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Psychrometry
It is the study of the properties of Moist Air or a mixture
of dry air and water vapor.
Fundamental Parameters:
1. TOTAL PRESSURE

P = Pa + Pv KPa
2. VAPOR PRESSURE
Pv = Pw − PA(t d − t w ) KPa
where
A = 6.66 x 10 −4 → For tw equal or greater than 0°C
A = 5.94 x 10 −4 → For tw equal or less than 0°C
3. SPECIFIC HUMIDITY OR HUMIDITY RATIO

0.622Pv kg moisture
W=
P − Pv kgdryair
4. RELATIVE HUMIDITY
Pv
φ=
x 100%
Pd

5. ENTHALPY

KJ
h = 1.0045t d + W(2501 .3 + 1.86t d )
kg dryair
6. SPECIFIC VOLUME

0.287(t d + 273) m3
υ=
(P − Pv )
kgda
7. DEGREE OF SATURATION

 P − Pd 

µ = φ
P − P 
v 


Where
P – total pressure in KPa
Pw – saturation pressure corresponding tw, KPa
Pv – vapor pressure or saturation pressure corresponding
the dry bulb temperature of the water vapor in the
mixture.
Pa – partial pressure of dry air, KPa
Pd – saturation pressure corresponding td in KPa
td – dry bulb temperature, °C
tw – wet bulb temperature,°C
φ - relative humidity
W – humidity ratio or specific humidity, kgm/kgda
h – enthalpy, KJ/kgda
υ- specific volume, m3/kgda
µ - degree of saturation
Psychrometric Chart

φ

P = 101.325 KPa
h
tW
tdP

W

υ
td
Psychrometric Processes or Air conditioning
Processes

1. Sensible Heating – it is addition of heat to moist air
without the addition of moisture. It follows a constant
humidity ratio line on the psychrometric chart.
Q
m

1
t1
h1

m

2
t2
h2
h2

h1

1

t1

2

W1 = W 2

t2

Q = m(h2 - h1) → 1
Q = mCp(t2 - t1) → 2
Cp = 1.0045 + 1.86W KJ/kg-C → 3
2. Sensible Cooling: It is the removal of heat from moist air
without the removal of moisture. It also follows a constant
W on the psychrometric chart.
Q

m

1
t1
h1

m

2
t2
h2
h1

h2

2

t2

1

W1 = W2

t1

Q = m(h1 – h2) → 1
Q = mCp(t1 – t2) → 2
Cp = 1.0045 + 1.86W KJ/kg-C → 3
3. Cooling and Dehumidifying: It is the removal of heat and
moisture from moist air, it involves sensible and latent
heat transfer.
Q

m

1
t1
h1

m

2
t2
h2

mw
hw
h1
1

ha

W1

h2
2

t2

a

t1

Q = m(h1 – h2) - mwhw → 1
mw = m(W1 – W2)→ 2
Q = Q s + QL → 3

W2
Qs = mCp(t1 – t2) → 4
Cp = 1.0045 + 1.86W2 → 5
Qs = m(ha – h2) → 6
QL = m(W1 – W2)hfg → 7
QL = m(h1 – ha) → 8
Where:
Qs – sensible heat
QL – latent heat
For air conditioning design
Cp = 1.02 KJ/kg-°C
hfg = 2500 KJ/kg
4. Heating and Humidifying: It is the addition of heat and
moisture to moist air, it also involves sensible and latent
heat transfer.
Q
m

1
t1
h1

m

mw
hw

2
t2
h2
h2
2

ha

W2

h1
1

t1

a

t2

Q = m(h2 – h2) - mwhw → 1
mw = m(W2 – W1)→ 2
Q = Q s + QL → 3

W1
Qs = mCp(t2 – t1) → 4
Cp = 1.0045 + 1.86W1 → 5
Qs = m(ha – h1) → 6
QL = m(W2 – W1)hfg → 7
QL = m(ha – h1) → 8
5. HUMIDIFYING – It is the addition of moisture to moist
air without the addition of heat.

m

1
t1
h1

m

mw
hw

2
t2
h2
hw = h g @ t 1
hw < h g @ t 1
hw = hf @ tw1 or tw2

2

2
2

2

1

m(h2 – h2) = mwhw → 1
mw = m(W2 – W1)→ 2

hw > h g @ t 1
h2 − h1
hw =
→3
W2 − W1

. ADIABATIC MIXING – It is the mixing of two streams of
moist air without the addition of heat.
h2
W2

m2

2

m1
1
h1
W1

3
m3
h3
W3
m1 + m2 = m3 → 1
m1h1 + m2h2 = m3h3→ 2
m1W1 +m2W2 = m3W3→ 3

m1 h2 − h3 W2 − W3 t 2 − t 3
=
=
=
→4
m2 h3 − h1 W3 − W1 t 3 − t 1
m1 h2 − h3 W2 − W3 t 2 − t 3
=
=
=
→ 5
m 3 h2 − h 1 W 2 − W1 t 2 − t 1
m2 h3 − h1 W3 − W1 t 3 − t 1
=
=
=
→ 6
m 3 h2 − h1 W 2 − W1 t 2 − t 1
SENSIBLE HEAT FACTOR
Sensible Heat factor is the ratio of the sensible heat to
the total heat transfer for a process.

QS
SHF =
Q
QS
SHF =
QS +Ql
APPARATUS DEW POINT
COOLING AND DEHUMIDIFYING
PROCESS
1
2

tADP
t ADP – apparatus dew point
LOAD RATIO LINE

Room air condition

Supply air condition
2
1

For air conditioning design, supply air temperature is within 3°C to 11°C lower
than the room condition.
By: ENGR. YURI G. MELLIZA

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Psychrometry (air conditioning processes)

  • 1. Psychrometry It is the study of the properties of Moist Air or a mixture of dry air and water vapor. Fundamental Parameters: 1. TOTAL PRESSURE P = Pa + Pv KPa 2. VAPOR PRESSURE Pv = Pw − PA(t d − t w ) KPa where A = 6.66 x 10 −4 → For tw equal or greater than 0°C A = 5.94 x 10 −4 → For tw equal or less than 0°C
  • 2. 3. SPECIFIC HUMIDITY OR HUMIDITY RATIO 0.622Pv kg moisture W= P − Pv kgdryair 4. RELATIVE HUMIDITY Pv φ= x 100% Pd 5. ENTHALPY KJ h = 1.0045t d + W(2501 .3 + 1.86t d ) kg dryair
  • 3. 6. SPECIFIC VOLUME 0.287(t d + 273) m3 υ= (P − Pv ) kgda 7. DEGREE OF SATURATION  P − Pd   µ = φ P − P  v   Where P – total pressure in KPa Pw – saturation pressure corresponding tw, KPa Pv – vapor pressure or saturation pressure corresponding the dry bulb temperature of the water vapor in the mixture. Pa – partial pressure of dry air, KPa
  • 4. Pd – saturation pressure corresponding td in KPa td – dry bulb temperature, °C tw – wet bulb temperature,°C φ - relative humidity W – humidity ratio or specific humidity, kgm/kgda h – enthalpy, KJ/kgda υ- specific volume, m3/kgda µ - degree of saturation
  • 5. Psychrometric Chart φ P = 101.325 KPa h tW tdP W υ td
  • 6.
  • 7. Psychrometric Processes or Air conditioning Processes 1. Sensible Heating – it is addition of heat to moist air without the addition of moisture. It follows a constant humidity ratio line on the psychrometric chart. Q m 1 t1 h1 m 2 t2 h2
  • 8. h2 h1 1 t1 2 W1 = W 2 t2 Q = m(h2 - h1) → 1 Q = mCp(t2 - t1) → 2 Cp = 1.0045 + 1.86W KJ/kg-C → 3
  • 9. 2. Sensible Cooling: It is the removal of heat from moist air without the removal of moisture. It also follows a constant W on the psychrometric chart. Q m 1 t1 h1 m 2 t2 h2
  • 10. h1 h2 2 t2 1 W1 = W2 t1 Q = m(h1 – h2) → 1 Q = mCp(t1 – t2) → 2 Cp = 1.0045 + 1.86W KJ/kg-C → 3
  • 11. 3. Cooling and Dehumidifying: It is the removal of heat and moisture from moist air, it involves sensible and latent heat transfer. Q m 1 t1 h1 m 2 t2 h2 mw hw
  • 12. h1 1 ha W1 h2 2 t2 a t1 Q = m(h1 – h2) - mwhw → 1 mw = m(W1 – W2)→ 2 Q = Q s + QL → 3 W2
  • 13. Qs = mCp(t1 – t2) → 4 Cp = 1.0045 + 1.86W2 → 5 Qs = m(ha – h2) → 6 QL = m(W1 – W2)hfg → 7 QL = m(h1 – ha) → 8 Where: Qs – sensible heat QL – latent heat For air conditioning design Cp = 1.02 KJ/kg-°C hfg = 2500 KJ/kg
  • 14. 4. Heating and Humidifying: It is the addition of heat and moisture to moist air, it also involves sensible and latent heat transfer. Q m 1 t1 h1 m mw hw 2 t2 h2
  • 15. h2 2 ha W2 h1 1 t1 a t2 Q = m(h2 – h2) - mwhw → 1 mw = m(W2 – W1)→ 2 Q = Q s + QL → 3 W1
  • 16. Qs = mCp(t2 – t1) → 4 Cp = 1.0045 + 1.86W1 → 5 Qs = m(ha – h1) → 6 QL = m(W2 – W1)hfg → 7 QL = m(ha – h1) → 8
  • 17. 5. HUMIDIFYING – It is the addition of moisture to moist air without the addition of heat. m 1 t1 h1 m mw hw 2 t2 h2
  • 18. hw = h g @ t 1 hw < h g @ t 1 hw = hf @ tw1 or tw2 2 2 2 2 1 m(h2 – h2) = mwhw → 1 mw = m(W2 – W1)→ 2 hw > h g @ t 1
  • 19. h2 − h1 hw = →3 W2 − W1 . ADIABATIC MIXING – It is the mixing of two streams of moist air without the addition of heat. h2 W2 m2 2 m1 1 h1 W1 3 m3 h3 W3
  • 20.
  • 21. m1 + m2 = m3 → 1 m1h1 + m2h2 = m3h3→ 2 m1W1 +m2W2 = m3W3→ 3 m1 h2 − h3 W2 − W3 t 2 − t 3 = = = →4 m2 h3 − h1 W3 − W1 t 3 − t 1 m1 h2 − h3 W2 − W3 t 2 − t 3 = = = → 5 m 3 h2 − h 1 W 2 − W1 t 2 − t 1 m2 h3 − h1 W3 − W1 t 3 − t 1 = = = → 6 m 3 h2 − h1 W 2 − W1 t 2 − t 1
  • 22. SENSIBLE HEAT FACTOR Sensible Heat factor is the ratio of the sensible heat to the total heat transfer for a process. QS SHF = Q QS SHF = QS +Ql
  • 23. APPARATUS DEW POINT COOLING AND DEHUMIDIFYING PROCESS 1 2 tADP t ADP – apparatus dew point
  • 24. LOAD RATIO LINE Room air condition Supply air condition 2 1 For air conditioning design, supply air temperature is within 3°C to 11°C lower than the room condition.
  • 25. By: ENGR. YURI G. MELLIZA