Pressure Head given Speed Ratio in Francis Turbine Calculator

✖Velocity of Vane at Inlet For Francis Turbine is defined as the velocity of the vane at the inlet of the turbine.ⓘ Velocity of Vane at Inlet For Francis Turbine [u₁]			+10% -10%
✖Speed Ratio of Francis Turbine is the ratio of tangential velocity to the theoretical velocity.ⓘ Speed Ratio of Francis Turbine [K_u]			+10% -10%
✖Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due to Gravity [g]			+10% -10%

✖Head at Inlet of Francis Turbine is defined as the height of the water column at the inlet of the Francis turbine. It represents the energy of fluid at the inlet.ⓘ Pressure Head given Speed Ratio in Francis Turbine [H_i]

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Pressure Head given Speed Ratio in Francis Turbine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Head at Inlet of Francis Turbine = ((Velocity of Vane at Inlet For Francis Turbine/Speed Ratio of Francis Turbine)^2)/(2*Acceleration Due to Gravity)
H_i = ((u₁/K_u)^2)/(2*g)
This formula uses 4 Variables

Variables Used

Head at Inlet of Francis Turbine - (Measured in Meter) - Head at Inlet of Francis Turbine is defined as the height of the water column at the inlet of the Francis turbine. It represents the energy of fluid at the inlet.
Velocity of Vane at Inlet For Francis Turbine - (Measured in Meter per Second) - Velocity of Vane at Inlet For Francis Turbine is defined as the velocity of the vane at the inlet of the turbine.
Speed Ratio of Francis Turbine - Speed Ratio of Francis Turbine is the ratio of tangential velocity to the theoretical velocity.
Acceleration Due to Gravity - (Measured in Meter per Square Second) - Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

STEP 1: Convert Input(s) to Base Unit

Velocity of Vane at Inlet For Francis Turbine: 9.45 Meter per Second --> 9.45 Meter per Second No Conversion Required
Speed Ratio of Francis Turbine: 0.658 --> No Conversion Required
Acceleration Due to Gravity: 9.81 Meter per Square Second --> 9.81 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_i = ((u₁/K_u)^2)/(2*g) --> ((9.45/0.658)^2)/(2*9.81)

Evaluating ... ...

H_i = 10.5126650358625

STEP 3: Convert Result to Output's Unit

10.5126650358625 Meter --> No Conversion Required

FINAL ANSWER

10.5126650358625 ≈ 10.51267 Meter <-- Head at Inlet of Francis Turbine

(Calculation completed in 00.008 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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< Francis Turbine Calculators

Francis Turbine Speed Ratio

LaTeX Go Speed Ratio of Francis Turbine = Velocity of Vane at Inlet For Francis Turbine/(sqrt(2*Acceleration Due to Gravity*Head at Inlet of Francis Turbine))

Velocity of Vane at Inlet given Speed Ratio Francis Turbine

LaTeX Go Velocity of Vane at Inlet For Francis Turbine = Speed Ratio of Francis Turbine*sqrt(2*Acceleration Due to Gravity*Head at Inlet of Francis Turbine)

Francis Turbine Flow Ratio

LaTeX Go Flow Ratio of Francis Turbine = Velocity of Flow at Inlet of Francis Turbine/(sqrt(2*Acceleration Due to Gravity*Head at Inlet of Francis Turbine))

Pressure Head given Speed Ratio in Francis Turbine

LaTeX Go Head at Inlet of Francis Turbine = ((Velocity of Vane at Inlet For Francis Turbine/Speed Ratio of Francis Turbine)^2)/(2*Acceleration Due to Gravity)

Pressure Head given Speed Ratio in Francis Turbine Formula

LaTeX Go

Head at Inlet of Francis Turbine = ((Velocity of Vane at Inlet For Francis Turbine/Speed Ratio of Francis Turbine)^2)/(2*Acceleration Due to Gravity)
H_i = ((u₁/K_u)^2)/(2*g)

Where is Francis turbine used?

A Francis turbine is a type of reaction turbine used most frequently in medium- or large-scale hydroelectric plants. These turbines can be used for heads as low as 2 meters and as high as 300 meters.

How to Calculate Pressure Head given Speed Ratio in Francis Turbine?

Pressure Head given Speed Ratio in Francis Turbine calculator uses Head at Inlet of Francis Turbine = ((Velocity of Vane at Inlet For Francis Turbine/Speed Ratio of Francis Turbine)^2)/(2*Acceleration Due to Gravity) to calculate the Head at Inlet of Francis Turbine, Pressure Head given Speed Ratio in Francis Turbine , given the speed ratio, relates the actual rotational speed of the turbine to the ideal speed for optimal performance. The pressure head is influenced by the turbine's speed, which affects the dynamic components of the head, such as velocity head and potential energy conversion. Head at Inlet of Francis Turbine is denoted by H_i symbol.

How to calculate Pressure Head given Speed Ratio in Francis Turbine using this online calculator? To use this online calculator for Pressure Head given Speed Ratio in Francis Turbine, enter Velocity of Vane at Inlet For Francis Turbine (u₁), Speed Ratio of Francis Turbine (K_u) & Acceleration Due to Gravity (g) and hit the calculate button. Here is how the Pressure Head given Speed Ratio in Francis Turbine calculation can be explained with given input values -> 10.51267 = ((9.45/0.658)^2)/(2*9.81).

FAQ

What is Pressure Head given Speed Ratio in Francis Turbine?

Pressure Head given Speed Ratio in Francis Turbine , given the speed ratio, relates the actual rotational speed of the turbine to the ideal speed for optimal performance. The pressure head is influenced by the turbine's speed, which affects the dynamic components of the head, such as velocity head and potential energy conversion and is represented as H_i = ((u₁/K_u)^2)/(2*g) or Head at Inlet of Francis Turbine = ((Velocity of Vane at Inlet For Francis Turbine/Speed Ratio of Francis Turbine)^2)/(2*Acceleration Due to Gravity). Velocity of Vane at Inlet For Francis Turbine is defined as the velocity of the vane at the inlet of the turbine, Speed Ratio of Francis Turbine is the ratio of tangential velocity to the theoretical velocity & Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

How to calculate Pressure Head given Speed Ratio in Francis Turbine?

Pressure Head given Speed Ratio in Francis Turbine , given the speed ratio, relates the actual rotational speed of the turbine to the ideal speed for optimal performance. The pressure head is influenced by the turbine's speed, which affects the dynamic components of the head, such as velocity head and potential energy conversion is calculated using Head at Inlet of Francis Turbine = ((Velocity of Vane at Inlet For Francis Turbine/Speed Ratio of Francis Turbine)^2)/(2*Acceleration Due to Gravity). To calculate Pressure Head given Speed Ratio in Francis Turbine, you need Velocity of Vane at Inlet For Francis Turbine (u₁), Speed Ratio of Francis Turbine (K_u) & Acceleration Due to Gravity (g). With our tool, you need to enter the respective value for Velocity of Vane at Inlet For Francis Turbine, Speed Ratio of Francis Turbine & Acceleration Due to Gravity 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 Head at Inlet of Francis Turbine?

In this formula, Head at Inlet of Francis Turbine uses Velocity of Vane at Inlet For Francis Turbine, Speed Ratio of Francis Turbine & Acceleration Due to Gravity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Head at Inlet of Francis Turbine = ((Velocity of Flow at Inlet of Francis Turbine/Flow Ratio of Francis Turbine)^2)/(2*Acceleration Due to Gravity)

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