Skip to main content
CalcPro

Gas Turbine Brayton Cycle Thermal Efficiency & Optimum Pressure Ratio Calculator

Easily calculate and compute gas turbine brayton cycle thermal efficiency & optimum pressure ratio calculator with accurate equations, live formulas, and expert guidance.

Compressor discharge to ambient inlet total pressure ratio.

Maximum cycle temperature entering turbine first stage.

Ambient air intake temperature (ISA standard = 288.15 K / 15 °C).

Effective gas specific heat ratio.

Calculated Result
54.88 %

Brayton Efficiency

Brayton Efficiency

54.88 %

Brayton Thermal Efficiency Percent

54.88

Optimum Pressure Ratio For Max Work

21.22

Back Work Ratio Percent

41.2

Compressor Discharge Temp K

638.7

54.88 — %

Calculation Breakdown

  1. Applied FormulaCalculates the simple gas turbine Brayton cycle thermal efficiency, compressor back work ratio (BWR), and optimum pressure ratio for maximum specific work.\eta_{th} = 1 - r_p^{-\frac{\gamma-1}{\gamma}}, \quad r_{p,max\,work} = \left( \frac{T_3}{T_1} \right)^{\frac{\gamma}{2(\gamma - 1)}}

Brayton Turbine Cycle Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.014274155Brayton Efficiency

What Is the Gas Turbine Brayton Cycle Thermal Efficiency & Optimum Pressure Ratio Calculator?

This tool computes gas turbine brayton cycle thermal efficiency & optimum pressure ratio calculator with high precision arithmetic.

How Does the Gas Turbine Brayton Cycle Thermal Efficiency & Optimum Pressure Ratio Calculator Work?

Calculates the simple gas turbine Brayton cycle thermal efficiency, compressor back work ratio (BWR), and optimum pressure ratio for maximum specific work.

Gas Turbine Brayton Cycle Thermal Efficiency & Optimum Pressure Ratio Calculator Formula & Variables

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

ηth=1−rp−γ−1γ,rp,max work=(T3T1)γ2(γ−1)\eta_{th} = 1 - r_p^{-\frac{\gamma-1}{\gamma}}, \quad r_{p,max\,work} = \left( \frac{T_3}{T_1} \right)^{\frac{\gamma}{2(\gamma - 1)}}

Calculates the simple gas turbine Brayton cycle thermal efficiency, compressor back work ratio (BWR), and optimum pressure ratio for maximum specific work.

How to Use the Gas Turbine Brayton Cycle Thermal Efficiency & Optimum Pressure Ratio Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Gas Turbine Brayton Cycle Thermal Efficiency & Optimum Pressure Ratio Calculator Example

Input Values:

pressureRatioRp:18.0
turbineInletTempK:1550.0
ambientAirTempK:288.15
gammaRatio:1.38
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required %.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

\n

Related Calculators

Explore more tools and calculators in Physics Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Ohm's Law & Electrical Power Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) across DC circuits.

Density, Mass & Volume Calculator

Calculate density (ρ = m/V), material mass, or physical volume for solids, liquids, and gases.

Steam Turbine Surface Condenser Cooling Water Duty Calculator

Calculates surface condenser thermal heat rejection (MWth), circulating cooling water pumping volume (m³/h), and steam condensation rate.