Shear Velocity given Mean Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Velocity 1 = Mean Velocity*sqrt(Friction Factor/8)
Vshear = V*sqrt(f/8)
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
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.
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
Vshear = V*sqrt(f/8) --> 2*sqrt(0.16/8)
Evaluating ... ...
Vshear = 0.282842712474619
STEP 3: Convert Result to Output's Unit
0.282842712474619 Meter per Second --> No Conversion Required
FINAL ANSWER
0.282842712474619 0.282843 Meter per Second <-- Shear Velocity 1
(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))

Shear Velocity given Mean Velocity Formula

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

How does shear stress relate to velocity?

The Newtonian fluids behave according to the law that shear stress is linearly proportional to velocity gradient or rate of shear strain. Thus for these fluids, the plot of shear stress against velocity gradient is a straight line through the origin. The slope of the line determines the viscosity.

Is friction velocity constant?

Whenever there is relative motion between 2 surfaces, friction will occur, whether velocity is constant or changing. This is called kinetic friction. Friction occurs due to irregularities in the surfaces, which hit and interact with each other when 2 surfaces are rubbing past each other.

How to Calculate Shear Velocity given Mean Velocity?

Shear Velocity given Mean Velocity calculator uses Shear Velocity 1 = Mean Velocity*sqrt(Friction Factor/8) to calculate the Shear Velocity 1, The Shear Velocity given Mean Velocity formula is useful as a method in fluid mechanics to compare true velocities, such as the velocity of a flow in a stream, to a velocity that relates shear between layers of flow. Shear Velocity 1 is denoted by Vshear symbol.

How to calculate Shear Velocity given Mean Velocity using this online calculator? To use this online calculator for Shear Velocity given Mean Velocity, enter Mean Velocity (V) & Friction Factor (f) and hit the calculate button. Here is how the Shear Velocity given Mean Velocity calculation can be explained with given input values -> 0.282843 = 2*sqrt(0.16/8).

FAQ

What is Shear Velocity given Mean Velocity?
The Shear Velocity given Mean Velocity formula is useful as a method in fluid mechanics to compare true velocities, such as the velocity of a flow in a stream, to a velocity that relates shear between layers of flow and is represented as Vshear = V*sqrt(f/8) or Shear Velocity 1 = Mean Velocity*sqrt(Friction Factor/8). 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 Shear Velocity given Mean Velocity?
The Shear Velocity given Mean Velocity formula is useful as a method in fluid mechanics to compare true velocities, such as the velocity of a flow in a stream, to a velocity that relates shear between layers of flow is calculated using Shear Velocity 1 = Mean Velocity*sqrt(Friction Factor/8). To calculate Shear Velocity given Mean 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 Shear Velocity 1?
In this formula, Shear Velocity 1 uses Mean Velocity & Friction Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Shear Velocity 1 = (Centreline Velocity-Mean Velocity)/3.75
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