Unit speed of turbomachine Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine)
Nu = N/sqrt(Heff)
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
Nu = N/sqrt(Heff) --> 20.9439510228654/sqrt(25)
Evaluating ... ...
Nu = 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 00.020 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has created this Calculator and 200+ more calculators!
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Institute of Aeronautical Engineering (IARE), Hyderabad
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7 Hydraulic Turbines Calculators

Head of turbine given specific speed
Go Effective Head of Turbine = ((Speed of Turbine*sqrt(Power Output of Turbine))/Specific Speed of Turbine)^(4/5)
Specific Speed of Turbine
Go Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4))
Angular Speed of Turbine given Specific Speed
Go Speed of Turbine = (Specific Speed of Turbine*Effective Head of Turbine^(5/4))/sqrt(Power Output of Turbine)
Power of Turbine given Specific Speed
Go Power Output of Turbine = ((Specific Speed of Turbine*Effective Head of Turbine^(5/4))/Speed of Turbine)^2
Unit flow per discharge
Go Unit Discharge for Hydraulic Turbine = Discharge for Hydraulic Turbine/sqrt(Effective Head of Turbine)
Unit power
Go Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3)
Unit speed of turbomachine
Go Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine)

Unit speed of turbomachine Formula

Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine)
Nu = N/sqrt(Heff)

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, The Unit speed of turbomachine formula is defined as the ratio of the speed of a turbomachine to the square root of its head. Unit Speed of Turbine is denoted by Nu 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 (Heff) 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?
The Unit speed of turbomachine formula is defined as the ratio of the speed of a turbomachine to the square root of its head and is represented as Nu = N/sqrt(Heff) 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?
The Unit speed of turbomachine formula is defined as the ratio of the speed of a turbomachine to the square root of its head 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 (Heff). 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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