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Applied Thermodynamics

Module-6

Reciprocating Compressors

Question 1: What is compressor? Explain its types.

Answer: A compressor is a mechanical device that increases the pressure of a gas by reducing its volume. (The fluid here is generally air since liquids are theoretically incompressible).

Classification of compressor:

There are mainly two types of Compressors-

Reciprocating compressor

Single stage

Multi stage

2. Rotary compressor

Question 2: What is Reciprocating compressor? Explain its types.

Answer: In a reciprocating compressor, a volume of gas is drawn into a cylinder; it is trapped, and compressed by piston and then discharged into the discharge line. The cylinder valves control the flow of gas through the cylinder and these valves act as check valves.

Reciprocating compressors can be Single acting or double acting.

Reciprocating compressor types:

Single–Stage Reciprocating Compressor:

Compression is done in single stage or by single cylinder only and it is used for generation of low-pressure air.

2. Double–stage Reciprocating Compressor:

It is a compressor that produces highly pressurized air and mostly it is used nowadays in heavy duty mechanical devices.

Question 3: A single stage double acting air compressor of 150KW power takes air in at 16 bar & delivers at 6 bar. The compression follows the law PV1.35 = C. the compressor runs at 160rpm with average piston speed of 150 m/min. Determine the size of the cylinder.

Given data

Power (P) = 150KW

Piston speed (2lN) = 150m /min

Speed (N) = 160rpm 160/6 0 = 2.7rps

Pressure (P1) = 1bar = 100 KN/m2

Pressure (P2) = 6bar = 600 KN/m2

PV1.35 = C, n = 1.35

Hence it is a polytropic process.

Answer:

It is given that

2lN = 2.5m/s

Since

We know that

Power (P)=2×W×N (for double acting) For polytropic process, work done (W) is

150 = 2 × 82.899 × 2.7

= 0.3350

d = 0.57M

Question 4: What is principle single stage reciprocating compressor? Explain with example.

Answer: Working Principle:

•Here, pressure is increased by means of variation in the volume of cylinder obtained by a moving piston.

Construction:

•Single stage single acting air compressor consists of a piston, which reciprocates inside a cylinder having connecting rod and crank mechanism.

•There are inlet and delivery valves mounted in the head of cylinder.

•The inlet and delivery valves are of pressure differential type i.e.; they operate as a result of pressure difference across the valves.

Figure 1: Single stage reciprocating compressor

Working:

Working of single stage reciprocating air compressor is completed in two strokes.

a). Suction Stroke:

When the piston moves in the downward direction, from (T.D.C.) to (B.D.C), the air compressed in the previous compressions and entrapped in the clearance space begins to expand.

Due to expansion, the pressure of air inside the cylinder starts to decrease.

After some travel of piston from T.D.C. towards B.D.C, the pressure of air inside the cylinder falls below the atmospheric pressure.

Thus, due to pressure difference, the inlet valve gets opened. Now, the atmospheric air is sucked into the cylinder.

b). Compression Stroke:

When the piston starts moving from BDC to TDC, the pressure of sucked air inside the cylinder begins to increase.

When the pressure of air inside the cylinder increases above the atmospheric pressure, the inlet valve gets closed.

Further movement of piston towards TDC causes compression of air sucked during suction stroke.

Due to this, pressure of air inside the cylinder goes on increasing.

As soon as, the pressure reaches up to desired discharge pressure, the delivery valve gets opened and compressed air is delivered into the receiver.

Now again the piston starts moving from TDC to BDC, and the cycle is repeated again and again.

Question 5: Explain two stage reciprocating compressor with diagram.

Answer: Two stage reciprocating compressor:

Figure 2: Two stage reciprocating compressor

Fig shows schematic arrangement of two stage reciprocating air compressor with water-cooled intercooler.

It consists of a low-pressure cylinder & a high pressure cylinder.

Fresh air is sucked from the atmosphere in low pressure cylinder during suction stroke at intake pressure P1& temperature T1.

After compression in low pressure cylinder air is delivered to the intercooler at pressure P2& temperature T2.

In intercooler air is cooled to temperature T3 at constant pressure P2.

After intercooling air is admitted to high pressure cylinder, where it is compressed to pressure P3& temperature T3.

Question 6: What are the effects of intercooling on Brayton cycle?

Answer: Effects of intercooling on Brayton cycle:

Inter cooling means the removal of heat from compressed air between the stages of compression. It is known that the work input in compression is minimum if the compression process is isothermal.

In order to achieve isothermal process compression is divided in number of stages and air is cooled between the stages with help of intercooler.

The greater the number of stages of compression with intercooling between each stage, the closer will be the approximation to an isothermal process.

The intercooler is a heat exchanger in which compressed air is cooled in order to reduce volume and increase density.

Figure 3: Intercooling on Brayton cycle

For ideal cycle with intercooling

Wc = C p (T 2a -T 1) + (T 2 -T 2b)

Heat supplied

Qs = C p (T 3 -T 2)

Work by turbine: W t =C p (T 3 -T 4)

Thermal efficiency of gas turbine cycle with intercooling:

Question 7: A single stage single acting reciprocating air compressor is required to handle 30m3 of free air per hour measured at 1 bar . the delivery pressure is 6.5 bar and the s peed is 450 r.p.m allowing volumetric efficiency of 75%;an isothermal efficiency of 76% and mechanical efficiency of 80% Find the indicated mean effective pressure and the power required the compressor

Answer: Indicated Mean Effective Pressure

We know that isothermal work done

And Indicated work done = Isothermal work done/ Isothermal efficiency

We know that swept volume of the piston

Indicated mean effective pressure Indicated work done/ Swept volume

The power required to drive the compressor

We know that work done by the compressor =

Therefore the power required to drive the compressor

Question 8: Derive the expression for maximum and minimum work for multistage compressor:

Answer: Maximum work is saved in a two-stage reciprocating air compressor with perfect intercooling. Work required to be done by a two-stage reciprocating air-compressor with complete intercooling is given by-

If the intake pressure and delivery pressure are constant, then the least value of the intermediate or intercooler pressure may be obtained by differentiating the above equation with respect to intercooler pressure. At this value of intercooler pressure, the work required to drive the compressor is minimum.

Now considering (a constant)

For minimum work input to the compressor of a two stage air compressor, Pressure ratio in each stages are same,

Work required to be done by a two-stage reciprocating air-compressor with complete intercooling is given by-

Minimum power required for compression is given by-

Question 9: A two stages, single acting air compressor compresses air to 20bar. The air enters the L.P cylinder at 1bar and 27oc and leaves it at 4.7bar. The air enters the H.P. cylinder at 4.5bar and 27oc. the size of the L.P cylinder is 400mm diameter and 500mm stroke. The clearance volume In both cylinder is 4% of the respective stroke volume. The compressor runs at 200rpm, taking index of compression and expansion in the two cylinders as 1.3, estimate

1. The indicated power required to run the compressor; and

2. The heat rejected in the intercooler per minute.

Given, Pressure (P4)= 20bar, Pressure (P1) = 1bar = 1× 105 N/m2 Temperature (T1) = 27oC = 27+273 = 300K Pressure (P2) = 4.7bar, Pressure (P3) = 4.5bar, Temperature (T3) = 27oC = 27+273 = 300K Diameter (D1) = 400mm 0.4m Stroke (L1) = 5 00mm = 0.5m, K = 0.04, N = 200rpm ; n = 1.3

Answer: We know the swept volume of the L.P cylinder

And volumetric efficiency

Volume of air sucked by air pressure compressor

And volume of air sucked by H.P compressor

We know that indicated work done by L.P compressor,

And indicated work done by H.P compressor,

Total indicated work done by the compressor,

W = WL + WH = 2123.3 + 2034 .5 = 4157.8 KJ/min

Indicated power required to run the compressor= 4157.8 / 60 = 69.3KW

Question 10: Explain different parts and principle of operation of reciprocating compressors with diagram.

Answer: Different parts of reciprocating compressor:

Figure 4: Reciprocating compressor

Suction valve.

Suction Chamber.

Piston & Piston Rod.

Cylinder.

Discharge valve.

Discharge Chamber.

Principle of Operation:

Figure 5: Operation of Reciprocating compressor

Figure 5 shows single-acting piston actions in the cylinder of a reciprocating compressor.

The piston is driven by a crank shaft via a connecting rod.

At the top of the cylinder are a suction valve and a discharge valve.

A reciprocating compressor usually has two, three, four, or six cylinders in it.

As the piston travels toward the bottom dead center, the volume of the cylinder increases and due to the pressure difference the suction valve is opened.

The pressure inside the cylinder is slightly less than suction line pressure. So, the volume of the gas starts increasing as the piston moves towards BDC.

So, the piston continues its motion towards BDC till the area above piston in the cylinder become full of fluid (gas) & then the suction valve gets closed.

Now when the crankshaft moves further and completes its revolution the piston also moves in opposite direction this time towards TDC.

Now, again due to the Pressure difference between the delivery line and inside of the cylinder the delivery valves open in the delivery stroke.

So, at point 3, the piston reaches the top dead center TDC.

At top dead center, as the piston comes to a complete stop prior to reversing direction, the pressure across the valve is equal.

So, the discharge valve is closed.

At point 2, the pressure inside the cylinder has become slightly greater than discharge line pressure.

This causes the valve opening allowing the gas to flow out of the cylinder.

The volume continues to decrease toward point 3, maintaining a sufficient pressure difference across the discharge valve to hold it open.

Now Again, as the piston moves towards BDC, the gas pressure inside the cylinder becomes less than the suction line pressure, so the suction valve opens again.

The cycle then starts over again.

The shape of the re-expansion line (Line 3-4) is dependent on the same compression exponent that determines the shape of the compression line.

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