What Is the Gas Turbine Brayton Cycle Thermal Efficiency Calculator?
The Brayton cycle models the thermodynamic transformation of air and fuel into mechanical shaft work in gas turbines.
How Does the Gas Turbine Brayton Cycle Thermal Efficiency Calculator Work?
Compressor raises air pressure; combustor adds thermal energy at constant pressure; turbine extracts work to drive compressor and generator.
Gas Turbine Brayton Cycle Thermal Efficiency Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
\eta_{\text{ideal}} = 1 - \frac{1}{r_p^{(\gamma-1)/\gamma}}, \quad \eta_{\text{real}} = \frac{w_{\text{turb}} - w_{\text{comp}}}{q_{\text{in}}}
Ideal and non-ideal thermal efficiency relations for the Brayton gas turbine cycle.
How to Use the Gas Turbine Brayton Cycle Thermal Efficiency Calculator
- Input pressure ratio, specific heat ratio, component isentropic efficiencies, and cycle peak temperatures.
Step-by-Step Example Calculation
Heavy-Duty Industrial Gas Turbine
Input Values:
pressureRatioRp:16
specificHeatRatioGamma:1.4
compressorIsentropicEfficiencyPercent:86
turbineIsentropicEfficiencyPercent:90
turbineInletTempK:1500
compressorInletTempK:300
Worked Steps: Predicts ideal efficiency of 54.6% and real cycle thermal efficiency of 37.8% with 42.1% back work ratio.
Understanding Your Result
Shows real vs ideal thermal efficiency, back work ratio, and compressor/turbine discharge temperatures.
Factors That Affect the Result
- Higher firing temperature T3 dramatically increases net specific work and overall efficiency.
When Should You Use This Calculator?
- Combined cycle gas turbine (CCGT) power plant modeling and aviation turbofan engine analysis.
Assumptions & Limitations
- Cold air-standard analysis with constant specific heats unless real component efficiencies are supplied.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard thermodynamics formulation per ASME PTC 22 gas turbine performance codes.