Mean Velocity given Centreline Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity = Centreline Velocity/(1.43*sqrt(1+Friction Factor))
V = Umax/(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 = Umax/(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 00.020 seconds)

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Mean Velocity given Centreline Velocity Formula

​LaTeX ​Go
Mean Velocity = Centreline Velocity/(1.43*sqrt(1+Friction Factor))
V = Umax/(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 (Umax) & 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 = Umax/(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 (Umax) & 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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