Perancangan Sistem Ditribusi Air Bersih Menggunakan Metode Hardy Cross Pada Perumahan Inalum Power Plant Paritohan

(1)

(2)

ITERASI 2

Ditentukan Diketahui Diketahui Ditaksir

Rumus

(3)

Loop 3

Rumus

(4)

Loop 5

Rumus

Empiris hf x l

(5)

Loop 8

Pipa

Panjang (l)

Diameter (d)

Laju Aliran

(Q₀) Unit head Loss

Head Loss

(hl) hl/Q

no (m) (m) (m³/s) Hf (m)

Ditentukan Diketahui Diketahui Ditaksir Rumus Empiris hf x l

23 181 0.0762 -0.0008 0.00055 -0.0995 117.6388 24 215 0.0762 0.0010 0.00073 0.1561 158.7898 25 190 0.0762 -0.0010 0.00077 -0.1469 144.4654 26 116 0.0762 0.0010 0.00073 0.0842 85.6726

-0.0061 506.5666

Koreksi Iterasi 2

Loop

∑

hl

∑

hl/Q

ΔQ

(6)

Koreksi Kapasitas pada tiap Loop

Loop 1

Pipa Laju Aliran (Q₀) m³/s

Koreksi Kapasitas

(∆Q) Laju Aliran (Q) m³/s

no mula-mula m³/s akhir

1 0.007 -0.00036239

0.0066

2 -0.005 -0.00036239

-0.0054

3 -0.003 -0.00042579

-0.0034

4 0.007 -0.00036239

0.0066

Loop 2

3 0.003 _0.00042579

_0.0034

9 0.003 0.00050846

0.0035

10 0.003 0.00050846

0.0035

11 -0.002 0.0000634

-0.0019

12 -0.002 0.0000634

-0.0019

Loop 3

13 -0.001 -0.00003129

-0.0010

(7)

Loop 4

8 0.004 -0.000372050

_0.0036

9 -0.003 -0.000508460

_-0.0035

10 -0.003 -0.000508460

_-0.0035

15 -0.002 -0.000413770

_-0.0024

17 0.002 -0.000359670

_0.0016

Loop 5

5 0.002

-0.00007301

0.0019

6 0.002

-0.00007301

0.0019

7 0.002

-0.00007301

0.0019

(8)

Loop 6

17 -0.002

0.00035967

-0.0016

18 0.003

-0.00008539

0.0029

19 0.0012

0.00012976

0.0013

20 -0.001

-0.00008539

-0.0011

Loop 7

19 -0.0012

-0.00012976

-0.0013

21 -0.0012

-0.00021515

-0.0014

22 0.0018

-0.00021515

0.0016

23 0.0008

-0.0002217

0.0006

Loop 8

23 -0.0008

0.0002217

-0.0006

24 0.001

0.00000655

0.0010

25 -0.001

0.00000655

-0.0010

(9)

ITERASI 3

Rumus

(10)

Loop 3

Rumus

(11)

Loop 5

Rumus

(12)

Loop 8

Pipa

Panjang (l)

Laju Aliran

Head Loss

(hl) hl/Q

no (m) (m) (m³/s) Hf (m)

23 181 0.0762 -0.0006 0.00027 -0.0493 85.1648 24 215 0.0762 0.0010 0.00076 0.1631 162.0316 25 190 0.0762 -0.0010 0.00074 -0.1407 141.6051 26 116 0.0762 0.0010 0.00076 0.0880 87.4217

0.0612 476.2231

Koreksi Iterasi 3

Loop

∑

hl

∑

hl/Q

ΔQ

(13)

Koreksi Kapasitas pada tiap Loop

Loop 1

1 0.007 0.00097367

0.0080

2 -0.005 0.00097367

-0.0040

3 -0.003 0.00187609

-0.0011

4 0.007 0.00097367

0.0080

Loop 2

3 0.003 _-0.00187609

_0.0011

9 0.003 -0.00114421

0.0019

10 0.003 -0.00114421

0.0019

11 -0.002 -0.00090242

-0.0029

12 -0.002 -0.00090242

-0.0029

Loop 3

13 -0.001 0.00013965

-0.0009

14 -0.001 0.00013965

-0.0009

15 0.002 -0.00010214

0.0019

(14)

Loop 4

8 0.004 0.000674170

_0.0047

9 -0.003 0.001144210

_-0.0019

10 -0.003 0.001144210

_-0.0019

15 -0.002 0.000102140

_-0.0019

17 0.002 0.001030790

_0.0030

Loop 5

5 0.002

-0.00043238

0.0016

6 0.002

-0.00043238

0.0016

7 0.002

-0.00043238

0.0016

8 -0.004

-0.00067417

-0.0047

Loop 6

(15)

Loop 7

19 -0.0012

0.00100773

-0.0002

21 -0.0012

0.00021873

-0.0010

22 0.0018

0.00021873

0.0020

23 0.0008

0.00028815

0.0011

Loop 8

23 -0.0008

-0.00028815

-0.0011

24 0.001

-0.00006942

0.0009

25 -0.001

-0.00006942

-0.0011

(16)

ITERASI 4

Rumus

(17)

Loop 3

Rumus

(18)

Loop 5

Rumus

Empiris hf x l

(19)

Lloop 8

Pipa

Panjang (l)

Laju Aliran

Head Loss

(hl) hl/Q

no (m) (m) (m³/s) Hf (m)

23 181 0.0762 -0.0011 0.00088 -0.1586 145.7522 24 215 0.0762 0.0009 0.00066 0.1411 151.5759 25 190 0.0762 -0.0011 0.00085 -0.1612 150.7581 26 116 0.0762 0.0009 0.00066 0.0761 81.7805

-0.1027 529.8668

Koreksi Iterasi 4

Loop

∑

hl

∑

hl/Q

ΔQ

(20)

Koreksi Kapasitas pada tiap Loop

Loop 1

1 0.007 -0.00098442

0.0060

2 -0.005 -0.00098442

-0.0060

3 -0.003 -0.00153866

-0.0045

4 0.007 -0.00098442

0.0060

Loop 2

3 0.003 _0.00153866

_0.0045

9 0.003 0.00153993

0.0045

10 0.003 0.00153993

0.0045

11 -0.002 0.00055424

-0.0014

12 -0.002 0.00055424

-0.0014

Loop 3

13 -0.001 0.00014343

-0.0009

(21)

Loop 4

8 0.004 -0.001060750

_0.0029

9 -0.003 -0.001539930

_-0.0045

10 -0.003 -0.001539930

_-0.0045

15 -0.002 -0.001129120

_-0.0031

17 0.002 -0.001027320

_0.0010

Loop 5

5 0.002

0.00007506

0.0021

6 0.002

0.00007506

0.0021

7 0.002

0.00007506

0.0021

8 -0.004

0.00106075

-0.0029

Loop 6

17 -0.002

0.00102732

-0.0010

18 0.003

0.00004163

0.0030

19 0.0012

0.0004719

0.0017

(22)

Loop 7

19 -0.0012

-0.0004719

-0.0017

21 -0.0012

-0.00043027

-0.0016

22 0.0018

-0.00043027

0.0014

23 0.0008

-0.00053501

0.0003

Loop 8

23 -0.0008

0.00053501

-0.0003

24 0.001

0.00010474

0.0011

25 -0.001

0.00010474

-0.0009

(23)

ITERASI 5

Rumus

(24)

Loop 3

(25)

Loop 5

Rumus

(26)

Loop7

(27)

Koreksi Iterasi 4

Loop

∑

hl

∑

hl/Q

ΔQ

1 -0.5387 168.7561 0.00172563 2 1.2364 396.3045 -0.00168644 3 0.0916 280.3601 -0.00017668 4 -0.7620 388.6638 0.00105982 5 0.6221 501.7399 -0.00067018 6 0.4727 409.9927 -0.00062327 7 -0.4129 445.2508 0.00050125 8 0.1706 443.4792 -0.00020794

Koreksi Kapasitas pada tiap Loop

Loop 1

1 0.007 0.00172563

0.0087

2 -0.005 0.00172563

-0.0033

3 -0.003 0.00341207

0.0004

(28)

Loop 2

3 0.003 _-0.00341207

_-0.0004

9 0.003 -0.00274626

0.0003

10 0.003 -0.00274626

0.0003

11 -0.002 -0.00168644

-0.0037

12 -0.002 -0.00168644

-0.0037

Loop 3

13 -0.001 -0.00017668

-0.0012

14 -0.001 -0.00017668

-0.0012

15 0.002 -0.0012365

0.0008

16 -0.001 -0.00017668

-0.0012

Loop 4

8 0.004 0.001730000

_0.0057

9 -0.003 0.002746260

_-0.0003

(29)

Loop 5

5 0.002

-0.00067018

0.0013

6 0.002

-0.00067018

0.0013

7 0.002

-0.00067018

0.0013

8 -0.004

-0.00173

-0.0057

Loop 6

17 -0.002 -0.00168309

-0.0037

18 0.003 -0.00062327

0.0024

19 0.0012 -0.00112452

0.0001

20 -0.001 -0.00062327

-0.0016

Loop 7

19 -0.0012

0.00151043

0.0003

21 -0.0012

0.00050125

-0.0007

22 0.0018

0.00050125

0.0023

(30)

Loop 8

23 -0.0008

-0.00070919

-0.0015

24 0.001

-0.00020794

0.0008

25 -0.001

-0.00020794

-0.0012

(31)