Eficiência Ciclo Diesel
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
η Diesel
About this calculator
The Diesel Cycle Efficiency Calculator determines the thermal efficiency of an ideal diesel engine. The Diesel cycle is a thermodynamic cycle that models compression-ignition engines, where combustion occurs at constant pressure. Efficiency is calculated using the formula η = 1 − (1/r^(γ−1))·((α^γ−1)/(γ(α−1))), where r is the compression ratio, α is the cutoff ratio (volume after combustion over volume before combustion), and γ is the specific heat ratio (cp/cv). The result is a value between 0 and 1, which can be expressed as a percentage.
This tool is useful for mechanical engineers, thermodynamics students, and professionals designing or analyzing diesel engines. By knowing the compression ratio and cutoff ratio, you can estimate the maximum theoretical efficiency of the engine, disregarding losses from friction, heat transfer, and incomplete combustion. Real diesel cycles have lower efficiency, but this calculation serves as a reference for project optimization.
To use the calculator, enter positive values for the compression ratio (r, typically between 14 and 25), the cutoff ratio (α, between 1 and 3), and the specific heat ratio (γ, for air about 1.4). The result is instantaneous. Caution: very high α values reduce efficiency; excessively high compression ratios can cause knocking in real engines. The formula assumes an ideal gas with constant specific heats.
The Diesel cycle efficiency is higher than the Otto cycle for the same compression ratio because constant-pressure combustion allows greater gas expansion. However, diesel engines operate at higher compression ratios, which contributes to their superior efficiency. This calculator helps understand theoretical limits and the influence of parameters on performance.
Frequently asked questions
What does Diesel cycle efficiency mean?
It is the maximum theoretical thermal efficiency of an ideal diesel engine, given by the ratio of work output to heat input.
What is the difference between Diesel and Otto cycles?
In the Diesel cycle, combustion occurs at constant pressure, while in the Otto cycle it is at constant volume. For the same compression ratio, Diesel is more efficient.
Why does efficiency increase with compression ratio?
Higher compression ratio raises the temperature at the end of compression, allowing greater expansion and work extraction, thus increasing efficiency.
What is the cutoff ratio (α)?
It is the ratio of volume after combustion to volume before combustion. Higher α means more fuel injected, but efficiency decreases.
Can I use this calculator for real engines?
Yes, but the result is theoretical. Real engines have losses from friction, heat, and incomplete combustion, resulting in lower efficiency.