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SC 110 Gas Compression
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The Roots Blower This invention was the Grandfather of the screw compressor. It was a very successful commercial
product – still used today in automobiles. The Roots blower has the advantage of being rotary – not
stopping and starting, and could handle large volumes. Its limitation is compression ratio – try to get
too high a pressure on discharge and the undercompression in the blower will cause temperatures on
the rotors and casing to get high.
The Compressors Role The compressor controls the low side of the system – loading and unloading of the compressor
maintains the low
side pressures.
The compressor
adds energy to
the gas in the
form of pressure
and temperature
rise.
The high side
pressure that the
compressor
pushes the gas to
is determined by
the condensers.
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Compressor Terminology Positive Displacement – compressor that works by expanding and shrinking the compression chamber
Swept Volume – the capacity of a compressor in volume of gas taken in.
Volume Ratio – Suction volume divided by discharge volume
Compression Ratio – Discharge pressure divided by suction pressure
K factors and saturated pressures are available through the downloads in the class materials. You will
need to be able to look up pressures and K factors to determine volume ratio.
The Frick Family The FRICK Model number of the compressor is the compressors swept volume – in cubic meters per
hour divided by 10. The model number is the swept volume. (2) RXF-50 compressors are just about
equal to (1) RXF-101 unit in capacity.
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Compressor Performance What happens to a fully loaded compressor when you change either the suction or the discharge
pressure?
Suction Pressure First realize that suction pressures don’t change as much as discharge pressures can change. Suction
pressures vary small
amounts typically –
unless the system is
pulling down. So there is
not much
“thermodynamic”
change to the cycle
when suction pressure
changes. However, the
density of the gas does
change - and that
increases the mass flow
through the
compressor.
Raising suction pressure causes mass flow and brake horsepower to increase. However, the brake
horsepower only goes up a little – and the mass flow can go up a lot.
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Changing Discharge Pressure Higher discharge pressures result in higher
compression rations, increasing the brake
horsepower used by the compressor. Since
discharge pressure change a lot – they can have
a thermodynamic effect as well.
The effect discharge pressure has on
compression ratio is obvious. What is not
so obvious are the thermodynamic cycle
changes that occur.
Lowering discharge pressure moves the
condensed liquid to a lower energy state
(more left on the diagram) which is a good
thing for the refrigeration cycle. It
increases the refrigerating effect – the
amount of heat removal per pound of
refrigerant evaporated.
Lowering discharge pressure is an easy way
to increase system efficiency.
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Screw Compressors In a 4/6 rotor
combination, the
male rotor has 4
“points of
contact” with the
6 lobe female
rotor.
A screw
compressor
operating at fixed
speed will take in
a fixed volume of
gas.
The male lobes
sliding in the female flutes cause both the suction on the back side and compression of the gas in front
of the lobe. Suction to the screw compressor is continuous, without pulsation. Discharge from the
machine pulses 240 times per second at 60 Hz.
Unloading a Screw Compressor Changing rotational speed allows the flutes to fill up and exhaust more slowly – lowering the swept
volume of the compressor.
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The slide valve allows trapped gases to get back to suction without the compressor performing any work
on them.
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Volume Control
R717 Part Load - SV - 193mm vs VyperTM
0
20
40
60
80
100
120
0 20 40 60 80 100
% of Full Load Capacity
% o
f F
ull
Lo
ad
BH
P
2.5CR
3CR
6CR
10CR
19CR
Vyper
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Economization The economizer increases system efficiency by removing flash gas at a higher than main suction level.
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A caution with economized compressors using slide valves for unloading. The slide valve will quickly
(80%+-) uncover the economizer port – exposing it to main suction pressures. This defeats the energy
advantage of the economizer port. Solenoids are often put on economizer lines to shut them off when
operating at low slide valve conditions.
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Table 1. k Values (Average Specific Heats) k values for commonly used refrigerants and gases are as follows:
Refrigerant k-value 1/k value Refrigerant k-value 1/k
value
R-11 1.110 .9009 R-12 1.120 .8929
R-13 1.130 .8850 R-13b1 1.130 .8850
R-14 1.150 .8696 R-23 1.180 .8475
R-50 1.290 .7752 R-113 1.070 .9346
R-114 1.070 .9346 R-134a 1.100 .9090
R-142b 1.110 .9009 R-170 1.170 .8547
R-218 1.060 .9434 R-401a 1.130 .8850
R-402a 1.110 .9009 R-404a 1.100 .9090
R-410a 1.150 .8696 R-500 1.120 .8929
R-502 1.135 .8811 R-503 1.150 .8696
R-507 1.100 .9090 R-508 1.120 .8929
R-508b 1.120 .8929 R-600 1.090 .9174
R-600a 1.090 .9174 R-717 1.300 .7692
R-718 1.330 .7519 R-728 1.400 .7143
R-729 1.400 .7143 R-771 1.132 .8834
R-1150 1.220 .8197 R-1270 1.145 .8734
R-22 1.170 .8547 R-290 1.120 .8929
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Using the XY Button on a Scientific Calculator Scientific calculators have XY buttons to allow for functions that involve powers and exponents. The XY
button allows the user to multiply a number by a selected power.
Using the XY Button
First input a number on the calculator, then push the XY button, then input the desired power. The
calculator will give the result of the number and the power.
Powers, Exponents and Bases
The number you input first, before clicking the XY key, is the base number. It is multiplied by the
exponent, or the number selected after clicking the XY key. The process of calculating base numbers by
exponents is known as "raising to the power." In these calculations, the exponent is called the "power."
Calculating Powers
In math, the exponent is shorthand for repeated multiplication of the base by itself. In XY calculations
the base represents the number and the exponent the amount of times the number will be multiplied by
itself. For example: If 4 is the base number and the exponent is 3, the occasion would be 4 x 4 x 4, or 64,
the equation can also be understood as 4 to the power of 3, also 64.
Why X and Y?
The symbols XY represent the common form of writing questions to do with calculating the power. For
example, "2²," means the base number or X is two and Y or the exponent is also 2. In mathematics,
unknown variables are represented by letters starting with x, y and z. The calculator is asking for the
user to input the X and Y in an equation about powers.
Example:
Calculate the Vi for an ammonia compressor operating at a CR of 3:1.
𝑉𝑖 = 𝐶𝑅1/𝑘
k for ammonia (R717) is 1.300
1/k = 1/1.3 = 0.7692
CR = 3
Solution
𝑉𝑖 = 30.7692 = 2.328
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Exercises 1. What is the compression ratio for an ammonia compressor with suction 20°F and 95°F
discharge (both saturated).
2. What is the volume ratio (Vi)?
3. What is the compression ratio for an R-507 Booster operating at -50°F suction and +10°F
discharge (saturated)?
4. What is the volume ratio (Vi)?
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Answers to Exercises 1. What is the compression ratio for an ammonia compressor with suction 20°F and 95°F discharge
(both saturated).
20°F = 48.21 psia 95°F = 195.8 psia CR = 195.8/48.21 = 4.064 CR
2. What is the volume ratio (Vi)?
= 4.064 0.7692 = 2.93 Vi
3. What is the compression ratio for an R-507 Booster operating at -50°F suction and +10°F
discharge (saturated)?
-50°F = 15.8 psia +10°F = 61 psia CR = 61/15.8 = 3.86 CR
4. What is the volume ratio (Vi)?
3.86 .9090 = 3.41 Vi