Shear Velocity for Turbulent Flow in Pipes Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Velocity = sqrt(Shear Stress/Density of Fluid)
V' = sqrt(๐œ/ฯfluid)
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 - (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.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
STEP 1: Convert Input(s) to Base Unit
Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V' = sqrt(๐œ/ฯfluid) --> sqrt(93.1/1.225)
Evaluating ... ...
V' = 8.71779788708135
STEP 3: Convert Result to Output's Unit
8.71779788708135 Meter per Second --> No Conversion Required
FINAL ANSWER
8.71779788708135 โ‰ˆ 8.717798 Meter per Second <-- Shear Velocity
(Calculation completed in 00.020 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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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 for Turbulent Flow in Pipes Formula

Shear Velocity = sqrt(Shear Stress/Density of Fluid)
V' = sqrt(๐œ/ฯfluid)

What is turbulent flow?

The turbulence or turbulent flow is fluid motion characterized by chaotic changes in pressure and flow velocity. It is in contrast to a laminar flow, which occurs when a fluid flows in parallel layers, with no disruption between those layers.

What is the difference between laminar flow and turbulent flow?

Laminar flow or streamline flow in pipes (or tubes) occurs when a fluid flows in parallel layers, with no disruption between the layers. Turbulent flow is a flow regime characterized by chaotic property changes. This includes a rapid variation of pressure and flows velocity in space and time.

How to Calculate Shear Velocity for Turbulent Flow in Pipes?

Shear Velocity for Turbulent Flow in Pipes calculator uses Shear Velocity = sqrt(Shear Stress/Density of Fluid) to calculate the Shear Velocity, Shear Velocity for Turbulent Flow in Pipes also known as the friction velocity (u*), is a key parameter used to characterize the shear stress intensity near the pipe wall. It represents the velocity at which fluid layers adjacent to the pipe wall move relative to each other. Shear Velocity is denoted by V' symbol.

How to calculate Shear Velocity for Turbulent Flow in Pipes using this online calculator? To use this online calculator for Shear Velocity for Turbulent Flow in Pipes, enter Shear Stress (๐œ) & Density of Fluid (ฯfluid) and hit the calculate button. Here is how the Shear Velocity for Turbulent Flow in Pipes calculation can be explained with given input values -> 8.717798 = sqrt(93.1/1.225).

FAQ

What is Shear Velocity for Turbulent Flow in Pipes?
Shear Velocity for Turbulent Flow in Pipes also known as the friction velocity (u*), is a key parameter used to characterize the shear stress intensity near the pipe wall. It represents the velocity at which fluid layers adjacent to the pipe wall move relative to each other and is represented as V' = sqrt(๐œ/ฯfluid) or Shear Velocity = sqrt(Shear Stress/Density of Fluid). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
How to calculate Shear Velocity for Turbulent Flow in Pipes?
Shear Velocity for Turbulent Flow in Pipes also known as the friction velocity (u*), is a key parameter used to characterize the shear stress intensity near the pipe wall. It represents the velocity at which fluid layers adjacent to the pipe wall move relative to each other is calculated using Shear Velocity = sqrt(Shear Stress/Density of Fluid). To calculate Shear Velocity for Turbulent Flow in Pipes, you need Shear Stress (๐œ) & Density of Fluid (ฯfluid). With our tool, you need to enter the respective value for Shear Stress & Density of Fluid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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