8/9/2019 Pertes de Charge (Fluide Compressibles)V2
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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
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) 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 ($&,%') U
*olumetric fow Qv2
8/9/2019 Pertes de Charge (Fluide Compressibles)V2
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essible fuid (gas)
e inlet condition and the piping arrangement
e!"i!eeri!" #$%!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
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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
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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
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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
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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
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f9!.1: vs f9!:
8/9/2019 Pertes de Charge (Fluide Compressibles)V2
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8/9/2019 Pertes de Charge (Fluide Compressibles)V2
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8/9/2019 Pertes de Charge (Fluide Compressibles)V2
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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
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) 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 ($&,%') U
*olumetric fow Qv2
8/9/2019 Pertes de Charge (Fluide Compressibles)V2
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essible fuid (gas)
e inlet condition and the piping arrangement
e!"i!eeri!" #$%!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
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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
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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
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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
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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
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f9!.1: vs f9!:
2k. Ln(%&2%') /( .L23 /4ki) .01'2'56
:.f>L D.ki:
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8/9/2019 Pertes de Charge (Fluide Compressibles)V2
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