Centreline Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Centreline Velocity = 1.43*Mean Velocity*sqrt(1+Friction Factor)
Umax = 1.43*V*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
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.
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.
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
Mean Velocity: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Friction Factor: 0.16 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Umax = 1.43*V*sqrt(1+f) --> 1.43*2*sqrt(1+0.16)
Evaluating ... ...
Umax = 3.08031426968094
STEP 3: Convert Result to Output's Unit
3.08031426968094 Meter per Second --> No Conversion Required
FINAL ANSWER
3.08031426968094 3.080314 Meter per Second <-- Centreline 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))

Centreline Velocity Formula

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

What is Centreline velocity ?

Center-line velocity is usually the maximum velocity in the pipe, so it is, most of the time, larger than the average velocity.

Does turbulence increase with velocity?

As can be seen in this equation, Re increases as velocity increases and decreases as viscosity increases. Therefore, high velocities and low blood viscosity are more likely to cause turbulence.

How to Calculate Centreline Velocity?

Centreline Velocity calculator uses Centreline Velocity = 1.43*Mean Velocity*sqrt(1+Friction Factor) to calculate the Centreline Velocity, The Centreline velocity formula is defined as the maximum velocity in the pipe. Centreline Velocity is denoted by Umax symbol.

How to calculate Centreline Velocity using this online calculator? To use this online calculator for Centreline Velocity, enter Mean Velocity (V) & Friction Factor (f) and hit the calculate button. Here is how the Centreline Velocity calculation can be explained with given input values -> 2.888458 = 1.43*2*sqrt(1+0.16).

FAQ

What is Centreline Velocity?
The Centreline velocity formula is defined as the maximum velocity in the pipe and is represented as Umax = 1.43*V*sqrt(1+f) or Centreline Velocity = 1.43*Mean Velocity*sqrt(1+Friction Factor). Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & 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 Centreline Velocity?
The Centreline velocity formula is defined as the maximum velocity in the pipe is calculated using Centreline Velocity = 1.43*Mean Velocity*sqrt(1+Friction Factor). To calculate Centreline Velocity, you need Mean Velocity (V) & Friction Factor (f). With our tool, you need to enter the respective value for Mean 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 Centreline Velocity?
In this formula, Centreline Velocity uses Mean Velocity & Friction Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Centreline Velocity = 3.75*Shear Velocity+Mean Velocity
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