Thermal Efficiency of Otto Cycle Calculator

✖Compression ratio refers to how much the air-fuel mixture is squeezed in the cylinder before ignition. It's essentially the ratio between the volume of the cylinder at BDC to TDC.ⓘ Compression Ratio [r]			+10% -10%
✖The Heat Capacity Ratio or, adiabatic index quantifies the relationship between heat added at constant pressure and the resulting temperature increase compared to heat added at constant volume.ⓘ Heat Capacity Ratio [γ]			+10% -10%

✖The Thermal Efficiency of Otto Cycle represents the effectiveness of petrol engine. It is measured by comparing how much work is done through out the system to the heat supplied to the system.ⓘ Thermal Efficiency of Otto Cycle [ε_o]

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Formula

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Thermal Efficiency of Otto Cycle

Formula

`"ε"_{"o"} = 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

Thermal Efficiency of Otto Cycle = 1-1/Compression Ratio^(Heat Capacity Ratio-1)
ε_o = 1-1/r^(γ-1)
This formula uses 3 Variables

Variables Used

Thermal Efficiency of Otto Cycle - The Thermal Efficiency of Otto Cycle represents the effectiveness of petrol engine. It is measured by comparing how much work is done through out the system to the heat supplied to the system.
Compression Ratio - Compression ratio refers to how much the air-fuel mixture is squeezed in the cylinder before ignition. It's essentially the ratio between the volume of the cylinder at BDC to TDC.
Heat Capacity Ratio - The Heat Capacity Ratio or, adiabatic index quantifies the relationship between heat added at constant pressure and the resulting temperature increase compared to heat added at constant volume.

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

ε_o = 1-1/r^(γ-1) --> 1-1/20^(1.4-1)

Evaluating ... ...

ε_o = 0.698291183172742

STEP 3: Convert Result to Output's Unit

0.698291183172742 --> No Conversion Required

FINAL ANSWER

0.698291183172742 ≈ 0.698291 <-- Thermal Efficiency of Otto Cycle

(Calculation completed in 00.004 seconds)

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Created by Peri Krishna Karthik

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

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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))/([R]*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 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 = 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 Efficiency of Otto Cycle = 100*(1-1/(Compression Ratio^(Heat Capacity Ratio-1)))

Thermal Efficiency of Otto Cycle

Go Thermal Efficiency of Otto Cycle = 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 Efficiency = Indicated Thermal Efficiency/Relative Efficiency

Actual Air Fuel Ratio

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

Thermal Efficiency of Otto Cycle Formula

Thermal Efficiency of Otto Cycle = 1-1/Compression Ratio^(Heat Capacity Ratio-1)
ε_o = 1-1/r^(γ-1)

What are the theoretical processes involved in the otto cycle?

Isentropic Compression(1-2): Air-fuel mixture is compressed in the cylinder without heat transfer, raising pressure and temperature.
Constant Volume Heat Addition(2-3): Spark ignition causes the air-fuel mixture to combust rapidly at a constant volume, significantly increasing temperature.
Isentropic Expansion(3-4): The hot, high-pressure gas expands in the cylinder, performing work on the piston.
Constant Pressure Heat Rejection(4-1): Heat is removed from the cylinder at a constant pressure, lowering temperature and pressure back to its starting point.

How to Calculate Thermal Efficiency of Otto Cycle?

Thermal Efficiency of Otto Cycle calculator uses Thermal Efficiency of Otto Cycle = 1-1/Compression Ratio^(Heat Capacity Ratio-1) to calculate the Thermal Efficiency of Otto Cycle, Thermal Efficiency of Otto Cycle measures how efficiently a petrol engine converts heat energy from fuel into mechanical work. It reflects the effectiveness of converting heat from burning fuel into usable work output at crankshaft. By maximizing this efficiency, petrol engines can achieve better performance and fuel economy. Thermal Efficiency of Otto Cycle is denoted by ε_o 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?

Thermal Efficiency of Otto Cycle measures how efficiently a petrol engine converts heat energy from fuel into mechanical work. It reflects the effectiveness of converting heat from burning fuel into usable work output at crankshaft. By maximizing this efficiency, petrol engines can achieve better performance and fuel economy and is represented as ε_o = 1-1/r^(γ-1) or Thermal Efficiency of Otto Cycle = 1-1/Compression Ratio^(Heat Capacity Ratio-1). Compression ratio refers to how much the air-fuel mixture is squeezed in the cylinder before ignition. It's essentially the ratio between the volume of the cylinder at BDC to TDC & The Heat Capacity Ratio or, adiabatic index quantifies the relationship between heat added at constant pressure and the resulting temperature increase compared to heat added at constant volume.

How to calculate Thermal Efficiency of Otto Cycle?

Thermal Efficiency of Otto Cycle measures how efficiently a petrol engine converts heat energy from fuel into mechanical work. It reflects the effectiveness of converting heat from burning fuel into usable work output at crankshaft. By maximizing this efficiency, petrol engines can achieve better performance and fuel economy is calculated using Thermal Efficiency of Otto Cycle = 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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