10_aliran melalui sistem pipa [compatibility mode]
TRANSCRIPT
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
1/21
1
Aliran Melalui Sistem PipaAliran Melalui Sistem PipaAliran Melalui Sistem PipaAliran Melalui Sistem PipaD . E . A
2222
Pendahuluan
D
. : , .
.
.A
. : , A.
3333
Konservasi Energi
γ
γ
G
G
G
γ γ
+ + = + + + +∑ ∑
L L
4444
#1
A
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
2/21
2
5555
#2
( )
D :
:
,
π = = =
π =
π
= −
6666
#3
D :
( . / )
( ) ( )
γ
γ
=
=
7777
#1
A B
A B
γ
γ
G
G
8888
#2
D
B .
: Σ D
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
3/21
3
9999
#3
D :
/
γ η
γ η
η
=
=
=
10101010
E & ..#1
A
11111111
E & ..#2
A
12121212
E & ..#3
A
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
4/21
4
13131313
E & ..#3
A
14141414
H # 1
,
.
15151515
H # 2
= 1= 2 = 3 = .
E
H = 1 + 2 + 3 + .
D :
....
= + + + + + +
∑ ∑ ∑
16161616
H # 3
A
1
2
3
1
2
A
B
G
G
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
5/21
5
17171717
H # 4
D B :
:
:
++=
++=
. . . . . .
π π π = = =
++=
..
π ( )
18181818
E
D D
,
( ) ( )
=
..
π ( )
++=
19191919
E
D A
.
.
π
π
=+ +
=
20202020
C H AL 1 ..
, ,
, , ,
Δ ,
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
6/21
6
21212121
.. C H AL 1
, ,
22222222
C H AL 1 ..
E :
( )
. . . . ( , ) ( . ) ( . ) ( . )
..
.
. /
π
∆ = + +
× × ×⇔ = + + ×
⇔ =
⇔ =⇔ =
23232323
H # 1
1, 2 3 / A B.
24242424
H # 2
D :
:
( )
π
= + +
= + +
= = =
= = =
( )
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
7/21
7
25252525
H # 3
D :
D D :
.
.
.
π
π
π
=
=
=
.
π =
( )
( )26262626
H # 4
.( ) ( ) ( ) :
. . . .
= + +
27272727
C H AL 2 . # 1
A A B 1, 2, 3. A. B
60 A. D 300 /
28282828
C H AL 2 . # 2
:
1. 1
2. D (75%)
3. D
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
8/21
8
29292929
C H AL 2 # 1
:
( 2 & 3)
30303030
C H AL 2 # 2
) : ( 2 & 3) 1:
D = 1 D = D 1, :
31313131
C H AL 2 # 3
) :
) H D :
K :
32323232
C H AL 2 # 4
) H D :
:
D :
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
9/21
9
33333333
C H AL 2 # 5
) D 2 3:
2 & 3 , = 300 / .
K :
34343434
C H AL 2 # 6
D 2:
35353535
C H AL 2 # 6
D 3:
36363636
B
D /
/ .
B :
: , ,
: ,
: ?
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
10/21
10
37373737
D
I:
( )
II: ,
III: ,
38383838
B : 3 #1
A
B
39393939
B : 3 # 2
I D G E G :
G E (EG ) G (HG ) :
EG B HG
γ
γ
= + +
= +
40404040
B : 3 # 3
, :
1. , /
( ) .
2. H ( ) 1,2, 3 .
3. H 1, 2, 3 .
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
11/21
11
41414141
B : 3 # 4
4. ( 1 ≠ 2 + 3),
( ) ( 1 > 2 + 3,
).
5. 2 ,
( ) ( )
42424242
B : 3 # 5
A :
43434343
B : 3 # 6
D A , A, B ( , , D) ,
.
44444444
C H AL 3 # 1
A
B
+196.7
+190.0
+162.6
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
12/21
12
45454545
C H AL 3 # 2
D :
1 = 2440 , D 1 = 610
2 = 1200 , D 2 = 406
3 = 1220 , D 3 = 305
= 0.029
H .
46464646
C H AL 3 # 1
A B C:
A = A D
= 196.7 162.6 = 34.1
B = B D
= 190.0 162.6 = 27.4
.
47474747
C H AL 3 # 2
=π
⇒ =
⇒ =
. .
. ( . ) ( . )
. .
. ( . ) ( . )
. .
. ( . ) ( . )
× ×= =× ×
× ×= =× ×
× ×= =× ×
48484848
C H AL 3 # 2
1:
D B
B (2 = 0)
2: =
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
13/21
13
49494949
C H AL 3 # 3
3:
. .
. /
=
⇔ =
⇔ =
. = =
50505050
C H AL 3 # 4
1:
. .
. /
=⇔ =⇔ =
. . . = − = − =
51515151
C H AL 3 # 5
C :
( ) . ( . )
. /
− + = − +
=
A ,
52525252
C H AL 3 # 5
2:
E +193.0( )
:
1 = 196.7 193.0 = 3.7
2 = 193.0 190.0 = 3.0
3 = 193.0 162.6 = 30.4
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
14/21
14
53535353
C H AL 3 # 6
D 1: 1 = 3.7
D 2: 2 = 3.0
. .
. /
=⇔ =⇔ =
. .
. /
=⇔ =⇔ =
54545454
C H AL 3 # 8
D 3: 3 = 30.4
. .
. /
=⇔ =⇔ =
55555555
C H AL 3 # 9
C :
( ) . ( . . )
. /
− + = − += −
A
56565656
C H AL 3 # 10
3: 1 2
0.0417
E
ΣΣΣΣ0.1537
+190.0
+193.0
= ?
E = +190.0 +
. ( )
. ( . )
.
= −− −
=
.
.
= += +
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
15/21
15
57575757
C H AL 3 # 11
3:
E +192.3598 (D 1 & 2)
:
1 = 196.7 192.3598 = 4.3402
2 = 192.3598 190.0 = 2.3598
3 = 192.3598 162.6 = 29.7598
58585858
C H AL 3 # 12
D 1: 1 = 4.3402
D 2: 2 = 2.3598
. .
. /
=⇔ =⇔ =
. .
. /
=⇔ =⇔ =
59595959
C H AL 3 # 14
D 3: 3 = 29.7598
. .
. /
=⇔ =⇔ =
60606060
C H AL 3 # 15
C :
( ) . ( . . )
. /
− + = − += −
A
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
16/21
16
61616161
H E 2
1, 2, 3,
H D 2 1, 2, 3,
CK
A
H
2
C
B K G ,
G F F
62626262
F F .
= =
).
./
(
+−=
/ . .
ν= − +
C :
. D :
= υ
63636363
J
C : D A.
D :
H C
H HC
64646464
J
H K E
K :
D A = D AK ΣΣΣΣ = 0
J K = 0 ΣΣΣΣ = 0
= =
π
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
17/21
17
J
65656565
=
π
= 1 = 4
= 5
= 4 = 2
= 3
100
25
25
50 66666666
K E K G( L )
K E K G :
= : D , = 2 ;H , = 1,85
= &K
D D:
=
=
=
π
67676767
H C #1
:
1. 2 0 K .
2. H K
: = 2
3. J .
4. H ΣΣΣΣ , ΣΣΣΣ = 0
68686868
H C #2
.. ( ):
5. H ΣΣΣΣ 2 2 .
6. :
(A)
7. D = 0 + ∆∆∆∆ , 1 6 ∆∆∆∆ = 0
∆ = − ∑∑
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
18/21
18
69696969
H C #2
(A) :
1. K :
2. ∆∆∆∆
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
19/21
19
73737373
H C #2
K E :
L K :
= 02 2 0
1 60 2 = 3600 2 1 60 = 120
4 10 2 = 400 2 4 10 = 80
3 40 2 = 4800 2 3 40 = 240
ΣΣΣΣ = 800 ΣΣΣΣ 2 0 = 440
= 1
= 3
60
4010
−∆ = − =
= 4
74747474
H C #3
K E :
L K :
= 02 2 0
4 50 2 = 10000 2 4 50 = 400
2 25 2 = 1250 2 2 25 = 100
5 25 2 = 3125 2 5 25 = 250
4 10 2 = 400 2 4 10 = 80ΣΣΣΣ = 7725 ΣΣΣΣ 2 0 = 830
∆ = − = −
= 4
= 5
= 4 = 210
25
25
50
75757575
= 1 = 4
= 5
= 4 = 2
= 3
100
25
25
50
60
4010
25
25
50
= 1 = 4
= 5
= 4 = 2
= 3
100
25
25
50
62
3821
16
34
41
∆ =∆ = −
76767676
H C #4
2: D
= 1 = 4
= 5
= 4 = 2
= 3
100
25
25
50
62
3821
16
34
41
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
20/21
20
77777777
H C #5
K E :
L K :
= 02 2 0
1 62 2 = 3844 2 1 62 = 124
4 21 2 = 1764 2 4 21 = 168
3 38 2 = 4332 2 3 38 = 228
ΣΣΣΣ = 1276 ΣΣΣΣ 2 0 = 520
= 1
= 3
62
3821
.∆ = − = −
= 4
78787878
H C #6
K E :
L K :
= 02 2 0
4 41 2 = 6724 2 4 41 = 328
2 16 2 = 512 2 2 16 = 64
5 34 2 = 5780 2 5 34 = 340
4 21 2 = 1764 2 4 21 = 268ΣΣΣΣ = 308 ΣΣΣΣ 2 0 = 900
. −∆ = − = −
= 4
= 5
= 4 = 221
16
34
41
79797979
H C #7
3: D
= 1 = 4
= 5
= 4 = 2
= 3
100
25
25
50
59.5
40.518.8 15.7
34.3
40.7
80808080
H C #5
K E :
L K :
= 02 2 0
1 (59.5) 2 = 3540.25 2 1 59.5 = 119
4 (18.8) 2 = 1413.76 2 4 18.8 = 150.4
3 (40.5) 2 = 4920.75 2 3 40.5 = 243
ΣΣΣΣ = 33.26 ΣΣΣΣ 2 0 = 512.4
= 1
= 3
59.5
40.518.8
..
.∆ = − = −
= 4
-
8/18/2019 10_Aliran Melalui Sistem Pipa [Compatibility Mode]
21/21
21
81818181
H C #6
K E :
L K :
= 02 2 0
4 (40.7) 2 = 6625.96 2 4 40.7 = 325.6
2 (16.7) 2 = 557.78 2 2 16.7 = 66.8
5 (34.3) 2 = 5882.45 2 5 34.3 = 343
4 (18.8)2
= 1413.76 2 4 18.8 = 150.4ΣΣΣΣ = 112.47 ΣΣΣΣ 2 0 = 885.8
..
.
−∆ = − = −
= 4
= 5
= 4 = 218.8
16. 7
34.3
40.7
82828282
H C #4
A ∆ ≈ 0