Wheel Efficiency of Pelton Turbine given Power Calculator

✖The power of Pelton turbine is the amount of energy transferred or converted per unit of time.ⓘ Power of Pelton Turbine [P_t]			+10% -10%
✖The Mass Density of a substance is its mass per unit volume.ⓘ Mass Density [ρ]			+10% -10%
✖Volume Flow Rate for Pelton Turbine is the volume of fluid that passes per unit of time.ⓘ Volume Flow Rate for Pelton Turbine [Q_p]			+10% -10%
✖The velocity of Pelton jet is a vector quantity and is given as the rate of change of displacement.ⓘ Velocity of Pelton Jet [V₁]			+10% -10%

✖The Wheel Efficiency of Pelton Turbine is the ratio of the power developed to the available power.ⓘ Wheel Efficiency of Pelton Turbine given Power [η_w]

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Formula

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Wheel Efficiency of Pelton Turbine given Power

Formula

`"η"_{"w"} = (2*"P"_{"t"})/("ρ"*"Q"_{"p"}*"V"_{"1"}^2)`

Example

`"0.943306"=(2*"553kW")/("997kg/m³"*"1.5m³/s"*("28m/s")^2)`

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Wheel Efficiency of Pelton Turbine given Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wheel Efficiency of Pelton Turbine = (2*Power of Pelton Turbine)/(Mass Density*Volume Flow Rate for Pelton Turbine*Velocity of Pelton Jet^2)
η_w = (2*P_t)/(ρ*Q_p*V₁^2)
This formula uses 5 Variables

Variables Used

Wheel Efficiency of Pelton Turbine - The Wheel Efficiency of Pelton Turbine is the ratio of the power developed to the available power.
Power of Pelton Turbine - (Measured in Watt) - The power of Pelton turbine is the amount of energy transferred or converted per unit of time.
Mass Density - (Measured in Kilogram per Cubic Meter) - The Mass Density of a substance is its mass per unit volume.
Volume Flow Rate for Pelton Turbine - (Measured in Cubic Meter per Second) - Volume Flow Rate for Pelton Turbine is the volume of fluid that passes per unit of time.
Velocity of Pelton Jet - (Measured in Meter per Second) - The velocity of Pelton jet is a vector quantity and is given as the rate of change of displacement.

STEP 1: Convert Input(s) to Base Unit

Power of Pelton Turbine: 553 Kilowatt --> 553000 Watt (Check conversion here)
Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Volume Flow Rate for Pelton Turbine: 1.5 Cubic Meter per Second --> 1.5 Cubic Meter per Second No Conversion Required
Velocity of Pelton Jet: 28 Meter per Second --> 28 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_w = (2*P_t)/(ρ*Q_p*V₁^2) --> (2*553000)/(997*1.5*28^2)

Evaluating ... ...

η_w = 0.943306108802598

STEP 3: Convert Result to Output's Unit

0.943306108802598 --> No Conversion Required

FINAL ANSWER

0.943306108802598 ≈ 0.943306 <-- Wheel Efficiency of Pelton Turbine

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Turbine » Pelton Turbine » Wheel Efficiency of Pelton Turbine given Power

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Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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< 14 Pelton Turbine Calculators

Power of Pelton Turbine given Velocity

Go Power of Pelton Turbine = (1+K Factor for Pelton*cos(Outlet Bucket Angle of Pelton))*Mass Density*Volume Flow Rate for Pelton Turbine*Bucket Velocity of Pelton Turbine*(Velocity of Pelton Jet-Bucket Velocity of Pelton Turbine)

Wheel Efficiency of Pelton Turbine

Go Wheel Efficiency of Pelton Turbine = (2*(1+K Factor for Pelton*cos(Outlet Bucket Angle of Pelton))*(Velocity of Pelton Jet-Bucket Velocity of Pelton Turbine)*Bucket Velocity of Pelton Turbine)/(Velocity of Pelton Jet^2)

Power of Pelton Turbine

Go Power of Pelton Turbine = (1+K Factor for Pelton*cos(Outlet Bucket Angle of Pelton))*Mass Density*Volume Flow Rate for Pelton Turbine*Bucket Velocity of Pelton Turbine*Inlet Relative Velocity of Pelton Turbine

Energy per Unit Mass of Pelton Turbine

Go Energy per Unit Mass of Pelton Turbine = (Inlet Relative Velocity of Pelton Turbine+Outlet Relative Velocity of Pelton*cos(Outlet Bucket Angle of Pelton))*Bucket Velocity of Pelton Turbine

Tangential Component of Outlet Velocity in Pelton Turbine

Go Tangential Outlet Velocity of Pelton = Bucket Velocity of Pelton Turbine-Outlet Relative Velocity of Pelton*cos(Outlet Bucket Angle of Pelton)

Wheel Efficiency of Pelton Turbine given Power

Go Wheel Efficiency of Pelton Turbine = (2*Power of Pelton Turbine)/(Mass Density*Volume Flow Rate for Pelton Turbine*Velocity of Pelton Jet^2)

Energy per Unit Mass of Pelton

Go Energy per Unit Mass of Pelton = (Tangential Inlet Velocity of Pelton-Tangential Outlet Velocity of Pelton)*Bucket Velocity of Pelton Turbine

Coefficient of Velocity for Pelton Wheel

Go Coefficient of Velocity for Pelton = Velocity of Pelton Jet/sqrt(2*[g]*Pelton Head)

Absolute Velocity of Pelton Jet

Go Velocity of Pelton Jet = Coefficient of Velocity for Pelton*sqrt(2*[g]*Pelton Head)

Pelton Head

Go Pelton Head = Velocity of Pelton Jet^2/(2*[g]*Coefficient of Velocity for Pelton^2)

Tangential Component of Inlet Velocity in Pelton Turbine

Go Tangential Inlet Velocity of Pelton = Inlet Relative Velocity of Pelton Turbine+Bucket Velocity of Pelton Turbine

Inlet Relative Velocity of Pelton

Go Inlet Relative Velocity of Pelton Turbine = Velocity of Pelton Jet-Bucket Velocity of Pelton Turbine

Bucket Velocity of Pelton Turbine

Go Bucket Velocity of Pelton Turbine = Velocity of Pelton Jet-Inlet Relative Velocity of Pelton Turbine

Outlet Relative Velocity of Pelton

Go Outlet Relative Velocity of Pelton = K Factor for Pelton*Inlet Relative Velocity of Pelton Turbine

Wheel Efficiency of Pelton Turbine given Power Formula

Wheel Efficiency of Pelton Turbine = (2*Power of Pelton Turbine)/(Mass Density*Volume Flow Rate for Pelton Turbine*Velocity of Pelton Jet^2)
η_w = (2*P_t)/(ρ*Q_p*V₁^2)

What is wheel efficiency?

The wheel efficiency of a Pelton turbine is the ratio of the power developed to the available power. For a Pelton turbine, it is given as the ratio of the power transmitted by the fluid to the power input to the wheel.

How to Calculate Wheel Efficiency of Pelton Turbine given Power?

Wheel Efficiency of Pelton Turbine given Power calculator uses Wheel Efficiency of Pelton Turbine = (2*Power of Pelton Turbine)/(Mass Density*Volume Flow Rate for Pelton Turbine*Velocity of Pelton Jet^2) to calculate the Wheel Efficiency of Pelton Turbine, The wheel efficiency of Pelton turbine given power is the ratio of the power developed to the available power. Wheel Efficiency of Pelton Turbine is denoted by η_w symbol.

How to calculate Wheel Efficiency of Pelton Turbine given Power using this online calculator? To use this online calculator for Wheel Efficiency of Pelton Turbine given Power, enter Power of Pelton Turbine (P_t), Mass Density (ρ), Volume Flow Rate for Pelton Turbine (Q_p) & Velocity of Pelton Jet (V₁) and hit the calculate button. Here is how the Wheel Efficiency of Pelton Turbine given Power calculation can be explained with given input values -> 0.943306 = (2*553000)/(997*1.5*28^2).

FAQ

What is Wheel Efficiency of Pelton Turbine given Power?

The wheel efficiency of Pelton turbine given power is the ratio of the power developed to the available power and is represented as η_w = (2*P_t)/(ρ*Q_p*V₁^2) or Wheel Efficiency of Pelton Turbine = (2*Power of Pelton Turbine)/(Mass Density*Volume Flow Rate for Pelton Turbine*Velocity of Pelton Jet^2). The power of Pelton turbine is the amount of energy transferred or converted per unit of time, The Mass Density of a substance is its mass per unit volume, Volume Flow Rate for Pelton Turbine is the volume of fluid that passes per unit of time & The velocity of Pelton jet is a vector quantity and is given as the rate of change of displacement.

How to calculate Wheel Efficiency of Pelton Turbine given Power?

The wheel efficiency of Pelton turbine given power is the ratio of the power developed to the available power is calculated using Wheel Efficiency of Pelton Turbine = (2*Power of Pelton Turbine)/(Mass Density*Volume Flow Rate for Pelton Turbine*Velocity of Pelton Jet^2). To calculate Wheel Efficiency of Pelton Turbine given Power, you need Power of Pelton Turbine (P_t), Mass Density (ρ), Volume Flow Rate for Pelton Turbine (Q_p) & Velocity of Pelton Jet (V₁). With our tool, you need to enter the respective value for Power of Pelton Turbine, Mass Density, Volume Flow Rate for Pelton Turbine & Velocity of Pelton Jet and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wheel Efficiency of Pelton Turbine?

In this formula, Wheel Efficiency of Pelton Turbine uses Power of Pelton Turbine, Mass Density, Volume Flow Rate for Pelton Turbine & Velocity of Pelton Jet. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wheel Efficiency of Pelton Turbine = (2*(1+K Factor for Pelton*cos(Outlet Bucket Angle of Pelton))*(Velocity of Pelton Jet-Bucket Velocity of Pelton Turbine)*Bucket Velocity of Pelton Turbine)/(Velocity of Pelton Jet^2)

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