Work Done By Reciprocating Compressor Given Suction Temperature Calculator

Formula Used:

\[ w = \frac{n_c}{n_c - 1} \cdot m \cdot R \cdot T_s \cdot \left( \left( \frac{P_2}{P_1} \right)^{\frac{n_c - 1}{n_c}} - 1 \right) \]

Polytropic Index of Compression (nc):

Mass of Refrigerant Mass Flow Rate (m):

kg/s

Suction Temperature of Refrigerant (Ts):

Discharge Pressure of Refrigerant (P2):

Suction Pressure (P1):

Work Done Per Cycle (w):

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1. What is the Work Done By Reciprocating Compressor Formula?

The work done by a reciprocating compressor formula calculates the energy required to compress refrigerant in a compressor cycle. It accounts for the polytropic compression process and various thermodynamic properties of the refrigerant.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ w = \frac{n_c}{n_c - 1} \cdot m \cdot R \cdot T_s \cdot \left( \left( \frac{P_2}{P_1} \right)^{\frac{n_c - 1}{n_c}} - 1 \right) \]

Where:

\( w \) — Work done per cycle (J)
\( n_c \) — Polytropic index of compression
\( m \) — Mass of refrigerant mass flow rate (kg/s)
\( R \) — Universal gas constant (8.314 J/mol·K)
\( T_s \) — Suction temperature of refrigerant (K)
\( P_2 \) — Discharge pressure of refrigerant (Pa)
\( P_1 \) — Suction pressure (Pa)

Explanation: The formula calculates the work required for polytropic compression, considering the pressure ratio, temperature, and mass flow rate of the refrigerant.

3. Importance of Work Done Calculation

Details: Accurate work calculation is crucial for determining compressor efficiency, energy consumption, and system performance in refrigeration and air conditioning systems.

4. Using the Calculator

Tips: Enter all values in appropriate units. Ensure polytropic index is greater than 1, and all other values are positive. Use consistent units throughout.

5. Frequently Asked Questions (FAQ)

Q1: What is polytropic index of compression?
A: The polytropic index is a parameter that defines the relationship between pressure and volume during compression. It indicates how heat is transferred during the process.

Q2: Why is suction temperature important?
A: Suction temperature affects the density and thermodynamic properties of the refrigerant, which directly influences the work required for compression.

Q3: What are typical values for polytropic index?
A: For most refrigerants, the polytropic index ranges from 1.1 to 1.4, depending on the specific refrigerant and operating conditions.

Q4: How does pressure ratio affect work done?
A: Higher pressure ratios require more work for compression. The relationship is non-linear due to the exponent term in the formula.

Q5: Can this formula be used for all compressors?
A: This formula is specifically for reciprocating compressors operating under polytropic compression conditions. Other compressor types may require different formulas.