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CHAPTER 35
1950-Guide
Afa = logarithmic mean temperature difference between air ana coil surface 1
= : ti-l,-
fa fa
log. tt
fa
If Equation 5 is combined with another equation expressing sensible heat transfer in terms of mass velocity and temperature difference, the variables may be arranged in the following form (which is useful for the solution of dehumidification problems and for the determination of /. from
test data): "
f0AN(ti fa) = 0.243G(fa - fa)
h -fa
fa-fa
or,
foAN = fi - i, 0.243G = S'fa -fa
(6)
iwhere
0.243 = specific heat of humid air, Btu per (pound) (Fahrenheit degree). G = air mass velocity, pounds per (hour) (square foot of coil face area).
An examination of Fig. 12 will reveal that when t, is at the dew-point of the entering air:
(l -- ( t (dpi fa t ( ~" (dpi
and when t, is below theldew-point
-rfa --fa fa
(dpi
fa -- fa fa -- (dps .
.
, :
Therefore, Equation: 6 may be written in'its most useful form as :;
h.AN .
(l* (dpi
fa-- (.
0.243G
'
;log.
fa
--
(dpS
log,
fa-fa
W
where;
fa = minimum dry-bulb possible without dehumidification, Fahrenheit degrees ;
(dpi = dew-point of air entering coil, Fahrenheit degrees.' ' _'[
'*
(dps = dew-pbint of air leaving coil, Fahrenheit degrees:.
This equation'may be used` ttf establish a line; as A-2-3, foragivencoil if /0 is known for the coil, or it may be used to-determine /:from test'data for the purpose of rating coils. The use of this equation for coil selection is illustrated in Example I at the end of the- chapter. Equation 7 is also important as a means of determining the external film coefficient.
External Film .Coefficient
.'
While formulas have been developed expressing the film' coefficient /,, for air passing parallel to a plane surface, they, cannot be used directly for fins on tubes'because of air turbulence, and because of the temperature gradient
Air Heating and Cooling Coils ' /.
5f^53
prevalent from the edge of a fin to its center. It is therefore necessary-;to
make tests to evaluate the combined term rjf0. The term, rjf0, will be
written merely jf0'in this ;discUssiomas'there is ho necessity for^separately
evaluating 17, and because values of /,, are usually applied only to the partic
ular coils for which,tests are made. T
i
The air side coefficient,/,, of a coil of particular dimensions is an expon ential function of the mass velocity of the air:
where
fo -- Z G"
(8)
;
= film coefficient of heat transfer, Btu per (hour)'(Square foot external
.
surface) (Fahrenheit degree mean temperature difference between air and average surfaco temperature).
G = air mass velocity, pounds per (hour) (square foot of coil face area).'
Z and n -- constants which depend upon, both air turbulence and surface arrange ment.
Evaluation of constants Z and n may be accomplished through the Use
of test data in Equation 7 which gives values of A. directly from the results of any wet coil test. If calculated in this manner, is plotted against values of G which prevailed during the tests a straight line should result
on logarithmic coordinates. The slope of this line is the value of n. The value of Z mayThen be determined by direct substitution in Equation 8.
- For finned coils of different designs, values of Z and n are extremely vari
able, depending on the particulardesign and arrangement of the coil surface.
Therefore, it is desirable that these constants be:determined directly from
test data for each type of coil surface.
vs
Internal.Film Coefficient
The internal film coefficient,/ whichappears in Equation 3, is evaluated in various ways, depending upon the nature of the fluid, and'whether the fluid is changing state.
When evaporating refrigerants are used in tubes, the temperature of the
fluid is fairly constant, being affected principally by pressure drop through
-'the tubes, by superheat of the evaporated refrigerant, and.by the presence
of oil in solution. To obtain maximum coil capacity it is necessary to keep
the pressure drop through the tubes at-a minimum, toikeep the superheat
as low as possible without carrying liquid back to the compressor, and to
arrange for good separation and return of oil to the compressor. Another
important factor is the removal of gas to keep the tube surface flooded with
liquids as mUch as possible. -The internal: film, coefficient is markedly in-
i.creased by heavy heatdoads, because.the increased turbulence- and - gas
velocity cause goodicontact of the liquid with the tubes. Values of /
usually lie between 160 and 450. For, rating of, dehumidifying coils, satis
factory results are obtainable by first determining the average external sur-
l/ace temperature from Equation 7, and1 then using .the difference between
..the extemal . film temperature, and the refrigerant ;for evaluating / in
Equation 9.
. .. ' ' \ . .
h = AN' R (tm :Q
(9)