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Pressure Head given Speed Ratio in Francis Turbine Formula

GoPressure Head given Flow Ratio in Francis Turbine Formula

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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. Check FAQs

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

H_i - Head at Inlet of Francis Turbine?u₁ - Velocity of Vane at Inlet For Francis Turbine?K_u - Speed Ratio of Francis Turbine?g - Acceleration Due to Gravity?

Pressure Head given Speed Ratio in Francis Turbine Example

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Here is how the Pressure Head given Speed Ratio in Francis Turbine equation looks like with Values.

Here is how the Pressure Head given Speed Ratio in Francis Turbine equation looks like with Units.

Here is how the Pressure Head given Speed Ratio in Francis Turbine equation looks like.

10.5127 = \frac{{(\frac{9.45}{0.658})}^{2}}{2 \cdot 9.81}

10.5127m = \frac{{(\frac{9.45m/s}{0.658})}^{2}}{2 \cdot 9.81m/s²}

10.5127 = \frac{{(\frac{9.45}{0.658})}^{2}}{2 \cdot 9.81}

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Pressure Head given Speed Ratio in Francis Turbine Solution

Follow our step by step solution on how to calculate Pressure Head given Speed Ratio in Francis Turbine?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H i = \frac{{(\frac{9.45m/s}{0.658})}^{2}}{2 \cdot 9.81m/s²}

Next Step Prepare to Evaluate

∴

H i = \frac{{(\frac{9.45}{0.658})}^{2}}{2 \cdot 9.81}

Next Step Evaluate

∴

H i = 10.5126650358625m

LAST Step Rounding Answer

∴

H i = 10.5127m

Pressure Head given Speed Ratio in Francis Turbine Formula Elements

Variables

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

Velocity of Vane at Inlet For Francis Turbine

Velocity of Vane at Inlet For Francis Turbine is defined as the velocity of the vane at the inlet of the turbine.

Symbol: u₁

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Vane at Inlet For Francis Turbine

Speed Ratio of Francis Turbine

Speed Ratio of Francis Turbine is the ratio of tangential velocity to the theoretical velocity.

Symbol: K_u

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Speed Ratio 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

Other Formulas to find Head at Inlet of Francis Turbine

Go Pressure Head given Flow Ratio in Francis Turbine

H i = \frac{{(\frac{V f1}{K f})}^{2}}{2 \cdot g}

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 Francis Turbine Flow Ratio

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

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 Pressure Head given Speed Ratio in Francis Turbine?

Pressure Head given Speed Ratio in Francis Turbine evaluator uses 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) to evaluate the Head at Inlet of Francis Turbine, Pressure Head given Speed Ratio in Francis Turbine , given the speed ratio, relates the actual rotational speed of the turbine to the ideal speed for optimal performance. The pressure head is influenced by the turbine's speed, which affects the dynamic components of the head, such as velocity head and potential energy conversion. Head at Inlet of Francis Turbine is denoted by H_i symbol.

How to evaluate Pressure Head given Speed Ratio in Francis Turbine using this online evaluator? To use this online evaluator for Pressure Head given Speed Ratio in Francis Turbine, enter Velocity of Vane at Inlet For Francis Turbine (u₁), Speed Ratio of Francis Turbine (K_u) & Acceleration Due to Gravity (g) and hit the calculate button.

FAQs on Pressure Head given Speed Ratio in Francis Turbine

What is the formula to find Pressure Head given Speed Ratio in Francis Turbine?

The formula of Pressure Head given Speed Ratio in Francis Turbine is expressed as 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). Here is an example- 10.51267 = ((9.45/0.658)^2)/(2*9.81).

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

With Velocity of Vane at Inlet For Francis Turbine (u₁), Speed Ratio of Francis Turbine (K_u) & Acceleration Due to Gravity (g) we can find Pressure Head given Speed Ratio in Francis Turbine using the formula - 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).

What are the other ways to Calculate Head at Inlet of Francis Turbine?

Here are the different ways to Calculate Head at Inlet of Francis Turbine-

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)

Can the Pressure Head given Speed Ratio in Francis Turbine be negative?

No, the Pressure Head given Speed Ratio in Francis Turbine, measured in Length cannot be negative.

Which unit is used to measure Pressure Head given Speed Ratio in Francis Turbine?

Pressure Head given Speed Ratio in Francis Turbine is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pressure Head given Speed Ratio in Francis Turbine can be measured.

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Pressure Head given Speed Ratio in Francis Turbine Formula

​GoPressure Head given Flow Ratio in Francis Turbine Formula

Pressure Head given Speed Ratio in Francis Turbine Example

Pressure Head given Speed Ratio in Francis Turbine Solution

Pressure Head given Speed Ratio in Francis Turbine Formula Elements

Other Formulas to find Head at Inlet of Francis Turbine

Other formulas in Francis Turbine category

How to Evaluate Pressure Head given Speed Ratio in Francis Turbine?

FAQs on Pressure Head given Speed Ratio in Francis Turbine

Variable Name

GoPressure Head given Flow Ratio in Francis Turbine Formula