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244
CHAPTER XI
1951 Guide.
as the outside temperature. When relatively large louvers are installed, as is customary in the southern states, the attic temperature is often assumed as the average between inside and outside.
For a shorter, approximate method of calculating heat losses through attics, the combined ceiling and roof coefficient may be used, as described in Chapter 9.
TEMPERATURES IN UNHEATED SPACES
The heat loss from heated rooms into unheated rooms or spaces must be based on the estimated or assumed temperature in such unheated spaces. This temperature will lie in the range between the inside and. outside temperatures, depending on the relative areas of the surfaces ad jacent to the heated room and those exposed to the outside. If the re spective surface areas adjacent to the heated room and exposed to the outside are approximately the same, and if the coefficients of transmission are approximately equal, the temperature in the unheated space may be assumed to be the mean of the inside and outside design temperatures. If, .however, the surface areas and coefficients are unequal, the tempera ture in the unheated space should be estimated by means of Equation 2.
^ . t(AiUi 4- AtUt 4- AtUi 4- etc.) 4- t0(AoUa + Ab1/b 4* A,, f/0 4- etc.) A1U1 4- Aitfs 4* At IJ1 4- etc. 4- A*(7* 4- Ab T/b 4~ A.(7. 4- etc.
where
In = temperature in unheated space, Fahrenheit degrees. i ~ inside design temperature of heated room, Fahrenheit degrees.
to = outside design temperature, Fahrenheit degrees. A,, At, At, etc. =; areas of surface of unheated space adjacent to heated space,
square feet. ' A,, At,, An, etc. -- areas of surface of unheated space exposed to outside, square
feet.
V,, Ut, U1, etc. = coefficients of transmission of surfaces of At, At, A>, etc.
Vo, Vb, Ut, etc. = coefficients of transmission of surfaces A., Ab, A., etc.
Example . Calculate the temperature in an unheated space adjacent to a heated
room having surface areas (At, At, and At) in contact therewith of 100, 120, and 140 sqft and coefficients (Ut, Ut, and (/,) of0.15,0.20, and0.25,respectively. Thesurface areas of the unheated space exposed to the outside (A, and Ab) are respectively 100 and 140 sq ft, and the corresponding coefficients are 0.10 and 0.30. The sixth surface
is on the ground and is neglected in this example. Assume 1 = 70 and l,, -- ~ 10.
Solution. Substituting in Equation 2:
x
701(100 X 015) 4- (120 X 0.20) 4- (140 X 0-25)1 4- -101(100 X 0.10) 4- (140 X 0.30)1 (100 X 0.15) -b (120 X 0.20) -b (140 X 0.25) 4- (100 X 0.10) 4- (140 X 0.30)
4660
to ia;
The temperatures in unheated spaces having large glass areas and having two or more surfaces exposed to the outside (such as sleeping porches and ` sun parlors), generally are assumed to be the same as outside.
GROUND TEMPERATURES
Ground temperatures to be assumed for estimating basement heat `
losses usually will differ in the case of basement walls and floors, the
temperatures under the floors generally being higher than those,adjacent 1
to walls. Factors affecting these temperatures will be discussed.
1
1
Heating Load
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Temperatures Under Basement Floors
The temperature of the ground under basement floors9 is affected by heat sources within the basement and is not influenced by atmospheric condi tions. In computing losses through basement floors, the ground tempera tures'may be assumed to be the same as water temperatures at depths of 30 to 60 ft given in Fig. 3, Chapter 34. Test observations indicate that heat losses through basement floors frequently are over-estimated.10
Temperatures Adjacent to Basement Walls
Ground temperatures near the surface and under open spaces vary with the climate, the sec son of the year and the depth below the surface. The nearer the surface (during the cold weather) the lower will be the ground temperature. Frost will penetrate to a depth of over 4 ft in some localities if not protected by snow. A thick blanket of snow will result in a higher ground temperature near the surface. Therefore, in localities where the ground is covered with a heavy blanket of snow throughout the
Table 4. Below Grade Heat Losses for Basement Walls and Floors
Ground Water Temperatube*
Basement Floob Lossb Btu/Sq Ft
Below Grade Wall Losab Btu/Sq Ft
40 .
3.0 .
6.0
50 2.0 4.0
60 1.0 2.0
* See Fig. 3, Chapter 34. b Based oo basement temperature of 70 F and (T of 0.10.
winter, the ground temperatures near the surface will be higher than when little, or no snow is present.
Complete data on ground temperatures adjacent to buildings are not available, but since the recommended transmission coefficient for base ment walls in contact with the soil is only 0.10, any reasonable, assumed ground temperature will not materially, affect the calculated heat loss.
BASEMENT TEMPERATURES AND HEAT LOSS
The allowance to be made for basement heat loss depends on whether the basement is to be heated or not.
If the basement is healed to a specified temperature, the heat loss should be calculated in the usual manner, based on the proper wall and floor co efficients (see Chapter 9) and the outside air and ground temperatures. Heat loss through windows and walls above grade should be based on out side temperatures and the proper air-to-air coefficients. Heat loss through basement walls below grade should be based on the .floor and wall coeffi cients for surfaces in contact with the soil, and on the proper ground temperature.
The heat loss values for below grade basement walls and floors given in Table 4 are sufficiently precise for general practice.
If a basement is completely below grade and is not heated, the tem perature in the basement normally will range between that in the rooms above and the ground temperature. Basement windows will, of course, lower the basement temperature when it is cold outside and heat given off by the heating plant will increase the basement temperature. In any case, the exact basement temperature is indeterminate if the basement is not heated. In general it is found that the transient heat from the heating