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Centreline Velocity Formula

GoCentreline Velocity given Shear and Mean Velocity Formula

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Centreline Velocity is defined as the maximum velocity in the pipe, so it is, most of the time, larger than the average velocity. Check FAQs

U max = 1.43 \cdot V \cdot \sqrt{1 + f}

U_max - Centreline Velocity?V - Mean Velocity?f - Friction Factor?

Centreline Velocity Example

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With units

Only example

Here is how the Centreline Velocity equation looks like with Values.

Here is how the Centreline Velocity equation looks like with Units.

Here is how the Centreline Velocity equation looks like.

3.0803 = 1.43 \cdot 2 \cdot \sqrt{1 + 0.16}

3.0803m/s = 1.43 \cdot 2m/s \cdot \sqrt{1 + 0.16}

3.0803 = 1.43 \cdot 2 \cdot \sqrt{1 + 0.16}

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Centreline Velocity Solution

Follow our step by step solution on how to calculate Centreline Velocity?

FIRST Step Consider the formula

U max = 1.43 \cdot V \cdot \sqrt{1 + f}

Next Step Substitute values of Variables

∴

U max = 1.43 \cdot 2m/s \cdot \sqrt{1 + 0.16}

Next Step Prepare to Evaluate

∴

U max = 1.43 \cdot 2 \cdot \sqrt{1 + 0.16}

Next Step Evaluate

∴

U max = 3.08031426968094m/s

LAST Step Rounding Answer

∴

U max = 3.0803m/s

Centreline Velocity Formula Elements

Variables

Functions

Centreline Velocity

Centreline Velocity is defined as the maximum velocity in the pipe, so it is, most of the time, larger than the average velocity.

Symbol: U_max

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Centreline Velocity

Mean Velocity

Mean Velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Friction Factor

The Friction Factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Factor

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 to find Centreline Velocity

Go Centreline Velocity given Shear and Mean Velocity

U max = 3.75 \cdot V' + V

Other formulas in Turbulent Flow category

Go Shear Velocity for Turbulent Flow in Pipes

V' = \sqrt{\frac{𝜏}{ρ f}}

Go Shear Stress Developed for Turbulent Flow in Pipes

𝜏 = ρ f \cdot {V'}^{2}

Go Roughness Reynold Number for Turbulent Flow in Pipes

Re = \frac{k \cdot V'}{v'}

Go Average Height of Irregularities for Turbulent Flow in Pipes

k = \frac{v' \cdot Re}{V'}

How to Evaluate Centreline Velocity?

Centreline Velocity evaluator uses Centreline Velocity = 1.43*Mean Velocity*sqrt(1+Friction Factor) to evaluate the Centreline Velocity, The Centreline Velocity formula is defined as the maximum velocity in the pipe, so it is, most of the time, larger than the average velocity. Centreline Velocity is denoted by U_max symbol.

How to evaluate Centreline Velocity using this online evaluator? To use this online evaluator for Centreline Velocity, enter Mean Velocity (V) & Friction Factor (f) and hit the calculate button.

FAQs on Centreline Velocity

What is the formula to find Centreline Velocity?

The formula of Centreline Velocity is expressed as Centreline Velocity = 1.43*Mean Velocity*sqrt(1+Friction Factor). Here is an example- 2.888458 = 1.43*2*sqrt(1+0.16).

How to calculate Centreline Velocity?

With Mean Velocity (V) & Friction Factor (f) we can find Centreline Velocity using the formula - Centreline Velocity = 1.43*Mean Velocity*sqrt(1+Friction Factor). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Centreline Velocity?

Here are the different ways to Calculate Centreline Velocity-

Centreline Velocity=3.75*Shear Velocity+Mean Velocity

Can the Centreline Velocity be negative?

Yes, the Centreline Velocity, measured in Speed can be negative.

Which unit is used to measure Centreline Velocity?

Centreline 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 Centreline Velocity can be measured.

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Centreline Velocity Formula

​GoCentreline Velocity given Shear and Mean Velocity Formula

Centreline Velocity Example

Centreline Velocity Solution

Centreline Velocity Formula Elements

Other Formulas to find Centreline Velocity

Other formulas in Turbulent Flow category

How to Evaluate Centreline Velocity?

FAQs on Centreline Velocity

Variable Name

GoCentreline Velocity given Shear and Mean Velocity Formula