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

Flow Cubic Meters Per Second (m³/s)

Required number input.

Pressure Rise Pascals (Pa)

Required number input.

Efficiency

Required number input.

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

Shaft Power Watts (W)

The resulting shaft power watts returned as a number.

• Fan, pump, turbine, and propeller performance varies with speed, flow, head, density, efficiency map, cavitation margin, installation, control, and off-design operation. Similarity or ideal-power equations do not replace manufacturer curves.
• 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.

• Propeller Efficiency

  Propulsive efficiency as thrust times advance speed divided by shaft power; assumes steady straight-ahead motion.

• Pump Efficiency

  Pump hydraulic efficiency from hydraulic output power divided by shaft input power.

• Extrusion Pressure

  Ideal frictionless extrusion pressure from a supplied mean flow stress times ln(initial area/final area); actual die pressure may be higher.