Liquid Orifice Flow Calculator
Calculate incompressible discharge through a small orifice using entered differential pressure and discharge coefficient.
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Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Convert the pressure difference to an ideal jet speed, then multiply by the orifice area and supplied discharge coefficient.
Q=Cd A√(2 ΔP/ρ); A=πd²/4
Worked example
A 10 mm orifice at 100 kPa pressure difference, density 1000 kg/m³ and Cd=0.62 gives about 41.3188113 L/min.
Assumptions and input details
Steady incompressible discharge from a large upstream region, without appreciable approach velocity. Cd is supplied for the geometry. Cavitation, viscosity-dependent coefficients, pressure recovery, gas flow and actual equipment ratings are excluded.
Unit definitions
Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.
Choose from 23 length definitions, including explicitly labelled regional measures. Area conversions square the length factor; geometric volumes cube it.
Regional measures are not interchangeable merely because their names look similar. This is a documented selection, not a claim to include every historical unit.
NIST measurement tables · Japanese traditional units · Mainland China and Hong Kong unit distinctions
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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