4.-pipings-1.doc
TRANSCRIPT
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ROTARY KILN TO COOLER
P IP ING
Materials to be transported CO2 and H2O
Density !"#" $%&'#
Mass (lo) rate *!2*"$%&s
+ol,'etri- (lo) rate *!*./ '#&s
P 2***** Pa
P2 *#2/ Pa
+is-osity o0 (l,id "!/11 *3/ $%&'3s
Ele4ation * '
Dia'eter o0 pipe *!* '
Len%t5 o0 pipe / '
6Table /!. Ga4in To)ler and Ray 7innott! C5e'i-al En%ineerin% Desi%n pa%e! 28#9
Ta$in% t5e 4elo-ity e:,al to /!* '&s
����� ��
�� =
���������
��������
�������
0.1045 �3/�=15
� �
����� �� �� = 6.9667 × 10−3 �2
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������� �� �� = √�����
�� ����� ×
4
4= √6.9667 × 10−3
�2 ��
������� �� �� =
0.0942 �
������� �� �� =
3.7079 �
Properties o0 7teel Pipe 6Perry;s Handboo$ 8 t5 Edition Table *3229
Carbon Steel Pipes
Nominal Pipe SIze 4 in
Schedule Number 5S
Inside Diameter 0.1101 m
Outside Diameter 0.1143 m
all !hic"ness #.10$# % 10&3 m
Sol'in( )or the )luid 'elocit*+
� = ���� = ���
� 2
4
→ �
=
4 �
��� 2
kg
4 � � =���
2
4 (0 . 2019
s) =
� (1.9319��
)(0.1101 �)2�3
�� =
10.9771�
TOTAL LENGTH
,i'en+
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-en(th o) Pipe 5 m
" / o) )ittin(s ) 2ui'alent pipe
Diameter
,lobe 'al'e 1 300
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3)
!otal line len(th o) pipe 5m
+
!otal line len(th o) pipe
6.8m
(6)
(300)mm
1000m
m
M e- 5ani - a l E n e r%y < a la n - e
rom 2. #.&#$ o) !ransport Processes and 6nit Operations7 3rd d. b* ,ean"oplis 81993:+
−�� = ∆�� +
∆ � +
∆ +∑ �
�
;e*nold<s Number7
�� � �
=
��
�=
(0.1101 m) (10.9771�
)
(1.9319��
�
�
9.577 x 10−5
�� � −�
�� �� =24379.7975
or Potential ner(*+
= 1; ��� ��������� ����
�
∆ � = � ∆
� =
��
9 . 81 � 2
× 0 �
1��
∙ � ∙�2
or inetic ner(*+
� ∆ � = �
�
�
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1 2 2 1 � ∆�� = 2��
(�2 − �1 )
=
2 × 1��
∙ � ∙
�2
(10.9771)2 −
(15
�
)2!�
∆�� = −��.����
��
or Pressure Drop+
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=
" " ∆
�
2 −
1 =�
∆
1013 25 m2 −
20000 0 m2
1.9319kg
m3
= −�����. ����
or ∑ �+
or ittin(s=
6se 2. #.10&1 o) !ransport Process and 6nit Operations7 3rd d. >* ,ean"oplis 81993:+
22
Control ?al'es ) =# = � 2
(10.9771�
)2�
# = 6 � = 361.49022 ��
or -ine -oss=
6se 2. &$9 o) Perr*<s Chemical n(ineers< @andboo"7 $th
d. >* Perr* A ,reen 8#00$:+
2��2
�� =
�
or the )annin( )riction )actor )or N;eB 40007 e use e2. .3$ o) Perr*<s Chemical n(ineers< @andboo"7 $ th
d. >* Perr* A ,reen 8#00$:+
1 = −4 $%g √�
&3.7�
1.25
6+!
��√�
1 = −4$%g
0.045
7
1.25
6+!
√�Substitutin( 'alues+
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3.7 × 0.1101 m
× 1000 ��
� = 6.4133
�10−3
24379.7975√�
2 × (6.4133 �10−3) × (10.9771�
)2
× 5 �� =
�
0.1101
m
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�� = 70.1891
��
� �∑ � = �� + +� = 361.4902 �� + 70.1891 ��
�
>+
∑ � = ���. �����
�
� '�
−�� = 0 + −52.2516 �� + −51076.66028 kg +
431.6793 ��
�
��� = �����.
����� ��
T5e 4al,e is =s is positi4e! Hen-e> a -o'pressor is not re:,ired!
6sin( the 2uation in ,ean"oplis
IN 7 ?L A TION
2 �� ( �1 − �2 )� =
1�
2
1 �3
� = #���
����
�� �� �1 + �� �� �2
�� = �#����� ������� �� ����� �����
�� = �#����� ������� �� �������� = �#�����
��������� ��� �� � �
�1 = ����� �� � ��� �������
�2 = ����� �� ��� ��� �������
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�3 = ����� �� ��� ��� ������� + �#�� ����� �� ��
��������
�#�� ����� �� �� �������� = �3 − ����� �� ������
�������
E1.51$$ "
!1#500C
!#310C
@eat trans)er coe))icient o) (ases 3 Fm#&
!hermal Conducti'it* o) Carbon Steel 45 Fm&
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!hermal Conducti'it* o) GPS 0.39 Fm&"
@eat trans)er coe))icient o) air 1.$0 Fm#&
2�(6.8�)(250 � −
31�)71518.8� =
10. 1143�
1 �3
45�/� − ���
0.1101 �+
. 39�/� − ���
0.1143�
71518.8�
=
9356.919
6
8.3195 �10−4 + 2.564 ���3 0.1143�
59.4997 +
183374.2032 ��
�3
�
3
0.0167
�
= 9356.9196
��0.1143�
− 0.0507019 = 0
�
3��0.1143�
= 0.0507019
�3 = 0.1202 �
�#�� ����� �� �� �������� = (0.1202 − 0.1143)�
������ ��� �� � ���� ����� = �. ���
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<OILER TO MI@ER
Materials to be transported =ater
Density "8#!2*8 $%&'#
Mass (lo) rate !*.8 $%&s
+ol,'etri- (lo) rate !*/" *3# '#&s
P ""8!#
P2 28./!/
+is-osity o0 (l,id .!1 *3. $%&'3s
Ele4ation / '
Dia'eter o0 pipe *!*2 '
Len%t5 o0 pipe 1 'Po)er !2"*# $=
6Table /!. Ga4in To)ler and Ray 7innott! C5e'i-al En%ineerin% Desi%n pa%e! 28#9
Ta$in% t5e 4elo-ity e:,al to #!* '&s
����� ��
�� =
���������
��������
�������
1.0596 × 10−3=
3.0�
�
����� �� �� = 3.532 × 10−4 �2
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������� �� �� = √�����
�� ����� ×
4
4= √3.532 × 10−4
�2 �
�
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3 )
������� �� �� =
0.0213 �
������� �� �� =
0.8349 �
Properties o0 7teel Pipe 6Perry;s Handboo$ 8 t5 Edition Table *3229
Steel Pipes
Nominal Pipe SIze 1 in
Schedule Number 40S
Inside Diameter 0.0# m
Outside Diameter 0.0334 m
all !hic"ness 3.3$# % 10&3 m
Sol'in( )or the )luid 'elocit*+
� = ���� = ���
� 2
4
→ �
=
4 �
��� 2
kg
4 � � ==
��� 2
4 (1 . 0418 s
)
� (983.2018��
(0.0266 �)2�
�
TOTAL LENGTH
,i'en+
-en(th o) Pipe 1 m
� = 1.9067�
?al'es and ittin(s+ 1 (ate 'al'e7 3 90o elbo7 # tees
"/ o)
)ittin(s)
2ui'alent pipeDiameter8mm:
90 De(rees
lbos 0.5 3 #.#5 4083:
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?al'es 0.1 1 0.1 #00
!ees 1 1 1 90
!otal 3.4# 4.10
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=
!hus7 �� = 17
� +
4.42(500 � �)� = ��. �����
1000
M e- 5ani - a l E n e r%y < a la n - e
rom 2. #.&#$ o) !ransport Processes and 6nit Operations7 3rd d. b* ,ean"oplis 81993:+
−�� = ∆�� +
∆ � +
∆ +∑ �
�
;e*nold<s Number7
�� � �
=
��
�=
(0.0266 �) (1.9067 � )
(983.2018��
) �
� 3
4.67 × 10−4��� −�
�� �� =106781.48
or Potential ner(*+
= 1; ��� ��������� ����
�
∆ � = �
∆ �
�
�
9. 81� 2 ×
− 5 �
1��
∙ �
∙�2
�
or inetic ner(*+
∆ � = −��. ����
1 2 2 1�
�
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=
∆�� = 2��(�2 − �1 )
=
2 × 1��
∙ � ∙
�2
(1.906
7
�
)2 −(3
�
)2!�
∆�� = −�.����
��
or Pressure Drop+
" " ∆
�
2 −
1 =
�
121 845 . 5 m2 −
19918 . 36 m2
983.2018kg
m3
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∆
= ���.
����
or ∑ �+
or ittin(s=
6se 2. #.10&1 o) !ransport Process and 6nit Operations7 3rd d. >* ,ean"oplis 81993:+
2
2
,ate ?al'es ) 0.1=# = � 2
900 elbos7 )0.5=
(1.9067�
)2�
# = 0.17 � = 0.30902 ��
!ees7 )1=
(1.9067�
)2�
# = 0.75 � = 1.36332 ��
(1.9067�
)2
�# = � =1.8176
2��
� � ��� = 0.3090
��+ (3 × 1.3633
��) + (1 × 1.8176
��)
or -ine -oss=
�
� = �. ���� ��
6se 2. &$9 o) Perr*<s Chemical n(ineers< @andboo"7 $th d. >* Perr* A ,reen 8#00$:+
2��2
�� =
�
or the )annin( )riction )actor )or N;eB 40007 e use e2. .3$ o) Perr*<s Chemical n(ineers< @andboo"7 $ th
d. >* Perr* A ,reen 8#00$:+
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1 = −4 $%g √�
&
3.7�
1.25
6+!
��√�
1 = −4$%g
√�
Substitutin( 'alues+
0.045
7
3.7 × 0.0266 � ×
1000 ��
� = 6.0624 ×
10−3
1.25
6+!
106779.9683
√�
2 × (6.0624 × 10−3) × (1.9067�
)
2× 17 �
� =� 0.0266�
�� = 28.1721
��
� �∑ � = �� + +� = 6.2169 �� + 28.1721 ��
�
>+
∑ � = ��. �����
�
� � '�−�� = −9.05 �� + −2.6822 �� + 103.6686 kg
+ 34.3890 ��
�
��� = −��.
���� ��
T5e 4al,e is =s is ne%ati4e! Hen-e> a p,'p is re:,ired!
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P ? M P 7E LECTI O N
��� ��
���� =
−83.5987 ��2
2 ×3. 2808 �
= −27.3379 ��
9.81 �� � 1
Capacit*
�3
�2 = 1.0596 × 10−3 ×
�
60
�
1
����
264.172
���
× 1
�3
= 16.7950 ���/����
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)
6sin( i(. 10 o) Perr*<s Chemical n(ineers< @andboo"7 $th d. >* Perr* A ,reen 8#00$:+
!*pe o) Pump+ Re%enerati4e
6sin( i(. 5.10 o) Chemical n(ineerin( Desi(n b* Sinnott 4 th d. 8#005:+
−83.5987 ��2
��� �� �� ��
=
2 = −8.5218 �9.81 �� �
Capacit*
�3
�2 = 1.0596 × 10
−3
× �
3600
�
1 #
�
3
= 3.8146#
Impeller Size 150 mm
Pump ))icienc* 30H
rom 2. 5.a o) Chemical n(ineerin( Desi(n b* Sinnott 4 th d. 8#005:+
���� = (�� ×
�)/
(83.5987�
×1.0418��
���� =��
0.30
� 1��×
1000�
����� = �.
�����
CALC?LATION TO (IND T HICKNE77 O ( THE IN7 ?LATION
2 �� ( �1
− �2
)� = 1 �2
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1 �3 ��
���1
+
�� ��
�2
� = #��� ����
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�� = �#����� ������� �� ����� �����
�� = �#����� ������� �� �������� = �#�����
��������� ��� �� � �
�1 = ����� �� � ��� �������
�2 = ����� �� ��� ��� �������
�3 = ����� �� ��� ��� ������� + �#�� ����� �� ��
��������
�#�� ����� �� �� �������� = �3 − ����� �� ������
�������
Given Data:
� = 7554.27�
�� = 45�/� − �
�� = 0.39�/� − �
�1 = 0.0133�
�2 = 0.0167�
� = 18.402�
�3 = ����� �� ��� ��� ������� + �#�� ����� �� ��
��������
�#�� ����� �� �� �������� = �3 − ����� �� ������ �������
2�(18.4022�)(60 � − 31�)
7554.27 � =1
0.0167�
1 �3
45�/� − ���
0.0133�+
. 39�/� − ���
0.0167�
7554.27 �
=
3353.10854
7
5.05877 �10−3 +1
�� �3
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�3 = 0.0198
�
0.39�/�
− �
0.0167�
�#�� ����� �� �� �������� = (0.0198 − 0.0167)�
������ ��� �� � ���� ����� = �. ������
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MI@ER TO CLARI(IER
Materials to be transported Cr,de 7oda As5
Density 2*8"!"/# $%&'#
Mass (lo) rate !*.1 $%&s
+ol,'etri- (lo) rate 1!182 *3. '#&s
P 28./!/ Pa
P2 *#2/ Pa
+is-osity o0 (l,id *!***/"#1 $%&'3s
Ele4ation * '
Inside Dia'eter o0 pipe *!*2*" '
Len%t5 o0 pipe 2 'Po)er !/.8 $=
6Table /!. Ga4in To)ler and Ray 7innott! C5e'i-al En%ineerin% Desi%n pa%e! 28#9
Ta$in% t5e 4elo-ity e:,al to #!* '&s
����� ��
�� =
���������
��������
�������
7.6782 × 10−4=
3.0�
�
����� �� �� = 2.5594 × 10−4 �2
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������� �� �� = √�����
�� ����� ×
4
4= √2.5594 × 10−4
�2 �
�
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3)
������� �� �� =
0.0181 �
������� �� �� =
0.7107 �
Properties o0 7teel Pipe 6Perry;s Handboo$ 8 t5 Edition Table *3229
Steel Pipes
Nominal Pipe SIze 3F4 in
Schedule Number 40S
Inside Diameter 0.0#09 m
Outside Diameter 0.0# m
all !hic"ness #.$0# % 10&3 m
Sol'in( )or the )luid 'elocit*+
� = ���� = ���
� 2
4
→ �
=
4 �
��� 2
kg
4 � � =
��� 2
4 (1 . 6047s
) =
� (2089.9563��
(0.0209 �)2�
�
TOTAL L E NGTH
,i'en+
-en(th o) Pipe 1# m
� = 2.2381�
?al'es and ittin(s+ 1 (ate 'al'e7 # 90o elbo7 1 tees
"
/ o))ittin(s )
2ui'alent pipeDiameter
90 De(reeslbos 0.5 # 1.5 408#:
?al'es 0.1 1 0.1 #00
!ees 1 1 1 90
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!otal #. 30
!hus7 �� = 12
� +
370����(2.67)� = ��. �����
1000
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M e- 5ani - a l E n e r%y < a la n - e
rom 2. #.&#$ o) !ransport Processes and 6nit Operations7 3rd d. b* ,ean"oplis 81993:+
−�� = ∆�� +
∆ � +
∆ +∑ �
�
;e*nold<s Number7
�� � �
=
��
�=
(0.0209 �) (2.2381�
)
(2089.9563 �� ) �
� 3
0.0005937��� −�
�� �� =164660.9574
or Potential ner(*+
= 1; ��� ��������� ����
�
∆ � = � ∆
� =��
9 . 81� 2
× 0 �
1��
∙ � ∙�2
or inetic ner(*+
� ∆ � = ��
�
1 2 2 1�
�
∆�� = 2��(�2 − �1 ) =
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2 × 1�� ∙ �
∙ �2
(2.2381
�
)2 − (3�
)2!�
∆�� = −�.����
��
or Pressure Drop+
" " ∆
=�
2 −
1 =�
10132 5 m2 − 1218
45 . 56 m2
2089.9563kg
m3
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∆
= −�.
����
or ∑ �+
or ittin(s=
6se 2. #.10&1 o) !ransport Process and 6nit Operations7 3rd d. >* ,ean"oplis 81993:+
2
2
,ate ?al'es ) 0.1=# = � 2
900 elbos7 )0.5=
(2.2381�
)2�
# = 0.17 � = 0.425762 ��
!ees7 )1=
(2.2381�
)2�
# = 0.75 � = 1.87842 ��
(2.2381�
)2�
# = � =
2.50452 ��� � �
�� = 0.4258��
+ (2 × 1.8784��
) + (1 × 2.5045��
)
�� = �.
���� ��
or -ine -oss=
6se 2. &$9 o) Perr*<s Chemical n(ineers< @andboo"7 $th d. >* Perr* A ,reen 8#00$:+
2��2
�
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� =
�
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or the )annin( )riction )actor )or N;eB 40007 e use e2. .3$ o) Perr*<s Chemical n(ineers< @andboo"7 $ th
d. >* Perr* A ,reen 8#00$:+
1 = −4 $%g √�
&
3.7�
1.25
6+!
��√�
1 = −4$%g
√�
Substitutin( 'alues+
0.045
7
3.7 × 0.0209 � ×
1000 ��
� = 6.2482 ×
10−3
1.25
6+!
164662.9644
√�
2 × (6.2482 × 10−3) × (2.2381�
)
2× 12 �
� =� 0.0209�
�� = 35.9392
��
� �∑ � = �� + +� = 6.6870 �� + 35.9392 ��
�
>+
∑ � = ��. �����
�
� � ' �−�� = 0 �� + −1.9955 �� + −9.8187 kg +
42.6262 ��
�
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��� = −��.
���� ��
T5e 4al,e is =s is ne%ati4e! Hen-e> a p,'p is re:,ired!
P ? M P 7E LECTI O N
��� �� �� ��
=
28.9337 ��2
2 ×3. 2808 �
= 9.6764��
9.81 �� � 1
Capacit*
�3
�2 = �. ���� ×10−4 ×
�
60
�
1
����
264.172
���
× 1
�3
= 12.1702 ���/����
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)
6sin( i(. 10 o) Perr*<s Chemical n(ineers< @andboo"7 $th d. >* Perr* A ,reen 8#00$:+
!*pe o) Pump+ Centri0,%al 7in%le 7ta%e
6sin( i(. 5.10 o) Chemical n(ineerin( Desi(n b* Sinnott 4 th d. 8#005:+
28.9337 ��2
��� �� �� ��
=
2 = 2.9494 �9.81 �� �
Capacit*
�3
�2 = 7.6782 × 10
−4
× �
3600
�
1 #
�
3
= 2.7642#
Impeller Size 150 mm
Pump ))icienc* 30H
rom 2. 5.a o) Chemical n(ineerin( Desi(n b* Sinnott 4 th d. 8#005:+ ���� = (�� ×
�)/
(28.9337�
×1.6047��
���� =��
0.30
� 1��×
1000�
��� �� = �.
���� �
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CLARI(IER TO CLARI(IER 2
2
*
I
6Table /!. Ga4in To)ler and Ray 7innott! C5e'i-al En%ineerin% Desi%n pa%e! 28#9
Ta$in% t5e 4elo-ity e:,al to #!* '&s
����� ��
�� =
���������
��������
�������
1.1339 × 10−3=
3.0�
�
����� �� �� = 3.7798 × 10−4 �2
������� �� �� = √�����
�� ����� ×
4
4= √3.7798 × 10−4
�2 ��
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������� �� �� = 0.02194 �
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3 )
������� �� �� =
0.8637 �
Properties o0 7teel Pipe 6Perry;s Handboo$ 8 t5 Edition Table *3229
I
Sol'in( )or the )luid 'elocit*+
� = ���� = ���
� 2
4
→ �
=
4 �
��� 2
kg
4 � � =
��� 2
4 (1 . 3794s
) =
� (1216.48��
(0.0266 �)2�
�
TOTAL LENGTH
,i'en+
-en(th o) Pipe 1 m
?al'es and ittin(s+ 1 (ate 'al'e7 3 90o elbo
� = 2.0405�
"
![Page 38: 4.-Pipings-1.doc](https://reader030.vdocuments.mx/reader030/viewer/2022020806/563db8da550346aa9a978dbf/html5/thumbnails/38.jpg)
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!hus7 �� = 16
� +
320 � �(2.42)� = ��. �����
1000
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3)
=
M e- 5ani - a l E n e r%y < a la n - e
rom 2. #.&#$ o) !ransport Processes and 6nit Operations7 3rd d. b* ,ean"oplis 81993:+
−�� = ∆�� +
∆ � +
∆ +∑ �
�
;e*nold<s Number7
�� � �
=
��
�=
(0.0266 �) (2.0405�
)
(1216.48��
�
�
0.0008��� −�
�� �� =82533.2062
or Potential ner(*+
= 1; ��� ��������� ����
�
∆ � = �
∆ �
�
�
9. 81� 2 ×
− 4 �
1��
∙ � ∙
�2
�
or inetic ner(*+
∆ � = −��. ����
1 2 2 1�
�
∆�� = 2��(�2 − �1 )
=
2 × 1�2�
∙ � ∙ �2
(2.040
5
�
)2 −(3
�
)2!�
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=
∆�� = −�.����
��
or Pressure Drop+
" " ∆ �
2 −
1 =�
1013 25 m2 −
10132 5 m2
1216.48kgm3
∆ = �
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or ∑ �+
or ittin(s=
6se 2. #.10&1 o) !ransport Process and 6nit Operations7 3rd d. >* ,ean"oplis 81993:+
2
2
,ate ?al'es ) 0.1=# = � 2
900 elbos7 )0.5=
(2.0405�
)2�
# = 0.17 � = 0.35392 ��
(2.0405�
)2�
# = 0.75
�
= 1.56142 ��
��
�� = 0.3539��
+ (3 × 1.5614��
)
or -ine -oss=
�
� = �. ���� ��
6se 2. &$9 o) Perr*<s Chemical n(ineers< @andboo"7 $th d. >* Perr* A ,reen 8#00$:+
2��2
�� =
�
or the )annin( )riction )actor )or N;eB 40007 e use e2. .3$ o) Perr*<s Chemical n(ineers< @andboo"7 $ th
d. >* Perr* A ,reen 8#00$:+
1 = −4 $%g √�
&3.7�
1.25
6+!
��√�
1 = −4$%g
0.045
7
1.25
6+!
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√� 3.7 × 0.0209 � ×
1000 ��
� = 6.4710 ×
10−3
82533.2062√�
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Substitutin( 'alues+
2 × (6.2482 × 10−3) × (2.2381�
)
2
× 16 �� =� 0.0209�
�� = 32.4119
��
� �∑ � = �
�
+ +� = 5.0379
��+ 32.411 +
���
>+
∑ � = ��. �����
�
� � '�
−�� = 0 �� + −39.24 �� + −2.4182 kg +
37.4498 ��
�
��� = �.
���� ��
T5e 4al,e is =s is positi4e! Hen-e> a p,'p is not re:,ired!
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CLARI(IER 2 TO MI@ING +AL+E
*
I
6Table /!. Ga4in To)ler and Ray 7innott! C5e'i-al En%ineerin% Desi%n pa%e! 28#9
Ta$in% t5e 4elo-ity e:,al to #!* '&s
����� ��
�� =
���������
��������
�������
8.5028 × 10−4=
3.0�
�
����� �� �� = 2.8343 × 10−4 �2
������� �� �� = √�����
�� ����� ×
4
4= √2.8343 × 10−4
�2 ��
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������� �� �� = 0.0190 �
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3)
������� �� �� =
0.7479 �
Properties o0 7teel Pipe 6Perry;s Handboo$ 8 t5 Edition Table *3229
I
Sol'in( )or the )luid 'elocit*+
� = ���� = ���
� 2
4
→ �
=
4 �
��� 2
kg
4 � � =
��� 2
4 (1 . 2617s
) =
� (1483.8634��
(0.0209 �)2�
�
TOTAL L E NGTH
,i'en+
-en(th o) Pipe $ m
?al'es and ittin(s+ 1 (ate 'al'e7 # 90o elbo
� = 2.4785�
" /
9
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!hus7 �� = 9
� +
280 � �(1.67)� = �. �����
1000
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=
M e- 5ani - a l E n e r%y < a la n - e
rom 2. #.&#$ o) !ransport Processes and 6nit Operations7 3rd d. b* ,ean"oplis 81993:+
−�� = ∆�� +
∆ � +
∆ +∑ �
�
;e*nold<s Number7
�� � �
=
��
�=
(0.0209 �) (2.4785�
)
(1483.8634��
) �
� 3
0.0008��� −�
�� �� =96079.3262
or Potential ner(*+
= 1; ��� ��������� ����
�
∆ � = �
∆ �
�
�
9. 81� 2 ×
− 4 �
1��
∙ � ∙
�2
�
∆ � = −��.��
��
or inetic ner(*+
1
2
2 1
�
�
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=
∆�� = 2��(�2 − �1 )
=
2 × 1��
∙ � ∙
�2
(2.471
4
�
)2 −(3
�
)2!�
∆�� = −�.����
��
or Pressure Drop+
" " ∆
�
2 −
1 =
�
1013 25 m2 −
10132 5 m2
1483.8634kg
m3
![Page 50: 4.-Pipings-1.doc](https://reader030.vdocuments.mx/reader030/viewer/2022020806/563db8da550346aa9a978dbf/html5/thumbnails/50.jpg)
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�
�
∆ = �
or ∑ �+
or ittin(s=
6se 2. #.10&1 o) !ransport Process and 6nit Operations7 3rd d. >* ,ean"oplis 81993:+
2
2
,ate ?al'es ) 0.1=# = � 2
(2.4785
� )2
# = 0.17 �= 0.5221
2 ��
900 elbos7 )0.5=
(2.4785
� )2
# = 0.75
�
= 2.30352 ��
�
�
or -ine -oss=
� = 0.5221 �� + 2
(2.3035 ��)
�
� = �.
���� ��
6se 2. &$9 o) Perr*<s Chemical n(ineers< @andboo"7 $th d. >* Perr* A ,reen 8#00$:+
2��2
�� =
�
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or the )annin( )riction )actor )or N;eB 40007 e use e2. .3$ o) Perr*<s Chemical n(ineers< @andboo"7 $ th
d. >* Perr* A ,reen 8#00$:+
1 = −4 $%g
√�
&
3.7
�
1.25
6
+!
��√
�
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1 = −4$%g
0.045
7
1.25
6+!
√�
Substitutin( 'alues+
3.7 × 0.0209 � ×
1000 ��
� = 6.4103 ×
10−3
96079.3262√�
2 × (6.4103 × 10−3) × (2.4785�
)2
× 9 �� =�
0.0209�
�� = 33.9128
��
� �∑ � = �� + +� = 5.1292 �� + 33.9218 ��
�
>+
∑ � = ��. ����
�
�
� � '�
−�� = 0��
+ −39.24��
+ −1.4286kg
+ 39.0420
��
���� = �.
���� ��
T5e 4al,e is =s is Positi4e! Hen-e> a p,'p is not re:,ired!
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CENTRI(?GE TO MI@ING POINT
6Table /!. Ga4in To)ler and Ray 7innott! C5e'i-al En%ineerin% Desi%n pa%e! 28#9
Ta$in% t5e 4elo-ity e:,al to 2!* '&s
����� ��
���� =
���������
��������
�������
1.9755x 10−4
= 2.0 � �
����� �� �� = 9.87748 × 10−5 �2
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������� �� �� = √�����
�� ����� ×
4
4= √9.87748 × 10−5
�2 �
�
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3)
������� �� �� = 0.0112
�10−3 �
������� �� �� =
0.4415 �
Properties o0 7teel Pipe 6Perry;s Handboo$ 8 t5 Edition Table *3229
I
Sol'in( )or the )luid 'elocit*+
� = ���� = ���
� 2
4
→ �
=
4 �
��� 2
kg
4 � � =
��� 2
4 (0 . 2387s
) =
� (1208.3036��
(0.0158 �)2�
�
TOTAL LENGTH
,i'en+
-en(th o) Pipe 11 m
� = 1.0076�
?al'es and ittin(s+ 1 (ate 'al'e7 3 90o elbos
" /
9
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!hus7 �� = 9
� +
320 � �(2.42)� = ��. �����
1000
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=
M e- 5ani - a l E n e r%y < a la n - e
rom 2. #.&#$ o) !ransport Processes and 6nit Operations7 3rd d. b* ,ean"oplis 81993:+
−�� = ∆�� +
∆ � +
∆ +∑ ��
;e*nold<s Number7
�� � �
=
��
� =
(0.0158) (1.0076�
(1208.3036��
) � �
0.000517��� −�
�� �� =37206.1650
or Potential ner(*+
= 1; ��� ��������� ����
�
∆ � = �
∆ �
�
�
9. 81� 2 ×
− 1 �
1��
∙ � ∙
�2
�
or inetic ner(*+
∆ � = −�. ��
��
1 2 2 1 �
�
∆�� = 2��(�2 − �1 )
=
2 � 1
�� ∙ � ∙
�2
(1.007
6
�
)2 −(3
�
)2!�
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=
∆�� = −�.����
��
or Pressure Drop+
" " ∆
� 2 −
1 = �
1013 25 m2 −
10132 5 m2
983.2018kgm3
∆ = �
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�
or ∑ �+
or ittin(s=
6se 2. #.10&1 o) !ransport Process and 6nit Operations7 3rd d. >* ,ean"oplis 81993:+
2
2
,ate ?al'es ) 0.1=# = � 2
900 elbos7 )0.5=
(1.0076�
)2�
# = 0.17 � = 0.08632 ��
(1.0076
� )2
# = 0.75�
= 0.38072 ��
� ��� = 0.08636
��+ (2 × 0.3807
��)
��� = 0.8477
��
or -ine -oss=
6se 2. &$9 o) Perr*<s Chemical n(ineers< @andboo"7 $th d. >* Perr* A ,reen 8#00$:+
2��2
�� =
�
or the )annin( )riction )actor )or N;eB 40007 e use e2. .3$ o) Perr*<s Chemical n(ineers< @andboo"7 $ th
d. >* Perr* A ,reen 8#00$:+
1 = −4 $%g
√�
& 3.7�
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1.256+ !
��√�
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1 = −4$%g
0.045
7
1.25
6+!
√�
Substitutin( 'alues+
3.7 × 0.0158 � ×
1000 ��
� = 7.2846 ×
10−3
37206.1650√�
2 × (7.2846 × 10−3) × (1.0076�
)
2× 11 �
� =�
0.0158�
�� = 10.2970
��
� �∑ � = �� + +� = 0.8477 �� + 10.2970 ��
�
>+
∑ � = ��. ����
�
�
� � '�
−�� = 0��
+ −9.81��
+ −3.9924kg
+ 11.1447��
�
��� = �.���� ��
T5e 4al,e is =s is Positi4e! Hen-e> a p,'p is not re:,ired!
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HYDROCYLCONE TO MI@ING POINT
6Table /!. Ga4in To)ler and Ray 7innott! C5e'i-al En%ineerin% Desi%n pa%e! 28#9
Ta$in% t5e 4elo-ity e:,al to #!* '&s
����� ��
�� =
���������
��������
�������
5.3779x 10−4=
3�
�
����� �� �� = 17926 × 10−5 �2
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3)
������� �� �� = √�����
�� ����� ×
4
4= √17926 × 10−5
�2 ��
������� �� �� = 4.7775 �
10−3 �
������� �� �� =
0.5940 �
Properties o0 7teel Pipe 6Perry;s Handboo$ 8 t5 Edition Table *3229
I
Sol'in( )or the )luid 'elocit*+
� = ���� = ���
� 2
4
→ �
=
4 �
��� 2
kg
4 � � =���
2
4 (0 . 6482s)
=� (1208.3036
��
(0.0209 �)2�
�
TOTAL LENGTH
,i'en+
-en(th o) Pipe m
?al'es and ittin(s+ 1 (ate 'al'e7 1 90o elbo
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� = 1.5637 �
" /
9
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=
!hus7 �� = 7
� +
240 � �(0.92)� = �. �����
1000
M e- 5ani - a l E n e r%y < a la n - e
rom 2. #.&#$ o) !ransport Processes and 6nit Operations7 3rd d. b* ,ean"oplis 81993:+
−�� = ∆�� +
∆ � +
∆ +∑ �
�
;e*nold<s Number7
�� � �
=
��
�=
(0.0209�) (1.5637�
)
(1208.3036��
) �
� 3
0.0005170��� −�
�� �� =76380.4682
or Potential ner(*+
= 1; ��������� ����
�
∆ � = �
∆ �
�
�
9. 81� 2 ×
− 2 �
1 ��∙ � ∙
�2
�
or inetic ner(*+
∆ � = −��. ����
1 2 2 1 �
�
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∆�� = 2�
�
(�2 − �1 )
=
2 � 1
�� ∙ � ∙
�2
(1.563
7
�
)2 −(3
�
)2!�
∆�� = −�.����
��
or Pressure Drop+
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=
" " ∆
� 2 −
1 =�
1013 25 m2 −
10132 5 m2
983.2018kg
m3 ∆
= �
or ∑ �+
or ittin(s=
6se 2. #.10&1 o) !ransport Process and 6nit Operations7 3rd d. >* ,ean"oplis 81993:+
2
2
,ate ?al'es ) .1=
# = � 2
900 elbos7 ).5=
(1.5637�
)2�
# = .17 � = 0.20782 ��
(1.5637�
)2�
# = .75 � = .91692 ��
� � ��� = 0.0124
��+ 0.2078
��= .9169
��
��� = 1.1248
��
or -ine -oss=
6se 2. &$9 o) Perr*<s Chemical n(ineers< @andboo"7 $th d. >* Perr* A ,reen 8#00$:+
2��2
�
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� =
�
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or the )annin( )riction )actor )or N;eB 40007 e use e2. .3$ o) Perr*<s Chemical n(ineers< @andboo"7 $ th
d. >* Perr* A ,reen 8#00$:+
1
= −4 $%g √�
&
3.7�
1.25
6+!
��√�
1 = −4$%g
0.045
7
1.25
6+!
√�
Substitutin( 'alues+
3.7 × 0.0209 � ×
1000 ��
� = 6.5049 ×
10−3
76380.4682 √�
2 × (6.5049 × 10−3) × (1.5637�
)2
× 7 �� =� 0.0209�
�� = 10.6543
��
� �∑ � = �� + +� = 1.1248 �� + 10.6543 ��
�
>+
∑ � = ��. ����
��
� � ' �−�� = −19.62 �� + −3.2774 �� + 0 kg +
11.7791 ��
�
��� = �.
���� ��
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T5e 4al,e is =s is positi4e! Hen-e> a p,'p is not re:,ired!
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MI@ING POINT TO MI@ING +AL+E
6Table /!. Ga4in To)ler and Ray 7innott! C5e'i-al En%ineerin% Desi%n pa%e! 28#9
Ta$in% t5e 4elo-ity e:,al to !* '&s
����� ��
�� =
���������
��������
�������
7.3395 x 10−4
= 1 � �
����� �� �� = 2.4465 × 10−4 �2
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������� �� �� = √�����
�� ����� ×
4
4= √7.3395 x 10−4
�
�
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" /
0 0
1 1
1
3)
������� �� �� =
0.0306 �
������� �� �� =
1.2034 �
Properties o0 7teel Pipe 6Perry;s Handboo$ 8 t5 Edition Table *3229
I
Sol'in( )or the )luid 'elocit*+
� = ���� = ���
� 2
4
→ �
=
4 �
��� 2
kg
4 � � =
��� 2
4 (0 . 0306s
) =
� (1208.3036��
(0.0351 �)2�
�
TOTAL LENGTH
,i'en+
-en(th o) Pipe 5 m
?al'es and ittin(s+ 1 (ate 'al'e7 1 tees
� = 0.7584�
?al'es
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!hus7 �� = 5
� +
290 � �(1.17)� = �. �����
1000
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=
M e- 5ani - a l E n e r%y < a la n - e
rom 2. #.&#$ o) !ransport Processes and 6nit Operations7 3rd d. b* ,ean"oplis 81993:+
−�� = ∆�� +
∆ � +
∆ +∑ ��
;e*nold<s Number7
�� � �
=
��
� =
(0.0351 �) (0.7584�
)
(1208.3036
��
) �� 3
0.00 5170��� −�
�� �� =62221.1657
or Potential ner(*+ = 1; ��� ��������� ����
�
∆ � = � ∆
� =��
9 . 81� 2
× 0 �
1��
∙ � ∙�2
or inetic ner(*+
� ∆ � = �
�
�
1 2 2 1�
�
∆�� = 2��(�2 − �1 ) =
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2 × 1�� ∙ �
∙ �2
(0.7584
�
)2 − (3�
)2!�
∆�� = −�.����
��
or Pressure Drop+
" " ∆
� 2 −
1 =�
1013 25 m2 −
10132 5 m2
1208kgm3
∆
=
−�
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�
or∑ �+
or ittin(s=
6se 2. #.10&1 o) !ransport Process and 6nit Operations7 3rd d. >* ,ean"oplis 81993:+
2
2
,ate ?al'es ) 0.1=# = � 2
!ees7 )1=
(0.7585�
)2�
# = 0.17 � = .04892 ��
(0.7585
� )2
# =�
= .28762��
��
�� = 0.08636��
+ .
2876��
��� = 0.3365
��
or -ine -oss=
6se 2. &$9 o) Perr*<s Chemical n(ineers< @andboo"7 $th d. >* Perr* A ,reen 8#00$:+
2��2
�� =
�
or the )annin( )riction )actor )or N;eB 40007 e use e2. .3$ o) Perr*<s Chemical n(ineers< @andboo"7 $ th
d. >* Perr* A ,reen 8#00$:+
1 = −4 $%g √�
&
3.7�
1.25
6
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+ ! �� √�
1 = −4$%g
0.045
7
1.25
6+!
√� 3.7 × 0.0351 � ×
1000 ��
62221.1657√�
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Substitutin( 'alues+
� = 6.0516 ×
10−3
2 × (6.0516 × 10−3) × (0.7585�
)2
× 5 �� =� 0.0351�
�� = 0.9919
��
�∑ � =0.3365
��
�+0.9919 ��
�
>+
∑ � = 1.3284�
�
� � ' �−�� = 0 �� + −4.2124 �� + 0 kg +
1.3284 ��
�
��� = �.
���� ��
T5e 4al,e is =s is positi4e! Hen-e> a p,'p is not re:,ired!
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MI@ING POINT TO CRY7TALLIBER
*
6Table /!. Ga4in To)ler and Ray 7innott! C5e'i-al En%ineerin% Desi%n pa%e! 28#9
Ta$in% t5e 4elo-ity e:,al to #!* '&s
����� ��
�� =
���������
��������
�������
1.4450 × 10−3=
3.0�
�
����� �� �� = 4.8168 × 10−4 �2
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������� �� �� = √�����
�� ����� ×
4
4= √4.8168 × 10−4
�2 �
�
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3)
������� �� �� =
0.0248 �
������� �� �� =
0.9750 �
Properties o0 7teel Pipe 6Perry;s Handboo$ 8 t5 Edition Table *3229
I
Sol'in( )or the )luid 'elocit*+
� = ���� = ���
� 2
4
→ �
=
4 �
��� 2
kg
4 � � =
��� 2
4 (2 . 1479s
) =
� (1486.4085��
(0.0266 �)2�
�
TOTAL LENGTH
,i'en+
-en(th o) Pipe 14.05 m
?al'es and ittin(s+ 1 (ate 'al'e7 # 90o elbo
� = 2.6003�
" /
9
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!hus7 �� = 14.605
� +
280 � �(1.67)� = ��. �����
1000
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=
M e- 5ani - a l E n e r%y < a la n - e
rom 2. #.&#$ o) !ransport Processes and 6nit Operations7 3rd d. b* ,ean"oplis 81993:+
−�� = ∆�� +
∆ � +
∆ +∑ ��
;e*nold<s Number7
�� � �
=
��
� =
(0.0266 �) (2.6003�
)
(1486.4085
��
) �� 3
8.00 × 10−4��� −�
�� �� =128514.6249
or Potential ner(*+ = 1; ��� ��������� ����
�
∆ � = �
∆ �
�
�
9. 81� 2 × 4
. 605 �
1��
∙ � ∙
�2
�
or inetic ner(*+
∆ � = ��. ������
1 2 2 1�
�
∆�� = 2��(�2 − �1 )
=
2 × 1��
∙ �
∙
�
2
(2.600
3
�
)2 − (3�
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=
)2! �
∆�� = −�.����
��
or Pressure Drop+
" " ∆
� 2 −
1 =�
12300 m2 − 1013
25 m2
1486.4085kgm3
∆
= −��.
����
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or ∑ �+
or ittin(s=
6se 2. #.10&1 o) !ransport Process and 6nit Operations7 3rd d. >* ,ean"oplis 81993:+
2
2
,ate ?al'es ) 0.1=# = � 2
900 elbos7 )0.5=
(2.6003�
)2�
# = 0.17 � = 0.57472 ��
(2.6003 � )2 �# = 0.75 � = 2.53562 ��
� ��� = 0.5747 �� + + (2 ×
2.5356 ��)
��� = 5.6459
��
or -ine -oss=
6se 2. &$9 o) Perr*<s Chemical n(ineers< @andboo"7 $th d. >* Perr* A ,reen 8#00$:+
2��2
�� =
�
or the )annin( )riction )actor )or N;eB 40007 e use e2. .3$ o) Perr*<s Chemical n(ineers< @andboo"7 $ th
d. >* Perr* A ,reen 8#00$:+
1 = −4 $%g √�
&
3.7�
1.25
6+!
��√�
1
= −4
$%g
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√� 0.045
7
3.7 × 0.0266 � ×
1000 ��
� = 5.9953 ×
10−3
1.25
6+!
128514.6249
√�
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Substitutin( 'alues+
2 × (5.9953 × 10−3) × (2.6003�
)2
×
14.605 �� =� 0.0266�
�� = 44.5150
��
� �∑ � = �
�
+ +� = 5.6459
��+ 44.5150
���
>+
∑ � = ��. �����
�
� � '�
−�� = 45.1751 �� + −1.1192 �� + −59.8927 kg
+ 50.1609 ��
�
��� = −��.
���� ��
T5e 4al,e is =s is ne%ati4e! Hen-e> a p,'p is re:,ired!
P ? M P 7E LECTI O N
��� �� �� ��
=
35.1692
��2
2 × 3. 2808 � = 11.7618 ��
9.81 �� � 1
Capacit*
�3
�2 = 1.4450 × 10−3 ×
�
60
�
1����
264.172
���×
1�3
= 11.7618 ���/����
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6sin( i(. 10 o) Perr*<s Chemical n(ineers< @andboo"7 $th d. >* Perr* A ,reen
8#00$:+ !*pe o) Pump+ Re%enerati4e
6sin( i(. 5.10 o) Chemical n(ineerin( Desi(n b* Sinnott 4 th d. 8#005:+
35.1692 ��2
��� �� �� ��
=
2 = 3.5850 �9.81 �� �
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)
Capacit*
�3
�2 = 1.4450 × 10−3 ×
�
3600
�1 #
�3
= 5.2021#
Impeller Size 150 mm
Pump ))icienc* 30H
rom 2. 5.a o) Chemical n(ineerin( Desi(n b* Sinnott 4 th d. 8#005:+
���� = (�� ×
�)/
(35.1692�
×2.1479��
���� =��
0.30
� 1��×
1000�
����� =.
���� �
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CRY7TALLIBER TO CONDEN7ER
6Table /!. Ga4in To)ler and Ray 7innott! C5e'i-al En%ineerin% Desi%n pa%e! 28#9
Ta$in% t5e 4elo-ity e:,al to #* '&s
����� ��
�� =
���������
���������������
9.968 m3/s=
30�
�
����� �� �� =
0.3323 �2
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������� �� �� = √�����
�� ����� ×
4
4= √0.3323 �2
�
�
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������� �� �� =
0.6504 �
������� �� �� =
25.6063 �
Properties o0 7teel Pipe 6Perry;s Handboo$ 8 t5 Edition Table *3229
I
Sol'in( )or the )luid 'elocit*+
� = ���� = ���
� 2
4
→ �
=
4 �
��� 2
kg
4 � � =
��� 2
4 (0 . 8463s
) =
� (0.0849��
)(0.7493 �)2�3
�� =
22.6056�
TOTAL LENGTH
,i'en+
-en(th o) Pipe 5.3$3 m
" /o))itti
) 2ui'ale
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1 8 30
0. 1 0. 40
. 34
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3)
!otal line len(th o) pipe 5.3683 m
+
!otal line len(th o) pipe 7.6633 m
(6.75)
(340)mm
1000m
m
M e- 5ani - a l E n e r%y < a la n - e
rom 2. #.&#$ o) !ransport Processes and 6nit Operations7 3rd d. b* ,ean"oplis 81993:+
−�� = ∆�� +
∆ � +
∆ +∑ �
�
;e*nold<s Number7
�� � �
=
��
�=
(0.7493 m) (22.6056�
)
(0.0849��
�
�
1.062 x10−5��� −
�
�� �� =135411.0826
or Potential ner(*+
= 1; ��� ��������� ����
�
∆ � = � ∆
� =
��
9 . 81� 2 × ( 0 −
. 3683 ) �
1��
∙ � ∙
�2
�
or inetic ner(*+
∆ � = −�. ������
1 2 2 1 �
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∆�� = 2��(�2 − �1 )
=
2 × 1��
∙ � ∙
�2
(22.6056)2 −
(30
�
)2!�
∆�� = −���.����
��
or Pressure Drop+
![Page 97: 4.-Pipings-1.doc](https://reader030.vdocuments.mx/reader030/viewer/2022020806/563db8da550346aa9a978dbf/html5/thumbnails/97.jpg)
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" " ∆
=�
2 −
1 =�
12300 m2 −
12646 m2
0.0849kg m3
∆
= −����.
����
or∑ �
+
or ittin(s=
6se 2. #.10&1 o) !ransport Process and 6nit Operations7 3rd d. >* ,ean"oplis 81993:+
2
2
,lobe ?al'es ) =# = � 2
(22.6056�
)2�
# = 6 � = 1533.03942 ��
900 elbos7 )0.5=
(22.6056�
)2�
# = 0.75�
= 191.62992 ��
�
�� = 1533.0394 �� +
(191.6299)
�� =1724.6693
or -ine -oss=
6se 2. &$9 o) Perr*<s Chemical n(ineers< @andboo"7 $th d. >* Perr* A ,reen 8#00$:+
2��2
�
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� =
�
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or the )annin( )riction )actor )or N;eB 40007 e use e2. .3$ o) Perr*<s Chemical n(ineers< @andboo"7 $ th
d. >* Perr* A ,reen 8#00$:+
1 = −4 $%g √�
&
3.7�
1.25
6+!
��√�
1 = −4$%g
√�
Substitutin( 'alues+
0.045
7
3.7 × 0.7493 m × 1000
��
�= 4.3224
�10−3
1.25
6+!
135411.0826
√�
2 × (4.3224 �10−3) × (22.6056�
)2
×
5.3638 �� =� 0.7493
m
�� = 31.6231
��
� �∑ � = �� + +� = 1724.6693 �� + 31.6231 ��
�
>+
∑ � = ����. �����
�
' � '�
−�� = −3.6130 kg + −194.4934 �� + −4075.3828 kg +
1756.2924 ��
�
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��� = ����.
���� ��
T5e 4al,e is =s is positi4e Hen-e> a -o'pressor is not re:,ired!