Document 5nEp04JGJ0rmEByq9DpKdkdR
522
CHAPTER 23
1950.Guide
-. The two inside walls are assumed to separate rooms, which are filled with 68 F air,'
so that both surfaces of each wall are in close contact with 68 F air. The surface tem peratures of these walls, therefore, cannot be lower than 68 F, and must' actually be higher than 68 F because, in addition to their contact with 68 F air and their contact
with the heated ceiling, they, are exposed to the heat radiation from the ceiling.
. In the following example, 70 F will be selected as the mean surface tempera ture of the inside walls.
For the two outside walls, the mean inside surface temperature can be calculated with fair accuracy. For a heat transmission coefficient of 0.25 and a temperature difference of 68 deg, heat flows through the wall at the rate of 17 Btuh per square foot.
"Note: The value of U, the overall coefficient of heat transmission, cannot exceed 1.29 if the inside and outside film coefficients are 1.65 and 6.0, respectively (e-S- -jj = j-gg + j a 07731' Therefore, U 1.29 maximum).
If the indoor film coefficient is 1.65, the temperature difference, indoor air to inside
wall surface, is 17/1.65 or 10 deg, and the wall surface temperature is 68 --10, or 58 F.
This value may be taken directly from Fig. 8. However, the film coefficient.1.65 was
determined to represent the sum of the heat flow into the wall, by conduction from
the air in contact with the wall, and by radiation from the warmer surfaces seen,by'
the wall surface. In a panel-heated room, the rate of heat flow into the outside w;all
by radiation is greater than it is in a radiator-heated room; consequently,' the film
coefficient is higher, and the temperature difference, air to wall surface, is smaller,
and therefore, the wall surface temperature is higher than the calculated 58 F.- It is
impossible to determine accurately how much higher than 58 F the temperature of
the wall.surface will be until the corresponding indoor air film coefficient has been
determined accurately.
. ' .'
in the following example, 60 F will be selected as the probable mean inside surface temperature of the outside walls.
i The probable mean inside surface temperatures of the floor and the glass may. be
determined" by calculations and by reasoning similar to that employed to "determine
the inside surface temperature of the outside walls.
a'
Panel Heating and Radiant Heating
523.
Sub?ace
TableI. Calculated Heat Loss or Room
Abba Sq Ft
V
Calculation
Infiltration.......................
360 216
480
480 480
0.25 1.13
_
0.10
360 x 0.25 x 68.. ................
216 x 1.13 x 68 .
........
480 x 0710 x 38............................. 5,760 cu ft x 1:50 x 68 x 0.018
Total........................... ...........
6,120 16^597
_
1,824 10)576
35,117
In the following example, SO F and 70 F will be selected as the probable inside surface temperatures of the glass and floor, respectively..
4. Determine the heat loss of the room.
In the following example, the heat loss calculation will be based oh an outdoor air temperature of 0 F. Since the functioning of a panel-heating system differs very little from that of a radiator-type heating system, the heat loss shown in Table 1 may be calculated according to Chapter 11.
The heat loss through the outside walls and through the glass is probably a little greater than calculated, because the calculation is based on an indoor air film coef ficient of 1.65 Btuh, whereas, for a panel-heated room, this coefficient is a little higher, but the difference is probably not sufficiently large to be considered in design calcu lations for a heating system.
5. Estimate the Mean Radiant Temperature.
The Mean Radiant Temperature of the surfaces enclosing the room, but not includ ing the heating panels, may be estimated as follows:
SUBTACB
Interior Walls......................;............ Exterior Walls.................................. Glass.................................................... Floor....................... ......................... :.
Abba
480 360 216 480
1,536
FahbDeo
' 70 60
- 30 .. - ,70.
Product
33,600 21,600
6,480 33,600
95,280
The sum of these products divided by the sum of the surface areas is: 95/280/1,536 or 62.03 F, the required mean surface temperature.
In the following example, 68 F will be selected as the MRT of walls, glass andfloors.
6. Determine the temperature of the ceiling panel.
Determine the temperature of the ceiling so that the ceiling panel will deliver heat
to the room at a rate equal to the rate at which the room is calculated to lose heat,
namely, 35,117 Btuh.
. '.
When a room is heated by means of a panel, air convection currents are developed
in the room similar to those which are developed when the room is heated by .means
of a free-standing radiator.. Consequently, the heating panel delivers heat to the
room partly by radiation and partly by. convection. The proportion,of the total heat
flow delivered by convection varies with the location of the heating'panel',' with the
height of the ceiling, and with the size, number, and location of pieces of furniture
and other articles which interfere with the'free now of air along the floor and. along
the walls. It is generally sufficiently .accurate , to assume that a'ceiling panel .will
deliver 70 per cent of its heat by radiation and 30 per cent by convection; a floor panel
55 per cent by radiation and 45 per cent by convection; and a wall" panel 65 per cent
by radiation and 35 pe^ cent by convection. .
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