Pelton Head Calculator

✖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 coefficient of velocity for Pelton turbine is the ratio of the actual velocity to the theoretical velocity of a fluid jet.ⓘ Coefficient of Velocity for Pelton [C_v]			+10% -10%

✖Pelton Head is the height difference between where the water enters into the hydro system and where it leaves it, measured in meters.ⓘ Pelton Head [H]

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Formula

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Pelton Head

Formula

`"H" = "V"_{"1"}^2/(2*"[g]"*"C"_{"v"}^2)`

Example

`"42.04905m"=("28m/s")^2/(2*"[g]"*("0.975")^2)`

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Pelton Head Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pelton Head = Velocity of Pelton Jet^2/(2*[g]*Coefficient of Velocity for Pelton^2)
H = V₁^2/(2*[g]*C_v^2)
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Pelton Head - (Measured in Meter) - Pelton Head is the height difference between where the water enters into the hydro system and where it leaves it, measured in meters.
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.
Coefficient of Velocity for Pelton - The coefficient of velocity for Pelton turbine is the ratio of the actual velocity to the theoretical velocity of a fluid jet.

STEP 1: Convert Input(s) to Base Unit

Velocity of Pelton Jet: 28 Meter per Second --> 28 Meter per Second No Conversion Required
Coefficient of Velocity for Pelton: 0.975 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = V₁^2/(2*[g]*C_v^2) --> 28^2/(2*[g]*0.975^2)

Evaluating ... ...

H = 42.0490472570517

STEP 3: Convert Result to Output's Unit

42.0490472570517 Meter --> No Conversion Required

FINAL ANSWER

42.0490472570517 ≈ 42.04905 Meter <-- Pelton Head

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Turbine » Pelton Turbine » Pelton Head

Credits

Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

Suman Ray Pramanik has created this Calculator and 50+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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

Pelton Head Formula

Pelton Head = Velocity of Pelton Jet^2/(2*[g]*Coefficient of Velocity for Pelton^2)
H = V₁^2/(2*[g]*C_v^2)

What is Pelton head?

Pelton Head is the height difference between where the water enters into the hydro system and where it leaves it, measured in meters. The head at the entrance of the nozzle is equal to the gross head of water stored at high altitudes minus the head lost due to friction in the long pipeline leading to the nozzle.

How to Calculate Pelton Head?

Pelton Head calculator uses Pelton Head = Velocity of Pelton Jet^2/(2*[g]*Coefficient of Velocity for Pelton^2) to calculate the Pelton Head, Pelton Head is the height difference between where the water enters into the hydro system and where it leaves it, measured in meters. Pelton Head is denoted by H symbol.

How to calculate Pelton Head using this online calculator? To use this online calculator for Pelton Head, enter Velocity of Pelton Jet (V₁) & Coefficient of Velocity for Pelton (C_v) and hit the calculate button. Here is how the Pelton Head calculation can be explained with given input values -> 42.48366 = 28^2/(2*[g]*0.975^2).

FAQ

What is Pelton Head?

Pelton Head is the height difference between where the water enters into the hydro system and where it leaves it, measured in meters and is represented as H = V₁^2/(2*[g]*C_v^2) or Pelton Head = Velocity of Pelton Jet^2/(2*[g]*Coefficient of Velocity for Pelton^2). The velocity of Pelton jet is a vector quantity and is given as the rate of change of displacement & The coefficient of velocity for Pelton turbine is the ratio of the actual velocity to the theoretical velocity of a fluid jet.

How to calculate Pelton Head?

Pelton Head is the height difference between where the water enters into the hydro system and where it leaves it, measured in meters is calculated using Pelton Head = Velocity of Pelton Jet^2/(2*[g]*Coefficient of Velocity for Pelton^2). To calculate Pelton Head, you need Velocity of Pelton Jet (V₁) & Coefficient of Velocity for Pelton (C_v). With our tool, you need to enter the respective value for Velocity of Pelton Jet & Coefficient of Velocity for Pelton 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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