ref :r.c.downing. ashrae transactions 1974. paper n o...

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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`

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