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Velocity of flow at inlet Formula

GoFlow velocity given whirl velocity 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 = \frac{Q}{\frac{π}{4} \cdot ({D o}^{2} - {D b}^{2})}

V_fi - Flow Velocity at Inlet?Q - Volume Flow Rate?D_o - Outer Diameter of Runner?D_b - Diameter of Hub?π - Archimedes' constant?

Velocity of flow at inlet Example

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Here is how the Velocity of flow at inlet equation looks like with Values.

Here is how the Velocity of flow at inlet equation looks like with Units.

Here is how the Velocity of flow at inlet equation looks like.

5.9993 = \frac{43.29}{\frac{3.1416}{4} \cdot ({3.5}^{2} - {1.75}^{2})}

5.9993m/s = \frac{43.29m³/s}{\frac{3.1416}{4} \cdot ({3.5m}^{2} - {1.75m}^{2})}

5.9993 = \frac{43.29}{\frac{3.1416}{4} \cdot ({3.5}^{2} - {1.75}^{2})}

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Velocity of flow at inlet Solution

Follow our step by step solution on how to calculate Velocity of flow at inlet?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V fi = \frac{43.29m³/s}{\frac{π}{4} \cdot ({3.5m}^{2} - {1.75m}^{2})}

Next Step Substitute values of Constants

∴

V fi = \frac{43.29m³/s}{\frac{3.1416}{4} \cdot ({3.5m}^{2} - {1.75m}^{2})}

Next Step Prepare to Evaluate

∴

V fi = \frac{43.29}{\frac{3.1416}{4} \cdot ({3.5}^{2} - {1.75}^{2})}

Next Step Evaluate

∴

V fi = 5.99929685894805m/s

LAST Step Rounding Answer

∴

V fi = 5.9993m/s

Velocity of flow at inlet Formula Elements

Variables

Constants

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

Volume Flow Rate

Volume Flow Rate is the volume of fluid that passes per unit of time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Volume Flow Rate

Outer Diameter of Runner

Outer Diameter of Runner is the diameter of the outer surface of the runner.

Symbol: D_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Runner

Diameter of Hub

Diameter of Hub is the diameter of the surface of the hub which is adjacent to the fluid flow.

Symbol: D_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Hub

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Flow Velocity at Inlet

Go Flow velocity given whirl velocity

V fi = V wi \cdot \tan (α)

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 Velocity of flow at inlet?

Velocity of flow at inlet evaluator uses Flow Velocity at Inlet = Volume Flow Rate/(pi/4*(Outer Diameter of Runner^2-Diameter of Hub^2)) to evaluate the Flow Velocity at Inlet, The Velocity of flow at inlet formula is used to find the flow velocity in an axial flow turbine when volume flow rate and diameter of hub and runner are known. Flow Velocity at Inlet is denoted by V_fi symbol.

How to evaluate Velocity of flow at inlet using this online evaluator? To use this online evaluator for Velocity of flow at inlet, enter Volume Flow Rate (Q), Outer Diameter of Runner (D_o) & Diameter of Hub (D_b) and hit the calculate button.

FAQs on Velocity of flow at inlet

What is the formula to find Velocity of flow at inlet?

The formula of Velocity of flow at inlet is expressed as Flow Velocity at Inlet = Volume Flow Rate/(pi/4*(Outer Diameter of Runner^2-Diameter of Hub^2)). Here is an example- 5.999297 = 43.29/(pi/4*(3.5^2-1.75^2)).

How to calculate Velocity of flow at inlet?

With Volume Flow Rate (Q), Outer Diameter of Runner (D_o) & Diameter of Hub (D_b) we can find Velocity of flow at inlet using the formula - Flow Velocity at Inlet = Volume Flow Rate/(pi/4*(Outer Diameter of Runner^2-Diameter of Hub^2)). This formula also uses Archimedes' constant .

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=Whirl Velocity at Inlet*tan(Guide Blade Angle)

Can the Velocity of flow at inlet be negative?

Yes, the Velocity of flow at inlet, measured in Speed can be negative.

Which unit is used to measure Velocity of flow at inlet?

Velocity of flow 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 Velocity of flow at inlet can be measured.

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Velocity of flow at inlet Formula

​GoFlow velocity given whirl velocity Formula

Velocity of flow at inlet Example

Velocity of flow at inlet Solution

Velocity of flow at inlet Formula Elements

Other Formulas to find Flow Velocity at Inlet

Other formulas in Kaplan Turbine category

How to Evaluate Velocity of flow at inlet?

FAQs on Velocity of flow at inlet

Variable Name

GoFlow velocity given whirl velocity Formula