Coefficient of Velocity for Pelton Wheel 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%
✖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]			+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 Wheel [C_v]

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Formula

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Coefficient of Velocity for Pelton Wheel

Formula

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

Example

`"0.975569"="28m/s"/sqrt(2*"[g]"*"42m")`

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Coefficient of Velocity for Pelton Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

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

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Velocity of Pelton Jet: 28 Meter per Second --> 28 Meter per Second No Conversion Required
Pelton Head: 42 Meter --> 42 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_v = V₁/sqrt(2*[g]*H) --> 28/sqrt(2*[g]*42)

Evaluating ... ...

C_v = 0.975569132410786

STEP 3: Convert Result to Output's Unit

0.975569132410786 --> No Conversion Required

FINAL ANSWER

0.975569132410786 ≈ 0.975569 <-- Coefficient of Velocity for Pelton

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Turbine » Pelton Turbine » Coefficient of Velocity for Pelton Wheel

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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

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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

Coefficient of Velocity for Pelton Wheel Formula

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

What is the coefficient of velocity?

The coefficient of velocity is the ratio of the actual velocity to the theoretical velocity of the jet. It is known to take care of the friction in the nozzle of the Pelton turbine.

How to Calculate Coefficient of Velocity for Pelton Wheel?

Coefficient of Velocity for Pelton Wheel calculator uses Coefficient of Velocity for Pelton = Velocity of Pelton Jet/sqrt(2*[g]*Pelton Head) to calculate the Coefficient of Velocity for Pelton, The Coefficient of Velocity for Pelton Wheel is the ratio of the actual velocity to the theoretical velocity of a fluid jet. Coefficient of Velocity for Pelton is denoted by C_v symbol.

How to calculate Coefficient of Velocity for Pelton Wheel using this online calculator? To use this online calculator for Coefficient of Velocity for Pelton Wheel, enter Velocity of Pelton Jet (V₁) & Pelton Head (H) and hit the calculate button. Here is how the Coefficient of Velocity for Pelton Wheel calculation can be explained with given input values -> 0.975569 = 28/sqrt(2*[g]*42).

FAQ

What is Coefficient of Velocity for Pelton Wheel?

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

How to calculate Coefficient of Velocity for Pelton Wheel?

The Coefficient of Velocity for Pelton Wheel is the ratio of the actual velocity to the theoretical velocity of a fluid jet is calculated using Coefficient of Velocity for Pelton = Velocity of Pelton Jet/sqrt(2*[g]*Pelton Head). To calculate Coefficient of Velocity for Pelton Wheel, you need Velocity of Pelton Jet (V₁) & Pelton Head (H). With our tool, you need to enter the respective value for Velocity of Pelton Jet & Pelton Head 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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