Document OEzYXLYkX03grwBpBvK0xoXy1
American Society of Heating and Ventilating Engineers Guide, 1937
Example 1. The total sensible heat gain in a restaurant when held at 80 F is 199 73. Btu per hour. Assuming a 12 deg F temperature differential between the entering air'anS
the room temperatures, which is the same as assuming the dry-bulb temperature of th!
entering air to be 68 F, calculate the required air capacity of the system.
Solution.
n 199,736 X 55.2
.,
Q = ----- gQ-- ^2----- = 15.313 cfm = 1146 lb per minute.
*
If a system similar to the one shown in Fig. 1 is used, 1146 lb per minute will be the capacity of the dehumidifier as well as of the fan equipment.
Example S. If in addition to the 199,736 Btu per hour sensible heat load, the con ditioned space has a moisture gain of 384,000 grains per hour, calculate the apparatus dew point required to give maintained conditions of 80 F dry-bulb and 65 F wet-bulb with a corresponding 56 F dew point.
Solution. With 384,000 grains of moisture per hour to be picked up, the entering dew point temperature should be low enough so that the addition of this moisture will not increase the dew point above 56j^ F.
Grains per pound of air saturated at 56 (Table 6, Chapter 1)
Less: Grains per pound to be picked up.
F
11^'^^60*
Grains per pound allowable in entering air This corresponds to an apparatus dew-point temperature of 54.17 F.
68.0 5.6
l62.4
m
Fig. 4. Diagram of By-Pass Method
Example S. Illustration of the by-pass system. (See Fig. 4.) Assume the same data as for Example 2. Instead of passing all of the air through the dehumidifier for cooling and dehumidifying, a portion may be passed through and the balance be mixed with the conditioned air at the leaving end of the dehumidifier, the mixture being proportioned so that the resultant conditions will be those required to give proper conditions in the area considered.
Solution. The quantity of air to be dehumidified, the quantity to be by-passed, and the apparatus dew-point temperature may be approximately calculated as follows:
Let ' X -- percentage of air to be by-passed. Y = percentage of air to be passed through the dehumidifier. Id = apparatus dew-point temperature, degrees Fahrenheit.
The quantity X of 80 F air must mix with the quantity Y of dehumidified air to produce air with a resultant 68 F dry-bulb temperature. Also, X quantity of air at 56M F dew point must be mixed with Y quantity of dehumidified air to give a resultant dew-point temperature of the mixture of 54.17 F. It is assumed that the air passing through the dehumidifier is saturated.
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------- Qhapter 10--Central Systems for Cooling and Dehumidifying
Solving simultaneous equations,
80.0X + Yta = 68.00 56.5X + Ytd = 54.17 23.5X + 0 = 13.83
. '
(3) .. ('
X,, = 1--3--.-8-3---X----1--0-0- = 59 per cen,,t, a.ir b. y-passed..
23.0
Y = 100 -- X =41 per cent, afr passed through washer.
The second step is to determine the apparatus dew-point temperature. Substitute X in either Equation 3 or Equation 4, and solve for /a:
80 X 0.59 + <d X 0.41 = 68
^ = --041--
= t*le aPParatus dew point.
HEAT TO BE REMOVED BY COOLING AND DEHUMIDIFYING APPARATUS
Example 4. Assume the same data as for Example 3. If the amount of outside air, at 95 F dry-bulb and 75 F wet-bulb, required for ventilation has been found to be 169 lb per minute, determine the refrigeration capacity required.
Solution.. As the total weight of the air introduced per minute is 1146 lb, and 41 per cent of it goes through the dehumidifier, the total work to be done may be computed
as follows: Air passing through dehumidifier, 1146 X 0.41_............................. . 470 lb Less: Outside air for ventilation............................. ...................... .... 169 lb
Return air.........------- --------------------- ------ -.......................................... 301 lb
The refrigeration required for the return air is: Total heat per pound at 65 F--.................... ..... ........... ............ ..... 29.96 Btu Less: Total heat per pound at 51.2 F................................................ 20.92 Btu
Requirement for cooling 1 lb of return air.......................................... 9.04 Btu
301 lb X 9.04 Btu = 2721 Btu per minute required to cool the return air.
The refrigeration required for the outside air is: Total heat per pound of outside air............................................ -...... 38.46 Btu Less: Total heat per pound at 51.2 F...... ........ i------------ ........l----- - 20.92 Btu
Requirement to cool 1 lb of outside air............................................. - 17.54 Btu .
169 lb X 17.54 Btu = 2964 Btu per minute required to cool the outside air.
Thus, the total refrigeration required is: 2721 Btu + 2964 Btu = 5685 Btu per minute, which is equivalent to a load of 28.4 tons of refrigeration.
SIZE OF REHEATERS
A properly designed air-conditioning system will have reheaters .of sufficient capacity to heat the conditioned air from the apparatus dew point temperature to the inlet delivery temperature. If winter heating is to be accomplished, consult Chapter 9.
The following general formula may be used to determine the amount of heat necessary to reheat a given quantity of air:
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