Specific Speed of Turbine Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4))
Ns = (N*sqrt(P))/(H^(5/4))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Specific Speed of Turbine - (Measured in Radian per Second) - Specific Speed of Turbine is the speed which produces 1KW of power under 1m head.
Speed of Turbine - (Measured in Radian per Second) - Speed of Turbine is the angular velocity of the rotation of the turbine.
Power Output of Turbine - (Measured in Kilowatt) - The Power Output of Turbine is the amount of energy transferred in unit time by 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)
Power Output of Turbine: 1986.5 Kilowatt --> 1986.5 Kilowatt No Conversion Required
Effective Head of Turbine: 25 Meter --> 25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ns = (N*sqrt(P))/(H^(5/4)) --> (20.9439510228654*sqrt(1986.5))/(25^(5/4))
Evaluating ... ...
Ns = 16.6985164012262
STEP 3: Convert Result to Output's Unit
16.6985164012262 Radian per Second -->159.459085661495 Revolution per Minute (Check conversion here)
FINAL ANSWER
159.459085661495 Revolution per Minute <-- Specific Speed of Turbine
(Calculation completed in 00.045 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Verified by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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7 Hydraulic Turbines Calculators

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

Specific Speed of Turbine Formula

Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4))
Ns = (N*sqrt(P))/(H^(5/4))

What is specific speed of a turbine?

The specific speed of a turbine is defined as the speed of a turbine which is identical in shape, geometrical dimensions, blade angles, gate opening, etc. which would develop unit power when working under a unit head.

How to Calculate Specific Speed of Turbine?

Specific Speed of Turbine calculator uses Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4)) to calculate the Specific Speed of Turbine, The Specific speed of turbine formula is defined as an index used to predict desired pump or turbine performance. i.e. it predicts the general shape of a pump's impeller. Specific Speed of Turbine is denoted by Ns symbol.

How to calculate Specific Speed of Turbine using this online calculator? To use this online calculator for Specific Speed of Turbine, enter Speed of Turbine (N), Power Output of Turbine (P) & Effective Head of Turbine (H) and hit the calculate button. Here is how the Specific Speed of Turbine calculation can be explained with given input values -> 528.0535 = (20.9439510228654*sqrt(1986500))/(25^(5/4)).

FAQ

What is Specific Speed of Turbine?
The Specific speed of turbine formula is defined as an index used to predict desired pump or turbine performance. i.e. it predicts the general shape of a pump's impeller and is represented as Ns = (N*sqrt(P))/(H^(5/4)) or Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4)). Speed of Turbine is the angular velocity of the rotation of the turbine, The Power Output of Turbine is the amount of energy transferred in unit time by 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 Specific Speed of Turbine?
The Specific speed of turbine formula is defined as an index used to predict desired pump or turbine performance. i.e. it predicts the general shape of a pump's impeller is calculated using Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4)). To calculate Specific Speed of Turbine, you need Speed of Turbine (N), Power Output of Turbine (P) & Effective Head of Turbine (H). With our tool, you need to enter the respective value for Speed of Turbine, Power Output 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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