Shear Velocity given Centreline Velocity Calculator

↳

⤿

Forces and Dynamics

Draft Tube

Orifices and Mouthpieces

Properties of Surfaces and Solids

Viscous Flow

⤿

Dynamics of Fluid Flow

⤿

Turbulent Flow

Boundary Layer Flow

Kinematics of Flow

✖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 [V]			+10% -10%

✖Shear velocity 1 also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.ⓘ Shear Velocity given Centreline Velocity [V_shear]

⎘ Copy

👎

Formula

✖

Shear Velocity given Centreline Velocity

Formula

`"V"_{"shear"} = ("U"_{"max"}-"V")/3.75`

Example

`"0.234667m/s"=("2.88m/s"-"2m/s")/3.75`

Calculator

LaTeX

Reset

👍

Download Fluid Mechanics Formula PDF

Shear Velocity given Centreline Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Velocity 1 = (Centreline Velocity-Mean Velocity)/3.75
V_shear = (U_max-V)/3.75
This formula uses 3 Variables

Variables Used

Shear Velocity 1 - (Measured in Meter per Second) - Shear velocity 1 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.
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

Centreline Velocity: 2.88 Meter per Second --> 2.88 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

V_shear = (U_max-V)/3.75 --> (2.88-2)/3.75

Evaluating ... ...

V_shear = 0.234666666666667

STEP 3: Convert Result to Output's Unit

0.234666666666667 Meter per Second --> No Conversion Required

FINAL ANSWER

0.234666666666667 ≈ 0.234667 Meter per Second <-- Shear Velocity 1

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Shareef Alex

velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada

Shareef Alex has created this Calculator and 100+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 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))

Shear Velocity given Centreline Velocity Formula

Shear Velocity 1 = (Centreline Velocity-Mean Velocity)/3.75
V_shear = (U_max-V)/3.75

Is friction velocity constant?

If a block is moving on a rough surface, and friction is the only force acting on it, it is not moving with a constant velocity. It is slowing down or already stopped. In order for a block to be moving at a constant velocity, the forces must be balanced.

What is cenreline 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.

How to Calculate Shear Velocity given Centreline Velocity?

Shear Velocity given Centreline Velocity calculator uses Shear Velocity 1 = (Centreline Velocity-Mean Velocity)/3.75 to calculate the Shear Velocity 1, The Shear Velocity given Centreline Velocity formula is defined as shear-related motion in moving fluids. Shear Velocity 1 is denoted by V_shear symbol.

How to calculate Shear Velocity given Centreline Velocity using this online calculator? To use this online calculator for Shear Velocity given Centreline Velocity, enter Centreline Velocity (U_max) & Mean Velocity (V) and hit the calculate button. Here is how the Shear Velocity given Centreline Velocity calculation can be explained with given input values -> 0.234667 = (2.88-2)/3.75.

FAQ

What is Shear Velocity given Centreline Velocity?

The Shear Velocity given Centreline Velocity formula is defined as shear-related motion in moving fluids and is represented as V_shear = (U_max-V)/3.75 or Shear Velocity 1 = (Centreline Velocity-Mean Velocity)/3.75. 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 is defined as the average velocity of a fluid at a point and over an arbitrary time T.

How to calculate Shear Velocity given Centreline Velocity?

The Shear Velocity given Centreline Velocity formula is defined as shear-related motion in moving fluids is calculated using Shear Velocity 1 = (Centreline Velocity-Mean Velocity)/3.75. To calculate Shear Velocity given Centreline Velocity, you need Centreline Velocity (U_max) & Mean Velocity (V). With our tool, you need to enter the respective value for Centreline 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 Shear Velocity 1?

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

Shear Velocity 1 = Mean Velocity*sqrt(Friction Factor/8)

Home

FREE PDFs

🔍 Search