Chapter 7 | 399
much money will be saved as a result of reducing the pressure of the
compressed air.
Solution It is observed that the compressor of a facility compresses the air
to much higher pressures than needed. The cost savings associated with
pressure reduction of the compressor are to be determined.
Assumptions 1 Air is an ideal gas. 2 Compression process is isentropic, and
thus nk1.4.
Analysis The fraction of energy saved as a result of reducing the pressure
setting of the compressor is
That is, reducing the pressure setting will reduce the energy consumed by the
compressor by about 6 percent. Then,
Therefore, reducing the pressure setting by 100 kPa will result in annual
savings of $720 in this case.
Cost savings 1 Current cost 2 freduction 1 $12,000>yr 21 0.06 2 $720/yr
1
1 885.6>85.6 21 1.4^1 2>1.4 1
1 985.6>85.6 21 1.4^1 2>1.4 1
0.060
freduction 1
1 P2,reduced>P 121 n^1 2>n 1
1 P 2 >P 121 n^1 2>n 1
There are also other ways to reduce the cost of compressed air in industrial
facilities. An obvious way is turning the compressor offduring nonproduc-
tion periods such as lunch hours, nights, and even weekends. A considerable
amount of power can be wasted during this stand-by mode. This is especially
the case for screw-type compressors since they consume up to 85 percent of
their rated power in this mode. The reciprocating compressors are not
immune from this deficiency, however, since they also must cycle on and off
because of the air leaks present in the compressed-air lines. The system can
be shut down manually during nonproduction periods to save energy, but
installing a timer (with manual override) is preferred to do this automatically
since it is human nature to put things off when the benefits are not obvious
or immediate.
The compressed air is sometimes cooled considerably below its dew
point in refrigerated dryersin order to condense and remove a large fraction
of the water vapor in the air as well as other noncondensable gases such as
oil vapors. The temperature of air rises considerably as it is compressed,
sometimes exceeding 250°C at compressor exit when compressed adiabati-
cally to just 700 kPa. Therefore, it is desirable to cool air after compression
in order to minimize the amount of power consumed by the refrigeration sys-
tem, just as it is desirable to let the hot food in a pan cool to the ambient
temperature before putting it into the refrigerator. The cooling can be done
by either ambient air or water, and the heat picked up by the cooling medium
can be used for space heating, feedwater heating, or process-related heating.
Compressors are commonly cooled directly by air or by circulating a liq-
uid such as oil or water through them in order to minimize the power con-
sumption. The heat picked up by the oil or water is usually rejected to the
Air
Cooling liquid
from compressor
Liquid-to-air
heat exchanger
Damper
(summer mode)
Damper
(winter mode)
Heated
air
Outside
Inside
facility
FIGURE 7–80
Waste heat from a compressor can be
used to heat a building in winter.
cen84959_ch07.qxd 4/19/05 10:59 AM Page 399