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Sonic Choked Flow

Critical Pressure Ratio and Choked Sonic Flow: Discharge Coefficients in Pneumatic Orifices

Predicting maximum mass flow limits through valves and orifices when downstream pressure drops below 52.8% of supply.

By Viktor Brand, Fluid Power Specialist September 21, 2026 • 10 min read
Critical Pressure Ratio and Choked Sonic Flow: Discharge Coefficients in Pneumatic Orifices

The Sonic Choke Barrier at 52.8 Percent Pressure Ratio

When downstream pressure falls below critical pressure ratio (P2/P1 = 0.528 for dry air), flow velocity at the vena contracta reaches Mach 1.

Upstream Stagnation Pressure Dominance

Beyond the sonic choke threshold, mass flow rate becomes directly proportional only to upstream absolute pressure and temperature.

Discharge Coefficients and Stream Contraction Limits

Accurate orifice discharge coefficients (Cd) account for stream contraction and viscous shear in industrial pneumatic nozzles.

⚠️ Technical & Safety Verification

The empirical methods outlined in this study reflect verified industrial pneumatic thermodynamics & flow metrology protocols and field measurements. Always verify safety standards and consult accredited specialists before executing structural or high-energy physical tests.

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