Wheel Efficiency of Pelton Turbine Calculator

✖K Factor for Pelton is the ratio of the outlet relative velocity to the inlet relative velocity.ⓘ K Factor for Pelton [k]			+10% -10%
✖Outlet Bucket Angle of Pelton is the angle the bucket makes with the relative velocity at the outlet.ⓘ Outlet Bucket Angle of Pelton [β₂]			+10% -10%
✖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%
✖Bucket Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement.ⓘ Bucket Velocity of Pelton Turbine [U]			+10% -10%

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

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Wheel Efficiency of Pelton Turbine Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
η_w = (2*(1+k*cos(β₂))*(V₁-U)*U)/(V₁^2)
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Wheel Efficiency of Pelton Turbine - Wheel Efficiency of Pelton Turbine is the ratio of the power developed to the available power.
K Factor for Pelton - K Factor for Pelton is the ratio of the outlet relative velocity to the inlet relative velocity.
Outlet Bucket Angle of Pelton - (Measured in Radian) - Outlet Bucket Angle of Pelton is the angle the bucket makes with the relative velocity at the outlet.
Velocity of Pelton Jet - (Measured in Meter per Second) - Velocity of Pelton Jet is a vector quantity and is given as the rate of change of displacement.
Bucket Velocity of Pelton Turbine - (Measured in Meter per Second) - Bucket Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement.

STEP 1: Convert Input(s) to Base Unit

K Factor for Pelton: 0.95 --> No Conversion Required
Outlet Bucket Angle of Pelton: 20 Degree --> 0.3490658503988 Radian (Check conversion here)
Velocity of Pelton Jet: 28 Meter per Second --> 28 Meter per Second No Conversion Required
Bucket Velocity of Pelton Turbine: 14.73 Meter per Second --> 14.73 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_w = (2*(1+k*cos(β₂))*(V₁-U)*U)/(V₁^2) --> (2*(1+0.95*cos(0.3490658503988))*(28-14.73)*14.73)/(28^2)

Evaluating ... ...

η_w = 0.943780974241338

STEP 3: Convert Result to Output's Unit

0.943780974241338 --> No Conversion Required

FINAL ANSWER

0.943780974241338 ≈ 0.943781 <-- Wheel Efficiency of Pelton Turbine

(Calculation completed in 00.004 seconds)

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Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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National Institute Of Technology (NIT), Hamirpur

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< Pelton Turbine Calculators

Coefficient of Velocity for Pelton Wheel

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

Absolute Velocity of Pelton Jet

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

Pelton Head

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

Inlet Relative Velocity of Pelton

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

Wheel Efficiency of Pelton Turbine Formula

LaTeX Go

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?

Wheel Efficiency of Pelton Turbine calculator uses 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) to calculate the Wheel Efficiency of Pelton Turbine, Wheel Efficiency of Pelton Turbine refers to the ratio of the useful mechanical power delivered by the turbine wheel to the water power supplied to the wheel. It measures how effectively the turbine converts the energy in the water jet into rotational energy at the wheel. Wheel Efficiency of Pelton Turbine is denoted by η_w symbol.

How to calculate Wheel Efficiency of Pelton Turbine using this online calculator? To use this online calculator for Wheel Efficiency of Pelton Turbine, enter K Factor for Pelton (k), Outlet Bucket Angle of Pelton (β₂), Velocity of Pelton Jet (V₁) & Bucket Velocity of Pelton Turbine (U) and hit the calculate button. Here is how the Wheel Efficiency of Pelton Turbine calculation can be explained with given input values -> 0.943781 = (2*(1+0.95*cos(0.3490658503988))*(28-14.73)*14.73)/(28^2).

FAQ

What is Wheel Efficiency of Pelton Turbine?

Wheel Efficiency of Pelton Turbine refers to the ratio of the useful mechanical power delivered by the turbine wheel to the water power supplied to the wheel. It measures how effectively the turbine converts the energy in the water jet into rotational energy at the wheel and is represented as η_w = (2*(1+k*cos(β₂))*(V₁-U)*U)/(V₁^2) or 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). K Factor for Pelton is the ratio of the outlet relative velocity to the inlet relative velocity, Outlet Bucket Angle of Pelton is the angle the bucket makes with the relative velocity at the outlet, Velocity of Pelton Jet is a vector quantity and is given as the rate of change of displacement & Bucket Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement.

How to calculate Wheel Efficiency of Pelton Turbine?

Wheel Efficiency of Pelton Turbine refers to the ratio of the useful mechanical power delivered by the turbine wheel to the water power supplied to the wheel. It measures how effectively the turbine converts the energy in the water jet into rotational energy at the wheel is calculated using 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). To calculate Wheel Efficiency of Pelton Turbine, you need K Factor for Pelton (k), Outlet Bucket Angle of Pelton (β₂), Velocity of Pelton Jet (V₁) & Bucket Velocity of Pelton Turbine (U). With our tool, you need to enter the respective value for K Factor for Pelton, Outlet Bucket Angle of Pelton, Velocity of Pelton Jet & Bucket Velocity of Pelton Turbine 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 K Factor for Pelton, Outlet Bucket Angle of Pelton, Velocity of Pelton Jet & Bucket Velocity of Pelton Turbine. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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