Mean Velocity given Shear Velocity Calculator

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✖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%
✖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%

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

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Mean Velocity given Shear Velocity

Formula

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

Example

`"19.62m/s"=3.75*"6m/s"-"2.88m/s"`

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Mean Velocity given Shear Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Velocity: 6 Meter per Second --> 6 Meter per Second No Conversion Required
Centreline Velocity: 2.88 Meter per Second --> 2.88 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 3.75*V_'-U_max --> 3.75*6-2.88

Evaluating ... ...

V = 19.62

STEP 3: Convert Result to Output's Unit

19.62 Meter per Second --> No Conversion Required

FINAL ANSWER

19.62 Meter per Second <-- Mean Velocity

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Forces and Dynamics » Dynamics of Fluid Flow » Turbulent Flow » Mean Velocity given Shear Velocity

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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 Shear Velocity Formula

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

What is meant by flow velocity?

Flow velocity is the vector field that is used to describe fluid motion in a mathematical manner. The entire length of the flow velocity is referred to as the flow speed. Flow velocity in fluids is the vector field that provides the velocity of fluids at a certain time and position.

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.

How to Calculate Mean Velocity given Shear Velocity?

Mean Velocity given Shear Velocity calculator uses Mean Velocity = 3.75*Shear Velocity-Centreline Velocity to calculate the Mean Velocity, The Mean Velocity given Shear Velocity formula is defined as the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from some fixed time. Mean Velocity is denoted by V symbol.

How to calculate Mean Velocity given Shear Velocity using this online calculator? To use this online calculator for Mean Velocity given Shear Velocity, enter Shear Velocity (V_') & Centreline Velocity (U_max) and hit the calculate button. Here is how the Mean Velocity given Shear Velocity calculation can be explained with given input values -> 19.62 = 3.75*6-2.88.

FAQ

What is Mean Velocity given Shear Velocity?

The Mean Velocity given Shear Velocity formula is defined as the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from some fixed time and is represented as V = 3.75*V_'-U_max or Mean Velocity = 3.75*Shear Velocity-Centreline Velocity. Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity & Centreline velocity is defined as the maximum velocity in the pipe, so it is, most of the time, larger than the average velocity.

How to calculate Mean Velocity given Shear Velocity?

The Mean Velocity given Shear Velocity formula is defined as the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from some fixed time is calculated using Mean Velocity = 3.75*Shear Velocity-Centreline Velocity. To calculate Mean Velocity given Shear Velocity, you need Shear Velocity (V_') & Centreline Velocity (U_max). With our tool, you need to enter the respective value for Shear Velocity & Centreline 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 Mean Velocity?

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

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

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