Head of turbine given specific speed Calculator

✖Speed of Turbine is the angular velocity of the rotation of the turbine.ⓘ Speed of Turbine [N]			+10% -10%
✖The Power Output of Turbine is the amount of energy transferred in unit time by the turbine.ⓘ Power Output of Turbine [P]			+10% -10%
✖Specific Speed of Turbine is the speed which produces 1KW of power under 1m head.ⓘ Specific Speed of Turbine [N_s]			+10% -10%

✖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.ⓘ Head of turbine given specific speed [H_eff]

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Head of turbine given specific speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Head of Turbine = ((Speed of Turbine*sqrt(Power Output of Turbine))/Specific Speed of Turbine)^(4/5)
H_eff = ((N*sqrt(P))/N_s)^(4/5)
This formula uses 1 Functions, 4 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

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.
Speed of Turbine - (Measured in Revolution per Minute) - 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.
Specific Speed of Turbine - (Measured in Revolution per Minute) - Specific Speed of Turbine is the speed which produces 1KW of power under 1m head.

STEP 1: Convert Input(s) to Base Unit

Speed of Turbine: 200 Revolution per Minute --> 200 Revolution per Minute No Conversion Required
Power Output of Turbine: 1986.5 Kilowatt --> 1986.5 Kilowatt No Conversion Required
Specific Speed of Turbine: 159.4 Revolution per Minute --> 159.4 Revolution per Minute No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_eff = ((N*sqrt(P))/N_s)^(4/5) --> ((200*sqrt(1986.5))/159.4)^(4/5)

Evaluating ... ...

H_eff = 25.0074132335834

STEP 3: Convert Result to Output's Unit

25.0074132335834 Meter --> No Conversion Required

FINAL ANSWER

25.0074132335834 ≈ 25.00741 Meter <-- Effective Head of Turbine

(Calculation completed in 00.004 seconds)

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< Hydraulic Turbines Calculators

Specific Speed of Turbine

LaTeX Go Specific Speed of Turbine = (Speed of Turbine*sqrt(Power Output of Turbine))/(Effective Head of Turbine^(5/4))

Unit flow per discharge

LaTeX Go Unit Discharge For Hydraulic Turbine = Discharge For Hydraulic Turbine/sqrt(Effective Head of Turbine)

Unit power

LaTeX Go Unit Power of Turbine = Power Output of Turbine/((sqrt(Effective Head of Turbine))^3)

Unit speed of turbomachine

LaTeX Go Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine)

Head of turbine given specific speed Formula

LaTeX Go

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

What is specific speed?

The specific speed of a turbine is defined as the speed of a geometrically similar turbine that would produce 1kW of power under 1m head.

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How to Calculate Head of turbine given specific speed?

Head of turbine given specific speed calculator uses Effective Head of Turbine = ((Speed of Turbine*sqrt(Power Output of Turbine))/Specific Speed of Turbine)^(4/5) to calculate 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 calculate Head of turbine given specific speed using this online calculator? To use this online calculator 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. Here is how the Head of turbine given specific speed calculation can be explained with given input values -> 25.00741 = ((20.9439510228654*sqrt(1986500))/16.6923289652237)^(4/5).

FAQ

What is Head of turbine given specific speed?

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 and is represented as H_eff = ((N*sqrt(P))/N_s)^(4/5) or Effective Head of Turbine = ((Speed of Turbine*sqrt(Power Output of Turbine))/Specific Speed of Turbine)^(4/5). 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 & Specific Speed of Turbine is the speed which produces 1KW of power under 1m head.

How to calculate Head of turbine given specific speed?

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 is calculated using Effective Head of Turbine = ((Speed of Turbine*sqrt(Power Output of Turbine))/Specific Speed of Turbine)^(4/5). To calculate Head of turbine given specific speed, you need Speed of Turbine (N), Power Output of Turbine (P) & Specific Speed of Turbine (N_s). With our tool, you need to enter the respective value for Speed of Turbine, Power Output of Turbine & Specific Speed 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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