Polytropic Work Done Given Indicated Power For Single-acting Compressor Calculator

Formula Used:

\[ \text{Work Done during Polytropic Compression} = \frac{\text{Indicated Power in Compressor} \times 60}{\text{Speed in RPM}} \] \[ W_{\text{Polytropic}} = \frac{P_{\text{Indicated}} \times 60}{N} \]

Work Done during Polytropic Compression:

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1. What is Polytropic Work Done?

Polytropic Work Done during compression is the energy transferred during the compression of a gas in a polytropic process, requiring a specific power input. It represents the actual work required to compress the gas from initial to final state in a polytropic process.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula calculates the work done per revolution by converting the indicated power (which is work per second) to work per minute and then dividing by the rotational speed.

3. Importance of Polytropic Work Calculation

Details: Accurate calculation of polytropic work is crucial for compressor design, efficiency analysis, and energy consumption estimation in compression systems.

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 the difference between polytropic and isentropic work?
A: Polytropic work accounts for actual compression process with heat transfer, while isentropic work assumes adiabatic reversible compression without heat transfer.

Q2: Why multiply by 60 in the formula?
A: The multiplication by 60 converts power from Watts (Joules/second) to Joules per minute, which is then divided by RPM to get work per revolution.

Q3: What are typical values for indicated power?
A: Indicated power varies significantly based on compressor size, type, and operating conditions, ranging from a few Watts to several Megawatts.

Q4: How does speed affect polytropic work?
A: Higher rotational speeds generally result in lower work per revolution, as the same power is distributed over more revolutions.

Q5: Can this formula be used for all compressor types?
A: This formula is specifically designed for single-acting compressors. Different formulas may be required for other compressor types.