Rankine Cycle Calculator
Calculate Rankine cycle efficiency, turbine work, pump work, and heat input from state-point enthalpies
This free online rankine cycle calculator provides instant results with no signup required. All calculations run directly in your browser — your data is never sent to a server. Supports both metric (SI) and imperial units with built-in unit selection dropdowns on every input field, so you can work in whatever units your problem provides. Designed for engineering students and professionals working through coursework, design projects, or quick reference calculations.
Rankine Cycle Calculator
Ideal and actual Rankine cycle with pump and turbine efficiencies
Thermal Efficiency
28.95%
Back-work ratio: 0.43%
State Point Enthalpies (kJ/kg)
h₁
191.8
h₂
195.6
h₃
3230.9
h₄
2348.5
Work & Heat (kJ/kg)
W_turbine
882.4
W_pump
3.8
W_net
878.6
Q_in
3035.3
How to Use This Calculator
Enter your input values
Fill in all required input fields for the Rankine Cycle Calculator. Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.
Review your inputs
Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.
Read the results
The Rankine Cycle Calculator instantly computes the output and displays results with units clearly labeled. All calculations happen in your browser — no loading time and no data sent to a server.
Explore parameter sensitivity
Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.
Formula Reference
Rankine Cycle Calculator Formula
See calculator inputs for the governing equation
Variables: All variables and their units are labeled in the calculator interface above. Input fields accept values in multiple unit systems — select your preferred unit from the dropdown next to each field.
When to Use This Calculator
- •Use the Rankine Cycle Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations — instant feedback helps identify arithmetic errors before they propagate.
- •Use it during the early design phase to rapidly iterate on parameters and narrow down feasible configurations before committing time to detailed finite element simulations or full design packages.
- •Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility — a quick sanity check can prevent costly downstream errors.
- •Use it to generate reference data for a technical report or presentation without manual computation, ensuring consistent, reproducible numbers throughout the document.
- •Use it in the field when a quick estimate is needed and a full engineering software package is not available.
About This Calculator
The Rankine Cycle Calculator is a precision engineering calculation tool designed for students, engineers, and technical professionals. Calculate Rankine cycle efficiency, turbine work, pump work, and heat input from state-point enthalpies All calculations are performed using established engineering formulas from the relevant scientific literature and standards. Inputs support both metric (SI) and imperial unit systems, with unit conversion handled automatically — simply select your preferred unit from the dropdown next to each field. Results are computed instantly in the browser without sending data to a server, ensuring both speed and privacy. This calculator is intended as a supplementary tool for learning and design exploration; always verify results against authoritative references for safety-critical applications.
The Theory Behind It
The Rankine cycle is the fundamental thermodynamic cycle for steam power plants. It consists of four processes with water as the working fluid: (1) isentropic compression of liquid water in a feed pump from condenser pressure to boiler pressure (small work input), (2) constant-pressure heat addition in the boiler, raising temperature and then vaporizing the water at constant temperature, (3) isentropic expansion through the turbine from boiler pressure to condenser pressure (work output), and (4) constant-pressure heat rejection in the condenser, condensing steam back to liquid at condenser temperature. The theoretical efficiency depends on the temperatures and pressures: higher boiler pressure and temperature increase efficiency; lower condenser pressure (deeper vacuum) increases efficiency. Modern supercritical steam plants operate above the water critical point (22.064 MPa, 373.95°C) where there is no distinct liquid-vapor phase transition, achieving thermal efficiencies of 40-45%. Ultra-supercritical plants push pressures above 30 MPa and temperatures above 600°C for efficiencies up to 48%. The basic Rankine cycle is typically enhanced with: reheat (steam is removed at intermediate pressure, reheated, and expanded through a second turbine stage, improving efficiency 4-8%), regeneration (feedwater is preheated using extracted steam, improving efficiency 5-15%), and supercritical operation. Combined-cycle plants use a gas turbine exhaust to generate steam for a Rankine cycle, reaching 58-63% overall efficiency by combining the high-temperature advantage of gas turbines with the Rankine cycle's ability to extract more work at lower temperatures.
Real-World Applications
- •Steam power plant design: size the boiler, turbine, condenser, and pump for a target power output and efficiency, using the Rankine cycle as the starting analysis.
- •Nuclear reactor secondary cycle analysis: pressurized water reactors use a steam generator to create secondary-loop steam that drives a Rankine cycle turbine. The primary loop water carries heat from the reactor core.
- •Solar thermal power (CSP): concentrating solar plants heat a working fluid to high temperatures that drive a Rankine cycle. Molten salt storage allows the Rankine cycle to operate when sunlight isn't available.
- •Geothermal power: geothermal steam or hot water drives a Rankine cycle. Binary cycles use a secondary organic working fluid (isopentane, isobutane) that boils at lower temperatures than water.
- •Waste heat recovery: organic Rankine cycles (ORC) use fluids with lower boiling points than water to recover waste heat from industrial processes, gas turbine exhaust, or engine exhaust.
Frequently Asked Questions
What is the Rankine cycle?
The Rankine cycle is the thermodynamic cycle for steam power plants, consisting of feedwater pump, boiler, turbine, and condenser. Water is pumped to high pressure, heated in the boiler, expanded through the turbine, and condensed back to liquid. The net work output is the turbine work minus the pump work, with heat input from the boiler. Typical real-world efficiencies are 35-45% for modern plants and up to 48% for ultra-supercritical designs.
How is Rankine cycle efficiency computed?
η = (W_turbine − W_pump) / Q_boiler = (h₁ − h₂) / (h₁ − h_pump_out), where h values are enthalpies at the cycle state points. The turbine work equals the enthalpy drop from inlet to exit (h₁ − h₂). The pump work is small: W_pump ≈ v_f × (P_high − P_low) where v_f is the liquid specific volume. For accurate analysis, use steam tables or NIST REFPROP to look up enthalpies at each state.
What is a supercritical steam plant?
A supercritical plant operates above the water critical point (22.064 MPa, 373.95°C). Above this pressure, there is no distinct liquid-vapor phase transition — the fluid changes from 'liquid-like' to 'vapor-like' continuously. Supercritical operation allows higher efficiency (40-45% vs 35-40% for subcritical) and higher steam temperatures (up to 600°C+). Ultra-supercritical plants push above 30 MPa and 625°C, reaching 48% efficiency with advanced alloys and materials.
What is reheat and regeneration?
Reheat: after partial expansion in the high-pressure turbine, steam is routed back to the boiler and reheated before entering the intermediate-pressure turbine. This increases average heat-addition temperature, boosting efficiency by 4-8%. Regeneration: a portion of partially-expanded steam is extracted from the turbine to preheat the feedwater, reducing heat input required in the boiler and improving efficiency by 5-15%. Most large steam plants use both techniques to maximize efficiency.
Why use water as the working fluid?
Water has several advantages: (1) high latent heat of vaporization (2257 kJ/kg at 100°C) enables large energy transfer per kg of fluid; (2) wide liquid-vapor temperature range covers the 30-625°C operating range; (3) widely available and inexpensive; (4) non-toxic and non-flammable; (5) well-characterized thermodynamic properties. Alternative fluids (organic fluids, mercury historically) are used for specific low-temperature or high-temperature applications but water remains dominant for central power generation.
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