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 for Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.ⓘ Polytropic Index for 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"*("P"_{"2"}/"P"_{"1"})^(1/"n"_{"c"}))`

Example

`"-26.577759"=1+"6"-("6"*("8Bar"/"1.013Bar")^(1/"1.2"))`

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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 for 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 for Compression - Polytropic Index for Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.

STEP 1: Convert Input(s) to Base Unit

Clearance factor: 6 --> 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 for Compression: 1.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_v = 1+C-(C*(P₂/P₁)^(1/n_c)) --> 1+6-(6*(800000/101300)^(1/1.2))

Evaluating ... ...

η_v = -26.5777585400685

STEP 3: Convert Result to Output's Unit

-26.5777585400685 --> No Conversion Required

FINAL ANSWER

-26.5777585400685 ≈ -26.577759 <-- Volumetric Efficiency of Compressor

(Calculation completed in 00.006 seconds)

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< 15 Volume Calculators

Work Done given Polytropic Index for Compression and Expansion

Go Work Done per cycle = (Polytropic index of compression/(Polytropic index of compression-1))*Suction pressure*Total Volume of Refrigerant in Compressor*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of compression-1)/Polytropic index of compression)-1)-(Polytropic index of Expansion/(Polytropic index of Expansion-1))*Suction pressure*Expanded clearance volume*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of Expansion-1)/Polytropic index of Expansion)-1)

Work Done by Reciprocating Compressor given Volume before Compression and after Expansion

Go Work Done per cycle = (Polytropic index of compression/(Polytropic index of compression-1))*(Suction pressure*(Total Volume of Refrigerant in Compressor-Expanded clearance volume))*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of compression-1)/Polytropic index of compression)-1)

Work done by Reciprocating Compressor given Suction Temperature

Go Work Done per cycle = (Polytropic index of compression/(Polytropic index of compression-1))*Mass of refrigerant in kg per minute*[R]*Suction Temperature of Refrigerant*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of compression-1)/Polytropic index of compression)-1)

Suction Temperature given Work done by Compressor

Go Suction Temperature of Refrigerant = (Polytropic index of compression-1)/(Polytropic index of compression*Mass of refrigerant in kg per minute*[R]*((Discharge Pressure of Refrigerant/Suction pressure)^((Polytropic index of compression-1)/Polytropic index of compression)-1))

Volumetric Efficiency in Compressor given Clearance Factor

Go Volumetric Efficiency of Compressor = 1+Clearance factor-(Clearance factor*(Discharge Pressure of Refrigerant/Suction pressure)^(1/Polytropic Index for Compression))

Total Volume of Refrigerant in Compressor given Clearance Factor

Go Total Volume of Refrigerant in Compressor = (Clearance volume/Clearance factor)+Clearance volume

Clearance factor

Go Clearance factor = Clearance volume/(Total Volume of Refrigerant in Compressor-Clearance volume)

Total Volume of Refrigerant in Compressor given Actual Volume

Go Total Volume of Refrigerant in Compressor = Actual volume of Refrigerant+Expanded clearance volume

Expanded Clearance Volume given Actual Volume of Compressor

Go Expanded clearance volume = Total Volume of Refrigerant in Compressor-Actual volume of Refrigerant

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

Total Volume of Refrigerant in Compressor given Stroke Volume of Compressor

Go Total Volume of Refrigerant in Compressor = Stroke Volume of Compressor+Clearance volume

Clearance Volume of Compressor given Stroke Volume

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

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 for Compression)) to calculate the Volumetric Efficiency of Compressor, The Volumetric Efficiency in Compressor given Clearance Factor formula is defined as the measure of the deviation from the volume handling capacity of the compressor. The volumetric efficiency is given by the ratio of the actual volume of air sucked and swept volume of the cylinder. 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 for 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 -> -26.577759 = 1+6-(6*(800000/101300)^(1/1.2)).

FAQ

What is Volumetric Efficiency in Compressor given Clearance Factor?

The Volumetric Efficiency in Compressor given Clearance Factor formula is defined as the measure of the deviation from the volume handling capacity of the compressor. The volumetric efficiency is given by the ratio of the actual volume of air sucked and swept volume of the cylinder 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 for 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 for Compression is that defined via a polytropic equation of state of the form P∝ρ1+1/n, where P is pressure, ρ is density, and n is the polytropic index.

How to calculate Volumetric Efficiency in Compressor given Clearance Factor?

The Volumetric Efficiency in Compressor given Clearance Factor formula is defined as the measure of the deviation from the volume handling capacity of the compressor. The volumetric efficiency is given by the ratio of the actual volume of air sucked and swept volume of the cylinder is calculated using Volumetric Efficiency of Compressor = 1+Clearance factor-(Clearance factor*(Discharge Pressure of Refrigerant/Suction pressure)^(1/Polytropic Index for 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 for Compression (n_c). With our tool, you need to enter the respective value for Clearance factor, Discharge Pressure of Refrigerant, Suction pressure & Polytropic Index for 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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