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Whirl velocity at inlet Formula

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

V wi = \frac{V fi}{\tan (α)}

V_wi - Whirl Velocity at Inlet?V_fi - Flow Velocity at Inlet?α - Guide Blade Angle?

Whirl velocity at inlet Example

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Here is how the Whirl velocity at inlet equation looks like with Values.

Here is how the Whirl velocity at inlet equation looks like with Units.

Here is how the Whirl velocity at inlet equation looks like.

29.9604 = \frac{5.84}{\tan (11.03)}

29.9604m/s = \frac{5.84m/s}{\tan (11.03°)}

29.9604 = \frac{5.84}{\tan (11.03)}

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Whirl velocity at inlet Solution

Follow our step by step solution on how to calculate Whirl velocity at inlet?

FIRST Step Consider the formula

V wi = \frac{V fi}{\tan (α)}

Next Step Substitute values of Variables

∴

V wi = \frac{5.84m/s}{\tan (11.03°)}

Next Step Convert Units

∴

V wi = \frac{5.84m/s}{\tan (0.1925rad)}

Next Step Prepare to Evaluate

∴

V wi = \frac{5.84}{\tan (0.1925)}

Next Step Evaluate

∴

V wi = 29.9604337421793m/s

LAST Step Rounding Answer

∴

V wi = 29.9604m/s

Whirl velocity at inlet Formula Elements

Variables

Functions

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

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

Guide Blade Angle

Guide Blade Angle is defined as the angle between the direction of the jet and the direction of motion of the plate.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be less than 361.

Formulas to find Guide Blade Angle

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)

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 Whirl velocity at inlet?

Whirl velocity at inlet evaluator uses Whirl Velocity at Inlet = Flow Velocity at Inlet/tan(Guide Blade Angle) to evaluate the Whirl Velocity at Inlet, The Whirl velocity at inlet formula is used to find the tangential component of absolute jet velocity at inlet. Whirl Velocity at Inlet is denoted by V_wi symbol.

How to evaluate Whirl velocity at inlet using this online evaluator? To use this online evaluator for Whirl velocity at inlet, enter Flow Velocity at Inlet (V_fi) & Guide Blade Angle (α) and hit the calculate button.

FAQs on Whirl velocity at inlet

What is the formula to find Whirl velocity at inlet?

The formula of Whirl velocity at inlet is expressed as Whirl Velocity at Inlet = Flow Velocity at Inlet/tan(Guide Blade Angle). Here is an example- 29.96043 = 5.84/tan(0.192509816494938).

How to calculate Whirl velocity at inlet?

With Flow Velocity at Inlet (V_fi) & Guide Blade Angle (α) we can find Whirl velocity at inlet using the formula - Whirl Velocity at Inlet = Flow Velocity at Inlet/tan(Guide Blade Angle). This formula also uses Tangent (tan) function(s).

Can the Whirl velocity at inlet be negative?

No, the Whirl velocity at inlet, measured in Speed cannot be negative.

Which unit is used to measure Whirl velocity at inlet?

Whirl velocity at inlet is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Whirl velocity at inlet can be measured.

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