Energy per Unit Mass of Pelton Calculator

✖The tangential inlet velocity of Pelton is a vector quantity and is given as the rate of displacement.ⓘ Tangential Inlet Velocity of Pelton [V_ti]			+10% -10%
✖The tangential outlet velocity of Pelton is a vector quantity and is quantified as the rate of displacement.ⓘ Tangential Outlet Velocity of Pelton [V_wo]			+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%

✖Energy per Unit Mass of Pelton is the rate of energy transfer per unit mass to the fluid through the rotor.ⓘ Energy per Unit Mass of Pelton [E_p]

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Formula

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Energy per Unit Mass of Pelton

Formula

`"E"_{"p"} = ("V"_{"ti"}-"V"_{"wo"})*"U"`

Example

`"384.3057m²/s²"=("28.27m/s"-"2.18m/s")*"14.73m/s"`

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Energy per Unit Mass of Pelton Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy per Unit Mass of Pelton = (Tangential Inlet Velocity of Pelton-Tangential Outlet Velocity of Pelton)*Bucket Velocity of Pelton Turbine
E_p = (V_ti-V_wo)*U
This formula uses 4 Variables

Variables Used

Energy per Unit Mass of Pelton - (Measured in Joule per Kilogram) - Energy per Unit Mass of Pelton is the rate of energy transfer per unit mass to the fluid through the rotor.
Tangential Inlet Velocity of Pelton - (Measured in Meter per Second) - The tangential inlet velocity of Pelton is a vector quantity and is given as the rate of displacement.
Tangential Outlet Velocity of Pelton - (Measured in Meter per Second) - The tangential outlet velocity of Pelton is a vector quantity and is quantified as the rate 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

Tangential Inlet Velocity of Pelton: 28.27 Meter per Second --> 28.27 Meter per Second No Conversion Required
Tangential Outlet Velocity of Pelton: 2.18 Meter per Second --> 2.18 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

E_p = (V_ti-V_wo)*U --> (28.27-2.18)*14.73

Evaluating ... ...

E_p = 384.3057

STEP 3: Convert Result to Output's Unit

384.3057 Joule per Kilogram -->384.3057 Square Meter per Square Second (Check conversion here)

FINAL ANSWER

384.3057 Square Meter per Square Second <-- Energy per Unit Mass of Pelton

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Turbine » Pelton Turbine » Energy per Unit Mass of Pelton

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

Energy per Unit Mass of Pelton Formula

Energy per Unit Mass of Pelton = (Tangential Inlet Velocity of Pelton-Tangential Outlet Velocity of Pelton)*Bucket Velocity of Pelton Turbine
E_p = (V_ti-V_wo)*U

How to calculate the energy per unit of a mass of a Pelton wheel?

A Pelton wheel is an impulse type water turbine. Energy per unit mass of the Pelton turbine is the rate of energy transfer per unit mass to the fluid through the rotor. It is calculated as the difference of the outlet and inlet tangential velocities and then multiplying by the bucket velocity.

How to Calculate Energy per Unit Mass of Pelton?

Energy per Unit Mass of Pelton calculator uses Energy per Unit Mass of Pelton = (Tangential Inlet Velocity of Pelton-Tangential Outlet Velocity of Pelton)*Bucket Velocity of Pelton Turbine to calculate the Energy per Unit Mass of Pelton, Energy per unit mass of Pelton turbine is the rate of energy transfer per unit mass to the fluid through the rotor. Energy per Unit Mass of Pelton is denoted by E_p symbol.

How to calculate Energy per Unit Mass of Pelton using this online calculator? To use this online calculator for Energy per Unit Mass of Pelton, enter Tangential Inlet Velocity of Pelton (V_ti), Tangential Outlet Velocity of Pelton (V_wo) & Bucket Velocity of Pelton Turbine (U) and hit the calculate button. Here is how the Energy per Unit Mass of Pelton calculation can be explained with given input values -> 384.3057 = (28.27-2.18)*14.73.

FAQ

What is Energy per Unit Mass of Pelton?

Energy per unit mass of Pelton turbine is the rate of energy transfer per unit mass to the fluid through the rotor and is represented as E_p = (V_ti-V_wo)*U or Energy per Unit Mass of Pelton = (Tangential Inlet Velocity of Pelton-Tangential Outlet Velocity of Pelton)*Bucket Velocity of Pelton Turbine. The tangential inlet velocity of Pelton is a vector quantity and is given as the rate of displacement, The tangential outlet velocity of Pelton is a vector quantity and is quantified as the rate of displacement & Bucket velocity of Pelton turbine is a vector quantity and is quantified as the rate of displacement.

How to calculate Energy per Unit Mass of Pelton?

Energy per unit mass of Pelton turbine is the rate of energy transfer per unit mass to the fluid through the rotor is calculated using Energy per Unit Mass of Pelton = (Tangential Inlet Velocity of Pelton-Tangential Outlet Velocity of Pelton)*Bucket Velocity of Pelton Turbine. To calculate Energy per Unit Mass of Pelton, you need Tangential Inlet Velocity of Pelton (V_ti), Tangential Outlet Velocity of Pelton (V_wo) & Bucket Velocity of Pelton Turbine (U). With our tool, you need to enter the respective value for Tangential Inlet Velocity of Pelton, Tangential Outlet Velocity of Pelton & 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.

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