Francis Turbine Flow Ratio 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%
✖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%

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

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Francis Turbine Flow Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
K_f = V_f1/(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

Flow Ratio of Francis Turbine - Flow Ratio of Francis Turbine is the ratio of flow velocity at the exit to the theoretical jet velocity.
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.
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

Velocity of Flow at Inlet of Francis Turbine: 2.3 Meter per Second --> 2.3 Meter per Second 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

K_f = V_f1/(sqrt(2*g*H_i)) --> 2.3/(sqrt(2*9.81*10.5))

Evaluating ... ...

K_f = 0.160244703899712

STEP 3: Convert Result to Output's Unit

0.160244703899712 --> No Conversion Required

FINAL ANSWER

0.160244703899712 ≈ 0.160245 <-- Flow Ratio 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)

Francis Turbine Flow Ratio Formula

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))
K_f = V_f1/(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 Francis Turbine Flow Ratio?

Francis Turbine Flow Ratio calculator uses 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)) to calculate the Flow Ratio of Francis Turbine, Francis Turbine Flow Ratio is the ratio of the actual water flow rate through the turbine to the ideal water flow rate needed to produce maximum power output. It helps in understanding the efficiency and performance of the turbine under varying flow conditions. Flow Ratio of Francis Turbine is denoted by K_f symbol.

How to calculate Francis Turbine Flow Ratio using this online calculator? To use this online calculator for Francis Turbine Flow Ratio, enter Velocity of Flow at Inlet of Francis Turbine (V_f1), Acceleration Due to Gravity (g) & Head at Inlet of Francis Turbine (H_i) and hit the calculate button. Here is how the Francis Turbine Flow Ratio calculation can be explained with given input values -> 0.160245 = 2.3/(sqrt(2*9.81*10.5)).

FAQ

What is Francis Turbine Flow Ratio?

Francis Turbine Flow Ratio is the ratio of the actual water flow rate through the turbine to the ideal water flow rate needed to produce maximum power output. It helps in understanding the efficiency and performance of the turbine under varying flow conditions and is represented as K_f = V_f1/(sqrt(2*g*H_i)) or 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)). 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, 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 Francis Turbine Flow Ratio?

Francis Turbine Flow Ratio is the ratio of the actual water flow rate through the turbine to the ideal water flow rate needed to produce maximum power output. It helps in understanding the efficiency and performance of the turbine under varying flow conditions is calculated using 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)). To calculate Francis Turbine Flow Ratio, you need Velocity of Flow at Inlet of Francis Turbine (V_f1), Acceleration Due to Gravity (g) & Head at Inlet of Francis Turbine (H_i). With our tool, you need to enter the respective value for Velocity of Flow at Inlet 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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