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Diameter of hub given discharge Formula

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

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

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

Diameter of hub given discharge Example

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Here is how the Diameter of hub given discharge equation looks like with Values.

Here is how the Diameter of hub given discharge equation looks like with Units.

Here is how the Diameter of hub given discharge equation looks like.

1.6769 = \sqrt{{3.5}^{2} - (\frac{4}{3.1416} \cdot \frac{43.29}{5.84})}

1.6769m = \sqrt{{3.5m}^{2} - (\frac{4}{3.1416} \cdot \frac{43.29m³/s}{5.84m/s})}

1.6769 = \sqrt{{3.5}^{2} - (\frac{4}{3.1416} \cdot \frac{43.29}{5.84})}

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Diameter of hub given discharge Solution

Follow our step by step solution on how to calculate Diameter of hub given discharge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D b = \sqrt{{3.5m}^{2} - (\frac{4}{π} \cdot \frac{43.29m³/s}{5.84m/s})}

Next Step Substitute values of Constants

∴

D b = \sqrt{{3.5m}^{2} - (\frac{4}{3.1416} \cdot \frac{43.29m³/s}{5.84m/s})}

Next Step Prepare to Evaluate

∴

D b = \sqrt{{3.5}^{2} - (\frac{4}{3.1416} \cdot \frac{43.29}{5.84})}

Next Step Evaluate

∴

D b = 1.67687025561926m

LAST Step Rounding Answer

∴

D b = 1.6769m

Diameter of hub given discharge Formula Elements

Variables

Constants

Functions

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

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(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 Velocity of flow at inlet

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

Go Whirl velocity at inlet

V wi = \frac{V fi}{\tan (α)}

How to Evaluate Diameter of hub given discharge?

Diameter of hub given discharge evaluator uses Diameter of Hub = sqrt(Outer Diameter of Runner^2-(4/pi*Volume Flow Rate/Flow Velocity at Inlet)) to evaluate the Diameter of Hub, The Diameter of hub given discharge formula is used to find the diameter of the surface of the hub of an axial flow turbine. Diameter of Hub is denoted by D_b symbol.

How to evaluate Diameter of hub given discharge using this online evaluator? To use this online evaluator for Diameter of hub given discharge, enter Outer Diameter of Runner (D_o), Volume Flow Rate (Q) & Flow Velocity at Inlet (V_fi) and hit the calculate button.

FAQs on Diameter of hub given discharge

What is the formula to find Diameter of hub given discharge?

The formula of Diameter of hub given discharge is expressed as Diameter of Hub = sqrt(Outer Diameter of Runner^2-(4/pi*Volume Flow Rate/Flow Velocity at Inlet)). Here is an example- 1.67687 = sqrt(3.5^2-(4/pi*43.29/5.84)).

How to calculate Diameter of hub given discharge?

With Outer Diameter of Runner (D_o), Volume Flow Rate (Q) & Flow Velocity at Inlet (V_fi) we can find Diameter of hub given discharge using the formula - Diameter of Hub = sqrt(Outer Diameter of Runner^2-(4/pi*Volume Flow Rate/Flow Velocity at Inlet)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Diameter of hub given discharge be negative?

No, the Diameter of hub given discharge, measured in Length cannot be negative.

Which unit is used to measure Diameter of hub given discharge?

Diameter of hub given discharge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of hub given discharge can be measured.

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Diameter of hub given discharge Formula

Diameter of hub given discharge Example

Diameter of hub given discharge Solution

Diameter of hub given discharge Formula Elements

Other formulas in Kaplan Turbine category

How to Evaluate Diameter of hub given discharge?

FAQs on Diameter of hub given discharge

Variable Name