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THE PSYCHROMETRIC CHART:
Theory and Application
Perry Peralta
Perry Peralta
NC State University
NC State University
PSYCHROMETRIC CHART
„
„ Identify parts of the chart
Identify parts of the chart
„
„ Determine moist air properties
Determine moist air properties
„
„ Use chart to analyze processes
Use chart to analyze processes
involving moist air
involving moist air
Psychrometric chart: Example 1
Given: T = 25°C
Tw =20°C
Required: (a) RH, (b) Tdp, (c) HR, (d) v, (e) h
25°C
20.0°C
57.5 kJ/kg d.a.
63%
0.86 m3/kg d.a.
17.6°C 12.6 g/kg d.a.
PSYCHROMETRIC PROCESSES
Sensible Heating or Cooling
„ a psychrometric process that involves
the increase or decrease in the
temperature of air without changing its
humidity ratio
„ Example: passing moist air over a room
space heater and of kiln air over the
heating coils
1 2
Sensible heating: Example 5
T2=60ºC
Tw2=50ºC
RH2=58.8%
T3=70ºC
Tw3=?
RH3=?
60°C 70°C
50°C
5
8
.
8
%
3
7
.
6
%
2 3
275.5 kJ/kg d.a.
287.0 kJ/kg d.a.
51°C
Heating and Humidifying
„ a psychrometric process that involves
the simultaneous increase in both the
dry bulb temperature and humidity ratio
of the air
1
2
0
Heating and humidifying: Example 7
Two and a half cubic meters of lumber is being dried
at 60°C dry bulb temperature and 52°C wet bulb
temperature. The drying rate of the lumber is 12.5
kg of water per hour. If outside air is at 27°C
dry bulb temperature and 80% relative humidity,
how much outside air is needed per minute to carry
away the evaporated moisture?
27°C 60°C
8
0
%
1
2
92 g/kg d.a.
18 g/kg d.a.
0.87 m3/kg d.a.
52°C
Heating and humidifying: Example 7
∆HR = (92.0 – 18.0) g/kg dry air
= 74.0 g/kg dry air
wa1 = drying rate/∆HR
= (12.5 kg/hour)/(0.074 kg/kg dry air)
= 168.9 kg dry air/hour
VF1=(wa1)(v1)
=(168.9 kg dry air/hour)(0.87 m3/kg dry air)
= 147 m3/hour = 2.45 m3/minute
Cooling and Dehumidifying
„ a psychrometric process that involves
the removal of water from the air as the
air temperature falls below the dew-
point temperature
1
2
Cooling and dehumidifying: Example 9
Moist air at 50°C dry bulb temperature and 32%
relative humidity enters the cooling coil of a
dehumidification kiln heat pump system and is
cooled to a temperature of 18°C. If the drying rate
of 6 m3 of red oak lumber is 4 kg/hour,
determine the kW of refrigeration required.
18°C 50°C
3
2
%
2
1
25.2 g/kg d.a.
12.9 g/kg d.a.
28.8°C
115.7 kJ/kg d.a.
50.8 kJ/kg d.a.
Cooling and dehumidifying: Example 9
a
drying rate
w
HR
kg water
4
h
kg water
0.0123
kg dry air
kg dry air
325.2
h
=
∆
=
=
∆HR = (25.2 – 12.9) g water/kg dry air
= 12.3 g water/kg dry air
Cooling and dehumidifying: Example 9
( )( )
a
q h w
kJ kg dry air
64.9 325.2
kg dry air h
kJ
21105.7 5.9 kW
h
= ∆
   
=    
 
 
= =
∆h = (115.7 – 50.8) kJ/kg dry air
= 64.9 kJ/kg dry air
Adiabatic or Evaporative Cooling
„ a psychrometric process that involves
the cooling of air without heat loss or
gain. Sensible heat lost by the air is
converted to latent heat in the added
water vapor
1
2
Evaporative cooling: Example 10
Referring to Figure 21, air at state point 1 (65°C
dry bulb temperature and 57°C wet bulb temperature)
experiences a temperature drop of 3°C as it passes
through the 1.2-m wide stack of lumber. Determine
the properties of the air at state point 2 and compare
them with those at state point 1. If the air is flowing
at a rate of 2 meters per second, determine the drying
rate assuming that the volume of the stack of
2.5-cm-thick lumber is 2.5 m3. The stack is
1.2 m wide x 3.6 m long, and the boards are
separated by stickers 3.8 cm wide x 1.9 cm thick that are
spaced 0.6 m apart.
T=65ºC
Tw=57ºC
T=62ºC
Evaporative cooling: Example 10
Given: T1 = 65°C; Tw1 = 57°C
Adiabatic cooling to T2 = 62°C
Air flow rate = 2 m/s
Volume of lumber = 2.5 m3
Board thickness = 2.5 cm
Stack dimensions: 1.2 m wide x 3.6 m long
Sticker dimensions: 3.8 cm wide x 1.9 cm thick
Sticker spacing = 0.6 m
Required: (a) Properties of the air at state point 2
relative to that at state point 1
(b) Drying rate
Solution:
1
2
65°C
62°C
1.14 m3/kg d.a.
1.15 m3/kg d.a.
123.1 g/kg d.a.
124.5 g/kg d.a.
57°C
Evaporative cooling: Example 10
(a) At state point 1: T1 = 65°C
Tw1 = 57°C
Tdp1 = 56.3°C
RH1 = 66.9%
HR1 = 123.1 g/kg of dry air
v1 = 1.15 m3/kg of dry air
h1 = 387.7 kJ/kg of dry air
At state point 2: T2 = 62°C
Tw2 = 57°C
Tdp2 = 56.5°C
RH2 = 77.3%
HR2 = 124.5 g/kg of dry air
v2 = 1.14 m3/kg of dry air
h2 = 387.7 kJ/kg of dry air
Evaporative cooling: Example 10
(b) ( )( )
a
Drying rate = HR w
∆
a
2
VF
w =
v
( )( )
VF = A air flow rate
Evaporative cooling: Example 10
l s
l t t w
l w t s
V P S
A P S S S
P P B S
  
+
= −
  
  
2.5 3.6 0.6
A 3.6*0.019 0.019*0.038
3.6*1.2*0.025 0.6
+
  
= −
  
  
2
A 1.47 m
=
Evaporative cooling: Example 10
2
A 1.47 m
=
( )
3
3 m m
VF = 1.47m 2 2.9
s s
 
=
 
 
( )( )
VF = A air flow rate
Evaporative cooling: Example 10
3
m
VF =2.9
s
3
a 3
m
2.9
kg dry air
s
w 2.6
m s
1.14
kg dry air
= =
a
2
VF
w =
v
Evaporative cooling: Example 10
kg dry air g
Drying rate 2.6 1.4
s kg dry air
g kg
3.6 13.0
s h
 
 
=   
  
= =
a
kg dry air
w 2.6
s
=
( )( )
a
Drying rate = w HR
∆
Adiabatic Mixing of Moist Air
Stream
„ A psychrometric process that involves
no net heat loss or gain during the
mixing of two air streams
1
3
2
Adiabatic mixing: Example 11
T1=43.3ºC
Tw1=37.8ºC
T2=26.7ºC
RH2=80%
VF1=112 m3/min
VF2=28 m3/min
T3=43.3ºC
Tw3=37.8ºC
2
3
1
0.95 m3/kg d.a.
0.87 m3/kg d.a.
43.3°C
37.8°C
26.7°C
80%
Adiabatic mixing: Example 11
a
VF
w =
v
3
a1 3
m
112
kg dry air
minute
w 117.9
m minute
0.95
kg dry air
= =
3
a2 3
m
28
kg dry air
minute
w 32.2
m minute
0.87
kg dry air
= =
Adiabatic mixing: Example 11
a2
a2 a1
line 1-3 w 32.2
= 0.21
line 1-2 w +w 32.2 117.9
= =
+
Therefore, length of line segment 1-3 is 0.21 times
the length of line 1-2
2
3
1
0.95 m3/kg d.a.
0.87 m3/kg d.a.
43.3°C
37.8°C
26.7°C
80%
40°C
35.6°C
Adiabatic mixing: Example 11
T3 = 40.0°C
Tw3 = 35.6°C

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psychrometric chart & processes.pdf

  • 1. THE PSYCHROMETRIC CHART: Theory and Application Perry Peralta Perry Peralta NC State University NC State University
  • 2. PSYCHROMETRIC CHART „ „ Identify parts of the chart Identify parts of the chart „ „ Determine moist air properties Determine moist air properties „ „ Use chart to analyze processes Use chart to analyze processes involving moist air involving moist air
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11. Psychrometric chart: Example 1 Given: T = 25°C Tw =20°C Required: (a) RH, (b) Tdp, (c) HR, (d) v, (e) h
  • 12. 25°C 20.0°C 57.5 kJ/kg d.a. 63% 0.86 m3/kg d.a. 17.6°C 12.6 g/kg d.a.
  • 14. Sensible Heating or Cooling „ a psychrometric process that involves the increase or decrease in the temperature of air without changing its humidity ratio „ Example: passing moist air over a room space heater and of kiln air over the heating coils
  • 15. 1 2
  • 18. 60°C 70°C 50°C 5 8 . 8 % 3 7 . 6 % 2 3 275.5 kJ/kg d.a. 287.0 kJ/kg d.a. 51°C
  • 19. Heating and Humidifying „ a psychrometric process that involves the simultaneous increase in both the dry bulb temperature and humidity ratio of the air
  • 20. 1 2 0
  • 21. Heating and humidifying: Example 7 Two and a half cubic meters of lumber is being dried at 60°C dry bulb temperature and 52°C wet bulb temperature. The drying rate of the lumber is 12.5 kg of water per hour. If outside air is at 27°C dry bulb temperature and 80% relative humidity, how much outside air is needed per minute to carry away the evaporated moisture?
  • 22. 27°C 60°C 8 0 % 1 2 92 g/kg d.a. 18 g/kg d.a. 0.87 m3/kg d.a. 52°C
  • 23. Heating and humidifying: Example 7 ∆HR = (92.0 – 18.0) g/kg dry air = 74.0 g/kg dry air wa1 = drying rate/∆HR = (12.5 kg/hour)/(0.074 kg/kg dry air) = 168.9 kg dry air/hour VF1=(wa1)(v1) =(168.9 kg dry air/hour)(0.87 m3/kg dry air) = 147 m3/hour = 2.45 m3/minute
  • 24. Cooling and Dehumidifying „ a psychrometric process that involves the removal of water from the air as the air temperature falls below the dew- point temperature
  • 25. 1 2
  • 26. Cooling and dehumidifying: Example 9 Moist air at 50°C dry bulb temperature and 32% relative humidity enters the cooling coil of a dehumidification kiln heat pump system and is cooled to a temperature of 18°C. If the drying rate of 6 m3 of red oak lumber is 4 kg/hour, determine the kW of refrigeration required.
  • 27. 18°C 50°C 3 2 % 2 1 25.2 g/kg d.a. 12.9 g/kg d.a. 28.8°C 115.7 kJ/kg d.a. 50.8 kJ/kg d.a.
  • 28. Cooling and dehumidifying: Example 9 a drying rate w HR kg water 4 h kg water 0.0123 kg dry air kg dry air 325.2 h = ∆ = = ∆HR = (25.2 – 12.9) g water/kg dry air = 12.3 g water/kg dry air
  • 29. Cooling and dehumidifying: Example 9 ( )( ) a q h w kJ kg dry air 64.9 325.2 kg dry air h kJ 21105.7 5.9 kW h = ∆     =         = = ∆h = (115.7 – 50.8) kJ/kg dry air = 64.9 kJ/kg dry air
  • 30. Adiabatic or Evaporative Cooling „ a psychrometric process that involves the cooling of air without heat loss or gain. Sensible heat lost by the air is converted to latent heat in the added water vapor
  • 31. 1 2
  • 32. Evaporative cooling: Example 10 Referring to Figure 21, air at state point 1 (65°C dry bulb temperature and 57°C wet bulb temperature) experiences a temperature drop of 3°C as it passes through the 1.2-m wide stack of lumber. Determine the properties of the air at state point 2 and compare them with those at state point 1. If the air is flowing at a rate of 2 meters per second, determine the drying rate assuming that the volume of the stack of 2.5-cm-thick lumber is 2.5 m3. The stack is 1.2 m wide x 3.6 m long, and the boards are separated by stickers 3.8 cm wide x 1.9 cm thick that are spaced 0.6 m apart.
  • 34. Evaporative cooling: Example 10 Given: T1 = 65°C; Tw1 = 57°C Adiabatic cooling to T2 = 62°C Air flow rate = 2 m/s Volume of lumber = 2.5 m3 Board thickness = 2.5 cm Stack dimensions: 1.2 m wide x 3.6 m long Sticker dimensions: 3.8 cm wide x 1.9 cm thick Sticker spacing = 0.6 m Required: (a) Properties of the air at state point 2 relative to that at state point 1 (b) Drying rate Solution:
  • 35. 1 2 65°C 62°C 1.14 m3/kg d.a. 1.15 m3/kg d.a. 123.1 g/kg d.a. 124.5 g/kg d.a. 57°C
  • 36. Evaporative cooling: Example 10 (a) At state point 1: T1 = 65°C Tw1 = 57°C Tdp1 = 56.3°C RH1 = 66.9% HR1 = 123.1 g/kg of dry air v1 = 1.15 m3/kg of dry air h1 = 387.7 kJ/kg of dry air At state point 2: T2 = 62°C Tw2 = 57°C Tdp2 = 56.5°C RH2 = 77.3% HR2 = 124.5 g/kg of dry air v2 = 1.14 m3/kg of dry air h2 = 387.7 kJ/kg of dry air
  • 37. Evaporative cooling: Example 10 (b) ( )( ) a Drying rate = HR w ∆ a 2 VF w = v ( )( ) VF = A air flow rate
  • 38. Evaporative cooling: Example 10 l s l t t w l w t s V P S A P S S S P P B S    + = −       2.5 3.6 0.6 A 3.6*0.019 0.019*0.038 3.6*1.2*0.025 0.6 +    = −       2 A 1.47 m =
  • 39. Evaporative cooling: Example 10 2 A 1.47 m = ( ) 3 3 m m VF = 1.47m 2 2.9 s s   =     ( )( ) VF = A air flow rate
  • 40. Evaporative cooling: Example 10 3 m VF =2.9 s 3 a 3 m 2.9 kg dry air s w 2.6 m s 1.14 kg dry air = = a 2 VF w = v
  • 41. Evaporative cooling: Example 10 kg dry air g Drying rate 2.6 1.4 s kg dry air g kg 3.6 13.0 s h     =       = = a kg dry air w 2.6 s = ( )( ) a Drying rate = w HR ∆
  • 42. Adiabatic Mixing of Moist Air Stream „ A psychrometric process that involves no net heat loss or gain during the mixing of two air streams
  • 43. 1 3 2
  • 46. 2 3 1 0.95 m3/kg d.a. 0.87 m3/kg d.a. 43.3°C 37.8°C 26.7°C 80%
  • 47. Adiabatic mixing: Example 11 a VF w = v 3 a1 3 m 112 kg dry air minute w 117.9 m minute 0.95 kg dry air = = 3 a2 3 m 28 kg dry air minute w 32.2 m minute 0.87 kg dry air = =
  • 48. Adiabatic mixing: Example 11 a2 a2 a1 line 1-3 w 32.2 = 0.21 line 1-2 w +w 32.2 117.9 = = + Therefore, length of line segment 1-3 is 0.21 times the length of line 1-2
  • 49. 2 3 1 0.95 m3/kg d.a. 0.87 m3/kg d.a. 43.3°C 37.8°C 26.7°C 80% 40°C 35.6°C
  • 50. Adiabatic mixing: Example 11 T3 = 40.0°C Tw3 = 35.6°C