Polytropic Work Done Given Indicated Power For Double-Acting Compressor Calculator

Formula Used:

\[ W_{Polytropic} = \frac{P_{Indicated} \times 60}{N \times 2} \]

Work Done during Polytropic Compression:

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1. What is the Polytropic Work Formula?

The Polytropic Work formula calculates the energy transferred during the compression of a gas in a polytropic process for a double-acting compressor, requiring specific power input and rotational speed parameters.

2. How Does the Calculator Work?

The calculator uses the Polytropic Work formula:

\[ W_{Polytropic} = \frac{P_{Indicated} \times 60}{N \times 2} \]

Where:

\( W_{Polytropic} \) — Work Done during Polytropic Compression (Joule)
\( P_{Indicated} \) — Indicated Power in Compressor (Watt)
\( N \) — Speed in RPM (Revolutions Per Minute)

Explanation: The formula calculates the work done per cycle by considering the indicated power and the rotational speed of the double-acting compressor.

3. Importance of Polytropic Work Calculation

Details: Accurate calculation of polytropic work is crucial for determining compressor efficiency, energy consumption, and proper system design in industrial applications.

4. Using the Calculator

Tips: Enter indicated power in Watts and speed in RPM. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a double-acting compressor?
A: A double-acting compressor compresses gas on both sides of the piston during both the forward and return strokes, providing higher efficiency than single-acting compressors.

Q2: Why is the factor of 2 used in the denominator?
A: The factor of 2 accounts for the double-acting nature of the compressor, where work is done during both strokes of each revolution.

Q3: What is the significance of the 60 multiplier?
A: The 60 multiplier converts power from Watts (Joules per second) to work per minute, matching the RPM time unit.

Q4: What are typical values for indicated power?
A: Indicated power values vary widely depending on compressor size and application, ranging from a few hundred Watts to several megawatts in industrial applications.

Q5: How does this differ from isothermal or adiabatic work?
A: Polytropic work represents a general case where heat transfer occurs during compression, while isothermal assumes constant temperature and adiabatic assumes no heat transfer.