4.-pipings-1.doc

100
ROTARY KILN TO COOLER PIPING Materials to be transported CO 2 and H 2 O Density !"#" $%&' # Mass (lo) rate *!2*"$%&s +ol,'etri- (lo) rate *!*./ ' # &s P 2***** Pa P 2 *#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

Upload: jackielyn-eugenio

Post on 07-Jan-2016

215 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 1/100

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

Page 2: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 2/100

������� ��  �� = √����� 

�� �����  ×

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+

Page 3: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 3/100

-en(th o) Pipe 5 m

" / o) )ittin(s ) 2ui'alent pipe

Diameter

,lobe 'al'e 1 300

Page 4: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 4/100

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(*+

� ∆ � = �

Page 5: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 5/100

  1 2 2  1 �  ∆�� = 2��

(�2 − �1 )

=

2 × 1��

∙ �    ∙

�2

(10.9771)2 −

(15

)2!�

 ∆�� = −��.����

��

or Pressure Drop+

Page 6: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 6/100

 

=

  " " ∆   

  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+

Page 7: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 7/100

3.7 × 0.1101 m

× 1000 ��

� = 6.4133

�10−3

24379.7975√�

2 × (6.4133 �10−3) × (10.9771�

)2

× 5 ��  =

� 

0.1101

m

Page 8: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 8/100

��    = 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�

1  �3 

� = #��� 

����

�� �� �1  + �� �� �2

�� = �#����� ������� �� ����� �����

�� = �#����� ������� �� �������� = �#����� 

��������� ��� �� � � 

�1  = ����� �� � ���  �������

�2  = ����� �� ��� ���  �������

Page 9: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 9/100

�3  = ����� �� ��� ���  ������� + �#�� ����� �� ��

��������

�#�� ����� �� �� �������� = �3 − ����� �� ������ 

�������

E1.51$$ "

!1#500C

!#310C

@eat trans)er coe))icient o) (ases 3 Fm#&

!hermal Conducti'it* o) Carbon Steel 45 Fm&

Page 10: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 10/100

!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)�

������  ���  �� �   ���� �����  = �. ���

Page 11: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 11/100

<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

Page 12: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 12/100

������� ��  �� = √����� 

�� �����  ×

4

4= √3.532 × 10−4

�2  ×�

Page 13: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 13/100

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:

Page 14: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 14/100

?al'es 0.1 1 0.1 #00

!ees 1 1 1 90

!otal 3.4# 4.10

Page 15: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 15/100

=

!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� 

� 

Page 16: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 16/100

=

 ∆�� = 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

Page 17: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 17/100

 

 ∆ 

 = ���.

����

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$:+

Page 18: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 18/100

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!

Page 19: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 19/100

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 ���/����

Page 20: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 20/100

)

6sin( i(. 10&#4 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 

Page 21: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 21/100

  1 �3 ��

���1 

+

�� ��

�2

� = #��� ����

Page 22: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 22/100

�� = �#����� ������� �� ����� �����

�� = �#����� ������� �� �������� = �#����� 

��������� ��� �� � � 

�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 

Page 23: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 23/100

�3  = 0.0198

0.39�/� 

− �

0.0167�

�#�� ����� �� �� �������� = (0.0198 − 0.0167)�

������  ���  �� �   ���� �����  = �. ������

Page 24: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 24/100

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

Page 25: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 25/100

������� ��  �� = √����� 

�� �����  ×

4

4= √2.5594 × 10−4

�2  ×�

Page 26: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 26/100

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

Page 27: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 27/100

!otal #. 30

!hus7 �� = 12

� +

370����(2.67)� = ��. �����

1000

Page 28: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 28/100

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 ) =

Page 29: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 29/100

2 × 1�� ∙ � 

   ∙ �2

(2.2381

)2 − (3�

)2!�

 ∆�� = −�.����

��

or Pressure Drop+

  " " ∆   

=�

  2  − 

 1  =�

 10132 5 m2 − 1218

45 . 56 m2 

2089.9563kg

m3

Page 30: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 30/100

 

 ∆ 

 = −�.

����

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

Page 31: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 31/100

�    =

Page 32: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 32/100

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 ��

Page 33: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 33/100

��� = −��.

���� ��

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 ���/����

Page 34: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 34/100

)

6sin( i(. 10&#4 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�

��� ��  = �.

���� � 

Page 35: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 35/100

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  ×��

Page 36: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 36/100

������� ��  �� = 0.02194 �

Page 37: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 37/100

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

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 38/100

!hus7 �� = 16

� +

320 � �(2.42)� = ��. �����

1000

Page 39: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 39/100

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!�

Page 40: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 40/100

=

 ∆�� = −�.����

��

or Pressure Drop+

  " " ∆   �

  2  − 

 1 =�

 1013 25 m2 −

10132 5 m2 

1216.48kgm3

 ∆ = �

 

Page 41: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 41/100

 

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+!

Page 42: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 42/100

√� 3.7 × 0.0209 � ×

1000 ��

� = 6.4710 ×

10−3

82533.2062√�

Page 43: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 43/100

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!

Page 44: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 44/100

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  ×��

Page 45: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 45/100

������� ��  �� = 0.0190 �

Page 46: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 46/100

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�

" /

Page 47: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 47/100

!hus7 �� = 9

� +

280 � �(1.67)� = �. �����

1000

Page 48: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 48/100

=

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

 

� 

Page 49: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 49/100

=

 ∆�� = 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

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 50/100

 

 ∆ = �

 

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

��    =

Page 51: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 51/100

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

+!

��√

Page 52: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 52/100

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!

Page 53: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 53/100

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

Page 54: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 54/100

������� ��  �� = √����� 

�� �����  ×

4

4= √9.87748 × 10−5

�2  ×�

Page 55: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 55/100

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

" /

Page 56: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 56/100

!hus7 �� = 9

� +

320 � �(2.42)� = ��. �����

1000

Page 57: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 57/100

 

=

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!�

Page 58: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 58/100

=

 ∆�� = −�.����

��

or Pressure Drop+

  " " ∆   

�  2  − 

 1 = �

 1013 25 m2 −

10132 5 m2 

983.2018kgm3

 ∆ = �

 

Page 59: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 59/100

 

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�

Page 60: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 60/100

1.256+ !

��√�

Page 61: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 61/100

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!

Page 62: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 62/100

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

Page 63: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 63/100

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

Page 64: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 64/100

� = 1.5637 �

" /

9

 

Page 65: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 65/100

=

!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  �

 

� 

Page 66: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 66/100

 ∆�� = 2�

(�2 − �1 )

=

2 � 1

�� ∙ �    ∙

�2

(1.563

7

)2 −(3

)2!�

 ∆�� = −�.����

��

or Pressure Drop+

Page 67: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 67/100

 

=

  " " ∆   

�  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

Page 68: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 68/100

�    =

Page 69: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 69/100

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 ��

��� = �.

���� ��

Page 70: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 70/100

T5e 4al,e is =s is positi4e! Hen-e> a p,'p is not re:,ired!

Page 71: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 71/100

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

Page 72: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 72/100

������� ��  �� = √����� 

�� �����  ×

4

4= √7.3395 x 10−4

�

Page 73: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 73/100

" /

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

Page 74: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 74/100

!hus7 �� = 5

� +

290 � �(1.17)� = �. �����

1000

Page 75: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 75/100

=

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 ) =

Page 76: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 76/100

2 × 1�� ∙ � 

   ∙ �2

(0.7584

)2 − (3�

)2!�

 ∆�� = −�.����

��

or Pressure Drop+

  " " ∆   

�  2  − 

 1 =�

 1013 25 m2 −

10132 5 m2 

1208kgm3

 ∆ 

 =

−�

Page 77: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 77/100

 

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

Page 78: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 78/100

+ ! �� √�

1  = −4$%g

0.045

7

1.25

6+!

√� 3.7 × 0.0351 � ×

1000 ��

62221.1657√�

Page 79: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 79/100

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!

Page 80: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 80/100

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

Page 81: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 81/100

������� ��  �� = √����� 

�� �����  ×

4

4= √4.8168 × 10−4

�2  ×�

Page 82: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 82/100

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�

" /

Page 83: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 83/100

!hus7 �� = 14.605

� +

280 � �(1.67)� = ��. �����

1000

Page 84: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 84/100

=

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�

Page 85: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 85/100

=

)2! �

 ∆�� = −�.����

��

or Pressure Drop+

  " " ∆   

�  2  − 

 1 =�

 12300 m2 − 1013

25 m2 

1486.4085kgm3

 ∆ 

 

= −��.

����

Page 86: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 86/100

 

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

Page 87: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 87/100

√� 0.045

7

3.7 × 0.0266 � ×

1000 ��

� = 5.9953 ×

10−3

1.25

6+!

128514.6249

√�

Page 88: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 88/100

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 ���/����

Page 89: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 89/100

6sin( i(. 10&#4 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 ��  �

Page 90: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 90/100

)

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�

 ����� =.

���� � 

Page 91: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 91/100

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

Page 92: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 92/100

������� ��  �� = √����� 

�� �����  ×

4

4= √0.3323 �2

�

Page 93: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 93/100

������� ��  �� =

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

 

Page 94: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 94/100

1 8 30

0. 1 0. 40

. 34

Page 95: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 95/100

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 � 

Page 96: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 96/100

 ∆�� = 2��(�2 − �1 )

=

2 × 1��

∙ �    ∙

�2

(22.6056)2 −

(30

)2!�

 ∆�� = −���.����

��

or Pressure Drop+

Page 97: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 97/100

 

" " ∆   

=�

  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

Page 98: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 98/100

�    =

Page 99: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 99/100

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 ��

Page 100: 4.-Pipings-1.doc

7/17/2019 4.-Pipings-1.doc

http://slidepdf.com/reader/full/4-pipings-1doc 100/100

��� = ����.

���� ��

T5e 4al,e is =s is positi4e Hen-e> a -o'pressor is not re:,ired!