Thermal Efficiency of Otto Cycle Calculator

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✖Compression ratio is ratio of volume of cylinder to volume combustion chamber.ⓘ Compression Ratio [r]			+10% -10%
✖The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heat at constant pressure to specific heat at constant volume of air.ⓘ Heat Capacity Ratio [γ]			+10% -10%

✖OTE is efficiency of Otto cycle idealized thermodynamic cycle that describes functioning of typical spark ignition piston engine. It is thermodynamic cycle mostly found in automobile engines.ⓘ Thermal Efficiency of Otto Cycle

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Formula

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Thermal Efficiency of Otto Cycle

Formula

`"OTE" = 1-1/"r"^("γ"-1)`

Example

`"0.698291"=1-1/("20")^("1.4"-1)`

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Thermal Efficiency of Otto Cycle Solution

STEP 0: Pre-Calculation Summary

Formula Used

OTE = 1-1/Compression Ratio^(Heat Capacity Ratio-1)
OTE = 1-1/r^(γ-1)
This formula uses 3 Variables

Variables Used

OTE - OTE is efficiency of Otto cycle idealized thermodynamic cycle that describes functioning of typical spark ignition piston engine. It is thermodynamic cycle mostly found in automobile engines.
Compression Ratio - Compression ratio is ratio of volume of cylinder to volume combustion chamber.
Heat Capacity Ratio - The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heat at constant pressure to specific heat at constant volume of air.

STEP 1: Convert Input(s) to Base Unit

Compression Ratio: 20 --> No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

OTE = 1-1/r^(γ-1) --> 1-1/20^(1.4-1)

Evaluating ... ...

OTE = 0.698291183172742

STEP 3: Convert Result to Output's Unit

0.698291183172742 --> No Conversion Required

FINAL ANSWER

0.698291183172742 ≈ 0.698291 <-- OTE

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Air-Standard Cycles » Thermal Efficiency of Otto Cycle

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has created this Calculator and 200+ more calculators!

Verified by Aditya verma

maulana azad national institute of technology (NIT bhopal), Bhopal m.p india

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< 18 Air-Standard Cycles Calculators

Mean Effective Pressure in Dual Cycle

Go Mean Effective Pressure of Dual Cycle = Pressure at Start of Isentropic Compression*(Compression Ratio^Heat Capacity Ratio*((Pressure Ratio in Dual Cycle-1)+Heat Capacity Ratio*Pressure Ratio in Dual Cycle*(Cut-off Ratio-1))-Compression Ratio*(Pressure Ratio in Dual Cycle*Cut-off Ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression Ratio-1))

Thermal Efficiency of Stirling Cycle given Heat Exchanger Effectiveness

Go Thermal Efficiency of Stirling Cycle = 100*(([R]*ln(Compression Ratio)*(Final Temperature-Initial Temperature))/(Universal Gas Constant*Final Temperature*ln(Compression Ratio)+Molar Specific Heat Capacity at Constant Volume*(1-Effectiveness of Heat Exchanger)*(Final Temperature-Initial Temperature)))

Work Output for Dual Cycle

Go Work Output of Dual Cycle = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*(Compression Ratio^(Heat Capacity Ratio-1)*(Heat Capacity Ratio*Pressure Ratio*(Cut-off Ratio-1)+(Pressure Ratio-1))-(Pressure Ratio*Cut-off Ratio^(Heat Capacity Ratio)-1))/(Heat Capacity Ratio-1)

Work Output for Diesel Cycle

Go Work Output of Diesel Cycle = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*(Compression Ratio^(Heat Capacity Ratio-1)*(Heat Capacity Ratio*(Cut-off Ratio-1)-Compression Ratio^(1-Heat Capacity Ratio)*(Cut-off Ratio^(Heat Capacity Ratio)-1)))/(Heat Capacity Ratio-1)

Mean Effective Pressure in Diesel Cycle

Go Mean Effective Pressure of Diesel Cycle = Pressure at Start of Isentropic Compression*(Heat Capacity Ratio*Compression Ratio^Heat Capacity Ratio*(Cut-off Ratio-1)-Compression Ratio*(Cut-off Ratio^Heat Capacity Ratio-1))/((Heat Capacity Ratio-1)*(Compression Ratio-1))

Thermal Efficiency of Dual Cycle

Go Thermal Efficiency of Dual Cycle = 100*(1-1/(Compression Ratio^(Heat Capacity Ratio-1))*((Pressure Ratio in Dual Cycle*Cut-off Ratio^Heat Capacity Ratio-1)/(Pressure Ratio in Dual Cycle-1+Pressure Ratio in Dual Cycle*Heat Capacity Ratio*(Cut-off Ratio-1))))

Mean Effective Pressure in Otto Cycle

Go Mean Effective Pressure of Otto Cycle = Pressure at Start of Isentropic Compression*Compression Ratio*(((Compression Ratio^(Heat Capacity Ratio-1)-1)*(Pressure Ratio-1))/((Compression Ratio-1)*(Heat Capacity Ratio-1)))

Thermal Efficiency of Atkinson Cycle

Go Thermal Efficiency of Atkinson Cycle = 100*(1-Heat Capacity Ratio*((Expansion Ratio-Compression Ratio)/(Expansion Ratio^(Heat Capacity Ratio)-Compression Ratio^(Heat Capacity Ratio))))

Work Output for Otto Cycle

Go Work Output of Otto Cycle = Pressure at Start of Isentropic Compression*Volume at Start of Isentropic Compression*((Pressure Ratio-1)*(Compression Ratio^(Heat Capacity Ratio-1)-1))/(Heat Capacity Ratio-1)

Air Standard Efficiency for Diesel Engines

Go Air Standard Efficiency of Diesel Cycle = 100*(1-1/(Compression Ratio^(Heat Capacity Ratio-1))*(Cut-off Ratio^(Heat Capacity Ratio)-1)/(Heat Capacity Ratio*(Cut-off Ratio-1)))

Thermal Efficiency of Diesel Cycle

Go Thermal Efficiency of Diesel Cycle = 100*(1-1/Compression Ratio^(Heat Capacity Ratio-1)*(Cut-off Ratio^Heat Capacity Ratio-1)/(Heat Capacity Ratio*(Cut-off Ratio-1)))

Thermal Efficiency of Lenoir Cycle

Go Thermal Efficiency of Lenoir Cycle = 100*(1-Heat Capacity Ratio*((Pressure Ratio^(1/Heat Capacity Ratio)-1)/(Pressure Ratio-1)))

Thermal Efficiency of Ericsson Cycle

Go Thermal Efficiency of Ericsson Cycle = (Higher Temperature-Lower Temperature)/(Higher Temperature)

Air Standard Efficiency for Petrol engines

Go Air Standard Efficiency of Otto Cycle = 100*(1-1/(Compression Ratio^(Heat Capacity Ratio-1)))

Relative Air-Fuel Ratio

Go Relative Air Fuel Ratio = Actual Air Fuel Ratio/Stoichiometric Air Fuel Ratio

Air Standard Efficiency given Relative Efficiency

Go Air Standard Efficiency = Indicated Thermal Efficiency/Relative Efficiency

Thermal Efficiency of Otto Cycle

Go OTE = 1-1/Compression Ratio^(Heat Capacity Ratio-1)

Actual Air Fuel Ratio

Go Actual Air Fuel Ratio = Mass of Air/Mass of Fuel

Thermal Efficiency of Otto Cycle Formula

OTE = 1-1/Compression Ratio^(Heat Capacity Ratio-1)
OTE = 1-1/r^(γ-1)

What is the thermal efficiency of an engine?

For a heat engine, thermal efficiency is the ratio of the net work output to the heat input; in the case of a heat pump, thermal efficiency (known as the coefficient of performance) is the ratio of net heat output (for heating), or the net heat removed (for cooling) to the energy input (external work).

How to Calculate Thermal Efficiency of Otto Cycle?

Thermal Efficiency of Otto Cycle calculator uses OTE = 1-1/Compression Ratio^(Heat Capacity Ratio-1) to calculate the OTE, The Thermal Efficiency of Otto Cycle formula is defined as the percentage of heat energy that is transformed into work. OTE is denoted by OTE symbol.

How to calculate Thermal Efficiency of Otto Cycle using this online calculator? To use this online calculator for Thermal Efficiency of Otto Cycle, enter Compression Ratio (r) & Heat Capacity Ratio (γ) and hit the calculate button. Here is how the Thermal Efficiency of Otto Cycle calculation can be explained with given input values -> 0.698291 = 1-1/20^(1.4-1).

FAQ

What is Thermal Efficiency of Otto Cycle?

The Thermal Efficiency of Otto Cycle formula is defined as the percentage of heat energy that is transformed into work and is represented as OTE = 1-1/r^(γ-1) or OTE = 1-1/Compression Ratio^(Heat Capacity Ratio-1). Compression ratio is ratio of volume of cylinder to volume combustion chamber & The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heat at constant pressure to specific heat at constant volume of air.

How to calculate Thermal Efficiency of Otto Cycle?

The Thermal Efficiency of Otto Cycle formula is defined as the percentage of heat energy that is transformed into work is calculated using OTE = 1-1/Compression Ratio^(Heat Capacity Ratio-1). To calculate Thermal Efficiency of Otto Cycle, you need Compression Ratio (r) & Heat Capacity Ratio (γ). With our tool, you need to enter the respective value for Compression Ratio & Heat Capacity Ratio 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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