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Flow velocity given whirl velocity Formula

GoVelocity of flow at inlet Formula

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

V fi = V wi \cdot \tan (α)

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

Flow velocity given whirl velocity Example

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Here is how the Flow velocity given whirl velocity equation looks like with Values.

Here is how the Flow velocity given whirl velocity equation looks like with Units.

Here is how the Flow velocity given whirl velocity equation looks like.

6.0426 = 31 \cdot \tan (11.03)

6.0426m/s = 31m/s \cdot \tan (11.03°)

6.0426 = 31 \cdot \tan (11.03)

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Flow velocity given whirl velocity Solution

Follow our step by step solution on how to calculate Flow velocity given whirl velocity?

FIRST Step Consider the formula

V fi = V wi \cdot \tan (α)

Next Step Substitute values of Variables

∴

V fi = 31m/s \cdot \tan (11.03°)

Next Step Convert Units

∴

V fi = 31m/s \cdot \tan (0.1925rad)

Next Step Prepare to Evaluate

∴

V fi = 31 \cdot \tan (0.1925)

Next Step Evaluate

∴

V fi = 6.04263614999424m/s

LAST Step Rounding Answer

∴

V fi = 6.0426m/s

Flow velocity given whirl velocity Formula Elements

Variables

Functions

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

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 to find Flow Velocity at Inlet

Go Velocity of flow at inlet

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

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 Whirl velocity at inlet

V wi = \frac{V fi}{\tan (α)}

How to Evaluate Flow velocity given whirl velocity?

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

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

FAQs on Flow velocity given whirl velocity

What is the formula to find Flow velocity given whirl velocity?

The formula of Flow velocity given whirl velocity is expressed as Flow Velocity at Inlet = Whirl Velocity at Inlet*tan(Guide Blade Angle). Here is an example- 6.042636 = 31*tan(0.192509816494938).

How to calculate Flow velocity given whirl velocity?

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

What are the other ways to Calculate Flow Velocity at Inlet?

Here are the different ways to Calculate Flow Velocity at Inlet-

Flow Velocity at Inlet=Volume Flow Rate/(pi/4*(Outer Diameter of Runner^2-Diameter of Hub^2))

Can the Flow velocity given whirl velocity be negative?

Yes, the Flow velocity given whirl velocity, measured in Speed can be negative.

Which unit is used to measure Flow velocity given whirl velocity?

Flow velocity given whirl velocity 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 Flow velocity given whirl velocity can be measured.

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