Document ByerNj8dLrmVKqVv4zz4GXMNE
164 - 1
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CHAPTER 7
1946 Guide
ha Ai N. 0.243 Gi
log<
h
--
-
^dpi.
/dp*
=.iog<
102-80 . 1.8
=
loge 12.22
= 2.5
Then substituting values for ha, A\, and Gu N may be found as follows:
10.7 X .15N 0.243 X 1740
=
2.5 from which, N
--
6.58
(2) This establishes the maximum whole number of coil rows that can be used as 6 and
it is now possible to determine the actual location of the exit air conditions from Equation 7 by solving for the actual value of tt -- /dpa for a 6 row coil.
10.7. X 15 X 6 , _ . 102 - 80 0.243 X 1740 -loge h - hpi
2.275
This establishes values of 9.78 for j----- = R and 2.25 for U -- /dp2-
** " <dpa
(3) Next, the exit air condition at 57.3 F dry-bulb and 56 F wet-bulb as shown at B, is found by locating a point on the load ratio line at a horizontal distance of 2.25 dry-bulb degrees from the saturation curve.
(4) The surface temperature may now be found from Equation 7 which may also be written as:
, . Bk - tr -ta~ TT^T
where
...
g -- ^ ~ ^dpi
*3 ^dp2
k
-
9.78
X
57.3 8.78
-
102
52.3
(5) The total coil load may be calculated from the enthalpy difference across the coil and the air quantity using the weight of dry air instead of the weight of the mixture.
$t = Ga (hi -- ht) = 1700 (49.24 -- 23.77) -- 43,200 Btu per (hour) (square foot of face area)
where Ga = Weight of dry air per (hour) (square foot of coil face area). hi ~ enthalpy of air vapor mixture entering coil, Btu per pound of dry air. fh = enthalpy of air vapor mixture leaving coil, Btu per pound of dry air.
(6) The refrigerant temperature may be found from Equation 9
43,200
15 X 6 X
325 15
22.1
Therefore, h = (52.3 - 22.1) = 30.2.
Thus a coil 6. rows deep operating at a refrigerant temperature of 30.2 F and a face
velocity of 400 fpm is required and it will carry a total load of 43,200 Btu per (hour)
(square foot of face area). The air conditions leaving the coil are too low for the con
ditions of the problem and therefore it is necessary to by-pass air at the entering condition
to obtain the desired, result of 80.5 F dry-bulb and 73 F wet-bulb.
. .,
Although the preceding solution is satisfactory, it may be more desirable in some
cases to use a higher refrigerant temperature-and employ reheat to obtain the desired load ratio. Such a solution is shown in Fig. 15. In this case the coil load ratio line intersects the saturation curve and therefore a coil of any depth may be selected.
If a coil depth of 6 rows is maintained, the exit air conditions for the coil are indicated
at point B Fig. 15 as 72i3 F dry-bulb and 70.8 F wet-bulb and the surface temperature
wili.be:
`"
, 9.78 X 72.3 - 102 .. ,, h =------- "887788--------- = 690
Heat-Transfer Surface Coils '
165
Fig. 15.. Psychrometric Layout for Coil Selection
The coil load will be:
gt = 1700 (49.24 -- 34.66) = 24,800 Btu per (hour) (square foot of face area) and the refrigerant temperature will be found from Equation 9:
24,800 15 X'6 X ^
15
(ts - h) = 12.7
Therefore, tr = 69.0 - 12.7 = 56.3.
Thus, for the case where, reheat is used, a coil 6 rows deep operating at a refrigerant
temperature of 56.3 F is required. The total coil load will be 24,800 Btu per (hour)
(square foot of face area) but the actual effective load will be less by the amount of
reheat required. Therefore, for a given load, a larger coil and more refrigerating capacity
are required when reheat is used.
,'
LETTER SYMBOLS USED IN CHAPTER
t) = fin efficiency.
A = external area of coil^ square feet per (square foot of coil face area) (row
of-coil depth).
'
B = ~ *dpl
ti -- tdpt
D -- internal diameter of tube, inches.
G '= air mass velocity, pounds per (hour) (square foot of coil face area).
Ga = dry air mass velocity, pounds dry air per (hour) (square foot of coil face
area).
'.
hi = enthalpy of air-vapor mixture entering coil, Btu per pound of dry air.
hi -- enthalpy of air-vapor mixture leaving coil, Btu per pound, of dry air. , .
fca = film coefficient of heat transfer between air and external coil .surface, Btu
per (hour) (square foot external surface) (Fahrenheit degree mean tem
perature difference between air and coil). .
_