ref :r.c.downing. ashrae transactions 1974. paper n o...
TRANSCRIPT
Enthalpy [kJ/kg]140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560
Pres
sure
[Bar
]
0,500,600,700,800,901,001,00
2,00
3,00
4,00
5,006,007,008,009,00
10,00
20,00
30,00
40,00
50,0060,0070,0080,00
s = 1
,60
s = 1
,65
s = 1
,70s =
1,75
s = 1,
80s =
1,85
s = 1,
90s =
1,95
s = 2,
00s =
2,05
s = 2,
10s =
2,15
s = 2,
20s =
2,25
s = 2,
30
-50
-40
-40
-30
-20
-20
-10
0
0
10
20
20
30
40
40
50
60
60
70
80
80
90
100 120 140 160 180 200
0,0015
0,00200,0030
0,0040 0,0050
0,0060
0,00700,00800,00900,0100
0,0150
0,0200
0,0300
0,0400
0,0500
0,0600
0,07000,08000,09000,1000
0,1500
0,2000
0,3000
0,4000
0,5000
0,6000
0,70000,80000,9000
-50
-40
-30
-20
-10
0
10
20
30
40
50
60
70
80
90
x = 0,10 0,20 0,30 0,40 0,50 0,60 0,70 0,80 0,90s = 1,00 1,20 1,40 1,60 1,80
v= 0,0020
v= 0,0030
v= 0,0040
v= 0,0060
v= 0,0080
v= 0,0100
v= 0,0150
v= 0,0200
v= 0,0300
v= 0,0400
v= 0,0600
v= 0,0800
v= 0,1000
v= 0,1500
v= 0,2000
v= 0,3000
DTU, Department of Energy Engineerings in [kJ/(kg K)]. v in [m^3/kg]. T in [ºC]
M.J. Skovrup & H.J.H Knudsen. 05-09-18
R22 Ref :R.C.Downing. ASHRAE Transactions 1974. Paper No. 2313.
5
Enthalpy [kJ/kg]140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560
Pres
sure
[Bar
]
0,500,600,700,800,901,001,00
2,00
3,00
4,00
5,006,007,008,009,00
10,00
20,00
30,00
40,00
50,0060,0070,0080,00
s = 1
,60
s = 1
,65
s = 1
,70s =
1,75
s = 1,
80s =
1,85
s = 1,
90s =
1,95
s = 2,
00s =
2,05
s = 2,
10s =
2,15
s = 2,
20s =
2,25
s = 2,
30
-50
-40
-40
-30
-20
-20
-10
0
0
10
20
20
30
40
40
50
60
60
70
80
80
90
100 120 140 160 180 200
0,0015
0,00200,0030
0,0040 0,0050
0,0060
0,00700,00800,00900,0100
0,0150
0,0200
0,0300
0,0400
0,0500
0,0600
0,07000,08000,09000,1000
0,1500
0,2000
0,3000
0,4000
0,5000
0,6000
0,70000,80000,9000
-50
-40
-30
-20
-10
0
10
20
30
40
50
60
70
80
90
x = 0,10 0,20 0,30 0,40 0,50 0,60 0,70 0,80 0,90s = 1,00 1,20 1,40 1,60 1,80
v= 0,0020
v= 0,0030
v= 0,0040
v= 0,0060
v= 0,0080
v= 0,0100
v= 0,0150
v= 0,0200
v= 0,0300
v= 0,0400
v= 0,0600
v= 0,0800
v= 0,1000
v= 0,1500
v= 0,2000
v= 0,3000
DTU, Department of Energy Engineerings in [kJ/(kg K)]. v in [m^3/kg]. T in [ºC]
M.J. Skovrup & H.J.H Knudsen. 05-09-18
R22 Ref :R.C.Downing. ASHRAE Transactions 1974. Paper No. 2313.
5
L
L+V
V
Enthalpy [kJ/kg]140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560
Pres
sure
[Bar
]
0,500,600,700,800,901,001,00
2,00
3,00
4,00
5,006,007,008,009,00
10,00
20,00
30,00
40,00
50,0060,0070,0080,00
s = 1
,60
s = 1
,65
s = 1
,70s =
1,75
s = 1,
80s =
1,85
s = 1,
90s =
1,95
s = 2,
00s =
2,05
s = 2,
10s =
2,15
s = 2,
20s =
2,25
s = 2,
30
-50
-40
-40
-30
-20
-20
-10
0
0
10
20
20
30
40
40
50
60
60
70
80
80
90
100 120 140 160 180 200
0,0015
0,00200,0030
0,0040 0,0050
0,0060
0,00700,00800,00900,0100
0,0150
0,0200
0,0300
0,0400
0,0500
0,0600
0,07000,08000,09000,1000
0,1500
0,2000
0,3000
0,4000
0,5000
0,6000
0,70000,80000,9000
-50
-40
-30
-20
-10
0
10
20
30
40
50
60
70
80
90
x = 0,10 0,20 0,30 0,40 0,50 0,60 0,70 0,80 0,90s = 1,00 1,20 1,40 1,60 1,80
v= 0,0020
v= 0,0030
v= 0,0040
v= 0,0060
v= 0,0080
v= 0,0100
v= 0,0150
v= 0,0200
v= 0,0300
v= 0,0400
v= 0,0600
v= 0,0800
v= 0,1000
v= 0,1500
v= 0,2000
v= 0,3000
DTU, Department of Energy Engineerings in [kJ/(kg K)]. v in [m^3/kg]. T in [ºC]
M.J. Skovrup & H.J.H Knudsen. 05-09-18
R22 Ref :R.C.Downing. ASHRAE Transactions 1974. Paper No. 2313.
5
L
L+V
V
courbe d’ébullition
courbe de rosée
Enthalpy [kJ/kg]140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560
Pres
sure
[Bar
]
0,500,600,700,800,901,001,00
2,00
3,00
4,00
5,006,007,008,009,00
10,00
20,00
30,00
40,00
50,0060,0070,0080,00
s = 1
,60
s = 1
,65
s = 1
,70s =
1,75
s = 1,
80s =
1,85
s = 1,
90s =
1,95
s = 2,
00s =
2,05
s = 2,
10s =
2,15
s = 2,
20s =
2,25
s = 2,
30
-50
-40
-40
-30
-20
-20
-10
0
0
10
20
20
30
40
40
50
60
60
70
80
80
90
100 120 140 160 180 200
0,0015
0,00200,0030
0,0040 0,0050
0,0060
0,00700,00800,00900,0100
0,0150
0,0200
0,0300
0,0400
0,0500
0,0600
0,07000,08000,09000,1000
0,1500
0,2000
0,3000
0,4000
0,5000
0,6000
0,70000,80000,9000
-50
-40
-30
-20
-10
0
10
20
30
40
50
60
70
80
90
x = 0,10 0,20 0,30 0,40 0,50 0,60 0,70 0,80 0,90s = 1,00 1,20 1,40 1,60 1,80
v= 0,0020
v= 0,0030
v= 0,0040
v= 0,0060
v= 0,0080
v= 0,0100
v= 0,0150
v= 0,0200
v= 0,0300
v= 0,0400
v= 0,0600
v= 0,0800
v= 0,1000
v= 0,1500
v= 0,2000
v= 0,3000
DTU, Department of Energy Engineerings in [kJ/(kg K)]. v in [m^3/kg]. T in [ºC]
M.J. Skovrup & H.J.H Knudsen. 05-09-18
R22 Ref :R.C.Downing. ASHRAE Transactions 1974. Paper No. 2313.
5
isenthalpique
isobare
Enthalpy [kJ/kg]140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560
Pres
sure
[Bar
]
0,500,600,700,800,901,001,00
2,00
3,00
4,00
5,006,007,008,009,00
10,00
20,00
30,00
40,00
50,0060,0070,0080,00
s = 1
,60
s = 1
,65
s = 1
,70s =
1,75
s = 1,
80s =
1,85
s = 1,
90s =
1,95
s = 2,
00s =
2,05
s = 2,
10s =
2,15
s = 2,
20s =
2,25
s = 2,
30
-50
-40
-40
-30
-20
-20
-10
0
0
10
20
20
30
40
40
50
60
60
70
80
80
90
100 120 140 160 180 200
0,0015
0,00200,0030
0,0040 0,0050
0,0060
0,00700,00800,00900,0100
0,0150
0,0200
0,0300
0,0400
0,0500
0,0600
0,07000,08000,09000,1000
0,1500
0,2000
0,3000
0,4000
0,5000
0,6000
0,70000,80000,9000
-50
-40
-30
-20
-10
0
10
20
30
40
50
60
70
80
90
x = 0,10 0,20 0,30 0,40 0,50 0,60 0,70 0,80 0,90s = 1,00 1,20 1,40 1,60 1,80
v= 0,0020
v= 0,0030
v= 0,0040
v= 0,0060
v= 0,0080
v= 0,0100
v= 0,0150
v= 0,0200
v= 0,0300
v= 0,0400
v= 0,0600
v= 0,0800
v= 0,1000
v= 0,1500
v= 0,2000
v= 0,3000
DTU, Department of Energy Engineerings in [kJ/(kg K)]. v in [m^3/kg]. T in [ºC]
M.J. Skovrup & H.J.H Knudsen. 05-09-18
R22 Ref :R.C.Downing. ASHRAE Transactions 1974. Paper No. 2313.
5
isotherme
Enthalpy [kJ/kg]140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560
Pres
sure
[Bar
]
0,500,600,700,800,901,001,00
2,00
3,00
4,00
5,006,007,008,009,00
10,00
20,00
30,00
40,00
50,0060,0070,0080,00
s = 1
,60
s = 1
,65
s = 1
,70s =
1,75
s = 1,
80s =
1,85
s = 1,
90s =
1,95
s = 2,
00s =
2,05
s = 2,
10s =
2,15
s = 2,
20s =
2,25
s = 2,
30
-50
-40
-40
-30
-20
-20
-10
0
0
10
20
20
30
40
40
50
60
60
70
80
80
90
100 120 140 160 180 200
0,0015
0,00200,0030
0,0040 0,0050
0,0060
0,00700,00800,00900,0100
0,0150
0,0200
0,0300
0,0400
0,0500
0,0600
0,07000,08000,09000,1000
0,1500
0,2000
0,3000
0,4000
0,5000
0,6000
0,70000,80000,9000
-50
-40
-30
-20
-10
0
10
20
30
40
50
60
70
80
90
x = 0,10 0,20 0,30 0,40 0,50 0,60 0,70 0,80 0,90s = 1,00 1,20 1,40 1,60 1,80
v= 0,0020
v= 0,0030
v= 0,0040
v= 0,0060
v= 0,0080
v= 0,0100
v= 0,0150
v= 0,0200
v= 0,0300
v= 0,0400
v= 0,0600
v= 0,0800
v= 0,1000
v= 0,1500
v= 0,2000
v= 0,3000
DTU, Department of Energy Engineerings in [kJ/(kg K)]. v in [m^3/kg]. T in [ºC]
M.J. Skovrup & H.J.H Knudsen. 05-09-18
R22 Ref :R.C.Downing. ASHRAE Transactions 1974. Paper No. 2313.
5
isotitre
Enthalpy [kJ/kg]140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560
Pres
sure
[Bar
]
0,500,600,700,800,901,001,00
2,00
3,00
4,00
5,006,007,008,009,00
10,00
20,00
30,00
40,00
50,0060,0070,0080,00
s = 1
,60
s = 1
,65
s = 1
,70s =
1,75
s = 1,
80s =
1,85
s = 1,
90s =
1,95
s = 2,
00s =
2,05
s = 2,
10s =
2,15
s = 2,
20s =
2,25
s = 2,
30
-50
-40
-40
-30
-20
-20
-10
0
0
10
20
20
30
40
40
50
60
60
70
80
80
90
100 120 140 160 180 200
0,0015
0,00200,0030
0,0040 0,0050
0,0060
0,00700,00800,00900,0100
0,0150
0,0200
0,0300
0,0400
0,0500
0,0600
0,07000,08000,09000,1000
0,1500
0,2000
0,3000
0,4000
0,5000
0,6000
0,70000,80000,9000
-50
-40
-30
-20
-10
0
10
20
30
40
50
60
70
80
90
x = 0,10 0,20 0,30 0,40 0,50 0,60 0,70 0,80 0,90s = 1,00 1,20 1,40 1,60 1,80
v= 0,0020
v= 0,0030
v= 0,0040
v= 0,0060
v= 0,0080
v= 0,0100
v= 0,0150
v= 0,0200
v= 0,0300
v= 0,0400
v= 0,0600
v= 0,0800
v= 0,1000
v= 0,1500
v= 0,2000
v= 0,3000
DTU, Department of Energy Engineerings in [kJ/(kg K)]. v in [m^3/kg]. T in [ºC]
M.J. Skovrup & H.J.H Knudsen. 05-09-18
R22 Ref :R.C.Downing. ASHRAE Transactions 1974. Paper No. 2313.
5
isentropique
parties verticales non représentées
dans la phase liquide
Enthalpy [kJ/kg]140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560
Pres
sure
[Bar
]
0,500,600,700,800,901,001,00
2,00
3,00
4,00
5,006,007,008,009,00
10,00
20,00
30,00
40,00
50,0060,0070,0080,00
s = 1
,60
s = 1
,65
s = 1
,70s =
1,75
s = 1,
80s =
1,85
s = 1,
90s =
1,95
s = 2,
00s =
2,05
s = 2,
10s =
2,15
s = 2,
20s =
2,25
s = 2,
30
-50
-40
-40
-30
-20
-20
-10
0
0
10
20
20
30
40
40
50
60
60
70
80
80
90
100 120 140 160 180 200
0,0015
0,00200,0030
0,0040 0,0050
0,0060
0,00700,00800,00900,0100
0,0150
0,0200
0,0300
0,0400
0,0500
0,0600
0,07000,08000,09000,1000
0,1500
0,2000
0,3000
0,4000
0,5000
0,6000
0,70000,80000,9000
-50
-40
-30
-20
-10
0
10
20
30
40
50
60
70
80
90
x = 0,10 0,20 0,30 0,40 0,50 0,60 0,70 0,80 0,90s = 1,00 1,20 1,40 1,60 1,80
v= 0,0020
v= 0,0030
v= 0,0040
v= 0,0060
v= 0,0080
v= 0,0100
v= 0,0150
v= 0,0200
v= 0,0300
v= 0,0400
v= 0,0600
v= 0,0800
v= 0,1000
v= 0,1500
v= 0,2000
v= 0,3000
DTU, Department of Energy Engineerings in [kJ/(kg K)]. v in [m^3/kg]. T in [ºC]
M.J. Skovrup & H.J.H Knudsen. 05-09-18
R22 Ref :R.C.Downing. ASHRAE Transactions 1974. Paper No. 2313.
5
isochore
Enthalpy [kJ/kg]140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440 460 480 500 520 540 560
Pres
sure
[Bar
]
0,500,600,700,800,901,001,00
2,00
3,00
4,00
5,006,007,008,009,00
10,00
20,00
30,00
40,00
50,0060,0070,0080,00
s = 1
,60
s = 1
,65
s = 1
,70s =
1,75
s = 1,
80s =
1,85
s = 1,
90s =
1,95
s = 2,
00s =
2,05
s = 2,
10s =
2,15
s = 2,
20s =
2,25
s = 2,
30
-50
-40
-40
-30
-20
-20
-10
0
0
10
20
20
30
40
40
50
60
60
70
80
80
90
100 120 140 160 180 200
0,0015
0,00200,0030
0,0040 0,0050
0,0060
0,00700,00800,00900,0100
0,0150
0,0200
0,0300
0,0400
0,0500
0,0600
0,07000,08000,09000,1000
0,1500
0,2000
0,3000
0,4000
0,5000
0,6000
0,70000,80000,9000
-50
-40
-30
-20
-10
0
10
20
30
40
50
60
70
80
90
x = 0,10 0,20 0,30 0,40 0,50 0,60 0,70 0,80 0,90s = 1,00 1,20 1,40 1,60 1,80
v= 0,0020
v= 0,0030
v= 0,0040
v= 0,0060
v= 0,0080
v= 0,0100
v= 0,0150
v= 0,0200
v= 0,0300
v= 0,0400
v= 0,0600
v= 0,0800
v= 0,1000
v= 0,1500
v= 0,2000
v= 0,3000
DTU, Department of Energy Engineerings in [kJ/(kg K)]. v in [m^3/kg]. T in [ºC]
M.J. Skovrup & H.J.H Knudsen. 05-09-18
R22 Ref :R.C.Downing. ASHRAE Transactions 1974. Paper No. 2313.
5
Règle des moments
L N
h hgh`
xg =h� h`
hg � h`
V x` =hg � h
hg � h`