Declared efficiency work arithmetic

Isentropic compressor / turbine

Inputs

Declared machine modeSelect compressor or turbine sign convention; this workspace does not select equipment.

Declared inlet temperatureT1User-entered absolute inlet temperature.

Declared inlet absolute pressurep1User-entered absolute inlet pressure.

Declared outlet absolute pressurep2User-entered absolute outlet pressure.

Declared heat-capacity ratioγ—User-entered constant ratio for the stated ideal gas; property inference is excluded.

Declared constant-pressure specific heatcpkJ/(kg·K)User-entered value for stated work arithmetic.

Declared mass flowṁkg/sUser-entered steady mass flow.

Declared isentropic efficiencyηis%User-entered scalar efficiency used only for stated-work arithmetic.

Declared pressure ratio p₂/p₁

—

Isentropic outlet temperature

475.15

Declared-efficiency outlet temperature

518.93

Declared-efficiency compressor specific work input

220.03

kJ/kg

Declared-efficiency compressor shaft power inputP

110.01

T2s/T1 = (p2/p1)^((γ−1)/γ); wis = cp(T2s−T1); wactual = wis/ηis; P = ṁw

A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.

Calculation snapshot

Formula version 2.0.0

Declared machine mode	compressor
Declared inlet temperature	300
Declared inlet absolute pressure	100
Declared outlet absolute pressure	500
Declared heat-capacity ratio	1.4
Declared constant-pressure specific heat	1.005
Declared mass flow	0.5
Declared isentropic efficiency	80

Declared pressure ratio p₂/p₁	5 —
Isentropic outlet temperature	475.15 K
Declared-efficiency outlet temperature	518.93 K
Declared-efficiency compressor specific work input	220.03 kJ/kg
Declared-efficiency compressor shaft power input	110.01 kW

T2s/T1 = (p2/p1)^((γ−1)/γ) · wis = cp(T2s−T1) · wactual = wis/ηis · P = ṁw

NASA Glenn isentropic-flow reference: https://www.grc.nasa.gov/www/k-12/airplane/isentrop.html

This printout is a record of displayed inputs and deterministic formula output. It is not an approval, certification, or engineering conclusion.

Method

Calculate ideal-gas isentropic outlet state and declared-efficiency specific work and power for a compressor or turbine pressure change.

T2s/T1 = (p2/p1)^((γ−1)/γ); wis = cp(T2s−T1); wactual = wis/ηis; P = ṁw

When

Don’t

This is ideal-gas isentropic state and user-entered-efficiency work arithmetic only. It does not select or rate equipment, use compressor maps, evaluate surge, choking, staging, cooling, losses beyond the declared efficiency, controls, mechanical design, safety, operability, or approval.