Eficiência Rankine (aprox.)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
Carnot aprox
About this calculator
The Rankine Efficiency (approx.) Calculator provides a quick estimate of the thermal efficiency of an ideal Rankine cycle using the Carnot approximation. The formula η ≈ 1 − T_C/T_H relates the absolute temperatures of the hot source (T_H) and cold sink (T_C), both in Kelvin. This approximation is valid for ideal cycles without irreversibilities and serves as a theoretical upper limit.
To use the calculator, enter T_H and T_C. The result is the maximum possible efficiency for a cycle operating between these temperatures. Real Rankine cycles have losses such as friction and irreversible heat transfer, resulting in lower efficiencies. This tool is useful for engineers and students comparing real performance to ideal.
Use cases include conceptual designs of thermal power plants, where the impact of different operating temperatures on efficiency is assessed. It is also helpful in thermodynamics classes to demonstrate the Carnot limit. Caution: the approximation does not consider working fluid properties, such as water steam, which can deviate significantly from the Carnot cycle.
Avoid using this calculator for real cycles without adjustments. Real efficiency will always be lower. For accurate calculations, consider more complex models including irreversibilities. The calculator serves as a starting point to understand the fundamentals of thermal efficiency.
Frequently asked questions
Why is the real Rankine cycle efficiency lower than calculated?
Because the calculator uses the Carnot approximation, assuming an ideal cycle without irreversibilities. In practice, there are losses from friction, irreversible heat transfer, and equipment constraints.
Can I use temperatures in Celsius in the calculator?
No, the formula requires absolute temperatures in Kelvin. Convert Celsius to Kelvin by adding 273.15.
Does this calculator work for any working fluid?
The Carnot approximation is fluid-independent, but the real Rankine cycle depends on fluid properties. For steam, behavior differs, so use only as an estimate.
What is the difference between Carnot and Rankine efficiency?
Carnot efficiency is the theoretical maximum for any heat engine. Real Rankine efficiency is lower due to irreversibilities and cycle characteristics.
How can I improve the efficiency of a real Rankine cycle?
By increasing the hot source temperature, decreasing the cold sink temperature, using regeneration, reheat, or combined cycles.