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Head of turbine given specific speed Formula

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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. Check FAQs

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

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

Head of turbine given specific speed Example

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Here is how the Head of turbine given specific speed equation looks like with Values.

Here is how the Head of turbine given specific speed equation looks like with Units.

Here is how the Head of turbine given specific speed equation looks like.

25.0074 = {(\frac{200 \cdot \sqrt{1986.5}}{159.4})}^{\frac{4}{5}}

25.0074m = {(\frac{200rev/min \cdot \sqrt{1986.5kW}}{159.4rev/min})}^{\frac{4}{5}}

25.0074 = {(\frac{200 \cdot \sqrt{1986.5}}{159.4})}^{\frac{4}{5}}

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Head of turbine given specific speed Solution

Follow our step by step solution on how to calculate Head of turbine given specific speed?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H eff = {(\frac{200rev/min \cdot \sqrt{1986.5kW}}{159.4rev/min})}^{\frac{4}{5}}

Next Step Prepare to Evaluate

∴

H eff = {(\frac{200 \cdot \sqrt{1986.5}}{159.4})}^{\frac{4}{5}}

Next Step Evaluate

∴

H eff = 25.0074132335834m

LAST Step Rounding Answer

∴

H eff = 25.0074m

Head of turbine given specific speed Formula Elements

Variables

Functions

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

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

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 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 Head of turbine given specific speed?

Head of turbine given specific speed evaluator uses Effective Head of Turbine = ((Speed of Turbine*sqrt(Power Output of Turbine))/Specific Speed of Turbine)^(4/5) to evaluate the Effective Head of Turbine, The Head of turbine given specific speed formula is defined as the change in water levels between the hydro intake and the hydro discharge point. Effective Head of Turbine is denoted by H_eff symbol.

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

FAQs on Head of turbine given specific speed

What is the formula to find Head of turbine given specific speed?

The formula of Head of turbine given specific speed is expressed as Effective Head of Turbine = ((Speed of Turbine*sqrt(Power Output of Turbine))/Specific Speed of Turbine)^(4/5). Here is an example- 25.00741 = ((20.9439510228654*sqrt(1986500))/16.6923289652237)^(4/5).

How to calculate Head of turbine given specific speed?

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

Can the Head of turbine given specific speed be negative?

No, the Head of turbine given specific speed, measured in Length cannot be negative.

Which unit is used to measure Head of turbine given specific speed?

Head of turbine given specific speed is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head of turbine given specific speed can be measured.

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Head of turbine given specific speed Formula

Head of turbine given specific speed Example

Head of turbine given specific speed Solution

Head of turbine given specific speed Formula Elements

Other formulas in Hydraulic Turbines category

How to Evaluate Head of turbine given specific speed?

FAQs on Head of turbine given specific speed

Variable Name