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Choked Mass Flow

Compute choked nozzle mass flow rate and critical state at the throat.

shock
visual calculatorCompressible Flow

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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input scale
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model
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check
compressiblenozzlechoked flowmass flow
formula
KaTeX rendered
mdot = Cd A p0 sqrt(gamma / (R T0)) [2 / (gamma + 1)]ˆ((gamma + 1) / (2 (gamma - 1)))\begin{aligned}\text{mdot = Cd A p0 sqrt(gamma / (R T0)) [2 / (gamma + 1)]\^{}((gamma + 1) / (2 (gamma - 1)))}\end{aligned}
ASCII sourcemdot = Cd A p0 sqrt(gamma / (R T0)) [2 / (gamma + 1)]^((gamma + 1) / (2 (gamma - 1)))
mdot (kg/s)
0.0686
mdot / A (kg/s/m^2)
686.0662
T* (K)
250.0000
p* (Pa)
1.585e+5

Use this when the nozzle throat is sonic. The result is the maximum mass flow rate available from the given stagnation state.

compressiblenozzlechoked flowmass flow