Mean Velocity given Centreline Velocity Calculator

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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.ⓘ Centreline Velocity [U_max]			+10% -10%
✖The Friction Factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.ⓘ Friction Factor [f]			+10% -10%

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity given Centreline Velocity [V]

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Formula

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Mean Velocity given Centreline Velocity

Formula

`"V" = "U"_{"max"}/(1.43*sqrt(1+"f"))`

Example

`"1.869939m/s"="2.88m/s"/(1.43*sqrt(1+"0.16"))`

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Mean Velocity given Centreline Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Velocity = Centreline Velocity/(1.43*sqrt(1+Friction Factor))
V = U_max/(1.43*sqrt(1+f))
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Centreline Velocity - (Measured in Meter per Second) - Centreline velocity is defined as the maximum velocity in the pipe, so it is, most of the time, larger than the average 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.

STEP 1: Convert Input(s) to Base Unit

Centreline Velocity: 2.88 Meter per Second --> 2.88 Meter per Second No Conversion Required
Friction Factor: 0.16 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = U_max/(1.43*sqrt(1+f)) --> 2.88/(1.43*sqrt(1+0.16))

Evaluating ... ...

V = 1.86993906975493

STEP 3: Convert Result to Output's Unit

1.86993906975493 Meter per Second --> No Conversion Required

FINAL ANSWER

1.86993906975493 ≈ 1.869939 Meter per Second <-- Mean Velocity

(Calculation completed in 00.004 seconds)

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< 18 Turbulent Flow Calculators

Head Loss due to Friction given Power Required in Turbulent Flow

Go Head Loss Due to Friction = Power/(Density of Fluid*[g]*Discharge)

Discharge through Pipe given Head Loss in Turbulent Flow

Go Discharge = Power/(Density of Fluid*[g]*Head Loss Due to Friction)

Power Required to Maintain Turbulent Flow

Go Power = Density of Fluid*[g]*Discharge*Head Loss Due to Friction

Average Height of Irregularities for Turbulent Flow in Pipes

Go Average Height Irregularities = (Kinematic Viscosity*Roughness Reynold Number)/Shear Velocity

Roughness Reynold Number for Turbulent Flow in Pipes

Go Roughness Reynold Number = (Average Height Irregularities*Shear Velocity)/Kinematic Viscosity

Mean Velocity given Centreline Velocity

Go Mean Velocity = Centreline Velocity/(1.43*sqrt(1+Friction Factor))

Centreline Velocity

Go Centreline Velocity = 1.43*Mean Velocity*sqrt(1+Friction Factor)

Shear Stress in Turbulent Flow

Go Shear Stress = (Density of Fluid*Friction Factor*Velocity^2)/2

Shear Velocity given Mean Velocity

Go Shear Velocity 1 = Mean Velocity*sqrt(Friction Factor/8)

Shear Velocity for Turbulent Flow in Pipes

Go Shear Velocity = sqrt(Shear Stress/Density of Fluid)

Boundary Layer Thickness of Laminar Sublayer

Go Boundary Layer Thickness = (11.6*Kinematic Viscosity)/(Shear Velocity)

Shear Velocity given Centreline Velocity

Go Shear Velocity 1 = (Centreline Velocity-Mean Velocity)/3.75

Centreline Velocity given Shear and Mean Velocity

Go Centreline Velocity = 3.75*Shear Velocity+Mean Velocity

Mean Velocity given Shear Velocity

Go Mean Velocity = 3.75*Shear Velocity-Centreline Velocity

Shear Stress Developed for Turbulent Flow in Pipes

Go Shear Stress = Density of Fluid*Shear Velocity^2

Shear Stress due to Viscosity

Go Shear Stress = Viscosity*Change in Velocity

Frictional Factor given Reynolds Number

Go Friction Factor = 0.0032+0.221/(Roughness Reynold Number^0.237)

Blasius Equation

Go Friction Factor = (0.316)/(Roughness Reynold Number^(1/4))

Mean Velocity given Centreline Velocity Formula

Mean Velocity = Centreline Velocity/(1.43*sqrt(1+Friction Factor))
V = U_max/(1.43*sqrt(1+f))

What is the meaning of mean velocity?

The time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval T, counted from some fixed time t0. For example, the mean velocity of u component is. The time average of any other quantity can be defined in this manner.

What is the difference between mean velocity and average velocity?

If "mean velocity" is defined as (v+u)/2, while average velocity is the total distance traveled over time, then they are NOT identical.

How to Calculate Mean Velocity given Centreline Velocity?

Mean Velocity given Centreline Velocity calculator uses Mean Velocity = Centreline Velocity/(1.43*sqrt(1+Friction Factor)) to calculate the Mean Velocity, The Mean Velocity given Centreline Velocity formula is defined as the average speed of an object we divide the distance traveled by the time elapsed. Mean Velocity is denoted by V symbol.

How to calculate Mean Velocity given Centreline Velocity using this online calculator? To use this online calculator for Mean Velocity given Centreline Velocity, enter Centreline Velocity (U_max) & Friction Factor (f) and hit the calculate button. Here is how the Mean Velocity given Centreline Velocity calculation can be explained with given input values -> 1.994143 = 2.88/(1.43*sqrt(1+0.16)).

FAQ

What is Mean Velocity given Centreline Velocity?

The Mean Velocity given Centreline Velocity formula is defined as the average speed of an object we divide the distance traveled by the time elapsed and is represented as V = U_max/(1.43*sqrt(1+f)) or Mean Velocity = Centreline Velocity/(1.43*sqrt(1+Friction Factor)). Centreline velocity is defined as the maximum velocity in the pipe, so it is, most of the time, larger than the average velocity & The Friction Factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.

How to calculate Mean Velocity given Centreline Velocity?

The Mean Velocity given Centreline Velocity formula is defined as the average speed of an object we divide the distance traveled by the time elapsed is calculated using Mean Velocity = Centreline Velocity/(1.43*sqrt(1+Friction Factor)). To calculate Mean Velocity given Centreline Velocity, you need Centreline Velocity (U_max) & Friction Factor (f). With our tool, you need to enter the respective value for Centreline Velocity & Friction Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Mean Velocity?

In this formula, Mean Velocity uses Centreline Velocity & Friction Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mean Velocity = 3.75*Shear Velocity-Centreline Velocity

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