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Specific Speed of Turbine Formula

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Specific Speed of Turbine is the speed which produces 1KW of power under 1m head. Check FAQs

N s = \frac{N \cdot \sqrt{P}}{{H eff}^{\frac{5}{4}}}

N_s - Specific Speed of Turbine?N - Speed of Turbine?P - Power Output of Turbine?H_eff - Effective Head of Turbine?

Specific Speed of Turbine Example

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Here is how the Specific Speed of Turbine equation looks like with Values.

Here is how the Specific Speed of Turbine equation looks like with Units.

Here is how the Specific Speed of Turbine equation looks like.

159.4591 = \frac{200 \cdot \sqrt{1986.5}}{25^{\frac{5}{4}}}

159.4591rev/min = \frac{200rev/min \cdot \sqrt{1986.5kW}}{{25m}^{\frac{5}{4}}}

159.4591 = \frac{200 \cdot \sqrt{1986.5}}{25^{\frac{5}{4}}}

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Specific Speed of Turbine Solution

Follow our step by step solution on how to calculate Specific Speed of Turbine?

FIRST Step Consider the formula

N s = \frac{N \cdot \sqrt{P}}{{H eff}^{\frac{5}{4}}}

Next Step Substitute values of Variables

∴

N s = \frac{200rev/min \cdot \sqrt{1986.5kW}}{{25m}^{\frac{5}{4}}}

Next Step Convert Units

∴

N s = \frac{20.944rad/s \cdot \sqrt{1986.5kW}}{{25m}^{\frac{5}{4}}}

Next Step Prepare to Evaluate

∴

N s = \frac{20.944 \cdot \sqrt{1986.5}}{25^{\frac{5}{4}}}

Next Step Evaluate

∴

N s = 16.6985164012262rad/s

Next Step Convert to Output's Unit

∴

N s = 159.459085661495rev/min

LAST Step Rounding Answer

∴

N s = 159.4591rev/min

Specific Speed of Turbine Formula Elements

Variables

Functions

Specific Speed of Turbine

Specific Speed of Turbine is the speed which produces 1KW of power under 1m head.

Symbol: N_s

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Specific Speed of Turbine

Speed of Turbine

Speed of Turbine is the angular velocity of the rotation of the turbine.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Speed of Turbine

Power Output of Turbine

The Power Output of Turbine is the amount of energy transferred in unit time by the turbine.

Symbol: P

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Power Output of Turbine

Effective Head of 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.

Symbol: H_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Head of Turbine

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.

Syntax: sqrt(Number)

Other formulas in Hydraulic Turbines category

Go Unit flow per discharge

Q u = \frac{Q h}{\sqrt{H eff}}

Go Unit speed of turbomachine

N u = \frac{N}{\sqrt{H eff}}

Go Unit power

P u = \frac{P}{{(\sqrt{H eff})}^{3}}

Go Angular Speed of Turbine given Specific Speed

N = \frac{N s \cdot {H eff}^{\frac{5}{4}}}{\sqrt{P}}

How to Evaluate Specific Speed of Turbine?

Specific Speed of Turbine evaluator uses Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4)) to evaluate 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 N_s symbol.

How to evaluate Specific Speed of Turbine using this online evaluator? To use this online evaluator for Specific Speed of Turbine, enter Speed of Turbine (N), Power Output of Turbine (P) & Effective Head of Turbine (H_eff) and hit the calculate button.

FAQs on Specific Speed of Turbine

What is the formula to find Specific Speed of Turbine?

The formula of Specific Speed of Turbine is expressed as Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4)). Here is an example- 1522.722 = (20.9439510228654*sqrt(1986500))/(25^(5/4)).

How to calculate Specific Speed of Turbine?

With Speed of Turbine (N), Power Output of Turbine (P) & Effective Head of Turbine (H_eff) we can find Specific Speed of Turbine using the formula - Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4)). This formula also uses Square Root (sqrt) function(s).

Can the Specific Speed of Turbine be negative?

No, the Specific Speed of Turbine, measured in Angular Velocity cannot be negative.

Which unit is used to measure Specific Speed of Turbine?

Specific Speed of Turbine is usually measured using the Revolution per Minute[rev/min] for Angular Velocity. Radian per Second[rev/min], Radian per Day[rev/min], Radian per Hour[rev/min] are the few other units in which Specific Speed of Turbine can be measured.

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Specific Speed of Turbine Formula

Specific Speed of Turbine Example

Specific Speed of Turbine Solution

Specific Speed of Turbine Formula Elements

Other formulas in Hydraulic Turbines category

How to Evaluate Specific Speed of Turbine?

FAQs on Specific Speed of Turbine

Variable Name