PIPA B PIPA E

Bukaan t (s) TrialManometer (cmHg)

BukaanHijau Hitam

1/8 5

1 1160 0.7 3.8

1/82 1160 0.6 3.33 1172 0.7 3.74 1180 0.8 3.2

Rata-rata 1168 0.7 3.5

3/8 5

1 1310 1.3 4

3/82 1312 1.1 3.43 1330 1.4 3.44 1328 1.5 4.1

Rata-rata 1320 1.325 3.725

5/8 5

1 1384 1.4 3.5

5/82 1390 1.3 4.13 1396 1.6 4.14 1390 1.7 3.5

Rata-rata 1390 1.5 3.8

7/8 5

1 1447 1.5 4.2

7/82 1444 1.8 3.53 1453 1.5 3.64 1454 1.6 4.3

Rata-rata 1449.5 1.6 3.9

Volume (ml)

t (s) TrialManometer (cmHg)

Kuning Biru Ungu Hitam

5

1 753 0.7 0.3 0.5 1.42 747 0.7 0.3 0.6 1.63 752 0.6 0.2 0.5 1.34 748 0.8 0.4 0.8 1.7

Rata-rata 750 0.7 0.3 0.6 1.5

5

1 817 0.8 0.3 0.5 1.42 819 0.8 0.7 0.6 1.43 823 0.7 0.4 0.8 24 821 0.9 0.6 0.5 2

Rata-rata 820 0.8 0.5 0.6 1.7

5

1 875 1.2 0.5 0.8 22 810 1.1 0.5 0.8 2.13 885 0.8 0.6 0.9 1.64 870 0.9 0.8 0.7 1.5

Rata-rata 860 1 0.6 0.8 1.8

5

1 915 1.4 0.7 1 2.22 885 1.3 0.7 0.9 2.33 905 1 0.6 0.7 1.74 895 1.1 0.8 1 1.8

Rata-rata 900 1.2 0.7 0.9 2

Volume (ml)

1. Menghitung ∆P/ρ

BukaanManometer (cmHg)

Hijau Hitam 1/8 0.7 3.5 3/8 1.325 3.725 5/8 1.5 3.8 7/8 1.6 3.9

Rata-rata 1.28125 3.73125

dikalikan 13.6

Bukaan

Hijau Hitam 1/8 9.52 47.6 28.56 1 3/8 18.02 50.66 34.34 1 5/8 20.4 51.68 36.04 1 7/8 21.76 53.04 37.4 1

Rata-rata 17.425 50.745 34.085 1

Ukura pipa D pipa (in) D pipa (cm3) Luas (cm2)1" sch 40 1,049 2.664 5.5711

lalu cmHg dikonversikan ke grf/cm2

Manometer (grf/cm2)∆P (grf/cm2) ρ (gr/cm3)

1. Menghitung ∆P/ρ 2. Menghitung ∆Ep

Bukaan Z2 (cm) Z1 (cm) ∆Z (cm)

1/8 149 61 88 3/8 149 61 88 5/8 149 61 88 7/8 149 61 88

4. Menghitung Head Loss, Hf teori

∆P/ρBukaan Gesekan k f = 16/Nre

1/8Pipa Lurus 1" sch 40 0.00015 0.00127624

28.56 Elbow 90° ( 1" ) 0.75 -34.34 Gate Valve ( 1" ) 0.17 -36.04

3/8Pipa Lurus 1" sch 40 0.00015 0.00112928

37.4 Elbow 90° ( 1" ) 0.75 -34.085 Gate Valve ( 1" ) 0.17 -

5/8Pipa Lurus 1" sch 40 0.00015 0.00107241Elbow 90° ( 1" ) 0.75 -Gate Valve ( 1" ) 0.17 -

7/8Pipa Lurus 1" sch 40 0.00015 0.00102839Elbow 90° ( 1" ) 0.75 -Gate Valve ( 1" ) 0.17 -

2. Menghitung ∆Ep 3. Menghitung Ek

g/gc (grf/gr ) Bukaan Volume (ml) t (detik) Q (cm3/s)

1 88 1/8 1168 5 233.61 88 3/8 1320 5 2641 88 5/8 1390 5 2781 88 7/8 1449.5 5 289.9

4. Menghitung Head Loss, Hf teori

∆L (cm) v (cm/s) gc (cm/s^2) α D (cm) ∑ft hf teori (cm gf/gr)

831

41.930678980 1 2.664 1 1399.8843

- 980 1 - 8 5.3822

- 980 1 - 1 0.1525831

47.38741980 1 2.664 1 1582.0610

- 980 1 - 8 6.8742

- 980 1 - 1 0.1948831

49.9003787980 1 2.664 1 1665.9582

- 980 1 - 8 7.6226

- 980 1 - 1 0.2160831

52.0364021980 1 2.664 1 1737.2708

- 980 1 - 8 8.2891 - 980 1 - 1 0.2349

Ep = ∆Z (g/gc)

3. Menghitung Ek

A (cm2) v (cm/s) D (cm) ρ (gr/cm3) µ (gr/cm.s) NRe

5.5711 41.930678 2.664 1 0.00891 12536.84925.5711 47.38741 2.664 1 0.00891 14168.35695.5711 49.9003787 2.664 1 0.00891 14919.70925.5711 52.0364021 2.664 1 0.00891 15558.3586

4. Menghitung Head Loss, Hf teori 5. Menghitung Wp teori

∑ hf teori Bukaan ∆P/ρ ∆Ek ∆Ep

1405.4190 1/8 28.56 0.8970 88 3/8 34.34 1.1457 88 5/8 36.04 1.2704 88

1589.1300 7/8 37.4 1.3815 88

1673.79686. Menghitung Hf dengan eff 70%

Bukaan ∆P/ρ ∆Ek ∆Ep 1/8 28.56 0.8970 88

1745.7948 3/8 34.34 1.1457 88 5/8 36.04 1.2704 88 7/8 37.4 1.3815 88

1/8 3/8 5/8 7/80

50

100

150

200

250

300

350

233.6

264

278

289.9

Bukaan Valve Vs Q

Bukaan Valve

Q (cm3/s)

3. Menghitung Ek

α gc (cm/s^2) ∆Ek (cm.gf/gr)

1 980 0.89701 980 1.14571 980 1.27041 980 1.3815

5. Menghitung Wp teori

hf (cm gf/gr) (-) Wp percobaan v (cm/s) A (cm^2) ρ (gr/cm3)

1405.4190 1522.8760 41.9307 5.5711 11589.1300 1712.6157 47.3874 5.5711 11673.7968 1799.1072 49.9004 5.5711 11745.7948 1872.5764 52.0364 5.5711 1

6. Menghitung Hf dengan eff 70%Effisiensi Power percobaan (gr/s)ṁ

462721.520

0.65

711879.261654628

233.6 3047.428350.65 264 2696.512350.65 278 2560.716770.65 289.9 2455.60283

Power pompa (cm grf/s)

Wp percobaan

1/8 3/8 5/8 7/80

50

100

150

200

250

300

350

233.6

264

278

289.9

Bukaan Valve Vs Q

Bukaan Valve

Q (cm3/s)

1/8 3/8 5/8 7/8900

1600

2300

30002929.9713

2573.02672435.4063 2328.8213

1405.4190

1589.13001447.8481 1515.8312

Bukaan Valve vs Hf

Bukaan Valve Vs Hf Teori Bukaan Valve Vs Hf Percobaan

Bukaan Valve

Hf

220 240 260 280 3001200

1700

2200

2700

32002929.9713

2573.0267

2435.40632328.8213

1405.41901589.1300

1447.84811515.8312

Q vs Hf

Q Vs Hf Teori Q Vs Hf Percobaan

Q (cm3/s)

Hf

220 240 260 280 3001200

1700

2200

2700

32002929.9713

2573.0267

2435.40632328.8213

1405.41901589.1300

1447.84811515.8312

Q vs Hf

Q Vs Hf Teori Q Vs Hf Percobaan

Q (cm3/s)

Hf

5. Menghitung Wp teori

(gr/s)ṁ Power pompa (HP)

233.6 355743.8423672

266.375 0.000035030264 452130.544209278 500151.8089959

289.9 542859.8847299

6. Menghitung Hf dengan eff 70%∑ hf percobaan

2929.97132573.02672435.40632328.8213

bukaan 1/8 3/8 5/8 7/8

Power pompa (cm grf/s)

Power rata -rata (cm grf/s)

1/8 3/8 5/8 7/8900

1600

2300

30002929.9713

2573.02672435.4063 2328.8213

1405.4190

1589.13001447.8481 1515.8312

Bukaan Valve vs Hf

Bukaan Valve Vs Hf Teori Bukaan Valve Vs Hf Percobaan

Bukaan Valve

Hf

220 240 260 280 3001200

1700

2200

2700

32002929.9713

2573.0267

2435.40632328.8213

1405.41901589.1300

1447.84811515.8312

Q vs Hf

Q Vs Hf Teori Q Vs Hf Percobaan

Q (cm3/s)

Hf

220 240 260 280 3001200

1700

2200

2700

32002929.9713

2573.0267

2435.40632328.8213

1405.41901589.1300

1447.84811515.8312

Q vs Hf

Q Vs Hf Teori Q Vs Hf Percobaan

Q (cm3/s)

Hf

0.1525

Hf percobaan Hf teoritis debit2929.9713 1405.4190 233.62573.0267 1589.1300 2642435.4063 1447.8481 2782328.8213 1515.8312 289.9

1. Menghitung ∆P/ρ

BukaanManometer (cmHg)

Kuning Biru Ungu Hitam

1/8 0.7 0.3 0.6 1.5 3/8 0.8 0.5 0.6 1.7 5/8 1 0.6 0.8 1.8 7/8 1.2 0.7 0.9 2

Rata-rata 0.925 0.525 0.725 1.75

BukaanKuning Biru Ungu Hitam

1/8 9.52 4.08 8.16 20.4 3/8 10.88 6.8 8.16 23.12 5/8 13.6 8.16 10.88 24.48 7/8 16.32 9.52 12.24 27.2

Rata-rata 12.58 7.14 9.86 23.8

Ukura pipa D pipa (in) D pipa (cm3) Luas (cm2)0,5" sch 40 0.622 1.580 1.95971" sch 40 1.049 2.664 5.5711

2. Menghitung ∆Ep

Bukaan Z2 (cm) Z1 (cm) ∆Z (cm) g/gc (grf/gr )

1/8 84 28 56 1 3/8 84 28 56 1 5/8 84 28 56 1 7/8 84 28 56 1

3. Menghitung Ek

Bukaan Volume (ml) t (detik) Q (cm3/s) A (cm2)

1/8 750 5 150 1.959 3/8 820 5 164 1.959 5/8 860 5 172 1.959 7/8 900 5 180 1.959

Manometer (grf/cm2)

1. Menghitung ∆P/ρ

dikalikan 13.6

∆P/ρ

10.54 1 10.5412.24 1 12.2414.28 1 14.2816.32 1 16.3213.345 1 13.345

2. Menghitung ∆Ep

Ep = ∆Z (g/gc)

56565656

3. Menghitung Ek

v (cm/s) D (cm) ρ (gr/cm3) µ (gr/cm.s) NRe

76.5696784074 1.58 1 0.00891 13578.012683.7161817254 1.58 1 0.00891 14845.293787.7998979071 1.58 1 0.00891 15569.454491.8836140888 1.58 1 0.00891 16293.6151

cmHg dikonversikan ke grf/cm2

∆P (grf/cm2) ρ (gr/cm3)

4. Menghitung Head Loss, Hf teori

Bukaan

1/8

3/8

5/8

7/8

3. Menghitung Ek

α gc (cm/s^2)

1 980 2.99131 980 3.57571 980 3.93311 980 4.3074

∆Ek (cm.gf/gr)

4. Menghitung Head Loss, Hf teori

Gesekan k f = 16/Nre ∆L (cm) v (cm/s) gc (cm/s^2)

Pipa Lurus 1" sch 40 0.00015 0.00117838 433

76.56967841

980Pipa Lurus 0,5" sch 40 0.00015 0.00117838 723 980Elbow 90° ( 1" ) 0.75 - - 980Elbow 90° ( 0,5" ) 0.75 - - 980Kontraksi 1" - 0,5" 0.357 - - 980Gate Valve ( 0,5" ) ¼ 24 - - 980Long Bend ( 0,5" ) 1.5 - - 980

Elbow 45° ( 0,5 ) 0.35 - - 980

Ekspansi ( 1" - 0,5" ) 0.420 - - 980Pipa Lurus 1" sch 40 0.00015 0.00107778 433

83.71618173

980Pipa Lurus 0,5" sch 40 0.00015 0.00107778 723 980Elbow 90° ( 1" ) 0.75 - - 980Elbow 90° ( 0,5" ) 0.75 - - 980Kontraksi 1" - 0,5" 0.357 - - 980Gate Valve ( 0,5" ) ½ 5.6 - - 980Long Bend ( 0,5" ) 1.5 - - 980Elbow 45° ( 0,5 ) 0.35 - - 980Ekspansi ( 1" - 0,5" ) 0.420 - - 980Pipa Lurus 1" sch 40 0.00015 0.00102765 433

87.79989791

980Pipa Lurus 0,5" sch 40 0.00015 0.00102765 723 980Elbow 90° ( 1" ) 0.75 - - 980Elbow 90° ( 0,5" ) 0.75 - - 980Kontraksi 1" - 0,5" 0.357 - - 980Gate Valve ( 0,5" ) 3/4 1.15 - - 980Long Bend ( 0,5" ) 1.5 - - 980Elbow 45° ( 0,5 ) 0.35 - - 980Ekspansi ( 1" - 0,5" ) 0.420 - - 980Pipa Lurus 1" sch 40 0.00015 0.00098198 433

91.88361409

980Pipa Lurus 0,5" sch 40 0.00015 0.00098198 723 980Elbow 90° ( 1" ) 0.75 - - 980Elbow 90° ( 0,5" ) 0.75 - - 980Kontraksi 1" - 0,5" 0.357 - - 980Gate Valve ( 0,5" ) 1 1.5 - - 980Long Bend ( 0,5" ) 1.5 - - 980Elbow 45° ( 0,5 ) 0.35 - - 980Ekspansi ( 1" - 0,5" ) 0.420 - - 980

4. Menghitung Head Loss, Hf teori 5. Menghitung Wp teori

α D (cm) ∑ hf teori (cm gf/gr) ∑ hf teoriBukaan

1/8

1 2.664 1 2.2917

129.4391

3/81 1.58 1 3.8265 5/81 - 9 20.1912 7/81 - 8 17.94771 - 1 1.06651 - 1 71.79081 - 2 8.9739

1 - 2 2.09391 - 1 1.25701 2.664 1 2.5056

88.3112

1 1.58 1 4.18371 - 9 24.13611 - 8 21.45431 - 1 1.27491 - 1 20.02401 - 2 10.72711 - 2 2.50301 - 1 1.50261 2.664 1 2.6278

79.2926

1 1.58 1 4.38781 - 9 26.54821 - 8 23.59841 - 1 1.40231 - 1 4.52301 - 2 11.79921 - 2 2.75321 - 1 1.65271 2.664 1 2.7500

88.0064

1 1.58 1 4.59181 - 9 29.07531 - 8 25.84471 - 1 1.53571 - 1 6.46121 - 2 12.92231 - 2 3.01521 - 1 1.8101

1/8 3/8 5/8 7/8130

140

150

160

170

180

190

150

164

172

180

Bukaan Valve Vs Q

Bukaan Valve

Q (cm3/s)

1/8 3/8 5/8 7/870

100

130

160

190

196.5502

171.3299158.8475

147.0837

129.2856

88.143479.1166

87.8222

Bukaan Valve vs Hf

Bukaan Valve Vs Hf Teori Bukaan Valve Vs Hf Percobaan

Bukaan Valve

Hf

5. Menghitung Wp teori∆P/ρ ∆Ek ∆Ep hf (cm gf/gr) v (cm/s) A (cm^2)

10.54 2.9913 56 129.4391 198.9704 76.5697 1.959

12.24 3.5757 56 88.3112 160.1269 83.7162 1.95914.28 3.9331 56 79.2926 153.5057 87.7999 1.95916.32 4.3074 56 88.0064 164.6338 91.8836 1.959

(-) Wp percobaan

1/8 3/8 5/8 7/8130

140

150

160

170

180

190

150

164

172

180

Bukaan Valve Vs Q

Bukaan Valve

Q (cm3/s)

1/8 3/8 5/8 7/870

100

130

160

190

196.5502

171.3299158.8475

147.0837

129.2856

88.143479.1166

87.8222

Bukaan Valve vs Hf

Bukaan Valve Vs Hf Teori Bukaan Valve Vs Hf Percobaan

Bukaan Valve

Hf

5. Menghitung Wp teoriρ (gr/cm3) (gr/s)ṁ Power pompa (hp)

1 150 29845.5589518718

166.5 0.0000218961 164 26260.80905706381 172 26402.98244598551 180 29634.0854993556

Bukaan Hf Teori Hf Percobaan debit 1/8 129.2856 196.5502 150

3/8 88.1434 171.3299 164 5/8 79.1166 158.8475 172 7/8 87.8222 147.0837 180

Power pompa (cm grf/s)

Power rata -rata (cm

grf/s)

145 150 155 160 165 170 175 180 18560

85

110

135

160

185

196.5502

171.3299158.8475

147.0837

129.2856

88.1434 79.116687.8222

Q vs Hf

Q Vs Hf Teori Q Vs Hf Percobaan

Q (cm3/s)

Hf

6. Menghitung Hf dengan eff 65%Bukaan ∆P/ρ ∆Ek ∆Ep Power pompa (cm grf/s)

1/8 2.1 0.8970 88

28035.859 3/8 2.525 1.1457 88 5/8 2.65 1.2704 88 7/8 2.75 1.7891 88

0.000021896

145 150 155 160 165 170 175 180 18560

85

110

135

160

185

196.5502

171.3299158.8475

147.0837

129.2856

88.1434 79.116687.8222

Q vs Hf

Q Vs Hf Teori Q Vs Hf Percobaan

Q (cm3/s)

Hf

6. Menghitung Hf dengan eff 65%Effisiensi Power percobaan (gr/s)ṁ ∑ hf percobaan

0.65

43132.0907516449

150 287.547272 196.55020.65 164 263.000553 171.32990.65 172 250.767969 158.84750.65 180 239.622726 147.0837

Wp percobaan