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American Society of Heating and Ventilating Engineers Guide, 1935
it is possible to estimate these variables with a considerable degree of accuracy for any climate or construction.
Assume that a mean radiant temperature of 65 F is desired. Talkie 1 shows that with all the walls at this temperature, and with an emissivity
of 0.95, the gross heat emission is 124 Btu per square foot per hour', fThe total emission of radiation into the room from that surface would there
fore be A X 124, where A is the total inside area of the room. This i?<the
desired emission.
If the whole area be divided into a number of different parts which'are
each at a uniform temperature--of, 02, as,:--and each is multiplied by the value of the heat emission corresponding to that temperature, and if all
these products are added together, their sum will represent the total , actual emission of radiation into the room at these temperatures'without _.
the aid of any hot surface.
The difference between the desired emission and the actual emission represents the additional heat which must be supplied by the hot surface. The temperature of the proposed hot surface must then be selected, and 1
its emission per square foot at that temperature determined from Table 1. This emission is divided into the additional amount of heat needed, ad
justed for the fact that the heating units will shield the walls behind them, and the quotient obtained will be the area of the required heating
surface.
It is evident that this method of calculation is approximate, and depends for its accuracy on a correct estimate of the ultimate surface
temperatures attained by the actual wall surfaces.
It is necessary also to calculate how much heat will be given off by the
same surfaces by convection, and thereby to determine whethe^ this amount of convected heat will warm entering ventilating air to the tem perature maintained. If it will not, additional convection surfaces must
be introduced to make up the deficiency.
MEASUREMENT OF RADIANT HEATING
Convection heating, having as its object the raising of the air tempera
ture to a specified degree, must be measured by thermometric methods
which indicate essentially the air temperature, and not the rate of heat
loss from the human body. Radiant heating, having as its object the
control of the rate of heat loss from the human body, can be measured
only by methods which basically are calorimetric, that is, which measure
directly the rate of heat loss from an object maintained at the temperature
of the body, irrespective of air temperature.
.
The apparatus for this purpose consists essentially of a hollow; sphere,
or cylinder, containing a fluid which can be maintained accurately at 83 F
(the accepted mean surface temperature of the human body), with an
accurate means of measuring the rate of heat supply required to maintain
the temperature at that exact point. The latter measurement can be
made with sufficient accuracy by electrical methods. Although a BET of
72 F is desirable, the mean radiant and air temperatures may both vary,
provided the heat loss by radiation and convection from a surface at
83 F is maintained at the rate of 15.4 Btu per square fdot per hour,
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Chapter 38^--Radiant Heating
which corresponds to ^
= 4.5 watts per square foot of exposed
surface.
This instrument, the eupatheoscope, can readily be adapted as a thermo stat by electrical control to shut off or turn on heat when the critical temperature of 83 F in the vessel is increased or decreased. A modifi cation of the instrument is called the eupatheostat.
Another instrument for maintaining comfort conditions is at present available only in a model adapted to British practice as it is designed for a temperature of 75 F. It consists of a blackened copper sphere of approxi mately 6 in. diameter in which is housed a cylindrical sump containing a volatile liquid. In operation, a small electric heating coil drawing about 5 watts creates in the sphere a vapor pressure which is constant as long as the heat losses from the sphere are standard. If the temperature of the air or the MRT becomes too high for comfort, a greater pressure is created, owing to a smaller loss of heat from the sphere. This increase of pressure acts on a diaphragm and shuts off the supply of heat to the room.
. For testing work, the globe thermometer is a very useful instrument. It consists of an ordinary mercury thermometer, with its bulb placed in the center of a sphere from 6 in. to 9 in. in diameter, usually made of thin copper and painted black. The temperature thus recorded is termed the radiation-convection temperature.
EXAMPLE
Example l. The surface areas, temperatures, and emissions for a room having a volume of 5760 cu ft are given in Table 2. The figures for temperatures are fairly representative of American practice with well-built waUs, and are based on an emissivity of 0.95 which approximates that of most paints and building materials.
Table 2. Surface Areas, Temperatures, and Emissions for a .Room of 5760 Cu Ft
External Wall.................. . Glass.................................... Inner Wall.......................... Ceiling.......... ..................... Floor._.................................
Total............................
Area
Sq Ft .
297 279 480 480 480
Assumed Surface Temperature (Deo Fahr)
50 45 55 55 55
2016
Heat Emission
S(Btu Per q Ft
per Hour)
110.6 106.5 115.1 115.1 115.1
Total Heat Emission from Area
(Btu per Hour) .
32,850 ' 29,710
55,250 55,250 55,250
228,310
228 310 The mean radiant temperature of the room is 201Q ~ 113.2. Btu per square foot
per hour which, as seen from Table 1, corresponds to an MRT. of 53 F for an average emissivity of 0.95.
For an average individual having a body surface of 19.5 sq ft, under conditions of comfort with a body surface temperature of 83 F, the heat given off by radiation may be determined by means of Equation 1 as 217 Btu per hour, or 11.1 Btu per square foot per hour. This corresponds to an environmental emission of 142 -- 11.1 = 130.9 Btu per square foot per hour, and, according to Table 1, to an MRT of 72 F.
If this body be placed in the room described, it will lose heat at the rate of 19.5 (142 -- 113.2) = 562 Btu per hour. This loss is 345 Btu per hour, or 17.7 Btu.per square foot per ho.ur, more than the rate of heat loss for comfort, which is only 19.5 (142 -- 130.9) = 217 Btu per hour.
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