Absolute Velocity of Pelton Jet Calculator

✖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]			+10% -10%

✖The velocity of Pelton jet is a vector quantity and is given as the rate of change of displacement.ⓘ Absolute Velocity of Pelton Jet [V₁]

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Formula

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Absolute Velocity of Pelton Jet

Formula

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

Example

`"27.98367m/s"="0.975"*sqrt(2*"[g]"*"42m")`

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Absolute Velocity of Pelton Jet Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

Coefficient of Velocity for Pelton: 0.975 --> No Conversion Required
Pelton Head: 42 Meter --> 42 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁ = C_v*sqrt(2*[g]*H) --> 0.975*sqrt(2*[g]*42)

Evaluating ... ...

V₁ = 27.983665219642

STEP 3: Convert Result to Output's Unit

27.983665219642 Meter per Second --> No Conversion Required

FINAL ANSWER

27.983665219642 ≈ 27.98367 Meter per Second <-- Velocity of Pelton Jet

(Calculation completed in 00.020 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Turbine » Pelton Turbine » Absolute Velocity of Pelton Jet

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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

Absolute Velocity of Pelton Jet Formula

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

What is the jet velocity for a Pelton turbine?

The Pelton turbine is a type of impulse hydraulic turbine. The Absolute Velocity of the Pelton jet is a vector quantity and is given as the rate of change of displacement. The working principle is dependent on the velocity jet striking the buckets of the Pelton wheel.

How to Calculate Absolute Velocity of Pelton Jet?

Absolute Velocity of Pelton Jet calculator uses Velocity of Pelton Jet = Coefficient of Velocity for Pelton*sqrt(2*[g]*Pelton Head) to calculate the Velocity of Pelton Jet, The absolute velocity of Pelton jet is a vector quantity and is given as the rate of change of displacement. Velocity of Pelton Jet is denoted by V₁ symbol.

How to calculate Absolute Velocity of Pelton Jet using this online calculator? To use this online calculator for Absolute Velocity of Pelton Jet, enter Coefficient of Velocity for Pelton (C_v) & Pelton Head (H) and hit the calculate button. Here is how the Absolute Velocity of Pelton Jet calculation can be explained with given input values -> 27.84016 = 0.975*sqrt(2*[g]*42).

FAQ

What is Absolute Velocity of Pelton Jet?

The absolute velocity of Pelton jet is a vector quantity and is given as the rate of change of displacement and is represented as V₁ = C_v*sqrt(2*[g]*H) or Velocity of Pelton Jet = Coefficient of Velocity for Pelton*sqrt(2*[g]*Pelton Head). The coefficient of velocity for Pelton turbine is the ratio of the actual velocity to the theoretical velocity of a fluid jet & 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 Absolute Velocity of Pelton Jet?

The absolute velocity of Pelton jet is a vector quantity and is given as the rate of change of displacement is calculated using Velocity of Pelton Jet = Coefficient of Velocity for Pelton*sqrt(2*[g]*Pelton Head). To calculate Absolute Velocity of Pelton Jet, you need Coefficient of Velocity for Pelton (C_v) & Pelton Head (H). With our tool, you need to enter the respective value for Coefficient of Velocity for Pelton & 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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