8/9/2019 Pertes de Charge (Fluide Compressibles)V2

1/20

Head Losses - comp

A) Calculation o Head losses , knowing t

Input datapiping

materialrugosit diameter D

length L

loss riction ki!ttings

fuid "iscosi #olecular weight MwCompressibilit Z

$emperature T%ressure inlet P1

processfowrate inlet Qv1

others per ect gas cte

output data

densit ($&,%&) 1G

ReBfdarcy

"elocit U1head loss

%ressure outlet P

densit ($&,%')

P

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

2/20

) Calculation o fow rate , knowing the i

Input datapiping

materialrugosit diameter D

length L

loss riction ki

!ttings

fuid "iscosi #olecular weight MwCompressibilit Z

$emperature T%ressure inlet P1

%ressure outlet Pprocess

estimate riction fvkactor *on karmanothers per ect gas cte

output data

densit ($&,%&) 1G

ReB

fdarcy"elocit U1

*olumetric fow Qv1

densit ($&,%') U

*olumetric fow Qv2

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

3/20

essible fuid (gas)

e inlet condition and the piping arrangement

e!"i!eeri!" #$%!its %!its

cs&'(()*( ++ &'(()*(, #$

-('(( ++ -'(()*( #$1('(( + '1().( #$

1'& %!it/ess 1'& %!it/ess

('(1, c0o 1',()*(, #$1-'(( " +o/ 1'-()*( #$('23 ('23

13,'(( 4 5&-'1, 6 P17((('(( +8ars 7'(().(, Pa 7'(((().(,

,5,'5( +& h 1', )*(1 #$

-'&1 #$ -'&1).(( #$

&'3(& k" +&1'(-3).( k" s +

,7215, %!it/ess'3,). 1('(1372 %!it/ess

&('15 + s72177 Pa

-( +8ars3 (- & Pa

3 (- +8ars&' ( k" +&

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

4/20

nlet and outlet %ressure and the piping arrangement

e!"i!eeri!" #$%!its %!its

##1'(()*(& ++ 1'(()*(3 #$

-(('(( ++ -'(()*(1 #$(('(( + '(().( #$

,'(( %!it/ess ,'(( %!it/ess

('(11 c0o 1'1()*(, #$55'(( " +o/ 5'5()*( #$1'(( 1'((

5,'(( 4 &1-'1, 6 3(('(( +8ars '3().(, Pa5( '(( +8ars '5().(, Pa

,'27)*(&

-'&1 #$ -'&1).(( #$

5'& , k" +&1',1 ).( k" s +

1(22353- %!it/ess-' 2). &('((-12 %!it/ess

&5'23 + s1- +& s 3& 3,'73 +& h

5'(( k" +&&- + s12 +& s 3-5-('-5 +& h

9* /o"1(99 D: &'7:::;*

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

5/20

energ balance to sol"e +

.d%/01'.ln( &2 ' ) / ( .L23/4ki).01'2' 5 6

after i!te"ratio! with T

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

6/20

energ balance to sol"e +

.d%/01'.ln( &2 ' ) / ( .L23/4ki).01'2' 5 6

after i!te"ratio! with T

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

7/20

P 9!.1: 3' 53 ).(, *3'-&-1).(53' (-&).(, *&'7-55).(&3' (- ).(, *1'137 ).(13' (- ).(, *1'11(&)*(53' (- ).(, ('(((().((3' (- ).(, ('(((().((3' (- ).(, ('(((().((3' (- ).(, ('(((().((3' (- ).(, ('(((().((3' (- ).(, ('(((().((3' (- ).(, ('(((().((

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

8/20

f9!.1: vs f9!:

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

9/20

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

10/20

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

11/20

Head Losses - comp

A) Calculation o Head losses , knowing t

Input datapiping

materialrugosit diameter D

length L

loss riction ki!ttings

C%2C* kfuid "iscosi

#olecular weight MwCompressibilit Z

$emperature inlet T1%ressure inlet P1

9k*1: k9k.1: k

process fowrate Qv

others per ect gas cte

output data

densit ($&,%&) 1G

ReB

fdarcy"elocit U

head loss

%ressure outlet P

$emperature outlet Tdensit ($&,%')

P

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

12/20

) Calculation o fow rate , knowing the i

Input datapiping

materialrugosit diameter D

length L

loss riction ki!ttings

C%2C* kfuid "iscosi

#olecular weight MwCompressibilit Z

$emperature inlet T1%ressure inlet P1

%ressure outlet P9k*1: k9k.1: k

process estimate riction

actor *on karman fvk

others per ect gas cte

output data

densit ($&,%&) 1G

Re

Bfdarcy

"elocit U1*olumetric fow Qv1

densit ($&,%') U

*olumetric fow Qv2

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

13/20

essible fuid (gas)

e inlet condition and the piping arrangement

e!"i!eeri!" #$%!its %!its

cs'(()*(1 ++ '(()*(5 #$532'2( ++ 5'7()*(1 #$

(('(( + '(().( #$

1'(( %!it/ess 1'(( %!it/ess

1'5( %!it/ess 1'5( %!it/ess('(11 c0o 1'1()*(, #$55'(( " +o/ 5'5()*( #$1'(( 1'((

5,'(( 4 &1-'1, 6 P13(('(( +8ars '3().(, Pa '3((().(,

'-3)*(11'71

3&3 '(( +& h 1'77).(( #$

-'&1 #$ -'&1).(( #$

5'& , k" +&5'5(7).(1 k" s +

1-- 3 ( %!it/ess&'(7). 1('(1352 %!it/ess

1('12 + s1-(7 Pa

1- +8ars,-12& Pa

,- +8ars&1- 6 55'&7 45'&( k" +&

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

14/20

nlet and outlet %ressure and the piping arrangement

e!"i!eeri!" #$%!its %!its

##1'(()*(& ++ 1'(()*(3 #$

-(('(( ++ -'(()*(1 #$(('(( + '(().( #$

,'(( %!it/ess ,'(( %!it/ess

1'5( %!it/ess 1'5( %!it/ess('(11 c0o 1'1()*(, #$55'(( " +o/ 5'5()*( #$1'(( 1'((

5,'(( 4 &1-'1, 6 3(('(( +8ars '3().(, Pa5(&'(( +8ars '5().(, Pa

'-3)*(11'71

,'27)*(&

-'&1 #$ -'&1).(( #$

5'& , k" +&1', ).( k" s +11(333-2 %!it/ess

-'&5). &('((-1- %!it/ess

&,'12 + s1- +& s 3&332'77 +& h

5'(2 k" +&&7 + s12 +& s 37&,,'2& +& h

9* /o"1(99 D: &'7:::;*

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

15/20

energ balance to sol"e +

.d%/01'.ln( &2 ' ) / ( .L23/4ki).01'2' 5 6

after i!te"ratio! with P ;k

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

16/20

energ balance to sol"e +

.d%/01'.ln( &2 ' ) / ( .L23/4ki).01'2' 5 6

after i!te"ratio! with P ;k

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

17/20

P 9!.1: ',-12).(, 7'2&52).(',-12).(, *-'75(3)*(1',-12).(, *1'(3(()*(3',-12).(, ('(((().((

',-12).(, ('(((().((',-12).(, ('(((().((',-12).(, ('(((().((',-12).(, ('(((().((',-12).(, ('(((().((',-12).(, ('(((().((',-12).(, ('(((().((

2k. Ln(%&2%') /( .L23 /4ki) .01'2'56

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

18/20

f9!.1: vs f9!:

2k. Ln(%&2%') /( .L23 /4ki) .01'2'56

:.f>L D.ki:

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

19/20

8/9/2019 Pertes de Charge (Fluide Compressibles)V2

20/20