Solar Heating Technical Comments 1
Such people are theoretically correct, but are unaware of the practical engineering involved!.
Any engineering text, or any good heating text will confirm the following.
All "heat exchange" processes involve at least three major effects: (1) a surface film effect in the first fluid (house air, in this case); (2) the thermal conductivity through the material itself; and (3) a surface film effect in the second fluid/material (in our case, the possibly moist soil surrounding the buried tubes).
The standard engineering formula for this is (slightly simplified):
U is the desired rate of thermal transfer of the heat exchanger, in Btu/hr/sq.ft. hi is the heat-transfer coefficient for the first (incoming) film. ho is the heat-transfer coefficient for the second (outgoing) film. k is the thermal conductivity of the material of the exchanger.
We have forced air passing through our tubes, so hi is given by
the standard engineering formula:
If we blow around 2,000 cfm of air through the nine tubes of our normal configuration, Di = 0.33 ft; Cp = 0.241 Btu/lb/°F and G = 11,800 lb/hr/ft2, this calculates to around 13 Btu/hr/sq.ft./°F
For the other film coefficient, the condition of the soil, particularly its amount of moisture, tremendously affects the value. If the soil was dead dry sand (the worst possible situation) the coefficient could be on the scale of the incoming film value calculated above. However, all practical (deep) soils have substantial moisture content. That water enables excellent direct contact with the tube surfaces, creating very good heat transfer outward, by both conduction and convection. For most moist soils, ho is at least 100 or so. In a dry desert situation, this factor can be rather low.
Now, let's calculate U. If we used (relatively expensive) iron
pipe, we would have:
1/U = 1/13 + 1/1480 + 1/100, which gives U as 11.4 Btu/hr/sq.ft./°F.
If we use the (thinwall) PVC tubing we recommend, we would have:
1/U = 1/13 + 1/120 + 1/100, which gives U as 10.5 Btu/hr/sq.ft./°F.
Even if we use the (Sch 40) thickwall PVC tubing, we would have:
1/U = 1/13 + 1/48 + 1/100, which still gives U as 9.3 Btu/hr/sq.ft./°F.
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THIS is why we recommend the PVC pipe. The actual thermal disadvantage is far less than it might seem that it would be. Considering how very inexpensive PVC sewer pipes are, it makes a lot more sense to just add 5% more length of tubing to make up for this difference. Thinwall PVC is also much lighter and much easier to work with than the extremely heavy lengths of large diameter steel tubing or pipe. Anyone is certainly free to use steel pipe, especially if a huge supply of such pipe is inexpensive and available. But for most people, the thinwall PVC seems to be a nearly perfect choicd.
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