Turbine Specific Speed Calculator
Explicit dimensionless power-based turbinespecific speedω√(P/ρ)/(gH)^5/4, SI, radians/s. Actual shaft/hydraulicpower convention independently stated; not pumpQformula or empirical rpmkWclassification.
Description
Turbine specific speed compares rotational behavior, power, head and fluid properties.
Turbine specific speed compares rotational behavior, power, head and fluid properties.1
A dimensionless definition requires angular speed and consistent SI inputs rather than an empirical rpm convention. Use this tool to calculate the stated observation or conditional model from supplied measurements.
When to use Turbine Specific Speed Calculator
Use this tool to calculate the stated observation or conditional model from supplied measurements. Establish the independently reviewed engineering model, geometry, material properties, units and governing reference edition.
How to use Turbine Specific Speed Calculator and understand its results
- Establish the independently reviewed engineering model, geometry, material properties, units and governing reference edition.
- Enter actualTurbineRotationalSpeedRadiansPerSecond, actualTurbinePowerWatts, callerMatchedFluidDensityKgPerCubicMeter, actualTurbineHeadMeters, callerApplicableGravityMetersPerSecondSquared, using the field meanings and rules below, then run the tool.
- Read result.conditionalDimensionlessTurbineSpecificSpeed. Interpret each field using the units, signs and evidence rules below.
- If input validation fails, correct the reported field and run again. Before applying a successful result, check the stated reference scope, units, assumptions and any retained unknown evidence.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualTurbineRotationalSpeedRadiansPerSecond | Actual turbine rotational speed radians per second | number | Required |
| actualTurbinePowerWatts | Actual turbine power watts | number | Required |
| callerMatchedFluidDensityKgPerCubicMeter | Caller matched fluid density kg per cubic meter | number | Required |
| actualTurbineHeadMeters | Actual turbine head meters | number | Required |
| callerApplicableGravityMetersPerSecondSquared | Caller applicable gravity meters per second squared | number | Required |
Require positive angular speed in rad/s, fluid density in kg/m³, head in meters and gravity in m/s²; allow nonnegative power in watts. Compute omega×sqrt(P/rho)/(gH)^(5/4). Zero power returns zero. No conversion from rpm, unit-dependent convention or turbine-selection rule is applied.
dimensionlessTurbineSpecificSpeed=omegaRadPerS×sqrt(powerWatts/densityKgPerM3)/(gravityMPerS2×headMeters)^(5/4) Apply the field units and exact ordering, boundary and evidence rules above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Structured result containing the calculation or selected reference fields below | object |
| result.conditionalDimensionlessTurbineSpecificSpeed | Conditional Dimensionless Turbine Specific Speed; use the units, sign convention and calculation stated above | number |
{
"input": {
"actualTurbineRotationalSpeedRadiansPerSecond": 2,
"actualTurbinePowerWatts": 4,
"callerMatchedFluidDensityKgPerCubicMeter": 1,
"actualTurbineHeadMeters": 1,
"callerApplicableGravityMetersPerSecondSquared": 1
},
"output": {
"result": {
"conditionalDimensionlessTurbineSpecificSpeed": 4
}
}
}Limitations and assumptions
A dimensionless definition requires angular speed and consistent SI inputs rather than an empirical rpm convention. Results depend on the independently established measurement basis and the exact model assumptions above.
Every listed input requires an explicit value. Unexpected fields, incorrect value types, nonfinite numbers and sparse numeric arrays fail validation; tool-specific bounds and alignment rules apply as described above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful calculation that reports a false comparison or retains unknown evidence.
Alternative or Complementary methods
Use Pump Specific Speed Calculator to examine a related aspect: Pump specific speed compares angular speed, discharge and head.
Use Bolt Preload Torque Calculator where its separate inputs and scope apply: A nut-factor torque model estimates tightening torque from preload and bolt diameter.
References
-
Turbine Specific Speed Calculator — tool.io
Similar or alternative tools
- Pump Specific Speed Calculator
Pump specific speed compares angular speed, discharge and head.
- Bolt Preload Torque Calculator
A nut-factor torque model estimates tightening torque from preload and bolt diameter.