Volumetric efficiency of IC engine Calculator

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Engine Performance Parameters

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Design of IC Engine Components

Fuel Injection in IC Engine

Fundamentals of IC Engine

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For 4 Stroke Engine

For 2 Stroke Engine

✖Air mass flow rate is the mass of intake air that is flowing per unit time.ⓘ Air Mass Flow Rate [m_af]			+10% -10%
✖Crankshaft revolutions per power stroke is defined as the number of crankshaft rotations when the ic engine takes one complete cycle.ⓘ Crankshaft revolutions per power stroke [n_R]			+10% -10%
✖Air density at intake is defined as the density of air recorded at intake manifold at atmospheric pressure and room temperature.ⓘ Air density at intake [ρ_a]			+10% -10%
✖Theoretical volume of engine is defined as the total volume of the combustion chamber including swept volume and clearance volume.ⓘ Theoretical volume of engine [V_d]			+10% -10%
✖Engine speed in rps is defined as the number of rotations of the crankshaft in one second during four stroke cycle.ⓘ Engine speed in rps [N_e]			+10% -10%

✖Volumetric efficiency of IC engine is defined as the ratio of mass density of air-fuel mixture drawn into the cylinder to the mass density of the same volume of air in the intake manifold.ⓘ Volumetric efficiency of IC engine [η_v]

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Formula

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Volumetric efficiency of IC engine

Formula

`"η"_{"v"} = ("m"_{"af"}*"n"_{"R"})/("ρ"_{"a"}*"V"_{"d"}*"N"_{"e"})`

Example

`"3.7E^-6"=("0.9kg/s"*"2")/("1.20kg/cm³"*"0.0038m³"*"17rev/s")`

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Volumetric efficiency of IC engine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric efficiency of IC engine = (Air Mass Flow Rate*Crankshaft revolutions per power stroke)/(Air density at intake*Theoretical volume of engine*Engine speed in rps)
η_v = (m_af*n_R)/(ρ_a*V_d*N_e)
This formula uses 6 Variables

Variables Used

Volumetric efficiency of IC engine - Volumetric efficiency of IC engine is defined as the ratio of mass density of air-fuel mixture drawn into the cylinder to the mass density of the same volume of air in the intake manifold.
Air Mass Flow Rate - (Measured in Kilogram per Second) - Air mass flow rate is the mass of intake air that is flowing per unit time.
Crankshaft revolutions per power stroke - Crankshaft revolutions per power stroke is defined as the number of crankshaft rotations when the ic engine takes one complete cycle.
Air density at intake - (Measured in Kilogram per Cubic Meter) - Air density at intake is defined as the density of air recorded at intake manifold at atmospheric pressure and room temperature.
Theoretical volume of engine - (Measured in Cubic Meter) - Theoretical volume of engine is defined as the total volume of the combustion chamber including swept volume and clearance volume.
Engine speed in rps - (Measured in Radian per Second) - Engine speed in rps is defined as the number of rotations of the crankshaft in one second during four stroke cycle.

STEP 1: Convert Input(s) to Base Unit

Air Mass Flow Rate: 0.9 Kilogram per Second --> 0.9 Kilogram per Second No Conversion Required
Crankshaft revolutions per power stroke: 2 --> No Conversion Required
Air density at intake: 1.2 Kilogram per Cubic Centimeter --> 1200000 Kilogram per Cubic Meter (Check conversion here)
Theoretical volume of engine: 0.0038 Cubic Meter --> 0.0038 Cubic Meter No Conversion Required
Engine speed in rps: 17 Revolution per Second --> 106.814150216614 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_v = (m_af*n_R)/(ρ_a*V_d*N_e) --> (0.9*2)/(1200000*0.0038*106.814150216614)

Evaluating ... ...

η_v = 3.69554821439627E-06

STEP 3: Convert Result to Output's Unit

3.69554821439627E-06 --> No Conversion Required

FINAL ANSWER

3.69554821439627E-06 ≈ 3.7E-6 <-- Volumetric efficiency of IC engine

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Engine Performance Parameters » For 4 Stroke Engine » Volumetric efficiency of IC engine

Credits

Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

Syed Adnan has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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

< 24 For 4 Stroke Engine Calculators

Volumetric efficiency of IC engine

Go Volumetric efficiency of IC engine = (Air Mass Flow Rate*Crankshaft revolutions per power stroke)/(Air density at intake*Theoretical volume of engine*Engine speed in rps)

Rate of heat conduction of engine wall

Go Rate of Heat Conduction of Engine Wall = ((-Thermal conductivity of material)*Surface Area of Engine Wall*Temperature Difference across Engine Wall)/Thickness of Engine Wall

Brake power measured with dynamo meter

Go Brake power measured with dynamo meter = (pi*Pulley diameter*(Engine speed in rps*60)*(Dead weight-Spring scale reading))/60

Indicated Power of Four-stroke Engine

Go Indicated Power = (Number of Cylinders*Mean Effective Pressure*Stroke Length*Area of Cross Section*(Engine Speed))/(2)

Volumetric Efficiency for 4S engines

Go Volumetric Efficiency = ((2*Air Mass Flow Rate)/(Air density at intake*Piston Swept Volume*(Engine Speed)))*100

Brake Mean Effective Pressure of 4S Engines given Brake power

Go Brake Mean Effective Pressure = (2*Brake Power)/(Stroke Length*Area of Cross Section*(Engine Speed))

Work done per cycle in ic engine

Go Work done per cycle in ic engine = (Indicated engine power*Crankshaft revolutions per power stroke)/Engine Speed in rpm

Fuel conversion efficiency

Go Fuel conversion efficiency = Work done per cycle in ic engine/(Mass of fuel added per cycle*Heating value of the fuel)

Combustion efficiency

Go Combustion efficiency = Heat added by combustion per cycle/(Mass of fuel added per cycle*Heating value of the fuel)

Intake air mass of engine cylinder

Go Mass of air at intake = (Air Mass Flow Rate*Crankshaft revolutions per power stroke)/Engine Speed in rpm

Bmep given engine torque

Go Bmep = (2*pi*Engine Torque*Engine Speed)/Mean Piston Speed

Displaced volume in engine cylinder

Go Displaced volume = (Piston stroke*pi*(Engine cylinder bore in meter^2))/4

Intake air density

Go Air density at intake = Intake air pressure/([R]*Intake air temperature)

Thermal efficiency of IC engine

Go Thermal efficiency of ic engine = Work done per cycle in ic engine/Heat added by combustion per cycle

Volumetric efficiency of IC engine given actual volume of engine cylinder

Go Volumetric efficiency of IC engine = Actual volume of intake air/Theoretical volume of engine

Connecting rod length to crank radius ratio

Go Connecting rod length to crank radius ratio = Connecting rod length/Crank Radius of Engine

Ratio of cylinder bore to piston stroke

Go Connecting rod length to crank radius ratio = Connecting rod length/Crank Radius of Engine

Total cylinder volume of IC engine

Go Total volume of an engine = Total number of cylinders*Total volume of engine cylinder

Fuel conversion efficiency given thermal conversion efficiency

Go Fuel conversion efficiency = Combustion efficiency*Thermal conversion efficiency

Frictional power of engine

Go Frictional power of engine = Indicated Power of Engine-Brake power of engine

Actual intake air volume per cylinder

Go Actual volume of intake air = Mass of air at intake/Air density at intake

Horsepower of engine

Go Horsepower of engine = (Engine Torque*Engine RPM)/5252

Indicated mean effective pressure given mechanical efficiency

Go Imep = Bmep/Mechanical efficiency of ic engine

Frictional mean effective pressure

Go Fmep = Imep-Bmep

Volumetric efficiency of IC engine Formula

What is volumetric efficiency of IC engine?

Volumetric efficiency of IC engine is defined as the ratio of the mass density of the air-fuel mixture drawn into the cylinder at atmospheric pressure (during the intake stroke) to the mass density of the same volume of air in the intake manifold. By volumetric efficiency we measure the capacity of the engine to fill the available geometric volume of the engine with air.

How to Calculate Volumetric efficiency of IC engine?

Volumetric efficiency of IC engine calculator uses Volumetric efficiency of IC engine = (Air Mass Flow Rate*Crankshaft revolutions per power stroke)/(Air density at intake*Theoretical volume of engine*Engine speed in rps) to calculate the Volumetric efficiency of IC engine, The Volumetric efficiency of IC engine formula is defined as the ratio of the mass density of the air-fuel mixture drawn into the cylinder at atmospheric pressure (during the intake stroke) to the mass density of the same volume of air in the intake manifold. Volumetric efficiency of IC engine is denoted by η_v symbol.

How to calculate Volumetric efficiency of IC engine using this online calculator? To use this online calculator for Volumetric efficiency of IC engine, enter Air Mass Flow Rate (m_af), Crankshaft revolutions per power stroke (n_R), Air density at intake (ρ_a), Theoretical volume of engine (V_d) & Engine speed in rps (N_e) and hit the calculate button. Here is how the Volumetric efficiency of IC engine calculation can be explained with given input values -> 3.7E-6 = (0.9*2)/(1200000*0.0038*106.814150216614).

FAQ

What is Volumetric efficiency of IC engine?

The Volumetric efficiency of IC engine formula is defined as the ratio of the mass density of the air-fuel mixture drawn into the cylinder at atmospheric pressure (during the intake stroke) to the mass density of the same volume of air in the intake manifold and is represented as η_v = (m_af*n_R)/(ρ_a*V_d*N_e) or Volumetric efficiency of IC engine = (Air Mass Flow Rate*Crankshaft revolutions per power stroke)/(Air density at intake*Theoretical volume of engine*Engine speed in rps). Air mass flow rate is the mass of intake air that is flowing per unit time, Crankshaft revolutions per power stroke is defined as the number of crankshaft rotations when the ic engine takes one complete cycle, Air density at intake is defined as the density of air recorded at intake manifold at atmospheric pressure and room temperature, Theoretical volume of engine is defined as the total volume of the combustion chamber including swept volume and clearance volume & Engine speed in rps is defined as the number of rotations of the crankshaft in one second during four stroke cycle.

How to calculate Volumetric efficiency of IC engine?

The Volumetric efficiency of IC engine formula is defined as the ratio of the mass density of the air-fuel mixture drawn into the cylinder at atmospheric pressure (during the intake stroke) to the mass density of the same volume of air in the intake manifold is calculated using Volumetric efficiency of IC engine = (Air Mass Flow Rate*Crankshaft revolutions per power stroke)/(Air density at intake*Theoretical volume of engine*Engine speed in rps). To calculate Volumetric efficiency of IC engine, you need Air Mass Flow Rate (m_af), Crankshaft revolutions per power stroke (n_R), Air density at intake (ρ_a), Theoretical volume of engine (V_d) & Engine speed in rps (N_e). With our tool, you need to enter the respective value for Air Mass Flow Rate, Crankshaft revolutions per power stroke, Air density at intake, Theoretical volume of engine & Engine speed in rps and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volumetric efficiency of IC engine?

In this formula, Volumetric efficiency of IC engine uses Air Mass Flow Rate, Crankshaft revolutions per power stroke, Air density at intake, Theoretical volume of engine & Engine speed in rps. We can use 1 other way(s) to calculate the same, which is/are as follows -

Volumetric efficiency of IC engine = Actual volume of intake air/Theoretical volume of engine

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