Centreline Velocity given Shear and Mean Velocity Calculator

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Forces and Dynamics

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Kinematics of Flow

✖Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.ⓘ Shear Velocity [V_']			+10% -10%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V]			+10% -10%

✖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 given Shear and Mean Velocity [U_max]

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Centreline Velocity given Shear and Mean Velocity

Formula

`"U"_{"max"} = 3.75*"V"_{"'"}+"V"`

Example

`"24.5m/s"=3.75*"6m/s"+"2m/s"`

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Centreline Velocity given Shear and Mean Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Centreline Velocity = 3.75*Shear Velocity+Mean Velocity
U_max = 3.75*V_'+V
This formula uses 3 Variables

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.
Shear Velocity - (Measured in Meter per Second) - Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of 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.

STEP 1: Convert Input(s) to Base Unit

Shear Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required
Mean Velocity: 2 Meter per Second --> 2 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_max = 3.75*V_'+V --> 3.75*6+2

Evaluating ... ...

U_max = 24.5

STEP 3: Convert Result to Output's Unit

24.5 Meter per Second --> No Conversion Required

FINAL ANSWER

24.5 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 given Shear and Mean Velocity Formula

Centreline Velocity = 3.75*Shear Velocity+Mean Velocity
U_max = 3.75*V_'+V

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. Average velocity is easy to calculate: so if you know the mass flow rate, the density, and the pipe cross-sectional area, you can calculate the average velocity.

What is a turbulent velocity profile?

The velocity profile in turbulent flow is flatter in the central part of the pipe (i.e., in the turbulent core) than in laminar flow. The flow velocity drops rapidly, extremely close to the walls. This is due to the diffusivity of the turbulent flow.

How to Calculate Centreline Velocity given Shear and Mean Velocity?

Centreline Velocity given Shear and Mean Velocity calculator uses Centreline Velocity = 3.75*Shear Velocity+Mean Velocity to calculate the Centreline Velocity, The Centreline Velocity given Shear and Mean 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 calculate Centreline Velocity given Shear and Mean Velocity using this online calculator? To use this online calculator for Centreline Velocity given Shear and Mean Velocity, enter Shear Velocity (V_') & Mean Velocity (V) and hit the calculate button. Here is how the Centreline Velocity given Shear and Mean Velocity calculation can be explained with given input values -> 24.5 = 3.75*6+2.

FAQ

What is Centreline Velocity given Shear and Mean Velocity?

The Centreline Velocity given Shear and Mean Velocity formula is defined as the maximum velocity in the pipe, so it is, most of the time, larger than the average velocity and is represented as U_max = 3.75*V_'+V or Centreline Velocity = 3.75*Shear Velocity+Mean Velocity. Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity & Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

How to calculate Centreline Velocity given Shear and Mean Velocity?

The Centreline Velocity given Shear and Mean Velocity formula is defined as the maximum velocity in the pipe, so it is, most of the time, larger than the average velocity is calculated using Centreline Velocity = 3.75*Shear Velocity+Mean Velocity. To calculate Centreline Velocity given Shear and Mean Velocity, you need Shear Velocity (V_') & Mean Velocity (V). With our tool, you need to enter the respective value for Shear Velocity & Mean Velocity 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 Shear Velocity & Mean Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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