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Volumetric Efficiency in Compressor given Clearance Factor Formula

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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). Check FAQs

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

η_v - Volumetric Efficiency of Compressor?C - Clearance Factor?P₂ - Discharge Pressure of Refrigerant?P₁ - Suction Pressure?n_c - Polytropic index of Compression?

Volumetric Efficiency in Compressor given Clearance Factor Example

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Here is how the Volumetric Efficiency in Compressor given Clearance Factor equation looks like with Values.

Here is how the Volumetric Efficiency in Compressor given Clearance Factor equation looks like with Units.

Here is how the Volumetric Efficiency in Compressor given Clearance Factor equation looks like.

-3.8384 = 1 + 1.24 - (1.24 \cdot {(\frac{8}{1.013})}^{\frac{1}{1.3}})

-3.8384 = 1 + 1.24 - (1.24 \cdot {(\frac{8Bar}{1.013Bar})}^{\frac{1}{1.3}})

-3.8384 = 1 + 1.24 - (1.24 \cdot {(\frac{8}{1.013})}^{\frac{1}{1.3}})

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Volumetric Efficiency in Compressor given Clearance Factor Solution

Follow our step by step solution on how to calculate Volumetric Efficiency in Compressor given Clearance Factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

η v = 1 + 1.24 - (1.24 \cdot {(\frac{800000Pa}{101300Pa})}^{\frac{1}{1.3}})

Next Step Prepare to Evaluate

∴

η v = 1 + 1.24 - (1.24 \cdot {(\frac{800000}{101300})}^{\frac{1}{1.3}})

Next Step Evaluate

∴

η v = -3.83842878095889

LAST Step Rounding Answer

∴

η v = -3.8384

Volumetric Efficiency in Compressor given Clearance Factor Formula Elements

Variables

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).

Symbol: η_v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Volumetric Efficiency of Compressor

Clearance Factor

Clearance factor is the ratio of clearance volume to the piston displacement volume.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Clearance Factor

Discharge Pressure of Refrigerant

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.

Symbol: P₂

Measurement: PressureUnit: Bar

Note: Value can be positive or negative.

Formulas to find Discharge Pressure of Refrigerant

Suction Pressure

The Suction Pressure is the pressure of the refrigerant before the compression. It is also called the suction pressure of the refrigerant.

Symbol: P₁

Measurement: PressureUnit: Bar

Note: Value can be positive or negative.

Formulas to find Suction Pressure

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.

Symbol: n_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Polytropic index of Compression

Other formulas in Volume category

Go Actual Volume of Refrigerant given Volumetric Efficiency

V s = η v \cdot V p

Go Stroke Volume of Compressor given Volumetric efficiency

V p = \frac{V s}{η v}

Go Actual volume of refrigerant

V s = V 1 - V 4

Go Stroke Volume of Compressor

V p = V 1 - V c

How to Evaluate Volumetric Efficiency in Compressor given Clearance Factor?

Volumetric Efficiency in Compressor given Clearance Factor evaluator uses Volumetric Efficiency of Compressor = 1+Clearance Factor-(Clearance Factor*(Discharge Pressure of Refrigerant/Suction Pressure)^(1/Polytropic index of Compression)) to evaluate 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 evaluate Volumetric Efficiency in Compressor given Clearance Factor using this online evaluator? To use this online evaluator 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.

FAQs on Volumetric Efficiency in Compressor given Clearance Factor

What is the formula to find Volumetric Efficiency in Compressor given Clearance Factor?

The formula of Volumetric Efficiency in Compressor given Clearance Factor is expressed as Volumetric Efficiency of Compressor = 1+Clearance Factor-(Clearance Factor*(Discharge Pressure of Refrigerant/Suction Pressure)^(1/Polytropic index of Compression)). Here is an example- 1.519647 = 1+1.24-(1.24*(800000/101300)^(1/1.3)).

How to calculate Volumetric Efficiency in Compressor given Clearance Factor?

With Clearance Factor (C), Discharge Pressure of Refrigerant (P₂), Suction Pressure (P₁) & Polytropic index of Compression (n_c) we can find Volumetric Efficiency in Compressor given Clearance Factor using the formula - Volumetric Efficiency of Compressor = 1+Clearance Factor-(Clearance Factor*(Discharge Pressure of Refrigerant/Suction Pressure)^(1/Polytropic index of Compression)).

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Volumetric Efficiency in Compressor given Clearance Factor Formula

Volumetric Efficiency in Compressor given Clearance Factor Example

Volumetric Efficiency in Compressor given Clearance Factor Solution

Volumetric Efficiency in Compressor given Clearance Factor Formula Elements

Other formulas in Volume category

How to Evaluate Volumetric Efficiency in Compressor given Clearance Factor?

FAQs on Volumetric Efficiency in Compressor given Clearance Factor

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