FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

1

Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade Formula

2

GoHydraulic Efficiency of Francis Turbine with Obtuse Angled Outlet Blade Formula

3

GoHydraulic Efficiency of Francis Turbine with Right Angled Outlet Blade Formula

Fx Copy

LaTeX Copy

The Hydraulic Efficiency of Francis Turbine is the measure of the amount of work input that is converted into useful work output. Check FAQs

η h = \frac{V w1 \cdot u 1 + V w2 \cdot u 2}{g \cdot H f}

η_h - Hydraulic Efficiency of 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?g - Acceleration Due to Gravity?H_f - Net Francis Turbine Head?

Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade Example

With values

With units

Only example

Here is how the Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade equation looks like with Values.

Here is how the Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade equation looks like with Units.

Here is how the Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade equation looks like.

0.7261 = \frac{12.93 \cdot 9.45 + 6.5 \cdot 5.2}{9.81 \cdot 21.9}

0.7261 = \frac{12.93m/s \cdot 9.45m/s + 6.5m/s \cdot 5.2m/s}{9.81m/s² \cdot 21.9m}

0.7261 = \frac{12.93 \cdot 9.45 + 6.5 \cdot 5.2}{9.81 \cdot 21.9}

Tip: Use pencil () icon above to edit Input Values and Units.

Solution

Copy

Share

You are here -

Home » Physics » Mechanical » Fluid Mechanics » Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade

Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade Solution

Follow our step by step solution on how to calculate Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade?

FIRST Step Consider the formula

η h = \frac{V w1 \cdot u 1 + V w2 \cdot u 2}{g \cdot H f}

Next Step Substitute values of Variables

∴

η h = \frac{12.93m/s \cdot 9.45m/s + 6.5m/s \cdot 5.2m/s}{9.81m/s² \cdot 21.9m}

Next Step Prepare to Evaluate

∴

η h = \frac{12.93 \cdot 9.45 + 6.5 \cdot 5.2}{9.81 \cdot 21.9}

Next Step Evaluate

∴

η h = 0.726071616419737

LAST Step Rounding Answer

∴

η h = 0.7261

Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade Formula Elements

Variables

Hydraulic Efficiency of Francis Turbine

The Hydraulic Efficiency of Francis Turbine is the measure of the amount of work input that is converted into useful work output.

Symbol: η_h

Measurement: NAUnit: Unitless

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.

Acceleration Due to Gravity

Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Net Francis Turbine Head

The Net Francis Turbine Head is defined as the net water head in the turbine.

Symbol: H_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Credits

Creator Image

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!

Verifier Image

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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

Other Formulas to find Hydraulic Efficiency of Francis Turbine

Go Hydraulic Efficiency of Francis Turbine with Obtuse Angled Outlet Blade

η h = \frac{V w1 \cdot u 1 - V w2 \cdot u 2}{g \cdot H f}

Go Hydraulic Efficiency of Francis Turbine with Right Angled Outlet Blade

η h = \frac{V w1 \cdot u 1}{g \cdot H f}

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 Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade?

Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade evaluator uses Hydraulic Efficiency of 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)/(Acceleration Due to Gravity*Net Francis Turbine Head) to evaluate the Hydraulic Efficiency of Francis Turbine, Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade is the ratio of the hydraulic power (useful power output) to the water power supplied to the turbine. The acute-angled outlet blades help in reducing energy losses due to fluid exit velocity, thus potentially improving the hydraulic efficiency of the turbine. Hydraulic Efficiency of Francis Turbine is denoted by η_h symbol.

How to evaluate Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade using this online evaluator? To use this online evaluator for Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade, enter 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), Acceleration Due to Gravity (g) & Net Francis Turbine Head (H_f) and hit the calculate button.

FAQs on Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade

What is the formula to find Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade?

The formula of Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade is expressed as Hydraulic Efficiency of 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)/(Acceleration Due to Gravity*Net Francis Turbine Head). Here is an example- 0.726072 = (12.93*9.45+6.5*5.2)/(9.81*21.9).

How to calculate Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade?

With 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), Acceleration Due to Gravity (g) & Net Francis Turbine Head (H_f) we can find Hydraulic Efficiency of Francis Turbine with Acute Angled Outlet Blade using the formula - Hydraulic Efficiency of 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)/(Acceleration Due to Gravity*Net Francis Turbine Head).

What are the other ways to Calculate Hydraulic Efficiency of Francis Turbine?

Here are the different ways to Calculate Hydraulic Efficiency of Francis Turbine-

Hydraulic Efficiency of 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)/(Acceleration Due to Gravity*Net Francis Turbine Head)
Hydraulic Efficiency of Francis Turbine=(Whirl Velocity at Inlet of Francis Turbine*Velocity of Vane at Inlet For Francis Turbine)/(Acceleration Due to Gravity*Net Francis Turbine Head)

Spanish French German Russian Italian Portuguese Polish Dutch

© 2024-2026. Developed & Maintained by softUsvista Inc.

Let Others Know

✖

WhatsApp

Copied!