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Brayton Combustor Total Pressure Loss Calculator

Total pressure loss in a gas turbine combustion chamber directly reduces cycle thermal efficiency and specific thrust.

Total pressure at compressor discharge.

Air Mach number entering the liner / diffuser (typically 0.05 to 0.12).

Combustor temperature rise ratio.

Liner pressure loss coefficient (typically 18 to 28).

Ratio of specific heats (default 1.4).

Calculated Result
10.44%

Combustor Total Pressure Drop (ΔP₀/P₀₃)

Combustor Exit Pressure (P₀₄)

1343.4 kPa

Absolute Head Loss

156.6 kPa

Cold / Liner Loss Share

9.86%

Rayleigh Momentum Heating Loss

0.58%

Calculation Breakdown

  1. Cold Flow Friction LossΔP₀,cold / P₀₃ = 0.5 · γ · M₃² · K = 0.5 · 1.4 · (0.08)² · 22 = 9.86%
  2. Fundamental Momentum Heating LossΔP₀,hot / P₀₃ = 0.5 · γ · M₃² · (T₀₄/T₀₃ - 1) = 0.58%
  3. Combined Combustor Stagnation LossTotal loss = 10.44% (156.6 kPa)

What Is the Brayton Combustor Total Pressure Loss Calculator?

Combustor total pressure loss is the percentage decrease in stagnation pressure between compressor delivery (station 3) and turbine entry (station 4).

It consists of cold-flow friction/mixing losses and fundamental Rayleigh thermal expansion losses.

How Does the Brayton Combustor Total Pressure Loss Calculator Work?

Cold-flow losses result from diffuser deceleration and jet mixing through liner holes.

Fundamental hot loss arises from density reduction during constant-area heat addition accelerating the gas.

Brayton Combustor Total Pressure Loss Calculator Formula & Variables

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

\frac{\Delta P_0}{P_{03}} = \frac{1}{2}\gamma M_3^2 \left[ K + \left( \frac{T_{04}}{T_{03}} - 1 \right) \right]

Combines cold-flow aerodynamic liner loss with Rayleigh fundamental momentum pressure drop.

How to Use the Brayton Combustor Total Pressure Loss Calculator

  1. Input compressor exit pressure, reference inlet Mach number, and temperature rise ratio.
  2. Examine overall pressure drop percentage and absolute exit pressure P04.

Step-by-Step Example Calculation

Aviation Turbofan Combustor

Input Values:

inletTotalPressureKPa:2000
combustorInletMach:0.07
totalTemperatureRatio:2.4
coldFlowLossCoefficient:24
specificHeatRatio:1.4
Worked Steps: Computes ~4.3% total pressure drop across the combustion section.

Understanding Your Result

Typical modern combustors operate with overall pressure losses between 3% and 5%.

Factors That Affect the Result

  • Losses scale with the square of inlet Mach number (M3²); diffusers decelerate the air to keep M3 low.

When Should You Use This Calculator?

  • Gas turbine cycle thermodynamic optimization and combustor aerodynamic sizing.

Assumptions & Limitations

  • Standard low-Mach expansion of compressible momentum loss in annular combustors.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard Lefebvre gas turbine combustion design methodology.

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