THM-25

Brayton efficiency

Ideal gas-turbine cycle.

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GoverningBrayton efficiency

Governing equation

\eta=1-r_p^{(1-\gamma)/\gamma}

where

rp: rp (—)
g: g (—)
eta: Brayton efficiency (—)

Lecture brief

Historical brief

Carnot (1824), Clausius entropy, the first law and later van der Waals and Gibbs potentials turned heat into a state science. The sheets compute work, efficiency and vapour pressure. This sheet (THM-25 — Brayton efficiency) is the form associated with Brayton efficiency. Working symbols: $rp$ , $g$ $\rightarrow$ $eta$ . Ideal gas-turbine cycle. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

eta

from

rp

g

in Thermodynamics via

\eta=1-r_p^{(1-\gamma)/\gamma}

Ideal gas-turbine cycle. Use it when a real thermodynamics question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

rp = 10.000\,\mathrm{—}

g = 1.400\,\mathrm{—}

, the governing relation

\eta=1-r_p^{(1-\gamma)/\gamma}

yields

eta = 0.482\,\mathrm{—}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

rp rp10 —g g1.4 —

Outputs

Brayton efficiency eta0.482 —

Reading speed

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Ideal gas-turbine cycle. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube