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Question

For reciprocating compressors, which of the following statements is INCORRECT regarding multistage compression over single stage compression?

The correct answer is

Considerable increase in leakage losses.

Reciprocating Compressor Multistage Compression Overview

Reciprocating compressors are machines designed to increase the pressure of a gas by reducing its volume. When a very high-pressure ratio is needed, it is often more efficient and practical to achieve the total compression in multiple stages rather than in a single stage. This process is known as multistage compression. In multistage compression, the gas is compressed sequentially in several cylinders, and typically, it is cooled between stages using intercoolers.

Multistage Compression: Analyzing Statements Over Single Stage

Multistage compression offers several distinct advantages compared to single-stage compression, particularly for achieving higher discharge pressures. Let's carefully evaluate each given statement to identify the one that is INCORRECT regarding multistage compression.

1. Mechanical Balance and Flywheel Requirement

  • Statement: Better mechanical balance and hence smaller flywheel requirement.
  • Analysis: In a reciprocating compressor, the piston's motion and the varying gas forces create fluctuating torque on the crankshaft. In multistage compression, the overall work and pressure rise are distributed across multiple cylinders that might be arranged to operate at different phases. This distribution helps in smoothing out the torque variations over a complete revolution, leading to a better mechanical balance for the compressor. With more balanced forces and reduced torque fluctuations, a smaller flywheel is needed to maintain a uniform rotational speed. Therefore, this statement is correct.

2. Leakage Losses in Multistage Compression

  • Statement: Considerable increase in leakage losses.
  • Analysis: This statement is generally incorrect. While a multistage reciprocating compressor has more components, such as additional pistons, piston rings, and valves compared to a single-stage unit of similar capacity and pressure ratio, the pressure difference across each individual stage is significantly lower than the total pressure difference in a single stage. A lower pressure differential across sealing components (like piston rings and valve seats) in each stage tends to *reduce* the driving force for leakage at those points. Although there are more potential points for leakage due to more components, the reduction in pressure differential per stage often means that the overall increase in leakage losses is not "considerable" to the point of being a major disadvantage that outweighs the efficiency benefits. Modern compressor designs focus heavily on minimizing leakage in all stages.

3. Volumetric Efficiency Improvement

  • Statement: Improvement in overall volumetric efficiency.
  • Analysis: Volumetric efficiency is a crucial performance indicator for compressors, representing the actual volume of gas drawn into the cylinder compared to the swept volume. It is significantly affected by the re-expansion of gas trapped in the clearance volume at the end of the compression stroke. In a single-stage compressor achieving a high-pressure ratio, the high-pressure gas in the clearance volume expands considerably, reducing the space available for fresh gas intake. In multistage compression, the pressure ratio per stage is much lower. Consequently, the gas in the clearance volume of each stage expands to a lesser extent, allowing more fresh gas to be drawn in. Furthermore, intercooling between stages reduces the gas temperature, which increases its density, contributing to an overall improvement in volumetric efficiency. Therefore, this statement is correct.

4. Work Required Reduction

  • Statement: Reduction in work required per stroke.
  • Analysis: This is one of the most significant advantages of multistage compression, especially when coupled with intercooling. When the gas is cooled back to its initial temperature (or close to it) between compression stages, the overall compression process approaches isothermal compression. Isothermal compression theoretically requires the minimum amount of work input for a given pressure ratio compared to adiabatic (no heat transfer) compression. By reducing the temperature of the gas before it enters the next stage, the work input for that stage is reduced, leading to a substantial reduction in the total work required to compress the gas to the desired final pressure. Therefore, this statement is correct.

Conclusion on Multistage Compression Characteristics

Based on the detailed analysis of each statement, the incorrect assertion regarding multistage compression over single-stage compression is that there is a "considerable increase in leakage losses." Multistage compression is widely adopted precisely because it offers benefits like reduced work input, lower discharge temperatures, improved volumetric efficiency, and better mechanical balance, making it a more efficient and effective solution for high-pressure gas compression.

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Important Questions from Reciprocating Compressors

  1. For maximum efficiency, the intermediate pressure, P2, in 2-stage reciprocating compressor should be

  2. In a reciprocating compressor, one should aim at compressing the air

  3. The suction pressure is 1 bar and the delivery pressure is 125 bar. What is the ideal intermediate pressure at the end of first stage for a 3-stage air compressor?

  4. In a double-acting compressor, the air is compressed

  5. Consider the following statements. The volumetric efficiency of a reciprocating compressor depends on

    (a) Clearance factor

    (b) Pressure ratio

    (c) Index of expansion

    (d) Index of compression

    of these statements

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