heat transfer to a sunroom the affect of window type on heat transfer

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HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

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Page 1: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

HEAT TRANSFER TO A SUNROOMthe affect of window type on heat transfer

Page 2: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

The Situation

Clear Day Mid June Provo, UT The Pate’s have recently added a sunroom

to the exterior of their home. In the summer the temperature rises in that room a considerable amount. Should they have installed double pane windows instead? Should they invest in windows with reflective coating? How much of a difference would these windows make?

Page 3: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

What We Know:

Incident Solar Radiation East Wall: 5015 W/m2

South Wall: 2997 W/m2

West Wall: 5015 W/m2

Temperature Data Tsur, interior = 20° C Tsur, exterior = 35° C

Physical Properties Glass (T=300K)

1.4 W/mK Air

K=.0263 W/mK (T=300K)

Areas of Windows: East Wall

8.09 m2

South Wall: 6.77 m2 (x 2) 2.60 m2 (x2)

West Wall 8.09 m2

Volume of the Room 60 m3

Page 4: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

What We Assume:

Radiation Properties of Glass Transmissivity = .95 Absorbtivity = 0 Reflectivity = .05 Emissivity = .9

Neglect radiation out of the room (only consider incident radiation)

No heat transfer through the walls

Tsur stays constant Window areas are

all square (see diagram)

Page 5: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

Single Pane Glass

ho,i = 6 W/m2

qconv+cond = 728 W qrad= 1606 W qtotal= 2324 Ho,

To

Hi , Ti

Page 6: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

Double Pane Glass

RaL=91.37 ΔT RaLmax = 1307 1307 < 1708 Convection between

planes is negligible. Transmissivity: .9 Reflectivity: .1 h = 6 W/m2

qconv+cond= 168 W qrad= 1522 W qtotal= 1690 W

Ho, To

Hi , Ti

Page 7: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

Double Pane Glass with Coating Reflective glass

Reflectivity: .28 Transmissivity: .72

Heat transfer from convection and conduction stays the same.

qconv+cond= 168 W qrad= 1217 W qtotal= 1385 W

Hi , Ti

Ho, To

Page 8: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

Air Conditioning Cost

Single Pane: $122.07 Double Pane: $148.09 Coated Double Pane: $216.12 $.08/KWhr COP = 3.4 Summer Savings: $94.05 Coating: $36/Window Estimate: $216 to upgrade, 2.5 Summers

to recover the savings

Page 9: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

Presented By:

Nathan Honka Dallin Shaw Jenny Pate

Page 10: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

Appendix A: Radiation Data

Page 11: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

Appendix B: Equations

Inside Convection Coefficient

Thermal Resistances

Page 12: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

Appendix B: Equations

qconv,i on inner surface:

qcond through window:

qconv,o = qcond = qconv,i

Could not solve that system so we assumed h=6W/m2 to determine qconv,i and qconv,o.

Page 13: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

Appendix C: Spreadsheet Solution

Page 14: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

Appendix C: Spreadsheet Solution

Page 15: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

Appendix C: Spreadsheet Solution

Page 16: HEAT TRANSFER TO A SUNROOM the affect of window type on heat transfer

Sources

Incident Solar Radiation Values: http://geology.utah.gov/sep/renewable_energy/solar/images/data_tables/slcbld.jpg