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Mach Number

Assess compressibility effects from the ratio of flow speed to sound speed.

visual calculatorDimensionless Numbers

Read the flow shape before trusting the number.

This page turns a CFD setup into regime, scale, and dominant-effect cues. Adjust the calculator below and compare the moving graphic with the computed result.

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Machcompressiblespeed of sound
formula
KaTeX rendered
M = U / aa = sqrt(gamma R T)\begin{aligned}\text{M = U / a}\\[0.35em]\text{a = sqrt(gamma R T)}\end{aligned}
ASCII sourceM = U / a, a = sqrt(gamma R T)
a — sound speed
346.0 m/s
M
0.983 · Transonic

M < 0.3 incompressible, 0.3–0.8 subsonic, 0.8–1.2 transonic, 1.2–5 supersonic, > 5 hypersonic.