Use this engineering calculation for a transparent preliminary estimate or independent arithmetic check when geometry, materials, loads, operating conditions, and units are defined consistently.

Density Kg Per M3 (kg/m³)

Required number input.

Wave Speed Meters Per Second (m/s)

Required number input.

Velocity Change Meters Per Second (m/s)

Required number input.

Joukowsky sudden-closure pressure rise Δp=ρaΔv using specified wave speed. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Pressure Rise Pascals (Pa)

The resulting pressure rise pascals returned as a number.

• Hydraulic equations require consistent datum, fluid properties, geometry, roughness, flow regime, and loss coefficients. Cavitation, air entrainment, unsteady flow, fittings, sediment, free-surface effects, and pump behavior may require a network or numerical model.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check assumptions against drawings, measurements, current material data, and the applicable design code. Apply required load combinations and safety factors, then obtain qualified review and testing for consequential designs.

• Cam Lift Simple Harmonic

  Simple-harmonic cam follower displacement over a specified rise angle, with zero at start and full lift at end.

• Escape Velocity

  Ideal two-body escape speed √(2μ/r) at a specified center-to-center radius; ignores atmosphere and rotation.

• Fan Power

  Ideal fan shaft power from volumetric airflow times pressure rise divided by overall fan efficiency.