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PF-034 · Verified method

Critical Pressure Ratio Calculator

Determine/solve the critical pressure ratio parameter used in ISO 6358 flow characteristics.

Inputs

At least three measured points. Engine fits b numerically.
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ENGINEERING GUIDE

Use the Critical Pressure Ratio Calculator to determine/solve the critical pressure ratio parameter used in ISO 6358 flow characteristics. The calculator uses Measured points: P1_bar_abs,P2_bar_abs,Q_NLmin — one per line and reports critical ratio b.

How to interpret the result

Read the result in the context of the selected units and pressure basis. For this tool, the primary outputs are critical ratio b. Change one input at a time when comparing scenarios so the effect of each variable remains clear.

Formula and methodology

PneumaForge applies this verified method: Fit critical ratio b (and optional subsonic index m) from measured subsonic flow points against ENG-16 using bounded nonlinear least squares. The functional engine is shared with related tools in the iso6358-flow family, while this page solves the specific intent represented by critical pressure ratio pneumatic calculator.

Fit critical ratio b (and optional subsonic index m) from measured subsonic flow points against ENG-16 using bounded nonlinear least squares.

Variables and inputs

  • Measured points: P1_bar_abs,P2_bar_abs,Q_NLmin — one per line

Worked example

Reproducible example: start with the calculator's default values (Measured points: P1_bar_abs,P2_bar_abs,Q_NLmin — one per line = 7,5,400\n7,4,650\n7,3,900) and calculate the result. Then change the variable most relevant to your application and compare the new critical ratio b against the baseline.

Assumptions and limits

Cannot infer b from geometry alone. Require measured/component data; constrain 0<b<1 and m>0.

Engineering tips

  • Use absolute upstream and downstream pressure for compressible-flow equations.
  • Check whether the flow is choked before applying a subcritical relation.
  • For ISO 6358 calculations, use measured C, b and m data from the component manufacturer whenever available.
  • Keep the inputs used for critical pressure ratio calculator on a consistent engineering basis before comparing alternatives.

Frequently asked questions

What does the Critical Pressure Ratio Calculator calculate?

It is designed to determine/solve the critical pressure ratio parameter used in ISO 6358 flow characteristics. The reported outputs are critical ratio b.

What inputs does the Critical Pressure Ratio Calculator use?

The calculator uses Measured points: P1_bar_abs,P2_bar_abs,Q_NLmin — one per line. Only use values that represent the same operating condition or design case.

What formula or method is used?

The calculation follows: Fit critical ratio b (and optional subsonic index m) from measured subsonic flow points against ENG-16 using bounded nonlinear least squares. The page also states the assumptions that define where the method is valid.

Which assumptions can affect the result?

Cannot infer b from geometry alone. Require measured/component data; constrain 0<b<1 and m>0.

Can I use different units?

Yes. PneumaForge converts supported units through canonical engineering units. For compressed-air reference flows and pressure bases, the reference pressure and temperature must also remain consistent.