Power of Turbine given Specific Speed Calculator

✖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.ⓘ Effective Head of Turbine [H_eff]			+10% -10%
✖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 of Turbine given Specific Speed [P]

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Power of Turbine given Specific Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Output of Turbine = ((Specific Speed of Turbine*Effective Head of Turbine^(5/4))/Speed of Turbine)^2
P = ((N_s*H_eff^(5/4))/N)^2
This formula uses 4 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Specific Speed of Turbine: 159.4 Revolution per Minute --> 159.4 Revolution per Minute No Conversion Required
Effective Head of Turbine: 25 Meter --> 25 Meter No Conversion Required
Speed of Turbine: 200 Revolution per Minute --> 200 Revolution per Minute No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = ((N_s*H_eff^(5/4))/N)^2 --> ((159.4*25^(5/4))/200)^2

Evaluating ... ...

P = 1985.028125

STEP 3: Convert Result to Output's Unit

1985028.125 Watt -->1985.028125 Kilowatt (Check conversion here)

FINAL ANSWER

1985.028125 ≈ 1985.028 Kilowatt <-- Power Output of Turbine

(Calculation completed in 00.004 seconds)

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Created by Sagar S Kulkarni

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)

Power of Turbine given Specific Speed Formula

LaTeX Go

Power Output of Turbine = ((Specific Speed of Turbine*Effective Head of Turbine^(5/4))/Speed of Turbine)^2
P = ((N_s*H_eff^(5/4))/N)^2

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.

How to Calculate Power of Turbine given Specific Speed?

Power of Turbine given Specific Speed calculator uses Power Output of Turbine = ((Specific Speed of Turbine*Effective Head of Turbine^(5/4))/Speed of Turbine)^2 to calculate 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 calculate Power of Turbine given Specific Speed using this online calculator? To use this online calculator 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. Here is how the Power of Turbine given Specific Speed calculation can be explained with given input values -> 1.985028 = ((16.6923289652237*25^(5/4))/20.9439510228654)^2.

FAQ

What is Power of Turbine given Specific Speed?

The Power of turbine given specific speed formula is defined as the amount of energy transferred or converted by the turbine per unit time and is represented as P = ((N_s*H_eff^(5/4))/N)^2 or Power Output of Turbine = ((Specific Speed of Turbine*Effective Head of Turbine^(5/4))/Speed of Turbine)^2. Specific Speed of Turbine is the speed which produces 1KW of power under 1m head, 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 is the angular velocity of the rotation of the turbine.

How to calculate Power of Turbine given Specific Speed?

The Power of turbine given specific speed formula is defined as the amount of energy transferred or converted by the turbine per unit time is calculated using Power Output of Turbine = ((Specific Speed of Turbine*Effective Head of Turbine^(5/4))/Speed of Turbine)^2. To calculate Power of Turbine given Specific Speed, you need Specific Speed of Turbine (N_s), Effective Head of Turbine (H_eff) & Speed of Turbine (N). With our tool, you need to enter the respective value for Specific Speed of Turbine, Effective Head of Turbine & 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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