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Power of Turbine given Specific Speed Formula

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

P = {(\frac{N s \cdot {H eff}^{\frac{5}{4}}}{N})}^{2}

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

Power of Turbine given Specific Speed Example

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

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

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

1985.0281 = {(\frac{159.4 \cdot 25^{\frac{5}{4}}}{200})}^{2}

1985.0281kW = {(\frac{159.4rev/min \cdot {25m}^{\frac{5}{4}}}{200rev/min})}^{2}

1985.0281 = {(\frac{159.4 \cdot 25^{\frac{5}{4}}}{200})}^{2}

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Power of Turbine given Specific Speed Solution

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

FIRST Step Consider the formula

P = {(\frac{N s \cdot {H eff}^{\frac{5}{4}}}{N})}^{2}

Next Step Substitute values of Variables

∴

P = {(\frac{159.4rev/min \cdot {25m}^{\frac{5}{4}}}{200rev/min})}^{2}

Next Step Prepare to Evaluate

∴

P = {(\frac{159.4 \cdot 25^{\frac{5}{4}}}{200})}^{2}

Next Step Evaluate

∴

P = 1985028.125W

Next Step Convert to Output's Unit

∴

P = 1985.028125kW

LAST Step Rounding Answer

∴

P = 1985.0281kW

Power of Turbine given Specific Speed Formula Elements

Variables

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

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

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

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

Other formulas in Hydraulic Turbines category

Go Specific Speed of Turbine

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

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}}

How to Evaluate Power of Turbine given Specific Speed?

Power of Turbine given Specific Speed evaluator uses Power Output of Turbine = ((Specific Speed of Turbine*Effective Head of Turbine^(5/4))/Speed of Turbine)^2 to evaluate the Power Output of Turbine, The Power of turbine given specific speed formula is defined as the amount of energy transferred or converted by the turbine per unit time. Power Output of Turbine is denoted by P symbol.

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

FAQs on Power of Turbine given Specific Speed

What is the formula to find Power of Turbine given Specific Speed?

The formula of Power of Turbine given Specific Speed is expressed as Power Output of Turbine = ((Specific Speed of Turbine*Effective Head of Turbine^(5/4))/Speed of Turbine)^2. Here is an example- 1.985028 = ((16.6923289652237*25^(5/4))/20.9439510228654)^2.

How to calculate Power of Turbine given Specific Speed?

With Specific Speed of Turbine (N_s), Effective Head of Turbine (H_eff) & Speed of Turbine (N) we can find Power of Turbine given Specific Speed using the formula - Power Output of Turbine = ((Specific Speed of Turbine*Effective Head of Turbine^(5/4))/Speed of Turbine)^2.

Can the Power of Turbine given Specific Speed be negative?

No, the Power of Turbine given Specific Speed, measured in Power cannot be negative.

Which unit is used to measure Power of Turbine given Specific Speed?

Power of Turbine given Specific Speed is usually measured using the Kilowatt[kW] for Power. Watt[kW], Milliwatt[kW], Microwatt[kW] are the few other units in which Power of Turbine given Specific Speed can be measured.

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Power of Turbine given Specific Speed Formula

Power of Turbine given Specific Speed Example

Power of Turbine given Specific Speed Solution

Power of Turbine given Specific Speed Formula Elements

Other formulas in Hydraulic Turbines category

How to Evaluate Power of Turbine given Specific Speed?

FAQs on Power of Turbine given Specific Speed

Variable Name