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Outer diameter of runner Formula

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

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

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

Outer diameter of runner Example

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Here is how the Outer diameter of runner equation looks like with Values.

Here is how the Outer diameter of runner equation looks like with Units.

Here is how the Outer diameter of runner equation looks like.

3.5356 = \sqrt{\frac{43.29}{5.84} \cdot \frac{4}{3.1416} + {1.75}^{2}}

3.5356m = \sqrt{\frac{43.29m³/s}{5.84m/s} \cdot \frac{4}{3.1416} + {1.75m}^{2}}

3.5356 = \sqrt{\frac{43.29}{5.84} \cdot \frac{4}{3.1416} + {1.75}^{2}}

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Outer diameter of runner Solution

Follow our step by step solution on how to calculate Outer diameter of runner?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D o = \sqrt{\frac{43.29m³/s}{5.84m/s} \cdot \frac{4}{π} + {1.75m}^{2}}

Next Step Substitute values of Constants

∴

D o = \sqrt{\frac{43.29m³/s}{5.84m/s} \cdot \frac{4}{3.1416} + {1.75m}^{2}}

Next Step Prepare to Evaluate

∴

D o = \sqrt{\frac{43.29}{5.84} \cdot \frac{4}{3.1416} + {1.75}^{2}}

Next Step Evaluate

∴

D o = 3.53561962685742m

LAST Step Rounding Answer

∴

D o = 3.5356m

Outer diameter of runner Formula Elements

Variables

Constants

Functions

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

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

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 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})}

Go Whirl velocity at inlet

V wi = \frac{V fi}{\tan (α)}

How to Evaluate Outer diameter of runner?

Outer diameter of runner evaluator uses Outer Diameter of Runner = sqrt(Volume Flow Rate/Flow Velocity at Inlet*4/pi+Diameter of Hub^2) to evaluate the Outer Diameter of Runner, The Outer diameter of runner formula is used to obtain the outer diameter of the runner which is the outermost surface adjacent to the fluid flow. Outer Diameter of Runner is denoted by D_o symbol.

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

FAQs on Outer diameter of runner

What is the formula to find Outer diameter of runner?

The formula of Outer diameter of runner is expressed as Outer Diameter of Runner = sqrt(Volume Flow Rate/Flow Velocity at Inlet*4/pi+Diameter of Hub^2). Here is an example- 3.53562 = sqrt(43.29/5.84*4/pi+1.75^2).

How to calculate Outer diameter of runner?

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

Can the Outer diameter of runner be negative?

No, the Outer diameter of runner, measured in Length cannot be negative.

Which unit is used to measure Outer diameter of runner?

Outer diameter of runner is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Outer diameter of runner can be measured.

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Outer diameter of runner Formula

Outer diameter of runner Example

Outer diameter of runner Solution

Outer diameter of runner Formula Elements

Other formulas in Kaplan Turbine category

How to Evaluate Outer diameter of runner?

FAQs on Outer diameter of runner

Variable Name