FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Unit speed of turbomachine Formula

Fx Copy

LaTeX Copy

Unit Speed of Turbine is the hypothetical speed of the turbine under a head of 1m. Check FAQs

N u = \frac{N}{\sqrt{H eff}}

N_u - Unit Speed of Turbine?N - Speed of Turbine?H_eff - Effective Head of Turbine?

Unit speed of turbomachine Example

With values

With units

Only example

Here is how the Unit speed of turbomachine equation looks like with Values.

Here is how the Unit speed of turbomachine equation looks like with Units.

Here is how the Unit speed of turbomachine equation looks like.

40 = \frac{200}{\sqrt{25}}

40rev/min = \frac{200rev/min}{\sqrt{25m}}

40 = \frac{200}{\sqrt{25}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Fluid Mechanics » fx Unit speed of turbomachine

Unit speed of turbomachine Solution

Follow our step by step solution on how to calculate Unit speed of turbomachine?

FIRST Step Consider the formula

N u = \frac{N}{\sqrt{H eff}}

Next Step Substitute values of Variables

∴

N u = \frac{200rev/min}{\sqrt{25m}}

Next Step Convert Units

∴

N u = \frac{20.944rad/s}{\sqrt{25m}}

Next Step Prepare to Evaluate

∴

N u = \frac{20.944}{\sqrt{25}}

Next Step Evaluate

∴

N u = 4.18879020457308rad/s

LAST Step Convert to Output's Unit

∴

N u = 40rev/min

Unit speed of turbomachine Formula Elements

Variables

Functions

Unit Speed of Turbine

Unit Speed of Turbine is the hypothetical speed of the turbine under a head of 1m.

Symbol: N_u

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Unit Speed of Turbine

Speed of Turbine

Speed of Turbine is the angular velocity of the rotation of the turbine.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Speed of Turbine

Effective Head of Turbine

Effective Head of Turbine is the net or the effective head of the turbine. It is the height difference between where the water enters the hydro system and where it leaves it.

Symbol: H_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Head of Turbine

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 Hydraulic Turbines category

Go Specific Speed of Turbine

N s = \frac{N \cdot \sqrt{P}}{{H eff}^{\frac{5}{4}}}

Go Unit flow per discharge

Q u = \frac{Q h}{\sqrt{H eff}}

Go Unit power

P u = \frac{P}{{(\sqrt{H eff})}^{3}}

Go Angular Speed of Turbine given Specific Speed

N = \frac{N s \cdot {H eff}^{\frac{5}{4}}}{\sqrt{P}}

How to Evaluate Unit speed of turbomachine?

Unit speed of turbomachine evaluator uses Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine) to evaluate the Unit Speed of Turbine, Unit speed of turbomachine is the speed at which the machine operates when the flow, head, and power are reduced to their corresponding dimensionless unit values, typically used for comparing different machines regardless of size. It helps normalize performance characteristics and is crucial in similarity laws and scaling models for turbomachinery. Unit Speed of Turbine is denoted by N_u symbol.

How to evaluate Unit speed of turbomachine using this online evaluator? To use this online evaluator for Unit speed of turbomachine, enter Speed of Turbine (N) & Effective Head of Turbine (H_eff) and hit the calculate button.

FAQs on Unit speed of turbomachine

What is the formula to find Unit speed of turbomachine?

The formula of Unit speed of turbomachine is expressed as Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine). Here is an example- 381.9719 = 20.9439510228654/sqrt(25).

How to calculate Unit speed of turbomachine?

With Speed of Turbine (N) & Effective Head of Turbine (H_eff) we can find Unit speed of turbomachine using the formula - Unit Speed of Turbine = Speed of Turbine/sqrt(Effective Head of Turbine). This formula also uses Square Root (sqrt) function(s).

Can the Unit speed of turbomachine be negative?

No, the Unit speed of turbomachine, measured in Angular Velocity cannot be negative.

Which unit is used to measure Unit speed of turbomachine?

Unit speed of turbomachine is usually measured using the Revolution per Minute[rev/min] for Angular Velocity. Radian per Second[rev/min], Radian per Day[rev/min], Radian per Hour[rev/min] are the few other units in which Unit speed of turbomachine can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Unit speed of turbomachine Formula

Unit speed of turbomachine Example

Unit speed of turbomachine Solution

Unit speed of turbomachine Formula Elements

Other formulas in Hydraulic Turbines category

How to Evaluate Unit speed of turbomachine?

FAQs on Unit speed of turbomachine

Variable Name