Engine displacement given number of cylinders Calculator

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✖Engine bore is defined as the circular cross section of the engine cylinder and is the radius of the circle of engine cylinder.ⓘ Engine bore [r]			+10% -10%
✖Stroke length is the distance travelled by piston in cylinder from BDC to TDC or vice versa.ⓘ Stroke Length [L]			+10% -10%
✖Number of Cylinders is the count of the cylinders that are present on the engine.ⓘ Number of Cylinders [k]			+10% -10%

✖Engine displacement is defined as the volumetric area covered by the piston in one stroke.ⓘ Engine displacement given number of cylinders [E_dis]

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Formula

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Engine displacement given number of cylinders

Formula

`"E"_{"dis"} = "r"*"r"*"L"*0.7854*"k"`

Example

`"6785.856cm³"="12cm"*"12cm"*"15cm"*0.7854*"4"`

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Engine displacement given number of cylinders Solution

STEP 0: Pre-Calculation Summary

Formula Used

Engine Displacement = Engine bore*Engine bore*Stroke Length*0.7854*Number of Cylinders
E_dis = r*r*L*0.7854*k
This formula uses 4 Variables

Variables Used

Engine Displacement - (Measured in Cubic Meter) - Engine displacement is defined as the volumetric area covered by the piston in one stroke.
Engine bore - (Measured in Meter) - Engine bore is defined as the circular cross section of the engine cylinder and is the radius of the circle of engine cylinder.
Stroke Length - (Measured in Meter) - Stroke length is the distance travelled by piston in cylinder from BDC to TDC or vice versa.
Number of Cylinders - Number of Cylinders is the count of the cylinders that are present on the engine.

STEP 1: Convert Input(s) to Base Unit

Engine bore: 12 Centimeter --> 0.12 Meter (Check conversion here)
Stroke Length: 15 Centimeter --> 0.15 Meter (Check conversion here)
Number of Cylinders: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_dis = r*r*L*0.7854*k --> 0.12*0.12*0.15*0.7854*4

Evaluating ... ...

E_dis = 0.006785856

STEP 3: Convert Result to Output's Unit

0.006785856 Cubic Meter -->6785.856 Cubic Centimeter (Check conversion here)

FINAL ANSWER

6785.856 Cubic Centimeter <-- Engine Displacement

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Fundamentals of IC Engine » Engine displacement given number of cylinders

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

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Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

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< 22 Fundamentals of IC Engine Calculators

Overall heat transfer coefficient of IC engine

Go Overall Heat Transfer Coefficient = 1/((1/Heat Transfer Coefficient on Gas Side)+(Thickness of Engine Wall/Thermal conductivity of material)+(1/Heat Transfer Coefficient on Coolant Side))

Fuel Jet Velocity

Go Fuel jet velocity = Coefficient of Discharge*sqrt(((2*(Fuel injection pressure-Pressure of charge inside the cylinder))/Fuel Density))

Rate of convection heat transfer between engine wall and coolant

Go Rate of Convection Heat Transfer = Convection Heat Transfer Coefficient*Surface Area of Engine Wall*(Engine Wall Surface Temperature-Temperature of Coolant)

Mass of air taken in each cylinder

Go Mass of air taken in each cylinder = (Intake air pressure*(Clearance volume+Displaced volume))/([R]*Intake air temperature)

Heat transfer across engine wall given overall heat transfer coefficient

Go Heat Transfer across Engine Wall = Overall Heat Transfer Coefficient*Surface Area of Engine Wall*(Gas side temperature-Coolant Side Temperature)

Power produced by IC engine given work done by engine

Go Power produced by IC engine = Work done per operating cycle*(Engine speed in rps/Crankshaft revolutions per power stroke)

Engine displacement given number of cylinders

Go Engine Displacement = Engine bore*Engine bore*Stroke Length*0.7854*Number of Cylinders

Rate of cooling of engine

Go Rate of Cooling = Rate of Cooling Constant*(Engine Temperature-Engine surrounding Temperature)

Time taken for engine to cool

Go Time taken to cool Engine = (Engine Temperature-Final Engine Temperature)/Rate of Cooling

Engine rpm

Go Engine RPM = (Speed of vehicle in mph*Gear Ratio of Transmission*336)/Tire Diameter

Kinetic energy stored in flywheel of IC engine

Go Kinetic energy stored in the flywheel = (Flywheel moment of inertia*(Flywheel angular velocity^2))/2

Swept Volume

Go Swept volume = (((pi/4)*Inner Diameter of Cylinder^2)*Stroke Length)

Work done per operating cycle in IC engine

Go Work done per operating cycle = Mean effective pressure in pascals*Displacement volume of piston

Brake output per displacement of piston

Go Brake output per displacement = Brake power per cylinder per stroke/Displaced volume

Engine specific volume

Go Engine specific volume = Displaced volume/Brake power per cylinder per stroke

Brake specific power

Go Brake specific power = Brake power per cylinder per stroke/Area of Piston

Equivalence ratio

Go Equivalence ratio = Actual Air Fuel Ratio/Stoichiometric Air Fuel Ratio

Brake work per cylinder per stroke

Go Brake work per cylinder per stroke = Bmep*Displaced volume

Compression Ratio given Clearance and Swept Volume

Go Compression Ratio = 1+(Swept volume/Clearance volume)

Engine Capacity

Go Engine capacity = Swept volume*Number of Cylinders

Mean piston speed

Go Mean Piston Speed = 2*Stroke Length*Engine Speed

Peak torque of engine

Go Peak Torque of Engine = Engine Displacement*1.25

Engine displacement given number of cylinders Formula

Engine Displacement = Engine bore*Engine bore*Stroke Length*0.7854*Number of Cylinders
E_dis = r*r*L*0.7854*k

What is engine displacement?

Engine displacement is the measure of the cylinder volume swept by all of the pistons of a piston engine, excluding the combustion chambers. It is commonly used as an expression of an engine's size, and by extension as a loose indicator of the power an engine might be capable of producing and the amount of fuel it should be expected to consume.

How to Calculate Engine displacement given number of cylinders?

Engine displacement given number of cylinders calculator uses Engine Displacement = Engine bore*Engine bore*Stroke Length*0.7854*Number of Cylinders to calculate the Engine Displacement, The Engine displacement given number of cylinders formula is defined as the total volumetric area covered by the engine's cylinders in one stroke of piston. Engine Displacement is denoted by E_dis symbol.

How to calculate Engine displacement given number of cylinders using this online calculator? To use this online calculator for Engine displacement given number of cylinders, enter Engine bore (r), Stroke Length (L) & Number of Cylinders (k) and hit the calculate button. Here is how the Engine displacement given number of cylinders calculation can be explained with given input values -> 6.8E+9 = 0.12*0.12*0.15*0.7854*4.

FAQ

What is Engine displacement given number of cylinders?

The Engine displacement given number of cylinders formula is defined as the total volumetric area covered by the engine's cylinders in one stroke of piston and is represented as E_dis = r*r*L*0.7854*k or Engine Displacement = Engine bore*Engine bore*Stroke Length*0.7854*Number of Cylinders. Engine bore is defined as the circular cross section of the engine cylinder and is the radius of the circle of engine cylinder, Stroke length is the distance travelled by piston in cylinder from BDC to TDC or vice versa & Number of Cylinders is the count of the cylinders that are present on the engine.

How to calculate Engine displacement given number of cylinders?

The Engine displacement given number of cylinders formula is defined as the total volumetric area covered by the engine's cylinders in one stroke of piston is calculated using Engine Displacement = Engine bore*Engine bore*Stroke Length*0.7854*Number of Cylinders. To calculate Engine displacement given number of cylinders, you need Engine bore (r), Stroke Length (L) & Number of Cylinders (k). With our tool, you need to enter the respective value for Engine bore, Stroke Length & Number of Cylinders 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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