Pressure Head given Flow Ratio in Francis Turbine Calculator

✖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 of Francis Turbine [V_f1]			+10% -10%
✖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.ⓘ Pressure Head given Flow Ratio in Francis Turbine [H_i]

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Pressure Head given Flow Ratio in Francis Turbine Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
H_i = ((V_f1/K_f)^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 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.

STEP 1: Convert Input(s) to Base Unit

Velocity of Flow at Inlet of Francis Turbine: 2.3 Meter per Second --> 2.3 Meter per Second No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_i = ((V_f1/K_f)^2)/(2*g) --> ((2.3/0.16)^2)/(2*9.81)

Evaluating ... ...

H_i = 10.5321419469929

STEP 3: Convert Result to Output's Unit

10.5321419469929 Meter --> No Conversion Required

FINAL ANSWER

10.5321419469929 ≈ 10.53214 Meter <-- Head at Inlet of Francis Turbine

(Calculation completed in 00.004 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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National Institute Of Technology (NIT), Hamirpur

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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 Flow Ratio in Francis Turbine Formula

LaTeX Go

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)
H_i = ((V_f1/K_f)^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 Flow Ratio in Francis Turbine?

Pressure Head given Flow Ratio in Francis Turbine calculator uses 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) to calculate the Head at Inlet of Francis Turbine, Pressure Head given Flow Ratio in Francis Turbine given the flow ratio, can be understood as the head corresponding to the flow rate through the turbine. It's calculated by considering the relationship between the actual flow rate, the cross-sectional area, and the velocity of the water entering the turbine. The pressure head helps in determining the energy available for conversion into mechanical work. Head at Inlet of Francis Turbine is denoted by H_i symbol.

How to calculate Pressure Head given Flow Ratio in Francis Turbine using this online calculator? To use this online calculator for Pressure Head given Flow Ratio in Francis Turbine, enter Velocity of Flow at Inlet of Francis Turbine (V_f1), Flow Ratio of Francis Turbine (K_f) & Acceleration Due to Gravity (g) and hit the calculate button. Here is how the Pressure Head given Flow Ratio in Francis Turbine calculation can be explained with given input values -> 10.53214 = ((2.3/0.16)^2)/(2*9.81).

FAQ

What is Pressure Head given Flow Ratio in Francis Turbine?

Pressure Head given Flow Ratio in Francis Turbine given the flow ratio, can be understood as the head corresponding to the flow rate through the turbine. It's calculated by considering the relationship between the actual flow rate, the cross-sectional area, and the velocity of the water entering the turbine. The pressure head helps in determining the energy available for conversion into mechanical work and is represented as H_i = ((V_f1/K_f)^2)/(2*g) or 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). 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 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.

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

Pressure Head given Flow Ratio in Francis Turbine given the flow ratio, can be understood as the head corresponding to the flow rate through the turbine. It's calculated by considering the relationship between the actual flow rate, the cross-sectional area, and the velocity of the water entering the turbine. The pressure head helps in determining the energy available for conversion into mechanical work is calculated using 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). To calculate Pressure Head given Flow Ratio in Francis Turbine, you need Velocity of Flow at Inlet of Francis Turbine (V_f1), Flow Ratio of Francis Turbine (K_f) & Acceleration Due to Gravity (g). With our tool, you need to enter the respective value for Velocity of Flow at Inlet of Francis Turbine, Flow 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 Flow at Inlet of Francis Turbine, Flow 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 Vane at Inlet For Francis Turbine/Speed Ratio of Francis Turbine)^2)/(2*Acceleration Due to Gravity)

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