Velocity of Flow at Inlet given Flow Ratio in Francis Turbine Calculator

✖Flow Ratio of Francis Turbine is the ratio of flow velocity at the exit to the theoretical jet velocity.ⓘ Flow Ratio of Francis Turbine [K_f]			+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%

✖The Velocity of Flow at Inlet of Francis Turbine is the flow velocity of the fluid at the inlet or the entry of a francis turbine.ⓘ Velocity of Flow at Inlet given Flow Ratio in Francis Turbine [V_f1]

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Velocity of Flow at Inlet given Flow Ratio in Francis Turbine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Flow at Inlet of Francis Turbine = Flow Ratio of Francis Turbine*sqrt(2*Acceleration Due to Gravity*Head at Inlet of Francis Turbine)
V_f1 = K_f*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 Flow at Inlet of Francis Turbine - (Measured in Meter per Second) - The Velocity of Flow at Inlet of Francis Turbine is the flow velocity of the fluid at the inlet or the entry of a francis turbine.
Flow Ratio of Francis Turbine - Flow Ratio of Francis Turbine is the ratio of flow velocity at the exit to the theoretical jet 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

Flow Ratio of Francis Turbine: 0.16 --> 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

V_f1 = K_f*sqrt(2*g*H_i) --> 0.16*sqrt(2*9.81*10.5)

Evaluating ... ...

V_f1 = 2.29648775306989

STEP 3: Convert Result to Output's Unit

2.29648775306989 Meter per Second --> No Conversion Required

FINAL ANSWER

2.29648775306989 ≈ 2.296488 Meter per Second <-- Velocity of Flow at Inlet of Francis Turbine

(Calculation completed in 00.020 seconds)

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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 Flow at Inlet given Flow Ratio in Francis Turbine Formula

LaTeX Go

Velocity of Flow at Inlet of Francis Turbine = Flow Ratio of Francis Turbine*sqrt(2*Acceleration Due to Gravity*Head at Inlet of Francis Turbine)
V_f1 = K_f*sqrt(2*g*H_i)

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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 Flow at Inlet given Flow Ratio in Francis Turbine?

Velocity of Flow at Inlet given Flow Ratio in Francis Turbine calculator uses Velocity of Flow at Inlet of Francis Turbine = Flow Ratio of Francis Turbine*sqrt(2*Acceleration Due to Gravity*Head at Inlet of Francis Turbine) to calculate the Velocity of Flow at Inlet of Francis Turbine, The Velocity of flow at inlet given Flow ratio in Francis turbine formula is defined as the vector field that is used to describe fluid motion in a mathematical manner. Velocity of Flow at Inlet of Francis Turbine is denoted by V_f1 symbol.

How to calculate Velocity of Flow at Inlet given Flow Ratio in Francis Turbine using this online calculator? To use this online calculator for Velocity of Flow at Inlet given Flow Ratio in Francis Turbine, enter Flow Ratio of Francis Turbine (K_f), Acceleration Due to Gravity (g) & Head at Inlet of Francis Turbine (H_i) and hit the calculate button. Here is how the Velocity of Flow at Inlet given Flow Ratio in Francis Turbine calculation can be explained with given input values -> 2.296488 = 0.16*sqrt(2*9.81*10.5).

FAQ

What is Velocity of Flow at Inlet given Flow Ratio in Francis Turbine?

The Velocity of flow at inlet given Flow ratio in Francis turbine formula is defined as the vector field that is used to describe fluid motion in a mathematical manner and is represented as V_f1 = K_f*sqrt(2*g*H_i) or Velocity of Flow at Inlet of Francis Turbine = Flow Ratio of Francis Turbine*sqrt(2*Acceleration Due to Gravity*Head at Inlet of Francis Turbine). Flow Ratio of Francis Turbine is the ratio of flow velocity at the exit to the theoretical jet 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 Flow at Inlet given Flow Ratio in Francis Turbine?

The Velocity of flow at inlet given Flow ratio in Francis turbine formula is defined as the vector field that is used to describe fluid motion in a mathematical manner is calculated using Velocity of Flow at Inlet of Francis Turbine = Flow Ratio of Francis Turbine*sqrt(2*Acceleration Due to Gravity*Head at Inlet of Francis Turbine). To calculate Velocity of Flow at Inlet given Flow Ratio in Francis Turbine, you need Flow Ratio of Francis Turbine (K_f), Acceleration Due to Gravity (g) & Head at Inlet of Francis Turbine (H_i). With our tool, you need to enter the respective value for Flow 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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