Velocity of Vane at Inlet given Speed Ratio Francis Turbine Calculator

✖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.ⓘ Head at Inlet of Francis Turbine [H_i]			+10% -10%

✖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 given Speed Ratio Francis Turbine [u₁]

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Velocity of Vane at Inlet given Speed Ratio Francis Turbine Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
u₁ = K_u*sqrt(2*g*H_i)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Head at Inlet of Francis Turbine: 10.5 Meter --> 10.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u₁ = K_u*sqrt(2*g*H_i) --> 0.658*sqrt(2*9.81*10.5)

Evaluating ... ...

u₁ = 9.44430588449993

STEP 3: Convert Result to Output's Unit

9.44430588449993 Meter per Second --> No Conversion Required

FINAL ANSWER

9.44430588449993 ≈ 9.444306 Meter per Second <-- Velocity of Vane at Inlet For Francis Turbine

(Calculation completed in 00.004 seconds)

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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)

Velocity of Vane at Inlet given Speed Ratio Francis Turbine Formula

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)
u₁ = K_u*sqrt(2*g*H_i)

what is Tip speed Ratio?

The Tip Speed Ratio (TSR) is an extremely important factor in wind turbine design. TSR refers to the ratio between the wind speed and the speed of the tips of the wind turbine blades.

How to Calculate Velocity of Vane at Inlet given Speed Ratio Francis Turbine?

Velocity of Vane at Inlet given Speed Ratio Francis Turbine calculator uses 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) to calculate the Velocity of Vane at Inlet For Francis Turbine, The Velocity of vane at inlet given speed Ratio Francis turbine is defined as the velocity of the vane at the inlet of the turbine. Velocity of Vane at Inlet For Francis Turbine is denoted by u₁ symbol.

How to calculate Velocity of Vane at Inlet given Speed Ratio Francis Turbine using this online calculator? To use this online calculator for Velocity of Vane at Inlet given Speed Ratio Francis Turbine, enter Speed Ratio of Francis Turbine (K_u), Acceleration Due to Gravity (g) & Head at Inlet of Francis Turbine (H_i) and hit the calculate button. Here is how the Velocity of Vane at Inlet given Speed Ratio Francis Turbine calculation can be explained with given input values -> 9.444306 = 0.658*sqrt(2*9.81*10.5).

FAQ

What is Velocity of Vane at Inlet given Speed Ratio Francis Turbine?

The Velocity of vane at inlet given speed Ratio Francis turbine is defined as the velocity of the vane at the inlet of the turbine and is represented as u₁ = K_u*sqrt(2*g*H_i) or 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). 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 & 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.

How to calculate Velocity of Vane at Inlet given Speed Ratio Francis Turbine?

The Velocity of vane at inlet given speed Ratio Francis turbine is defined as the velocity of the vane at the inlet of the turbine is calculated using 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). To calculate Velocity of Vane at Inlet given Speed Ratio Francis Turbine, you need Speed Ratio of Francis Turbine (K_u), Acceleration Due to Gravity (g) & Head at Inlet of Francis Turbine (H_i). With our tool, you need to enter the respective value for Speed Ratio of Francis Turbine, Acceleration Due to Gravity & Head at Inlet of Francis Turbine and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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