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Mean velocity in terms of centreline velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
mean_velocity = Centreline velocity/(1.43*sqrt(Friction factor+1))
V = umax/(1.43*sqrt(f+1))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
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. (Measured in Meter per Second)
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: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Friction factor: 1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = umax/(1.43*sqrt(f+1)) --> 5/(1.43*sqrt(1+1))
Evaluating ... ...
V = 2.4724013328201
STEP 3: Convert Result to Output's Unit
2.4724013328201 Meter per Second --> No Conversion Required
FINAL ANSWER
2.4724013328201 Meter per Second <-- Mean velocity
(Calculation completed in 00.000 seconds)

10+ Turbulent flow Calculators

Head loss due to friction for power required and discharge in turbulent flow
head_loss_due_to_friction = (Power*1000)/(Density of Fluid*[g]*Discharge) Go
Discharge through pipe for power required and head loss in turbulent flow
discharge = (Power*1000)/(Density of Fluid*[g]*Head loss due to friction) Go
Power required to maintain the turbulent flow
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Average height of irregularities for turbulent flow in pipes
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Roughness Reynold number for turbulent flow in pipes
roughness_reynold_number = (Shear Velocity*Average height irregularities)/Kinematic viscosity Go
Shear stress in turbulent flow
shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2 Go
Shear velocity for turbulent flow in pipes
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Boundary layer thickness of laminar sublayer
boundary_layer_thickness = (11.6*Kinematic viscosity)/(Shear Velocity) Go
Shear stress due to viscosity
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Shear stress developed for turbulent flow in pipes
shear_stress = (Shear Velocity^2)*Density of Fluid Go

Mean velocity in terms of centreline velocity Formula

mean_velocity = Centreline velocity/(1.43*sqrt(Friction factor+1))
V = umax/(1.43*sqrt(f+1))

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 in terms of centreline velocity?

Mean velocity in terms of centreline velocity calculator uses mean_velocity = Centreline velocity/(1.43*sqrt(Friction factor+1)) to calculate the Mean velocity, The Mean velocity in terms of 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 in terms of centreline velocity using this online calculator? To use this online calculator for Mean velocity in terms of centreline velocity, enter Centreline velocity (umax) & Friction factor (f) and hit the calculate button. Here is how the Mean velocity in terms of centreline velocity calculation can be explained with given input values -> 2.472401 = 5/(1.43*sqrt(1+1)).

FAQ

What is Mean velocity in terms of centreline velocity?
The Mean velocity in terms of 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(f+1)) or mean_velocity = Centreline velocity/(1.43*sqrt(Friction factor+1)). 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 in terms of centreline velocity?
The Mean velocity in terms of 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(Friction factor+1)). To calculate Mean velocity in terms of 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 10 other way(s) to calculate the same, which is/are as follows -
  • shear_stress = (Shear Velocity^2)*Density of Fluid
  • average_height_irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity
  • power = (Density of Fluid*[g]*Discharge*Head loss due to friction)/1000
  • roughness_reynold_number = (Shear Velocity*Average height irregularities)/Kinematic viscosity
  • shear_velocity = sqrt(Shear Stress/Density of Fluid)
  • head_loss_due_to_friction = (Power*1000)/(Density of Fluid*[g]*Discharge)
  • discharge = (Power*1000)/(Density of Fluid*[g]*Head loss due to friction)
  • boundary_layer_thickness = (11.6*Kinematic viscosity)/(Shear Velocity)
  • shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2
  • shear_stress = (Dynamic viscosity*Change in Velocity)
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