heat transfer to a sunroom the affect of window type on heat transfer
TRANSCRIPT
HEAT TRANSFER TO A SUNROOMthe 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?
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
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)
Single Pane Glass
ho,i = 6 W/m2
qconv+cond = 728 W qrad= 1606 W qtotal= 2324 Ho,
To
Hi , Ti
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
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
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
Presented By:
Nathan Honka Dallin Shaw Jenny Pate
Appendix A: Radiation Data
Appendix B: Equations
Inside Convection Coefficient
Thermal Resistances
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.
Appendix C: Spreadsheet Solution
Appendix C: Spreadsheet Solution
Appendix C: Spreadsheet Solution
Sources
Incident Solar Radiation Values: http://geology.utah.gov/sep/renewable_energy/solar/images/data_tables/slcbld.jpg