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Wheel Efficiency of Pelton Turbine Formula

GoWheel Efficiency of Pelton Turbine given Power Formula

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Wheel Efficiency of Pelton Turbine is the ratio of the power developed to the available power. Check FAQs

η w = \frac{2 \cdot (1 + k \cdot \cos (β 2)) \cdot (V 1 - U) \cdot U}{{V 1}^{2}}

η_w - Wheel Efficiency of Pelton Turbine?k - K Factor for Pelton?β₂ - Outlet Bucket Angle of Pelton?V₁ - Velocity of Pelton Jet?U - Bucket Velocity of Pelton Turbine?

Wheel Efficiency of Pelton Turbine Example

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Here is how the Wheel Efficiency of Pelton Turbine equation looks like with Values.

Here is how the Wheel Efficiency of Pelton Turbine equation looks like with Units.

Here is how the Wheel Efficiency of Pelton Turbine equation looks like.

0.9438 = \frac{2 \cdot (1 + 0.95 \cdot \cos (20)) \cdot (28 - 14.73) \cdot 14.73}{28^{2}}

0.9438 = \frac{2 \cdot (1 + 0.95 \cdot \cos (20°)) \cdot (28m/s - 14.73m/s) \cdot 14.73m/s}{{28m/s}^{2}}

0.9438 = \frac{2 \cdot (1 + 0.95 \cdot \cos (20)) \cdot (28 - 14.73) \cdot 14.73}{28^{2}}

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Wheel Efficiency of Pelton Turbine Solution

Follow our step by step solution on how to calculate Wheel Efficiency of Pelton Turbine?

FIRST Step Consider the formula

η w = \frac{2 \cdot (1 + k \cdot \cos (β 2)) \cdot (V 1 - U) \cdot U}{{V 1}^{2}}

Next Step Substitute values of Variables

∴

η w = \frac{2 \cdot (1 + 0.95 \cdot \cos (20°)) \cdot (28m/s - 14.73m/s) \cdot 14.73m/s}{{28m/s}^{2}}

Next Step Convert Units

∴

η w = \frac{2 \cdot (1 + 0.95 \cdot \cos (0.3491rad)) \cdot (28m/s - 14.73m/s) \cdot 14.73m/s}{{28m/s}^{2}}

Next Step Prepare to Evaluate

∴

η w = \frac{2 \cdot (1 + 0.95 \cdot \cos (0.3491)) \cdot (28 - 14.73) \cdot 14.73}{28^{2}}

Next Step Evaluate

∴

η w = 0.943780974241338

LAST Step Rounding Answer

∴

η w = 0.9438

Wheel Efficiency of Pelton Turbine Formula Elements

Variables

Functions

Wheel Efficiency of Pelton Turbine

Wheel Efficiency of Pelton Turbine is the ratio of the power developed to the available power.

Symbol: η_w

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Wheel Efficiency of Pelton Turbine

K Factor for Pelton

K Factor for Pelton is the ratio of the outlet relative velocity to the inlet relative velocity.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find K Factor for Pelton

Outlet Bucket Angle of Pelton

Outlet Bucket Angle of Pelton is the angle the bucket makes with the relative velocity at the outlet.

Symbol: β₂

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Outlet Bucket Angle of Pelton

Velocity of Pelton Jet

Velocity of Pelton Jet is a vector quantity and is given as the rate of change of displacement.

Symbol: V₁

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Pelton Jet

Bucket Velocity of Pelton Turbine

Bucket Velocity of Pelton Turbine is a vector quantity and is quantified as the rate of displacement.

Symbol: U

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Bucket Velocity of Pelton Turbine

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Wheel Efficiency of Pelton Turbine

Go Wheel Efficiency of Pelton Turbine given Power

η w = \frac{2 \cdot P t}{ρ \cdot Q p \cdot {V 1}^{2}}

Other formulas in Pelton Turbine category

Go Absolute Velocity of Pelton Jet

V 1 = C v \cdot \sqrt{2 \cdot [g] \cdot H}

Go Coefficient of Velocity for Pelton Wheel

C v = \frac{V 1}{\sqrt{2 \cdot [g] \cdot H}}

Go Pelton Head

H = \frac{{V 1}^{2}}{2 \cdot [g] \cdot {C v}^{2}}

Go Inlet Relative Velocity of Pelton

V r1 = V 1 - U

How to Evaluate Wheel Efficiency of Pelton Turbine?

Wheel Efficiency of Pelton Turbine evaluator uses 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) to evaluate the Wheel Efficiency of Pelton Turbine, Wheel Efficiency of Pelton Turbine refers to the ratio of the useful mechanical power delivered by the turbine wheel to the water power supplied to the wheel. It measures how effectively the turbine converts the energy in the water jet into rotational energy at the wheel. Wheel Efficiency of Pelton Turbine is denoted by η_w symbol.

How to evaluate Wheel Efficiency of Pelton Turbine using this online evaluator? To use this online evaluator for Wheel Efficiency of Pelton Turbine, enter K Factor for Pelton (k), Outlet Bucket Angle of Pelton (β₂), Velocity of Pelton Jet (V₁) & Bucket Velocity of Pelton Turbine (U) and hit the calculate button.

FAQs on Wheel Efficiency of Pelton Turbine

What is the formula to find Wheel Efficiency of Pelton Turbine?

The formula of Wheel Efficiency of Pelton Turbine is expressed as 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). Here is an example- 0.943781 = (2*(1+0.95*cos(0.3490658503988))*(28-14.73)*14.73)/(28^2).

How to calculate Wheel Efficiency of Pelton Turbine?

With K Factor for Pelton (k), Outlet Bucket Angle of Pelton (β₂), Velocity of Pelton Jet (V₁) & Bucket Velocity of Pelton Turbine (U) we can find Wheel Efficiency of Pelton Turbine using the formula - 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). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Wheel Efficiency of Pelton Turbine?

Here are the different ways to Calculate Wheel Efficiency of Pelton Turbine-

Wheel Efficiency of Pelton Turbine=(2*Power of Pelton Turbine)/(Mass Density*Volume Flow Rate For Pelton Turbine*Velocity of Pelton Jet^2)

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Wheel Efficiency of Pelton Turbine Formula

​GoWheel Efficiency of Pelton Turbine given Power Formula

Wheel Efficiency of Pelton Turbine Example

Wheel Efficiency of Pelton Turbine Solution

Wheel Efficiency of Pelton Turbine Formula Elements

Other Formulas to find Wheel Efficiency of Pelton Turbine

Other formulas in Pelton Turbine category

How to Evaluate Wheel Efficiency of Pelton Turbine?

FAQs on Wheel Efficiency of Pelton Turbine

Variable Name

GoWheel Efficiency of Pelton Turbine given Power Formula