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Francis Turbine Flow Ratio Formula

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

K f = \frac{V f1}{\sqrt{2 \cdot g \cdot H i}}

K_f - Flow Ratio of Francis Turbine?V_f1 - Velocity of Flow at Inlet of Francis Turbine?g - Acceleration Due to Gravity?H_i - Head at Inlet of Francis Turbine?

Francis Turbine Flow Ratio Example

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Here is how the Francis Turbine Flow Ratio equation looks like with Values.

Here is how the Francis Turbine Flow Ratio equation looks like with Units.

Here is how the Francis Turbine Flow Ratio equation looks like.

0.1602 = \frac{2.3}{\sqrt{2 \cdot 9.81 \cdot 10.5}}

0.1602 = \frac{2.3m/s}{\sqrt{2 \cdot 9.81m/s² \cdot 10.5m}}

0.1602 = \frac{2.3}{\sqrt{2 \cdot 9.81 \cdot 10.5}}

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Francis Turbine Flow Ratio Solution

Follow our step by step solution on how to calculate Francis Turbine Flow Ratio?

FIRST Step Consider the formula

K f = \frac{V f1}{\sqrt{2 \cdot g \cdot H i}}

Next Step Substitute values of Variables

∴

K f = \frac{2.3m/s}{\sqrt{2 \cdot 9.81m/s² \cdot 10.5m}}

Next Step Prepare to Evaluate

∴

K f = \frac{2.3}{\sqrt{2 \cdot 9.81 \cdot 10.5}}

Next Step Evaluate

∴

K f = 0.160244703899712

LAST Step Rounding Answer

∴

K f = 0.1602

Francis Turbine Flow Ratio Formula Elements

Variables

Functions

Flow Ratio of Francis Turbine

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

Symbol: K_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Flow Ratio of Francis Turbine

Velocity of Flow 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.

Symbol: V_f1

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Flow at Inlet of Francis Turbine

Acceleration Due to Gravity

Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration Due to Gravity

Head at Inlet of Francis Turbine

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.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head at Inlet of Francis Turbine

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.

Syntax: sqrt(Number)

Other formulas in Francis Turbine category

Go Francis Turbine Speed Ratio

K u = \frac{u 1}{\sqrt{2 \cdot g \cdot H i}}

Go Velocity of Vane at Inlet given Speed Ratio Francis Turbine

u 1 = K u \cdot \sqrt{2 \cdot g \cdot H i}

Go Pressure Head given Speed Ratio in Francis Turbine

H i = \frac{{(\frac{u 1}{K u})}^{2}}{2 \cdot g}

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

V f1 = K f \cdot \sqrt{2 \cdot g \cdot H i}

How to Evaluate Francis Turbine Flow Ratio?

Francis Turbine Flow Ratio evaluator 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 evaluate 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 evaluate Francis Turbine Flow Ratio using this online evaluator? To use this online evaluator 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.

FAQs on Francis Turbine Flow Ratio

What is the formula to find Francis Turbine Flow Ratio?

The formula of Francis Turbine Flow Ratio is expressed as 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)). Here is an example- 0.160245 = 2.3/(sqrt(2*9.81*10.5)).

How to calculate Francis Turbine Flow Ratio?

With Velocity of Flow at Inlet of Francis Turbine (V_f1), Acceleration Due to Gravity (g) & Head at Inlet of Francis Turbine (H_i) we can find Francis Turbine Flow Ratio using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

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Francis Turbine Flow Ratio Formula

Francis Turbine Flow Ratio Example

Francis Turbine Flow Ratio Solution

Francis Turbine Flow Ratio Formula Elements

Other formulas in Francis Turbine category

How to Evaluate Francis Turbine Flow Ratio?

FAQs on Francis Turbine Flow Ratio

Variable Name