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Vane angle at inlet and outlet at extreme edge of runner Formula

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Vane Angle at inlet is the angle made by the relative velocity of jet with the direction of motion at inlet. Check FAQs

θ = a \tan (\frac{V fi}{V wi - u i})

θ - Vane Angle?V_fi - Flow Velocity at Inlet?V_wi - Whirl Velocity at Inlet?u_i - Velocity of Vane at Inlet?

Vane angle at inlet and outlet at extreme edge of runner Example

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Here is how the Vane angle at inlet and outlet at extreme edge of runner equation looks like with Values.

Here is how the Vane angle at inlet and outlet at extreme edge of runner equation looks like with Units.

Here is how the Vane angle at inlet and outlet at extreme edge of runner equation looks like.

15.541 = a \tan (\frac{5.84}{31 - 10})

15.541° = a \tan (\frac{5.84m/s}{31m/s - 10m/s})

15.541 = a \tan (\frac{5.84}{31 - 10})

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Vane angle at inlet and outlet at extreme edge of runner Solution

Follow our step by step solution on how to calculate Vane angle at inlet and outlet at extreme edge of runner?

FIRST Step Consider the formula

θ = a \tan (\frac{V fi}{V wi - u i})

Next Step Substitute values of Variables

∴

θ = a \tan (\frac{5.84m/s}{31m/s - 10m/s})

Next Step Prepare to Evaluate

∴

θ = a \tan (\frac{5.84}{31 - 10})

Next Step Evaluate

∴

θ = 0.271241545811226rad

Next Step Convert to Output's Unit

∴

θ = 15.5409958035905°

LAST Step Rounding Answer

∴

θ = 15.541°

Vane angle at inlet and outlet at extreme edge of runner Formula Elements

Variables

Functions

Vane Angle

Vane Angle at inlet is the angle made by the relative velocity of jet with the direction of motion at inlet.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Vane Angle

Flow Velocity at Inlet

Flow Velocity at Inlet is the velocity of the flow at the entrance of the turbine.

Symbol: V_fi

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flow Velocity at Inlet

Whirl Velocity at Inlet

Whirl Velocity at Inlet is defined as the component of velocity of jet in the direction of motion of the vane.

Symbol: V_wi

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Whirl Velocity at Inlet

Velocity of Vane at Inlet

The Velocity of Vane at Inlet is defined as the velocity of the vane at the inlet of the turbine.

Symbol: u_i

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Vane at Inlet

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other formulas in Kaplan Turbine category

Go Discharge through runner

Q = \frac{π}{4} \cdot ({D o}^{2} - {D b}^{2}) \cdot V fi

Go Outer diameter of runner

D o = \sqrt{\frac{Q}{V fi} \cdot \frac{4}{π} + {D b}^{2}}

Go Diameter of hub given discharge

D b = \sqrt{{D o}^{2} - (\frac{4}{π} \cdot \frac{Q}{V fi})}

Go Velocity of flow at inlet

V fi = \frac{Q}{\frac{π}{4} \cdot ({D o}^{2} - {D b}^{2})}

How to Evaluate Vane angle at inlet and outlet at extreme edge of runner?

Vane angle at inlet and outlet at extreme edge of runner evaluator uses Vane Angle = atan((Flow Velocity at Inlet)/(Whirl Velocity at Inlet-Velocity of Vane at Inlet)) to evaluate the Vane Angle, The Vane angle at inlet and outlet at extreme edge of runner formula is used to find the angle made by the relative velocity with the direction of motion of the plate. Vane Angle is denoted by θ symbol.

How to evaluate Vane angle at inlet and outlet at extreme edge of runner using this online evaluator? To use this online evaluator for Vane angle at inlet and outlet at extreme edge of runner, enter Flow Velocity at Inlet (V_fi), Whirl Velocity at Inlet (V_wi) & Velocity of Vane at Inlet (u_i) and hit the calculate button.

FAQs on Vane angle at inlet and outlet at extreme edge of runner

What is the formula to find Vane angle at inlet and outlet at extreme edge of runner?

The formula of Vane angle at inlet and outlet at extreme edge of runner is expressed as Vane Angle = atan((Flow Velocity at Inlet)/(Whirl Velocity at Inlet-Velocity of Vane at Inlet)). Here is an example- 890.4335 = atan((5.84)/(31-10)).

How to calculate Vane angle at inlet and outlet at extreme edge of runner?

With Flow Velocity at Inlet (V_fi), Whirl Velocity at Inlet (V_wi) & Velocity of Vane at Inlet (u_i) we can find Vane angle at inlet and outlet at extreme edge of runner using the formula - Vane Angle = atan((Flow Velocity at Inlet)/(Whirl Velocity at Inlet-Velocity of Vane at Inlet)). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

Can the Vane angle at inlet and outlet at extreme edge of runner be negative?

No, the Vane angle at inlet and outlet at extreme edge of runner, measured in Angle cannot be negative.

Which unit is used to measure Vane angle at inlet and outlet at extreme edge of runner?

Vane angle at inlet and outlet at extreme edge of runner is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Vane angle at inlet and outlet at extreme edge of runner can be measured.

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Vane angle at inlet and outlet at extreme edge of runner Formula

Vane angle at inlet and outlet at extreme edge of runner Example

Vane angle at inlet and outlet at extreme edge of runner Solution

Vane angle at inlet and outlet at extreme edge of runner Formula Elements

Other formulas in Kaplan Turbine category

How to Evaluate Vane angle at inlet and outlet at extreme edge of runner?

FAQs on Vane angle at inlet and outlet at extreme edge of runner

Variable Name