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Incompressible Orifice Flow Calculator
Calculate incompressible orifice flow with negligible upstream velocity. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Model volumetric flow Q
Enter values and select Calculate.
Q = C_d A √(2Δp/ρ)
Assumptions
Required: 0≤C_d≤1, A,ρ>0, Δp≥0, equal elevations and negligible upstream velocity in steady incompressible flow. Supply a valid coefficient. Pipe area-ratio correction, compressibility and cavitation are excluded.
Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.
Formula references and credits
- OpenStax · 14 6 bernoullis equation
- University of Texas at Austin · Richard Fitzpatrick · Flow Through an Orifice
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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