(ii) For the wet conditions, the average heat transfer coefficient h is given by
0.69
U∞Dh
k
h = 0.231 a
= 50.36 W/m2 K .
ν
a
Dh
The Biot number for the wet conditions is 0.83.
Reading Figure 14c for θ at ξ = 1 (fin tip) on the curve for Tfb = 0C, we have
Ta - Tft
θt =
= 0.72
Ta - Tfb
Tft = Ta - 0.72 (Ta - Tfb ) = 7 oC .
or
Bi = (0.83)1/2 = 0.91, so that Figure 15a for Ta = 25C gives
For
qwt
= 1.45
qd
or
qwt = 1.45 qd = 159.8 W.
Reading the curve for Ta = 25C in Figure 15c, the ratio qws/qwt for
Bi = 0.91 is
qws
= 0.63
qwt
or
qws = 100.7 W.
The latent heat transfer is 59.1 W.
Experimental studies
Experimental studies of finned coiled heat exchangers have been carried out by several
workers including Bryan (1962), Bettanini (1970), Yoshi et al. (1971) and Guillory and
McQuiston (1973). These studies have confirmed that the performance of finned coils is
significantly reduced when dehumidification occurs. This reduction is the consequence of
lower fin efficiency for wet conditions.
Kazeminejad (1987) and Coney et al. (1989b) conducted an experimental study to inves-
tigate the performance of a vertical rectangular fin (Fig. 13) when moist air in turbulent
flow dehumidifies on the surface of the fin. The study revealed that the wet fin surface
temperature increases with increase in free stream velocity, relative humidity and dry
bulb temperature. The increase in wet fin surface temperature also occurs when the fin
base temperature is decreased. These observations confirm the theoretical predictions
shown in Figure 14. The study also noted that smooth and clean surface copper fins
promote dropwise condensation rather than filmwise condensation. Although the effect
of mass transfer on the heat transfer coefficient was small, the fin efficiency was markedly
reduced under wet conditions. Another interesting conclusion was that the shape of the
leading edge of the fin affected the heat and fluid flow. The heat transfer to the fin was
higher when the leading edge of the fin was blunt (with attendant flow separation and
reattachment) than when the leading edge was elliptical.
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