Power of Pelton Turbine given Velocity 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%
✖The Mass Density of a substance is its mass per unit volume.ⓘ Mass Density [ρ]			+10% -10%
✖Volume Flow Rate for Pelton Turbine is the volume of fluid that passes per unit of time.ⓘ Volume Flow Rate for Pelton Turbine [Q_p]			+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%
✖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 power of Pelton turbine is the amount of energy transferred or converted per unit of time.ⓘ Power of Pelton Turbine given Velocity [P_t]

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Formula

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Power of Pelton Turbine given Velocity

Formula

`"P"_{"t"} = (1+"k"*cos("β"_{"2"}))*"ρ"*"Q"_{"p"}*"U"*("V"_{"1"}-"U")`

Example

`"553.2784kW"=(1+"0.95"*cos("20°"))*"997kg/m³"*"1.5m³/s"*"14.73m/s"*("28m/s"-"14.73m/s")`

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Power of Pelton Turbine given Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
P_t = (1+k*cos(β₂))*ρ*Q_p*U*(V₁-U)
This formula uses 1 Functions, 7 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

Power of Pelton Turbine - (Measured in Watt) - The power of Pelton turbine is the amount of energy transferred or converted per unit of time.
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.
Mass Density - (Measured in Kilogram per Cubic Meter) - The Mass Density of a substance is its mass per unit volume.
Volume Flow Rate for Pelton Turbine - (Measured in Cubic Meter per Second) - Volume Flow Rate for Pelton Turbine is the volume of fluid that passes per unit of time.
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.
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.

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)
Mass Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Volume Flow Rate for Pelton Turbine: 1.5 Cubic Meter per Second --> 1.5 Cubic Meter per Second No Conversion Required
Bucket Velocity of Pelton Turbine: 14.73 Meter per Second --> 14.73 Meter per Second No Conversion Required
Velocity of Pelton Jet: 28 Meter per Second --> 28 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_t = (1+k*cos(β₂))*ρ*Q_p*U*(V₁-U) --> (1+0.95*cos(0.3490658503988))*997*1.5*14.73*(28-14.73)

Evaluating ... ...

P_t = 553278.383215345

STEP 3: Convert Result to Output's Unit

553278.383215345 Watt -->553.278383215345 Kilowatt (Check conversion here)

FINAL ANSWER

553.278383215345 ≈ 553.2784 Kilowatt <-- Power of Pelton Turbine

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Fluid Machinery » Turbine » Pelton Turbine » Power of Pelton Turbine given Velocity

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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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< 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

Power of Pelton Turbine given Velocity Formula

What is Power of the Pelton turbine?

The power of the Pelton turbine is the amount of energy transferred or converted per unit of time. This formula uses the absolute velocity of the Pelton jet to calculate the power delivered by the Pelton turbine. This is the power transmitted by the fluid to the wheel.

How to Calculate Power of Pelton Turbine given Velocity?

Power of Pelton Turbine given Velocity calculator uses 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) to calculate the Power of Pelton Turbine, The power of Pelton turbine given velocity is the amount of energy transferred or converted per unit of time. This is transmitted by the fluid to the wheel. Power of Pelton Turbine is denoted by P_t symbol.

How to calculate Power of Pelton Turbine given Velocity using this online calculator? To use this online calculator for Power of Pelton Turbine given Velocity, enter K Factor for Pelton (k), Outlet Bucket Angle of Pelton (β₂), Mass Density (ρ), Volume Flow Rate for Pelton Turbine (Q_p), Bucket Velocity of Pelton Turbine (U) & Velocity of Pelton Jet (V₁) and hit the calculate button. Here is how the Power of Pelton Turbine given Velocity calculation can be explained with given input values -> 0.553278 = (1+0.95*cos(0.3490658503988))*997*1.5*14.73*(28-14.73).

FAQ

What is Power of Pelton Turbine given Velocity?

The power of Pelton turbine given velocity is the amount of energy transferred or converted per unit of time. This is transmitted by the fluid to the wheel and is represented as P_t = (1+k*cos(β₂))*ρ*Q_p*U*(V₁-U) or 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). 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, The Mass Density of a substance is its mass per unit volume, Volume Flow Rate for Pelton Turbine is the volume of fluid that passes per unit of time, Bucket velocity of Pelton turbine is a vector quantity and is quantified as the rate of displacement & The velocity of Pelton jet is a vector quantity and is given as the rate of change of displacement.

How to calculate Power of Pelton Turbine given Velocity?

The power of Pelton turbine given velocity is the amount of energy transferred or converted per unit of time. This is transmitted by the fluid to the wheel is calculated using 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). To calculate Power of Pelton Turbine given Velocity, you need K Factor for Pelton (k), Outlet Bucket Angle of Pelton (β₂), Mass Density (ρ), Volume Flow Rate for Pelton Turbine (Q_p), Bucket Velocity of Pelton Turbine (U) & Velocity of Pelton Jet (V₁). With our tool, you need to enter the respective value for K Factor for Pelton, Outlet Bucket Angle of Pelton, Mass Density, Volume Flow Rate for Pelton Turbine, Bucket Velocity of Pelton Turbine & Velocity of Pelton Jet 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 Power of Pelton Turbine?

In this formula, Power of Pelton Turbine uses K Factor for Pelton, Outlet Bucket Angle of Pelton, Mass Density, Volume Flow Rate for Pelton Turbine, Bucket Velocity of Pelton Turbine & Velocity of Pelton Jet. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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