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Otto Cycle Thermal Efficiency & Compression Ratio Calculator

The ideal Otto cycle models spark-ignition (petrol/gasoline) internal combustion engines.

Ratio of max cylinder volume to clearance volume (V1 / V2).

Ratio of specific heats (1.4 for standard air).

Calculated Result
60.19 %

Otto Thermal Efficiency

Compression Ratio

10.0:1

Ratio of Specific Heats

1.40

Calculation Breakdown

  1. Air Standard Efficiencyeta = 1 - (1 / r^(gamma - 1)) = 1 - (1 / 10^(1.4-1)) = 60.19 %

What Is the Otto Cycle Thermal Efficiency & Compression Ratio Calculator?

The Otto cycle is the benchmark theoretical thermodynamic cycle for four-stroke spark-ignition engines.

How Does the Otto Cycle Thermal Efficiency & Compression Ratio Calculator Work?

Heat is added at constant volume during combustion; higher compression ratio increases theoretical efficiency.

Otto Cycle Thermal Efficiency & Compression Ratio Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\eta_{\text{th}} = 1 - \frac{1}{r^{\gamma - 1}}

Air-standard thermal efficiency for ideal Otto cycle.

How to Use the Otto Cycle Thermal Efficiency & Compression Ratio Calculator

  1. Input engine geometric compression ratio and ratio of specific heats.

Step-by-Step Example Calculation

Automotive Gasoline Engine

Input Values:

compressionRatioRc:10
specificHeatRatioGamma:1.4
Worked Steps: Predicts ideal air-standard thermal efficiency of 60.19% at 10:1 compression ratio.

Understanding Your Result

Outputs ideal thermodynamic efficiency percentage.

Factors That Affect the Result

  • Increasing compression ratio boosts efficiency but is bounded by engine knock / autoignition limits.

When Should You Use This Calculator?

  • Automotive powertrain preliminary design and thermodynamic thermodynamic comparisons.

Assumptions & Limitations

  • Air-standard assumption with ideal gas behavior and instantaneous combustion.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Classic thermodynamic relation derived by Nicolaus Otto.

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