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Heating and Cooling Load Calculations

The document discusses equations for calculating heating and cooling loads in buildings. It provides formulas for calculating loads from solar radiation, internal heat gains, heat transfer through walls and glazing, and heat transfer due to air infiltration. Loads are calculated separately for sensible and latent heat components. The overall cooling load is the sum of loads from all these sources. An example calculation is provided to demonstrate applying the equations.

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Israel Muhi
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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100% found this document useful (1 vote)
198 views23 pages

Heating and Cooling Load Calculations

The document discusses equations for calculating heating and cooling loads in buildings. It provides formulas for calculating loads from solar radiation, internal heat gains, heat transfer through walls and glazing, and heat transfer due to air infiltration. Loads are calculated separately for sensible and latent heat components. The overall cooling load is the sum of loads from all these sources. An example calculation is provided to demonstrate applying the equations.

Uploaded by

Israel Muhi
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
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heating v cooling load calculations

(Qsolar) + (Qint) = U x A x
SOLAR INTERNAL HEAT TRANSFER HEAT TRANSFER AREA
RADIATION HEAT GAIN COEFFICIENT

TOUT = TIN - ( (Qsolar) + (Qint)


U A

QOPAQUE = U x A x CLTD
HEAT OVERALL HEAT TRANSFER COOLING LOAD
TRANSFER HEAT AREA TEMP. DIFF.
THROUGH TRANSFER
OPAQUE
SURFACES

QTRANS = AUNSHADED x SHGFMAX x SC x


HEAT AREA SOLAR HEAT SHADING
TRANSFER EXPOSED TO GAIN FACTOR COEFFICIENT
THROUGH SOLAR
FENESTRATION RADIATION

QS,INF = MO x CP.M x ( TO
HEAT SPECIFIC HEAT TEMPERATURE
TRANSFER DUE OF THE MOIST OUTDOOR
TO INFILTRATED AIR
INFILTRATION

QI,INF = MO x HFG x ( WO
HEAT DUE TO LATENT HEAT OF HUMIDITY
INFILTRATION VAPORIZATION RATIO
OUTDOOR

VO = (ACH) x V / 3600 m³/s


INFILTRATION AIR CHANGE GROSS VOLUME
RATE BY ACH PER HOUR
VO = A x C x ÐP
DIFF. BET. OUTSIDE
AND INSIDE
PRESSURE
EFFECTIVE LEAKAGE OF THE CRACK
( TIN - TOUT )
REQUIRED REQUIRED
INDOOR OUTDOOR
TEMP. TEMPERATURE

) SENSIBLE

CLF
COOLING
LOAD
FACTOR

- TI ) = VO x PO x
TEMPERAT INFILTRATION RATE, m³ DENSITY OF
URE THE MOIST
INDOOR INFILTRATED
AIR

- WI ) = VO x PO x
HUMIDITY INFILTRATION RATE, m³ DENSITY OF
RATIO THE MOIST
INDDOR INFILTRATED
AIR
CP.M x ( TO - TI )
SPECIFIC HEAT OF TEMPERATURE TEMPERATURE
THE MOIST OUTDOOR INDOOR
INFILTRATED AIR

HFG x ( WO - WI )
LATENT HEAT OF HUMIDITY HUMIDITY RATIO
VAPORIZATION RATIO INDDOR
OUTDOOR
PROJECT:
LOCATION:
SUBJECT:
DATE:

GIVEN: 41.1
ROOM DIMENSION = L 10 W 5 FLR TO FLR
WALL AT WEST SIDE
GLASS DIMENSION = L 10 H 1.5
WALL NET AREA = 20 SQM
WALL = 6" THICK CHB PLASTERED
TEMP. INSIDE = 24 +/-2˚C
TEMP. OUTSIDE 35 ˚C db / 28.8°C wb
Outdoor Relative Humi
= 64 %
Outdoor Enthalpy = 22.4 Kcal / Kg -da

INDOOR TEMP. = 25 ±2 ºCdb / 19.6°Cwb


ROOM ENTHALPY = 12.6 Kcal/ Kg - da
ACH = 12 REQUIREMENTS

EXTERNAL LOADS
QWALL = UWALL X AWALL X ETDWALL
1.78 X ((3.5*10)-(1.5*10) X 25
890 W 20
QROOF = UROOF X AROOF X ETDROOF
1.316 5*10 X 0
0W 50

QFLOOR = UFLOOR X AFLOOR X ETDFLOOR


1.2 X 50 X 0
0W

QGLASS = AGLASS X (UGLASS X (TO -


15 X 3.12 X 10 +
4338 W

HEAT TRANFER DUE TO INFILTRATION


MASSINF = DENSITY OFX (ACH X ROOM VOLUME)
1.095 0.5 120
0.01825

QS,INF = MINF X CPM X (TO -


0.01825 X 1021.6 X 35 -
186.442 W

QS,INF = MINF X HFG X (WO -


0.01825 2501000 0.0107 -
36.5146 W

INTERNAL LOAD
LOAD DUE TO OCCUPANTS
QS,OCC = NO OF OC X SHG
5X 90
450 W

QL,OCC = NO OF OC X LHG
5X 40
200 W

LOAD DUE TO LIGHTINGS


QLIGHTS = 33 X FLOOR AREA
33 X 50
1650 W

LOAD DUE TO APPLIANCE


QS,APP = 3000 W
QL,APP 3800 W

QSTOTAL 10514.44 QWALL + QROOF + QFLOOR +


QLTOTAL 4036.515 QS,INF + QL,OCC + QL,APP

QTOTAL = QSTOTAL + QLTOTAL


14550.96

RSHF = QSTOTAL / QTOTAL


0.722595

REQUIRED COOLING CAPACITY


= QTOTAL * 1.25
18188.7 W

18.1887 Kw
5.173122 TR

SQM/TR 7.944913
PREP ROOM 21.8 2.743894 SAY 3 TR 1200 CFM
RECEIVING 10.3 1.296427 SAY 1.3 TR 520 CFM
CLEANROOM 8.75 1.101334 SAY 1.1 TR 440 CFM
40.85
3.5 CH 2.4

TI) + SHGFMAX X SC)


300 X 0.86

/ 3600
3600

TI)
25

WI)
0.0099

QGLASS + QS,INF + QS,OCC + QLIGHTS + QS,APP

2160
3669.309
30.57758
PROJECT:
LOCATION:
SUBJECT:
DATE:

GIVEN: 1.5
ROOM DIMENSION = L 2.08 W 5 FLR TO FLR
WALL AT WEST SIDE
GLASS DIMENSION = L 2.08 H 1.5
WALL NET AREA = 4.16 SQM
WALL = 6" THICK CHB PLASTERED
TEMP. INSIDE = 24 +/-2˚C
TEMP. OUTSIDE 35 ˚C db / 28.8°C wb
Outdoor Relative Humi
= 64 %
Outdoor Enthalpy = 22.4 Kcal / Kg -da

INDOOR TEMP. = 25 ±2 ºCdb / 19.6°Cwb


ROOM ENTHALPY = 12.6 Kcal/ Kg - da
ACH = 12 REQUIREMENTS

EXTERNAL LOADS
QWALL = UWALL X AWALL X ETDWALL
1.78 X ((3.5*10)-(1.5*10) X 25
323.96 W 7.28
QROOF = UROOF X AROOF X ETDROOF
1.316 5*10 X 0
0W 10.4

QFLOOR = UFLOOR X AFLOOR X ETDFLOOR


1.2 X 10.4 X 0
0W

QGLASS = AGLASS X (UGLASS X (TO -


3.12 X 3.12 X 10 +
902.304 W

HEAT TRANFER DUE TO INFILTRATION


MASSINF = DENSITY OFX (ACH X ROOM VOLUME)
1.095 0.5 24.96
0.003796

QS,INF = MINF X CPM X (TO -


0.003796 X 1021.6 X 35 -
38.77994 W

QS,INF = MINF X HFG X (WO -


0.003796 2501000 0.0107 -
7.595037 W

INTERNAL LOAD
LOAD DUE TO OCCUPANTS
QS,OCC = NO OF OC X SHG
1X 90
90 W

QL,OCC = NO OF OC X LHG
1X 40
40 W

LOAD DUE TO LIGHTINGS


QLIGHTS = 33 X FLOOR AREA
33 X 1.5
49.5 W

LOAD DUE TO APPLIANCE


QS,APP = 620 W
QL,APP W

QSTOTAL 2024.544 QWALL + QROOF + QFLOOR +


QLTOTAL 47.59504 QS,INF + QL,OCC + QL,APP

QTOTAL = QSTOTAL + QLTOTAL


2072.139

RSHF = QSTOTAL / QTOTAL


0.977031

REQUIRED COOLING CAPACITY


= QTOTAL * 1.25
2590.174 W

2.590174 Kw
0.736682 TR

SQM/TR 14.11735
RECEIVING 10.3 0.729598 1.25 0.911998080027019 TR 364.7992 CFM
3.5 CH 2.4

TI) + SHGFMAX X SC)


300 X 0.86

/ 3600
3600

TI)
25

WI)
0.0099

QGLASS + QS,INF + QS,OCC + QLIGHTS + QS,APP

619.7042
PROJECT:
LOCATION:
SUBJECT:
DATE:

GIVEN: 21.7884
ROOM DIMENSION = L 8.04 W 2.71 FLR TO FLR
WALL AT WEST SIDE
GLASS DIMENSION = L 8.04 H 2.4
WALL NET AREA = 8.844 SQM
WALL = 6" THICK CHB PLASTERED
TEMP. INSIDE = 24 +/-2˚C
TEMP. OUTSIDE 35 ˚C db / 28.8°C wb
Outdoor Relative Humi
= 64 %
Outdoor Enthalpy = 22.4 Kcal / Kg -da

INDOOR TEMP. = 25 ±2 ºCdb / 19.6°Cwb


ROOM ENTHALPY = 12.6 Kcal/ Kg - da
ACH = 12 REQUIREMENTS

EXTERNAL LOADS
QWALL = UWALL X AWALL X ETDWALL
1.78 X ((3.5*10)-(1.5*10) X 25
393.558 W 8.844
QROOF = UROOF X AROOF X ETDROOF
1.316 5*10 X 0
0W 21.7884

QFLOOR = UFLOOR X AFLOOR X ETDFLOOR


1.2 X 21.7884 X 0
0W

QGLASS = AGLASS X (UGLASS X (TO -


19.296 X 3.12 X 10 +
5580.403 W

HEAT TRANFER DUE TO INFILTRATION


MASSINF = DENSITY OFX (ACH X ROOM VOLUME)
1.095 0.5 52.29216
0.007953

QS,INF = MINF X CPM X (TO -


0.007953 X 1021.6 X 35 -
81.24546 W

QS,INF = MINF X HFG X (WO -


0.007953 2501000 0.0107 -
15.91189 W

INTERNAL LOAD
LOAD DUE TO OCCUPANTS
QS,OCC = NO OF OC X SHG
2X 90
180 W

QL,OCC = NO OF OC X LHG
2X 40
80 W

LOAD DUE TO LIGHTINGS


QLIGHTS = 33 X FLOOR AREA
33 X 21.7884
719.0172 W

LOAD DUE TO APPLIANCE


QS,APP = 2900 W
QL,APP 3000 W

QSTOTAL 9854.224 QWALL + QROOF + QFLOOR +


QLTOTAL 3095.912 QS,INF + QL,OCC + QL,APP

QTOTAL = QSTOTAL + QLTOTAL


12950.14

RSHF = QSTOTAL / QTOTAL


0.760936

REQUIRED COOLING CAPACITY


= QTOTAL * 1.25
16187.67 W

16.18767 Kw
4.604002 TR

SQM/TR 4.732492
PREP ROM 21.7884 4.604002 1.25 5.75500202274815 TR 2302.001 CFM
3.5 CH 2.4

TI) + SHGFMAX X SC)


300 X 0.86

/ 3600
3600

TI)
25

WI)
0.0099

QGLASS + QS,INF + QS,OCC + QLIGHTS + QS,APP

3910.534
PROJECT:
LOCATION:
SUBJECT:
DATE:

GIVEN: 8.4138
ROOM DIMENSION = L 3.79 W 2.22 FLR TO FLR
WALL AT WEST SIDE
GLASS DIMENSION = L 0H 0
WALL NET AREA = 13.265 SQM
WALL = 6" THICK CHB PLASTERED
TEMP. INSIDE = 24 +/-2˚C
TEMP. OUTSIDE 35 ˚C db / 28.8°C wb
Outdoor Relative Humi
= 64 %
Outdoor Enthalpy = 22.4 Kcal / Kg -da

INDOOR TEMP. = 25 ±2 ºCdb / 19.6°Cwb


ROOM ENTHALPY = 12.6 Kcal/ Kg - da
ACH = 12 REQUIREMENTS

EXTERNAL LOADS
QWALL = UWALL X AWALL X ETDWALL
1.78 X ((3.5*10)-(1.5*10) X 25
0 W 0
QROOF = UROOF X AROOF X ETDROOF
1.316 5*10 X 0
0W 8.4138

QFLOOR = UFLOOR X AFLOOR X ETDFLOOR


1.2 X 8.4138 X 0
0W

QGLASS = AGLASS X (UGLASS X (TO -


0X 3.12 X 10 +
0W

HEAT TRANFER DUE TO INFILTRATION


MASSINF = DENSITY OFX (ACH X ROOM VOLUME)
1.095 0.5 20.19312
0.003071

QS,INF = MINF X CPM X (TO -


0.003071 X 1021.6 X 35 -
31.37371 W

QS,INF = MINF X HFG X (WO -


0.003071 2501000 0.0107 -
6.144531 W

INTERNAL LOAD
LOAD DUE TO OCCUPANTS
QS,OCC = NO OF OC X SHG
2X 90
180 W

QL,OCC = NO OF OC X LHG
2X 40
80 W

LOAD DUE TO LIGHTINGS


QLIGHTS = 33 X FLOOR AREA
33 X 8.4138
277.6554 W

LOAD DUE TO APPLIANCE


QS,APP = 620 W
QL,APP 0W

QSTOTAL 1109.029 QWALL + QROOF + QFLOOR +


QLTOTAL 86.14453 QS,INF + QL,OCC + QL,APP

QTOTAL = QSTOTAL + QLTOTAL


1195.174

RSHF = QSTOTAL / QTOTAL


0.927923

REQUIRED COOLING CAPACITY


= QTOTAL * 1.25
1493.967 W

1.493967 Kw
0.424905 TR

SQM/TR 19.80159
PREP ROM 8.4138 0.424905 1.25 0.531131632546573 TR 212.4527 CFM
TOTAL TR 5.765589
3.5 CH 2.4

TI) + SHGFMAX X SC)


300 X 0.86

/ 3600
3600

TI)
25

WI)
0.0099

QGLASS + QS,INF + QS,OCC + QLIGHTS + QS,APP

360.9048

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