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Thermal Efficiency of Otto Cycle Formula

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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. Check FAQs

ε o = 1 - \frac{1}{r^{γ - 1}}

ε_o - Thermal Efficiency of Otto Cycle?r - Compression Ratio?γ - Heat Capacity Ratio?

Thermal Efficiency of Otto Cycle Example

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Here is how the Thermal Efficiency of Otto Cycle equation looks like with Values.

Here is how the Thermal Efficiency of Otto Cycle equation looks like with Units.

Here is how the Thermal Efficiency of Otto Cycle equation looks like.

0.6983 = 1 - \frac{1}{20^{1.4 - 1}}

0.6983 = 1 - \frac{1}{20^{1.4 - 1}}

0.6983 = 1 - \frac{1}{20^{1.4 - 1}}

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Thermal Efficiency of Otto Cycle Solution

Follow our step by step solution on how to calculate Thermal Efficiency of Otto Cycle?

FIRST Step Consider the formula

ε o = 1 - \frac{1}{r^{γ - 1}}

Next Step Substitute values of Variables

∴

ε o = 1 - \frac{1}{20^{1.4 - 1}}

Next Step Prepare to Evaluate

∴

ε o = 1 - \frac{1}{20^{1.4 - 1}}

Next Step Evaluate

∴

ε o = 0.698291183172742

LAST Step Rounding Answer

∴

ε o = 0.6983

Thermal Efficiency of Otto Cycle Formula Elements

Variables

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.

Symbol: ε_o

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Thermal Efficiency of Otto Cycle

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.

Symbol: r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Compression Ratio

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.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Heat Capacity Ratio

Other formulas in Air Standard Cycles category

Go Mean Effective Pressure in Otto Cycle

P O = P 1 \cdot r \cdot (\frac{(r^{γ - 1} - 1) \cdot (r p - 1)}{(r - 1) \cdot (γ - 1)})

Go Mean Effective Pressure in Diesel Cycle

P D = P 1 \cdot \frac{γ \cdot r^{γ} \cdot (r c - 1) - r \cdot ({r c}^{γ} - 1)}{(γ - 1) \cdot (r - 1)}

Go Mean Effective Pressure in Dual Cycle

P d = P 1 \cdot \frac{r^{γ} \cdot ((R p - 1) + γ \cdot R p \cdot (r c - 1)) - r \cdot (R p \cdot {r c}^{γ} - 1)}{(γ - 1) \cdot (r - 1)}

Go Work Output for Otto Cycle

W o = P 1 \cdot V 1 \cdot \frac{(r p - 1) \cdot (r^{γ - 1} - 1)}{γ - 1}

How to Evaluate Thermal Efficiency of Otto Cycle?

Thermal Efficiency of Otto Cycle evaluator uses Thermal Efficiency of Otto Cycle = 1-1/Compression Ratio^(Heat Capacity Ratio-1) to evaluate 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 evaluate Thermal Efficiency of Otto Cycle using this online evaluator? To use this online evaluator for Thermal Efficiency of Otto Cycle, enter Compression Ratio (r) & Heat Capacity Ratio (γ) and hit the calculate button.

FAQs on Thermal Efficiency of Otto Cycle

What is the formula to find Thermal Efficiency of Otto Cycle?

The formula of Thermal Efficiency of Otto Cycle is expressed as Thermal Efficiency of Otto Cycle = 1-1/Compression Ratio^(Heat Capacity Ratio-1). Here is an example- 0.698291 = 1-1/20^(1.4-1).

How to calculate Thermal Efficiency of Otto Cycle?

With Compression Ratio (r) & Heat Capacity Ratio (γ) we can find Thermal Efficiency of Otto Cycle using the formula - Thermal Efficiency of Otto Cycle = 1-1/Compression Ratio^(Heat Capacity Ratio-1).

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Thermal Efficiency of Otto Cycle Formula

Thermal Efficiency of Otto Cycle Example

Thermal Efficiency of Otto Cycle Solution

Thermal Efficiency of Otto Cycle Formula Elements

Other formulas in Air Standard Cycles category

How to Evaluate Thermal Efficiency of Otto Cycle?

FAQs on Thermal Efficiency of Otto Cycle

Variable Name