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Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade Formula

2

GoWork Done per Second on Runner by Water for Acute Angled Outlet Blade Formula

3

GoWork Done per Second on Runner by Water for Right Angled Outlet Blade Angle Formula

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Work Done Per Second by Francis Turbine is defined as the amount of work that is done by the Francis turbine in a given unit of time. Check FAQs

W = ρ f \cdot Q f \cdot (V w1 \cdot u 1 - V w2 \cdot u 2)

W - Work Done Per Second by Francis Turbine?ρ_f - Density of Fluid in Francis Turbine?Q_f - Volume Flow Rate For Francis Turbine?V_w1 - Whirl Velocity at Inlet of Francis Turbine?u₁ - Velocity of Vane at Inlet For Francis Turbine?V_w2 - Whirl Velocity at Outlet of Francis Turbine?u₂ - Velocity of Vane at Outlet For Francis Turbine?

Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade Example

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Here is how the Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade equation looks like with Values.

Here is how the Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade equation looks like with Units.

Here is how the Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade equation looks like.

132.5828 = 1000 \cdot 1.5 \cdot (12.93 \cdot 9.45 - 6.5 \cdot 5.2)

132.5828kW = 1000kg/m³ \cdot 1.5m³/s \cdot (12.93m/s \cdot 9.45m/s - 6.5m/s \cdot 5.2m/s)

132.5828 = 1000 \cdot 1.5 \cdot (12.93 \cdot 9.45 - 6.5 \cdot 5.2)

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Home » Physics » Mechanical » Fluid Mechanics » Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade

Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade Solution

Follow our step by step solution on how to calculate Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade?

FIRST Step Consider the formula

W = ρ f \cdot Q f \cdot (V w1 \cdot u 1 - V w2 \cdot u 2)

Next Step Substitute values of Variables

∴

W = 1000kg/m³ \cdot 1.5m³/s \cdot (12.93m/s \cdot 9.45m/s - 6.5m/s \cdot 5.2m/s)

Next Step Prepare to Evaluate

∴

W = 1000 \cdot 1.5 \cdot (12.93 \cdot 9.45 - 6.5 \cdot 5.2)

Next Step Evaluate

∴

W = 132582.75W

Next Step Convert to Output's Unit

∴

W = 132.58275kW

LAST Step Rounding Answer

∴

W = 132.5828kW

Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade Formula Elements

Variables

Work Done Per Second by Francis Turbine

Work Done Per Second by Francis Turbine is defined as the amount of work that is done by the Francis turbine in a given unit of time.

Symbol: W

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Density of Fluid in Francis Turbine

Density of Fluid in Francis Turbine is the corresponding density of the fluid at the given conditions in the franchise turbine.

Symbol: ρ_f

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Volume Flow Rate For Francis Turbine

Volume Flow Rate For Francis Turbine is the volume of fluid that passes per unit of time.

Symbol: Q_f

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Whirl Velocity at Inlet of Francis Turbine

Whirl Velocity at Inlet of Francis Turbine is the tangential component of absolute velocity at the blade inlet.

Symbol: V_w1

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Velocity of Vane at Inlet For Francis Turbine

Velocity of Vane at Inlet For Francis Turbine is defined as the velocity of the vane at the inlet of the turbine.

Symbol: u₁

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Whirl Velocity at Outlet of Francis Turbine

Whirl Velocity at Outlet of Francis Turbine is defined as the component of velocity of the jet in the direction of motion of the vane at the outlet.

Symbol: V_w2

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Velocity of Vane at Outlet For Francis Turbine

Velocity of Vane at Outlet For Francis Turbine is defined as the tangential velocity of the vane at the jet outlet.

Symbol: u₂

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Credits

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Created by Peri Krishna Karthik

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala

Peri Krishna Karthik has created this Formula and 200+ more formulas!

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Formula and 2500+ more formulas!

Other Formulas to find Work Done Per Second by Francis Turbine

Go Work Done per Second on Runner by Water for Acute Angled Outlet Blade

W = ρ f \cdot Q f \cdot (V w1 \cdot u 1 + V w2 \cdot u 2)

Go Work Done per Second on Runner by Water for Right Angled Outlet Blade Angle

W = ρ f \cdot Q f \cdot u 1 \cdot V w1

Other formulas in Francis Turbine category

Go Francis Turbine Speed Ratio

K u = \frac{u 1}{\sqrt{2 \cdot g \cdot H i}}

Go Velocity of Vane at Inlet given Speed Ratio Francis Turbine

u 1 = K u \cdot \sqrt{2 \cdot g \cdot H i}

See More

How to Evaluate Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade?

Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade evaluator uses Work Done Per Second by Francis Turbine = Density of Fluid in Francis Turbine*Volume Flow Rate For Francis Turbine*(Whirl Velocity at Inlet of Francis Turbine*Velocity of Vane at Inlet For Francis Turbine-Whirl Velocity at Outlet of Francis Turbine*Velocity of Vane at Outlet For Francis Turbine) to evaluate the Work Done Per Second by Francis Turbine, The Work done per sec on Runner by Water for Obtuse angled Outlet Blade formula can be used to evaluate the work done by the water on the runner in a second which is a measure of the turbine's capacity. Work Done Per Second by Francis Turbine is denoted by W symbol.

How to evaluate Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade using this online evaluator? To use this online evaluator for Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade, enter Density of Fluid in Francis Turbine (ρ_f), Volume Flow Rate For Francis Turbine (Q_f), Whirl Velocity at Inlet of Francis Turbine (V_w1), Velocity of Vane at Inlet For Francis Turbine (u₁), Whirl Velocity at Outlet of Francis Turbine (V_w2) & Velocity of Vane at Outlet For Francis Turbine (u₂) and hit the calculate button.

FAQs on Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade

What is the formula to find Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade?

The formula of Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade is expressed as Work Done Per Second by Francis Turbine = Density of Fluid in Francis Turbine*Volume Flow Rate For Francis Turbine*(Whirl Velocity at Inlet of Francis Turbine*Velocity of Vane at Inlet For Francis Turbine-Whirl Velocity at Outlet of Francis Turbine*Velocity of Vane at Outlet For Francis Turbine). Here is an example- 0.132583 = 1000*1.5*(12.93*9.45-6.5*5.2).

How to calculate Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade?

With Density of Fluid in Francis Turbine (ρ_f), Volume Flow Rate For Francis Turbine (Q_f), Whirl Velocity at Inlet of Francis Turbine (V_w1), Velocity of Vane at Inlet For Francis Turbine (u₁), Whirl Velocity at Outlet of Francis Turbine (V_w2) & Velocity of Vane at Outlet For Francis Turbine (u₂) we can find Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade using the formula - Work Done Per Second by Francis Turbine = Density of Fluid in Francis Turbine*Volume Flow Rate For Francis Turbine*(Whirl Velocity at Inlet of Francis Turbine*Velocity of Vane at Inlet For Francis Turbine-Whirl Velocity at Outlet of Francis Turbine*Velocity of Vane at Outlet For Francis Turbine).

What are the other ways to Calculate Work Done Per Second by Francis Turbine?

Here are the different ways to Calculate Work Done Per Second by Francis Turbine-

Work Done Per Second by Francis Turbine=Density of Fluid in Francis Turbine*Volume Flow Rate For Francis Turbine*(Whirl Velocity at Inlet of Francis Turbine*Velocity of Vane at Inlet For Francis Turbine+Whirl Velocity at Outlet of Francis Turbine*Velocity of Vane at Outlet For Francis Turbine)
Work Done Per Second by Francis Turbine=Density of Fluid in Francis Turbine*Volume Flow Rate For Francis Turbine*Velocity of Vane at Inlet For Francis Turbine*Whirl Velocity at Inlet of Francis Turbine

Can the Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade be negative?

No, the Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade, measured in Power cannot be negative.

Which unit is used to measure Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade?

Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade is usually measured using the Kilowatt[kW] for Power. Watt[kW], Milliwatt[kW], Microwatt[kW] are the few other units in which Work Done per sec on Runner by Water for Obtuse Angled Outlet Blade can be measured.

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