Thermal losses through single glazing

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Discussion Overview

The discussion revolves around the heat loss through single glazing, specifically comparing calculated U-factors derived from thermal conductivity formulas with those reported on various websites. Participants explore the implications of convective heat transfer and the impact of different materials on thermal performance in a winter garden setting.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant calculates a U-factor of 262.5 W/m².K for single glazing using thermal conductivity, while another cites a commonly accepted value of 5.7 W/m².K from websites.
  • Another participant suggests that the high calculated U-factor is incorrect due to the neglect of convective heat transfer effects on both sides of the glass.
  • A participant expresses confusion about the temperature difference and the role of convection in reducing heat loss, seeking clarification on the calculations and principles involved.
  • One participant explains that there are three thermal resistances in series: convection inside the room, conduction through the glass, and convection outside, and provides a formula to calculate the overall U-value.
  • Concerns are raised about the accuracy of the properties used in calculations, particularly regarding the thermal properties of air versus glass.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct U-factor for single glazing, with multiple competing views on the influence of convective heat transfer and the accuracy of the calculated values.

Contextual Notes

Participants note that the U-values for convection can vary significantly depending on the temperature difference, and the standard values used for comparison by different sources may not be explicitly stated.

lust
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Hello,
I have looked through various websites, which show single glazing heat losses (U-factor) to be 5.7 W/m^2.K.
But when I use thermal conductivity basic formulas, the yielded results are quite different:
k of glass is 1.05 W/m.K; L -> glass thickness is 4 mm = 0.004 m; so:
U = k/L = 1.05 / 0.004 = 262.5 W/m^2.K

I tried transparent vynil sheets 800 microns thick (vynil-crystal, used as wind shields) and it yields better results, at k = 0.19 for PVC, U factor is about 190 W/m^2.K.

This is for an outside "winter garden", which I "single glazed" with vinyl crystal. Currently I am not able to heat it up above 10 degrees celsius, the roof is polycarbonate multi-wall sheet, supposed U factor given from manufacturers 3.4 W/m^2.K. 50 m^2 of room area.

So, my main question is, what is the CORRECT heat loss from single glazing? The one from the internet or the one that I have calculated?
 
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Your result is wrong (too high) because you ignored the convective heat transfer between the glass and the air, on both sides.

If the room air temperature is say 20 degrees C and the outside air temperature is 0, the surface temperatures of the glass will be less than 20, and greater than 0. In fact if your number and the website are both "right", the glass surface temperatures are more like 10.2 and 9.8 degrees than 20 and 0.

I don't know if the website value is "right". An accurate value would depend on the wind speed outside the window, for example.

There is some information on convective heat transfoer from a flat plate to air here:
http://www.thermal-wizard.com/tmwiz/convect/natural/vp-isot/vp-isot.htm
 
Well, I've tried to understand what you've said, but I'm a non-physicist... Do I need to get the temperature difference in a different manner? I have filled the calculator you gave me with the following data:

specific heat: 840 J/kg.K
thermal expansion: 0.0000059 m/m.K
conductivity: 1.05 W/m.K
dynamic viscosity: 10 kg/m.s
density: 2800 kg/m^3
emissivity: 0

width: 1.0
height: 1.0
plate temperature: 15
ambient: 2

The results yielded 253 W as convective heat transfer, and 19 W/m^2.K for the coefficient;
I don't know for sure if this is the holy truth, and still need a more clear explanation on how convection can actually LOWER the heat loss.
Any further explanation I welcome :)
 
The numbers you supply are supposed to be the properties of air, not of the glass. The defailts are for air at 20 C which is probably near enough.

Basically you have three thermal resistances in series.

Convection between the air and glass inside the room
Conduction through the glass
Convection between the air and glass outside the room.

If you have the three "U" values, the overall "U" value is
$$\frac{1}{\frac{1}{U_1} + \frac{1}{U_2} + \frac{1}{U_3}}$$

So assuming your 19 W/m^2 K was right (it isn't, because the material propertires are wrong) the overall U value would be
1 / (1/19 + 1/262.5 + 1/19) = 9.2 W/m^2 K

Because the glass is a much better conductor (U = 262) than the convection between the glass and the air (U = 19), you can make the approximation that the temperature of both sides of the glass is mid way between the inside and outside air temperatures.

You will probably find the "U" values for the convection change a lot depending on the temperature difference. To compare with the glazing web site, you need to know what temperature difference they use as a standard value for comparing different types of glazing.
 

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