The Hong Kong Polytechnic UniversityDepartment of Aeronautical and Aviation Engineering

FIND THE INTERSECTION.

Compressor Map & Operating Limits

Move the corrected-speed line and the throttle characteristic. Locate the operating point and distinguish a map boundary from a surge prediction.

INTERACTIVE CALCULATED DIAGRAMB · LIVE
Diagram · drag background to pan

Drag the turquoise handles, or focus a handle and use arrow keys. The sliders provide the same controls.

Preparing the calculation…

A · no saved reference

01 / READ THE CHANGE

Two characteristics meet

The compressor pressure rise and downstream resistance must agree at the operating flow. Moving either curve moves their intersection.

02 / READ THE CHANGE

Correct the inlet condition

Corrected mass flow and corrected speed remove a reference pressure/temperature scaling. Actual mass flow still changes with inlet conditions.

03 / READ THE CHANGE

Do not confuse two instabilities

Rotating stall concerns local blade-row flow. Surge involves the whole compression system and storage/inertance. This steady synthetic map predicts neither waveform.

THE SAME MODEL, CONNECTED VIEWS

Follow the calculation

B · solid turquoise   A · dashed amber

Compare A and B

QuantityA · savedB · liveB − AUnit

A remains fixed until saved again. Export includes the model version, settings and plotted data.

Equations, assumptions & sources

Read the balance, then connect each symbol to the model. Open a symbol key for definitions and units. Long equations can be scrolled sideways.

01 · A synthetic speed line

PR=1+3n2[1.1−0.8(qn−0.7)2]

This illustrative curve teaches map interpretation; it is not a measured compressor map.

Symbols & units
n
Normalised corrected speed: selected corrected-speed percentage divided by 100.
q
Normalised corrected flow: corrected mass flow divided by 20 kg/s.
PR
Dimensionless compressor total-pressure ratio.

02 · Find the throttle intersection

PR=1+kq2

The operating point is where the throttle curve intersects the selected speed line.

Symbols & units
k
Dimensionless throttle resistance in this synthetic map.

03 · Convert corrected flow to actual flow

m˙actual=m˙correctedPtPrefTtTref

Corrected flow removes the stated inlet pressure and temperature scaling.

Symbols & units
m˙actual,m˙corrected
Mass-flow rates, kg/s.
Pt,Pref
Inlet total and reference absolute pressures, in the same units; reference 101.325 kPa.
Tt,Tref
Inlet total and reference temperatures, K; reference 288.15 K.

Synthetic map, reference flow 20 kg/s, reference pressure 101.325 kPa and temperature 288.15 K. Boundary q = 0.7n is an illustrative stability boundary, not manufacturer surge data. Reported margin is horizontal flow-distance / operating flow, not a certified surge-margin convention. Inlet temperature/pressure change actual flow, not the selected corrected-speed line.

SFTE · gas turbine propulsion ↗

Physical relations and teaching sources support the stated concepts. Generic coefficients are explicitly illustrative; they are not measured manufacturer data. Numerical verification is separate from experimental validation. Model version: applied-labs-v1.1.

Continue the connection