Volumetric Efficiency in Compressor given Clearance Factor Calculator

✖Clearance factor is the ratio of clearance volume to the piston displacement volume.ⓘ Clearance Factor [C]			+10% -10%
✖The discharge pressure of refrigerant is the pressure of the refrigerant after the compression stage or it is the pressure of the refrigerant at the discharge.ⓘ Discharge Pressure of Refrigerant [P₂]			+10% -10%
✖The Suction Pressure is the pressure of the refrigerant before the compression. It is also called the suction pressure of the refrigerant.ⓘ Suction Pressure [P₁]			+10% -10%
✖Polytropic index of compression is a parameter that defines the relationship between pressure and volume during a thermodynamic process. It indicates how heat is transferred during compression.ⓘ Polytropic index of Compression [n_c]			+10% -10%

✖Volumetric Efficiency of Compressor is the ratio of the actual volume of refrigerant passing through the compressor per cycle (Vs) to the stroke of the volume of the compressor (Vp).ⓘ Volumetric Efficiency in Compressor given Clearance Factor [η_v]

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Formula

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Volumetric Efficiency in Compressor given Clearance Factor

Formula

η v = 1 + C - (C \cdot {(\frac{P 2}{P 1})}^{\frac{1}{n c}})

Example

-3.838429 = 1 + 1.24 - (1.24 \cdot {(\frac{8 Bar}{1.013 Bar})}^{\frac{1}{1.3}})

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Volumetric Efficiency in Compressor given Clearance Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Efficiency of Compressor = 1+Clearance Factor-(Clearance Factor*(Discharge Pressure of Refrigerant/Suction Pressure)^(1/Polytropic index of Compression))
η_v = 1+C-(C*(P₂/P₁)^(1/n_c))
This formula uses 5 Variables

Variables Used

Volumetric Efficiency of Compressor - Volumetric Efficiency of Compressor is the ratio of the actual volume of refrigerant passing through the compressor per cycle (Vs) to the stroke of the volume of the compressor (Vp).
Clearance Factor - Clearance factor is the ratio of clearance volume to the piston displacement volume.
Discharge Pressure of Refrigerant - (Measured in Pascal) - The discharge pressure of refrigerant is the pressure of the refrigerant after the compression stage or it is the pressure of the refrigerant at the discharge.
Suction Pressure - (Measured in Pascal) - The Suction Pressure is the pressure of the refrigerant before the compression. It is also called the suction pressure of the refrigerant.
Polytropic index of Compression - Polytropic index of compression is a parameter that defines the relationship between pressure and volume during a thermodynamic process. It indicates how heat is transferred during compression.

STEP 1: Convert Input(s) to Base Unit

Clearance Factor: 1.24 --> No Conversion Required
Discharge Pressure of Refrigerant: 8 Bar --> 800000 Pascal (Check conversion here)
Suction Pressure: 1.013 Bar --> 101300 Pascal (Check conversion here)
Polytropic index of Compression: 1.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_v = 1+C-(C*(P₂/P₁)^(1/n_c)) --> 1+1.24-(1.24*(800000/101300)^(1/1.3))

Evaluating ... ...

η_v = -3.83842878095889

STEP 3: Convert Result to Output's Unit

-3.83842878095889 --> No Conversion Required

FINAL ANSWER

-3.83842878095889 ≈ -3.838429 <-- Volumetric Efficiency of Compressor

(Calculation completed in 00.005 seconds)

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< Volume Calculators

Actual volume of refrigerant

Go Actual Volume of Refrigerant = Total Volume of Refrigerant in Compressor-Expanded Clearance Volume

Actual Volume of Refrigerant given Volumetric Efficiency

Go Actual Volume of Refrigerant = Volumetric Efficiency of Compressor*Stroke Volume of Compressor

Stroke Volume of Compressor given Volumetric efficiency

Go Stroke Volume of Compressor = Actual Volume of Refrigerant/Volumetric Efficiency of Compressor

Stroke Volume of Compressor

Go Stroke Volume of Compressor = Total Volume of Refrigerant in Compressor-Clearance Volume

Volumetric Efficiency in Compressor given Clearance Factor Formula

Volumetric Efficiency of Compressor = 1+Clearance Factor-(Clearance Factor*(Discharge Pressure of Refrigerant/Suction Pressure)^(1/Polytropic index of Compression))
η_v = 1+C-(C*(P₂/P₁)^(1/n_c))

How does clearance volume affect volumetric efficiency?

An increase in clearance volume causes a decrease in volumetric efficiency. An increase in compression ratio also decreases the volumetric efficiency. Piston ring leakage allows gas from the compression chamber to escape the piston and enter the other end of the cylinder. This reduces the volumetric efficiency.

How to Calculate Volumetric Efficiency in Compressor given Clearance Factor?

Volumetric Efficiency in Compressor given Clearance Factor calculator uses Volumetric Efficiency of Compressor = 1+Clearance Factor-(Clearance Factor*(Discharge Pressure of Refrigerant/Suction Pressure)^(1/Polytropic index of Compression)) to calculate the Volumetric Efficiency of Compressor, Volumetric Efficiency in Compressor given Clearance Factor formula is defined as a measure of the efficiency of a compressor in terms of its ability to compress air, taking into account the clearance factor, which affects the compressor's performance and overall volumetric efficiency. Volumetric Efficiency of Compressor is denoted by η_v symbol.

How to calculate Volumetric Efficiency in Compressor given Clearance Factor using this online calculator? To use this online calculator for Volumetric Efficiency in Compressor given Clearance Factor, enter Clearance Factor (C), Discharge Pressure of Refrigerant (P₂), Suction Pressure (P₁) & Polytropic index of Compression (n_c) and hit the calculate button. Here is how the Volumetric Efficiency in Compressor given Clearance Factor calculation can be explained with given input values -> 1.519647 = 1+1.24-(1.24*(800000/101300)^(1/1.3)).

FAQ

What is Volumetric Efficiency in Compressor given Clearance Factor?

Volumetric Efficiency in Compressor given Clearance Factor formula is defined as a measure of the efficiency of a compressor in terms of its ability to compress air, taking into account the clearance factor, which affects the compressor's performance and overall volumetric efficiency and is represented as η_v = 1+C-(C*(P₂/P₁)^(1/n_c)) or Volumetric Efficiency of Compressor = 1+Clearance Factor-(Clearance Factor*(Discharge Pressure of Refrigerant/Suction Pressure)^(1/Polytropic index of Compression)). Clearance factor is the ratio of clearance volume to the piston displacement volume, The discharge pressure of refrigerant is the pressure of the refrigerant after the compression stage or it is the pressure of the refrigerant at the discharge, The Suction Pressure is the pressure of the refrigerant before the compression. It is also called the suction pressure of the refrigerant & Polytropic index of compression is a parameter that defines the relationship between pressure and volume during a thermodynamic process. It indicates how heat is transferred during compression.

How to calculate Volumetric Efficiency in Compressor given Clearance Factor?

Volumetric Efficiency in Compressor given Clearance Factor formula is defined as a measure of the efficiency of a compressor in terms of its ability to compress air, taking into account the clearance factor, which affects the compressor's performance and overall volumetric efficiency is calculated using Volumetric Efficiency of Compressor = 1+Clearance Factor-(Clearance Factor*(Discharge Pressure of Refrigerant/Suction Pressure)^(1/Polytropic index of Compression)). To calculate Volumetric Efficiency in Compressor given Clearance Factor, you need Clearance Factor (C), Discharge Pressure of Refrigerant (P₂), Suction Pressure (P₁) & Polytropic index of Compression (n_c). With our tool, you need to enter the respective value for Clearance Factor, Discharge Pressure of Refrigerant, Suction Pressure & Polytropic index of Compression and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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