Unit speed of turbomachine Calculator

✖Speed of Turbine is the angular velocity of the rotation of the turbine.ⓘ Speed of Turbine [N]			+10% -10%
✖Effective Head of Turbine is the net or the effective head of the turbine. It is the height difference between where the water enters the hydro system and where it leaves it.ⓘ Effective Head of Turbine [H_eff]			+10% -10%

✖Unit Speed of Turbine is the hypothetical speed of the turbine under a head of 1m.ⓘ Unit speed of turbomachine [N_u]

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Unit speed of turbomachine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine)
N_u = N/sqrt(H_eff)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Unit Speed of Turbine - (Measured in Radian per Second) - Unit Speed of Turbine is the hypothetical speed of the turbine under a head of 1m.
Speed of Turbine - (Measured in Radian per Second) - Speed of Turbine is the angular velocity of the rotation of the turbine.
Effective Head of Turbine - (Measured in Meter) - Effective Head of Turbine is the net or the effective head of the turbine. It is the height difference between where the water enters the hydro system and where it leaves it.

STEP 1: Convert Input(s) to Base Unit

Speed of Turbine: 200 Revolution per Minute --> 20.9439510228654 Radian per Second (Check conversion here)
Effective Head of Turbine: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_u = N/sqrt(H_eff) --> 20.9439510228654/sqrt(25)

Evaluating ... ...

N_u = 4.18879020457308

STEP 3: Convert Result to Output's Unit

4.18879020457308 Radian per Second -->40 Revolution per Minute (Check conversion here)

FINAL ANSWER

40 Revolution per Minute <-- Unit Speed of Turbine

(Calculation completed in 00.004 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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Institute of Aeronautical Engineering (IARE), Hyderabad

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< Hydraulic Turbines Calculators

Specific Speed of Turbine

LaTeX Go Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4))

Unit flow per discharge

LaTeX Go Unit Discharge For Hydraulic Turbine = Discharge For Hydraulic Turbine/sqrt(Effective Head of Turbine)

Unit power

LaTeX Go Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3)

Unit speed of turbomachine

LaTeX Go Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine)

Unit speed of turbomachine Formula

LaTeX Go

Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine)
N_u = N/sqrt(H_eff)

What is unit speed?

The unit speed is defined as the speed of a turbomachine when working under a head of one meter. Geometrically similar turbines will have the same unit characteristics under similar operating conditions.

How to Calculate Unit speed of turbomachine?

Unit speed of turbomachine calculator uses Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine) to calculate the Unit Speed of Turbine, Unit speed of turbomachine is the speed at which the machine operates when the flow, head, and power are reduced to their corresponding dimensionless unit values, typically used for comparing different machines regardless of size. It helps normalize performance characteristics and is crucial in similarity laws and scaling models for turbomachinery. Unit Speed of Turbine is denoted by N_u symbol.

How to calculate Unit speed of turbomachine using this online calculator? To use this online calculator for Unit speed of turbomachine, enter Speed of Turbine (N) & Effective Head of Turbine (H_eff) and hit the calculate button. Here is how the Unit speed of turbomachine calculation can be explained with given input values -> 381.9719 = 20.9439510228654/sqrt(25).

FAQ

What is Unit speed of turbomachine?

Unit speed of turbomachine is the speed at which the machine operates when the flow, head, and power are reduced to their corresponding dimensionless unit values, typically used for comparing different machines regardless of size. It helps normalize performance characteristics and is crucial in similarity laws and scaling models for turbomachinery and is represented as N_u = N/sqrt(H_eff) or Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine). Speed of Turbine is the angular velocity of the rotation of the turbine & Effective Head of Turbine is the net or the effective head of the turbine. It is the height difference between where the water enters the hydro system and where it leaves it.

How to calculate Unit speed of turbomachine?

Unit speed of turbomachine is the speed at which the machine operates when the flow, head, and power are reduced to their corresponding dimensionless unit values, typically used for comparing different machines regardless of size. It helps normalize performance characteristics and is crucial in similarity laws and scaling models for turbomachinery is calculated using Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine). To calculate Unit speed of turbomachine, you need Speed of Turbine (N) & Effective Head of Turbine (H_eff). With our tool, you need to enter the respective value for Speed of Turbine & Effective Head of Turbine and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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