Volumetric Efficiency of Reciprocating Compressor Calculator

✖Actual Volume means, in any given hour, the total amount of real power that is being consumed or is being consumed as an aggregated volume by the Service Provider that is subject to LSSi.ⓘ Actual volume [V_a]			+10% -10%
✖Piston swept volume is defined as the displacement of one cylinder. It is the volume between top dead center (TDC) and bottom dead center (BDC).ⓘ Piston Swept Volume [V_piston]			+10% -10%

✖Volumetric Efficiency is the ratio of the volume of air/charge drawn into the cylinder(s) during the suction stroke to the total displacement of all the cylinder(s) at the atmospheric pressure.ⓘ Volumetric Efficiency of Reciprocating Compressor [η_v]

⎘ Copy

👎

Formula

✖

Volumetric Efficiency of Reciprocating Compressor

Formula

`"η"_{"v"} = "V"_{"a"}/"V"_{"piston"}`

Example

`"0.8"="164m³"/"205m³"`

Calculator

LaTeX

Reset

👍

Download Seals Formulas PDF

Volumetric Efficiency of Reciprocating Compressor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Efficiency = Actual volume/Piston Swept Volume
η_v = V_a/V_piston
This formula uses 3 Variables

Variables Used

Volumetric Efficiency - Volumetric Efficiency is the ratio of the volume of air/charge drawn into the cylinder(s) during the suction stroke to the total displacement of all the cylinder(s) at the atmospheric pressure.
Actual volume - (Measured in Cubic Meter) - Actual Volume means, in any given hour, the total amount of real power that is being consumed or is being consumed as an aggregated volume by the Service Provider that is subject to LSSi.
Piston Swept Volume - (Measured in Cubic Meter) - Piston swept volume is defined as the displacement of one cylinder. It is the volume between top dead center (TDC) and bottom dead center (BDC).

STEP 1: Convert Input(s) to Base Unit

Actual volume: 164 Cubic Meter --> 164 Cubic Meter No Conversion Required
Piston Swept Volume: 205 Cubic Meter --> 205 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_v = V_a/V_piston --> 164/205

Evaluating ... ...

η_v = 0.8

STEP 3: Convert Result to Output's Unit

0.8 --> No Conversion Required

FINAL ANSWER

0.8 <-- Volumetric Efficiency

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Design of Machine Elements » Design of Coupling » Seals » Leakage through Bush Seals » Volumetric Efficiency of Reciprocating Compressor

Credits

Created by Abhinav Gupta

Defence institute of advanced technology (DRDO) (DIAT), pune

Abhinav Gupta has created this Calculator and 10+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 17 Leakage through Bush Seals Calculators

Amount of Leakage of Fluid through Face Seal

Go Oil Flow from Bush Seal = (pi*Thickness of Fluid between Members^3)/(6*Kinematic viscosity of bush seal fluid*ln(Outer Radius of rotating member inside bush seal/Inner Radius of Rotating Member inside Bush Seal))*((3*Seal Fluid Density*Rotational speed of shaft inside seal^2)/(20*[g])*(Outer Radius of rotating member inside bush seal^2-Inner Radius of Rotating Member inside Bush Seal^2)-Internal Hydraulic Pressure-Pressure at Seal Inside Radius)

Radial Pressure Distribution for Laminar Flow

Go Pressure at Radial Position for Bush Seal = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational speed of shaft inside seal^2)/(20*[g])*(Radial Position in Bush Seal^2-Inner Radius of Rotating Member inside Bush Seal^2)-(6*Kinematic viscosity of bush seal fluid)/(pi*Thickness of Fluid between Members^3)*ln(Radial Position in Bush Seal/Radius of rotating member inside bush seal)

Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Incompressible Fluid

Go Volumetric Flow Rate per Unit Pressure = (Radial Clearance for Seals^3)/(12*Absolute Viscosity of Oil in Seals)*(Outer Radius of Plain Bush Seal-Inner Radius of Plain Bush Seal)/(Outer Radius of Plain Bush Seal*ln(Outer Radius of Plain Bush Seal/Inner Radius of Plain Bush Seal))

Volumetric Flow Rate under Laminar Flow Condition for Radial Bush Seal for Compressible Fluid

Go Volumetric Flow Rate per Unit Pressure = (Radial Clearance for Seals^3)/(24*Absolute Viscosity of Oil in Seals)*((Outer Radius of Plain Bush Seal-Inner Radius of Plain Bush Seal)/(Outer Radius of Plain Bush Seal))*((Minimum Percentage Compression+Exit Pressure)/(Exit Pressure))

Outside Radius of Rotating Member given Power Loss due to Leakage of Fluid through Face Seal

Go Outer Radius of rotating member inside bush seal = (Power loss for seal/(((pi*Kinematic viscosity of bush seal fluid*Nominal Packing Cross-section of Bush Seal^2)/(13200*Thickness of Fluid between Members)))+Inner Radius of Rotating Member inside Bush Seal^4)^(1/4)

Thickness of Fluid between Members given Power Loss due to Leakage of Fluid through Face Seal

Go Thickness of Fluid between Members = (pi*Kinematic viscosity of bush seal fluid*Nominal Packing Cross-section of Bush Seal^2)/(13200*Power loss for seal)*(Outer Radius of rotating member inside bush seal^4-Inner Radius of Rotating Member inside Bush Seal^4)

Kinematic Viscosity given Power Loss due to Leakage of Fluid through Face Seal

Go Kinematic viscosity of bush seal fluid = (13200*Power loss for seal*Thickness of Fluid between Members)/(pi*Nominal Packing Cross-section of Bush Seal^2*(Outer Radius of rotating member inside bush seal^4-Inner Radius of Rotating Member inside Bush Seal^4))

Power Loss or Consumption due to Leakage of Fluid through Face Seal

Go Power loss for seal = (pi*Kinematic viscosity of bush seal fluid*Nominal Packing Cross-section of Bush Seal^2)/(13200*Thickness of Fluid between Members)*(Outer Radius of rotating member inside bush seal^4-Inner Radius of Rotating Member inside Bush Seal^4)

Oil Flow through Plain Radial Bush Seal due to Leakage under Laminar Flow Condition

Go Oil Flow from Bush Seal = (2*pi*Outer Radius of Plain Bush Seal*(Minimum Percentage Compression-Exit Pressure/10^6))/(Outer Radius of Plain Bush Seal-Inner Radius of Plain Bush Seal)*Volumetric Flow Rate per Unit Pressure

Internal Hydraulic Pressure given Zero Leakage of Fluid through Face Seal

Go Internal Hydraulic Pressure = Pressure at Seal Inside Radius+(3*Seal Fluid Density*Rotational speed of shaft inside seal^2)/20*(Outer Radius of rotating member inside bush seal^2-Inner Radius of Rotating Member inside Bush Seal^2)*1000

Oil Flow through Plain Axial Bush Seal due to Leakage under Laminar Flow Condition

Go Oil Flow from Bush Seal = (2*pi*Outer Radius of Plain Bush Seal*(Minimum Percentage Compression-Exit Pressure/10^6))/(Depth of U Collar)*Volumetric Flow Rate per Unit Pressure

Volumetric Flow Rate under Laminar Flow Condition for Axial Bush Seal for Compressible Fluid

Go Volumetric Flow Rate per Unit Pressure = (Radial Clearance for Seals^3)/(12*Absolute Viscosity of Oil in Seals)*(Minimum Percentage Compression+Exit Pressure)/(Exit Pressure)

Thickness of Fluid between Members given Shape Factor

Go Thickness of Fluid between Members = (Outside Diameter of Packing Gasket-Inside Diameter of Packing Gasket)/(4*Shape Factor for Circular Gasket)

Shape Factor for Circular or Annular Gasket

Go Shape Factor for Circular Gasket = (Outside Diameter of Packing Gasket-Inside Diameter of Packing Gasket)/(4*Thickness of Fluid between Members)

Outside Diameter of Gasket given Shape Factor

Go Outside Diameter of Packing Gasket = Inside Diameter of Packing Gasket+4*Thickness of Fluid between Members*Shape Factor for Circular Gasket

Inside Diameter of Gasket given Shape Factor

Go Inside Diameter of Packing Gasket = Outside Diameter of Packing Gasket-4*Thickness of Fluid between Members*Shape Factor for Circular Gasket

Volumetric Efficiency of Reciprocating Compressor

Go Volumetric Efficiency = Actual volume/Piston Swept Volume

Volumetric Efficiency of Reciprocating Compressor Formula

Volumetric Efficiency = Actual volume/Piston Swept Volume
η_v = V_a/V_piston

Volumetric efficiency of a reciprocating compressor

The volumetric efficiency represents the efficiency of a compressor cylinder to compress gas. It may be defined as the ratio of the volume of gas actually delivered to the piston displacement, corrected to suction temperature and pressure. The principal reasons that the cylinder will not deliver the piston displacement capacity are wire-drawing, a throttling effect on the valves; heating of the gas during admission to the cylinder; leakage past valves and piston rings; and re-expansion of the gas trapped in the clearance-volume space from the previous stroke. Re-expansion has by far the greatest effect on volumetric efficiency.

Mechanism of volumetric efficiency of a reciprocating compressor

The four-stroke cycle engine pumping losses occur during the intake and the exhaust strokes when the pistons basically act as air pumps. The thermal (heat) loading on the piston, valves, cylinder head, and cylinder liner tend to be lower on a four-cycle engine because the power stroke occurs only once every two crankshaft revolutions versus once every revolution in the two-cycle engine.

How to Calculate Volumetric Efficiency of Reciprocating Compressor?

Volumetric Efficiency of Reciprocating Compressor calculator uses Volumetric Efficiency = Actual volume/Piston Swept Volume to calculate the Volumetric Efficiency, The Volumetric Efficiency of Reciprocating Compressor represents the efficiency of a compressor cylinder to compress gas. It may be defined as the ratio of the volume of gas actually delivered to the piston displacement, corrected to suction temperature and pressure. The principal reasons that the cylinder will not deliver the piston displacement capacity are wire-drawing, a throttling effect on the valves; heating of the gas during admission to the cylinder; leakage past valves and piston rings; and re-expansion of the gas trapped in the clearance-volume space from the previous stroke. Re-expansion has by far the greatest effect on volumetric efficiency. Volumetric Efficiency is denoted by η_v symbol.

How to calculate Volumetric Efficiency of Reciprocating Compressor using this online calculator? To use this online calculator for Volumetric Efficiency of Reciprocating Compressor, enter Actual volume (V_a) & Piston Swept Volume (V_piston) and hit the calculate button. Here is how the Volumetric Efficiency of Reciprocating Compressor calculation can be explained with given input values -> 0.02439 = 164/205.

FAQ

What is Volumetric Efficiency of Reciprocating Compressor?

The Volumetric Efficiency of Reciprocating Compressor represents the efficiency of a compressor cylinder to compress gas. It may be defined as the ratio of the volume of gas actually delivered to the piston displacement, corrected to suction temperature and pressure. The principal reasons that the cylinder will not deliver the piston displacement capacity are wire-drawing, a throttling effect on the valves; heating of the gas during admission to the cylinder; leakage past valves and piston rings; and re-expansion of the gas trapped in the clearance-volume space from the previous stroke. Re-expansion has by far the greatest effect on volumetric efficiency and is represented as η_v = V_a/V_piston or Volumetric Efficiency = Actual volume/Piston Swept Volume. Actual Volume means, in any given hour, the total amount of real power that is being consumed or is being consumed as an aggregated volume by the Service Provider that is subject to LSSi & Piston swept volume is defined as the displacement of one cylinder. It is the volume between top dead center (TDC) and bottom dead center (BDC).

How to calculate Volumetric Efficiency of Reciprocating Compressor?

The Volumetric Efficiency of Reciprocating Compressor represents the efficiency of a compressor cylinder to compress gas. It may be defined as the ratio of the volume of gas actually delivered to the piston displacement, corrected to suction temperature and pressure. The principal reasons that the cylinder will not deliver the piston displacement capacity are wire-drawing, a throttling effect on the valves; heating of the gas during admission to the cylinder; leakage past valves and piston rings; and re-expansion of the gas trapped in the clearance-volume space from the previous stroke. Re-expansion has by far the greatest effect on volumetric efficiency is calculated using Volumetric Efficiency = Actual volume/Piston Swept Volume. To calculate Volumetric Efficiency of Reciprocating Compressor, you need Actual volume (V_a) & Piston Swept Volume (V_piston). With our tool, you need to enter the respective value for Actual volume & Piston Swept Volume and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search