= 78 m + (4,65 + 6,7 + 1,09 + 0,21 + 1,18 +
D-43
2,37 + 2,22) m + 0,096 m + 3,24 m
= 99.746 m
Daya Pompa
1. Daya Hidrolik (Hydrolic Horse Power)
HHP = Q x H 75
= 0,1602 m 3 /s x 99.746 m x 1000 kg/m 3 75
= 213.057 Hp
2. Daya poros pompa (Break Horse Power)
BHP = HHP ηp
= 213.057 Hp 79 %
= 269.693 Hp
PERHITUNGAN KAPASITAS POMPA 315NS II SULZER PADA SERI
JALUR III PETRUK
D-44
Menurut persamaan Bernouli, berdasarkan kondisi diatas maka total head pompa
dapat diketahui dengan :
P1γ1
+V12
2g+Z1+ H =P2
γ2+ V22
2g+Z2+ HL
Karena γ1 = γ2 , maka
H= P2 - P1γ
+ V22 - V12
2g+Z2 - Z1+ HL
H= ΔPγ
+ ΔV 2
2g+Hst+ HL
Htotal = Pγ
+ z + HL + Hv
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head
(Hv)
Data yang diketahui :
1)Elevasi isap = 0 mdpl
2)Elevasi buang = 78 mdpl
4)Beda elevasi (z) = 78 m
5) Debit (Q) = 8,72 m3/menit = 0,1453 m3/s
6) Panjang Pipa equivalen
Ball valve DN 200 = 75D = 15 m
Lima Buah elbow 400 DN 400 = 5 x 20D = 40 m
Gate Valve DN 200 = 40D = 8 m
Swing Valve DN 200 = 80D = 16 m
D-45
1. Head loss in pipe
a. Pipa HDPE 400/320 sepanjang 480 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,1453 )1 .85
1401 .85 0 ,324 .85x 480 m
= 3,38 m
c. Pipa HDPE 200/160 sepanjang 24 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 1453 )1 .85
1401 .85 0 , 164 .85x 24 m
= 5,6 m
d. Rubber Hose DN 250 sepanjang 10 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,1453 )1 .85
1401 .85 0,24 .85x 5 m
= 0,91 m
2.Head Loss in accessories
a.Ball valve DN 200 Equivalent length = 15 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (Le)
D-46
Hf =
10 ,666(0 ,1453 )1 .85
1101.850,24 .85x 15 m
= 1,85 m
b. Lima Buah elbow 400 DN 400 Equivalent length = 40 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 1453 )1 .85
1101.850,44 .85x 40 m x 5
= 0,17 m
c. Gate Valve DN 200 Equivalent length = 8 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,1453 )1 .85
1101.850,24 .85x 8 m
= 0,99 m
d. Swing Valve DN 200 Equivalent length = 16 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 1453 )1 .85
1101.850,24 .85x 16 m
= 1,98 m
3. Pressure Head ( Pγ
¿
∆Hp = Hp1 – Hp2
D-47
Hp1 = 10,33
( 1 −0 ,0065 x H1
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 0
288)5 , 256
= 10,33 m
Hp2 = 10,33 ( 1 −
0 ,0065 x H2
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 78
288)5 , 256
= 10,234 m
∆Hp = Hp1 – Hp2
∆Hp = 10,33 – 10,234
= 0,096 m
4. Fitting on pipe
a. DN 200/160, f = 0,1
Hf = f
v12
2g x n
= 0,1
52
2x9,8 x 3 = 0,38 m
b. DN 400/320 , f = 0,1
Hf = f
v22
2g x n
= 0,1
2 ,012
2x9,8 x 48 = 0,99 m
5. Velocity Head (Hv)
D-48
Hv =
v22
2g
= (7,32) 2 2 x 9,8
= 2,74 m
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head (Hv)
= 78 m + (3,88 + 5,6 + 0,91 + 0,17 + 0,99 +
1,98 + 1,85) m + 0,096 m + 2,66 m
= 96.146 m
Daya Pompa
1. Daya Hidrolik (Hydrolic Horse Power)
HHP = Q x H 75
= 0,1453 m 3 /s x 96.146 m x 1000 kg/m 3 75
= 186.267 Hp
2. Daya poros pompa (Break Horse Power)
BHP = HHP ηp
= 211,3 Hp 79 %
= 235.781 Hp
D-49
PERHITUNGAN KAPASITAS POMPA 355NS II SULZER PADA SERI
JALUR IV PETRUK
Menurut persamaan Bernouli, berdasarkan kondisi diatas maka total head pompa
dapat diketahui dengan :
P1γ1
+V12
2g+Z1+ H =P2
γ2+ V22
2g+Z2+ HL
Karena γ1 = γ2 , maka
H= P2 - P1γ
+ V22 - V12
2g+Z2 - Z1+ HL
H= ΔPγ
+ ΔV 2
2g+Hst+ HL
Htotal = Pγ
+ z + HL + Hv
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head
(Hv)
Data yang diketahui :
1)Elevasi isap = 0 mdpl
2)Elevasi buang = 78 mdpl
3)Beda elevasi (z) = 78 m
D-50
4) Debit (Q) = 9,42 m3/menit = 0,157 m3/s
5) Panjang Pipa equivalen
Ball valve DN 200 = 75D = 15 m
Lima Buah elbow 400 DN 400 = 5 x 20D = 40 m
Gate Valve DN 200 = 40D = 8 m
Swing Valve DN 200 = 80D = 16 m
1. Head loss in pipe
a. Pipa HDPE 400/320 sepanjang 480 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,157 )1.85
1401 .85 0 ,324 .85x 480 m
= 4,48 m
b. Pipa HDPE 200/160 sepanjang 40 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 157 )1.85
1101.850 ,164 .85x 40 m
= 10,77 m
c. Rubber Hose DN 250 sepanjang 10 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
D-51
Hf =
10 ,666(0 ,157 )1.85
1401 .85 0,24 .85x 5 m
= 1,05 m
2.Head Loss in accessories
a.Ball valve DN 200 Equivalent length = 15 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (Le)
Hf =
10 , 666(0 , 157 )1.85
1101.850,24 .85x 15 m
= 2,14 m
b. Lima Buah elbow 400 DN 400 Equivalent length = 40 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,157 )1.85
1101.850,44 .85x 40 m x 5
= 0,2 m
c. Gate Valve DN 200 Equivalent length = 8 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 157 )1.85
1101.850,24 .85x 8 m
= 1,14 m
d. Swing Valve DN 200 Equivalent length = 16 m
D-52
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,157 )1.85
1101.850,24 .85x 16 m
= 2,28 m
3. Pressure Head ( Pγ
¿
∆Hp = Hp1 – Hp2
Hp1 = 10,33
( 1 −0 ,0065 x H1
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 0
288)5 , 256
= 10,33 m
Hp2 = 10,33 ( 1 −
0 ,0065 x H2
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 78
288)5 , 256
= 10,234 m
∆Hp = Hp1 – Hp2
∆Hp = 10,33 – 10,234
= 0,096 m
4. Fitting on pipe
a. DN 200/160, f = 0,1
D-53
Hf = f
v12
2g x n
= 0,1
52
2x9,8 x 3 = 0,38 m
b. DN 400/320 , f = 0,1
Hf = f
v22
2g x n
= 0,1
2 ,012
2x9,8 x 48 = 0,99 m
5. Velocity Head (Hv)
Hv =
v22
2g
= (7,32) 2 2 x 9,8
= 2,74 m
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head (Hv)
= 78 m + (4,48 + 10,77 + 1,05 + 0,2 + 1,14 +
2,28 + 2,14) m + 0,096 m + 3,11 m
= 130.256 m
Daya Pompa
1. Daya Hidrolik (Hydrolic Horse Power)
HHP = Q x H 75
= 0,157 m 3 /s x 130.256 m x 1000 kg/m 3 75
= 272.669 Hp
D-54
2. Daya poros pompa (Break Horse Power)
BHP = HHP ηp
= 272.669 Hp 79 %
= 345.151 Hp
PERHITUNGAN KAPASITAS POMPA 385NS I SULZER PADA SERI
JALUR V PETRUK
Menurut persamaan Bernouli, berdasarkan kondisi diatas maka total head pompa
dapat diketahui dengan :
P1γ1
+V12
2g+Z1+ H =P2
γ2+ V22
2g+Z2+ HL
Karena γ1 = γ2 , maka
H= P2 - P1γ
+ V22 - V12
2g+Z2 - Z1+ HL
D-55
H= ΔPγ
+ ΔV 2
2g+Hst+ HL
Htotal = Pγ
+ z + HL + Hv
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head
(Hv)
Data yang diketahui :
1)Elevasi isap = 0 mdpl
2)Elevasi buang = 78 mdpl
3)Beda elevasi (z) = 78 m
4) Debit (Q) = 9,01 m3/menit = 0,15 m3/s
5) Panjang Pipa equivalen
Ball valve DN 200 = 75D = 15 m
Lima Buah elbow 400 DN 400 = 5 x 20D = 40 m
Gate Valve DN 200 = 40D = 8 m
Swing Valve DN 200 = 80D = 16 m
1. Head loss in pipe
a. Pipa HDPE 400/320 sepanjang 480 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 15 )1 .85
1401 .85 0 , 324 .85x 480 m
= 4,13 m
b. Pipa HDPE 200/160 sepanjang 24 m
D-56
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 , 150 )1 .85
1101.850 ,164 .85x 24 m
= 5,95 m
c. Rubber Hose DN 250 sepanjang 10 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 15 )1 .85
1401 .85 0,24 .85x 5 m
= 0,96 m
2.Head Loss in accessories
a.Ball valve DN 200 Equivalent length = 15 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (Le)
Hf =
10 ,666(0 ,15 )1 .85
1101.850,24 .85x 15 m
= 1,97 m
b. Lima Buah elbow 400 DN 400 Equivalent length = 40 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 15 )1 .85
1101.850,44 .85x 40 m x 5
= 0,18 m
D-57
c. Gate Valve DN 200 Equivalent length = 8 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,15 )1 .85
1101.850,24 .85x 8 m
= 1,05 m
d. Swing Valve DN 200 Equivalent length = 16 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 15 )1 .85
1101.850,24 .85x 16 m
= 2,1 m
3. Pressure Head ( Pγ
¿
∆Hp = Hp1 – Hp2
Hp1 = 10,33
( 1 −0 ,0065 x H1
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 0
288)5 , 256
= 10,33 m
Hp2 = 10,33 ( 1 −
0 ,0065 x H2
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 78
288)5 , 256
D-58
= 10,234 m
∆Hp = Hp1 – Hp2
∆Hp = 10,33 – 10,234
= 0,096 m
4. Fitting on pipe
a. DN 200/160, f = 0,1
Hf = f
v12
2g x n
= 0,1
52
2x9,8 x 3 = 0,38 m
b. DN 400/320 , f = 0,1
Hf = f
v22
2g x n
= 0,1
2 ,012
2x9,8 x 48 = 0,99 m
5. Velocity Head (Hv)
Hv =
v22
2g
= (7,32) 2 2 x 9,8
= 2,74 m
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head (Hv)
= 78 m + (4,13 + 5,95 + 0,96 + 0,18 + 1,05 +
2,1 + 1,97) m + 0,096 m + 2,84 m
= 97.286 m
D-59
Daya Pompa
1. Daya Hidrolik (Hydrolic Horse Power)
HHP = Q x H 75
= 0,15 m 3 /s x 97.286 mx 1000 kg/m 3 75
= 194.572 Hp
2. Daya poros pompa (Break Horse Power)
BHP = HHP ηp
= 194.572 Hp 79 %
= 246.294 Hp
PERHITUNGAN KAPASITAS POMPA 385NS I SULZER PADA SERI
JALUR VI PETRUK
D-60
Menurut persamaan Bernouli, berdasarkan kondisi diatas maka total head pompa
dapat diketahui dengan :
P1γ1
+V12
2g+Z1+ H =P2
γ2+ V22
2g+Z2+ HL
Karena γ1 = γ2 , maka
H= P2 - P1γ
+ V22 - V12
2g+Z2 - Z1+ HL
H= ΔPγ
+ ΔV 2
2g+Hst+ HL
Htotal = Pγ
+ z + HL + Hv
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head
(Hv)
Data yang diketahui :
1)Elevasi isap = 0 mdpl
2)Elevasi buang = 78 mdpl
3)Beda elevasi (z) = 78 m
5) Debit (Q) = 8,84 m3/menit = 0,147 m3/s
6) Panjang Pipa equivalen
Ball valve DN 200 = 75D = 15 m
Lima Buah elbow 400 DN 400 = 5 x 20D = 40 m
Gate Valve DN 200 = 40D = 8 m
Swing Valve DN 200 = 80D = 16 m
D-61
1. Head loss in pipe
a. Pipa HDPE 400/320 sepanjang 480 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,147 )1.85
1401 .85 0 ,324 .85x 480 m
= 3,98 m
b. Pipa HDPE 200/160 sepanjang 24 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 , 666(0 , 147 )1.85
1401 .85 0 , 164 .85x 24 m
= 5,74 m
c. Rubber Hose DN 250 sepanjang 10 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (L)
Hf =
10 ,666(0 ,147 )1.85
1401 .85 0,24 .85x 10 m
= 0,93 m
2.Head Loss in accessories
a.Ball valve DN 200 Equivalent length = 15 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x (Le)
D-62
Hf =
10 ,666(0 ,147 )1.85
1101.850,24 .85x 15 m
= 1,97 m
b. Lima Buah elbow 400 DN 400 Equivalent length = 40 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 147 )1.85
1101.850,44 .85x 40 m x 5
= 0,18 m
c. Gate Valve DN 200 Equivalent length = 8 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 ,666(0 ,147 )1.85
1101.850,24 .85x 8 m
= 1,05 m
d. Swing Valve DN 200 Equivalent length = 16 m
Hf =
10 , 666 Q1. 85
C1. 85 D4 . 85x ( Le)
Hf =
10 , 666(0 , 147 )1.85
1101.850,24 .85x 16 m
= 2,1 m
3. Pressure Head ( Pγ
¿
∆Hp = Hp1 – Hp2
D-63
Hp1 = 10,33
( 1 −0 ,0065 x H1
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 0
288)5 , 256
= 10,33 m
Hp2 = 10,33 ( 1 −
0 ,0065 x H2
288)5 , 256
= 10,33 ( 1 − 0 ,0065 x 78
288)5 , 256
= 10,234 m
∆Hp = Hp1 – Hp2
∆Hp = 10,33 – 10,234
= 0,096 m
4. Fitting on pipe
a. DN 200/160, f = 0,1
Hf = f
v12
2g x n
= 0,1
52
2x9,8 x 3 = 0,38 m
b. DN 400/320 , f = 0,1
Hf = f
v22
2g x n
= 0,1
2 ,012
2x9,8 x 48 = 0,99 m
5. Velocity Head (Hv)
D-64
Hv =
v22
2g
= (7,32) 2 2 x 9,8
= 2,74 m
Htotal = Static Head (z) + Dynamic Head (HL) + Pressure Head ( Pγ
¿ + Velocity Head (Hv)
= 78 m + (3,98 + 5,74 + 0,93 + 0,18 + 1,05 +
2,1 + 1,97) m + 0,096 m + 2,74 m
= 96.606 m
Daya Pompa
1. Daya Hidrolik (Hydrolic Horse Power)
HHP = Q x H 75
= 0,147 m 3 /s x 96.606 m x 1000 kg/m 3 75
= 189.348 Hp
2. Daya poros pompa (Break Horse Power)
BHP = HHP ηp
= 189.348 Hp 79 %
= 239.681 Hp