Shear Stress in Turbulent Flow Calculator

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✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_fluid]			+10% -10%
✖The Friction Factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.ⓘ Friction Factor [f]			+10% -10%
✖Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity [v]			+10% -10%

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in Turbulent Flow [𝜏]

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Shear Stress in Turbulent Flow

Formula

`"𝜏" = ("ρ"_{"fluid"}*"f"*"v"^2)/2`

Example

`"352.8Pa"=("1.225kg/m³"*"0.16"*("60m/s")^2)/2`

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Shear Stress in Turbulent Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = (Density of Fluid*Friction Factor*Velocity^2)/2
𝜏 = (ρ_fluid*f*v^2)/2
This formula uses 4 Variables

Variables Used

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.
Friction Factor - The Friction Factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

STEP 1: Convert Input(s) to Base Unit

Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Friction Factor: 0.16 --> No Conversion Required
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (ρ_fluid*f*v^2)/2 --> (1.225*0.16*60^2)/2

Evaluating ... ...

𝜏 = 352.8

STEP 3: Convert Result to Output's Unit

352.8 Pascal --> No Conversion Required

FINAL ANSWER

352.8 Pascal <-- Shear Stress

(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 Stress in Turbulent Flow Formula

Shear Stress = (Density of Fluid*Friction Factor*Velocity^2)/2
𝜏 = (ρ_fluid*f*v^2)/2

What happens to the wall shear stress in turbulent flow?

In turbulent flow, inertia forces are significant as compared to viscous forces. Hence in the turbulent pipe flow shear stress varies linearly with the radius.

How is shear stress developed in laminar and turbulent fluid flow?

The shear stress in laminar flow is a direct result of momentum transfer among the randomly moving molecules (a microscopic phenomenon). The shear stress in turbulent flow is largely a result of momentum transfer among the randomly moving, finite-sized fluid particles (a macroscopic phenomenon).

How to Calculate Shear Stress in Turbulent Flow?

Shear Stress in Turbulent Flow calculator uses Shear Stress = (Density of Fluid*Friction Factor*Velocity^2)/2 to calculate the Shear Stress, The Shear stress in turbulent flow formula is defined as the maximum at the center and decreases linearly towards the wall in it. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear Stress in Turbulent Flow using this online calculator? To use this online calculator for Shear Stress in Turbulent Flow, enter Density of Fluid (ρ_fluid), Friction Factor (f) & Velocity (v) and hit the calculate button. Here is how the Shear Stress in Turbulent Flow calculation can be explained with given input values -> 44.1 = (1.225*0.16*60^2)/2.

FAQ

What is Shear Stress in Turbulent Flow?

The Shear stress in turbulent flow formula is defined as the maximum at the center and decreases linearly towards the wall in it and is represented as 𝜏 = (ρ_fluid*f*v^2)/2 or Shear Stress = (Density of Fluid*Friction Factor*Velocity^2)/2. Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, The Friction Factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number & Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

How to calculate Shear Stress in Turbulent Flow?

The Shear stress in turbulent flow formula is defined as the maximum at the center and decreases linearly towards the wall in it is calculated using Shear Stress = (Density of Fluid*Friction Factor*Velocity^2)/2. To calculate Shear Stress in Turbulent Flow, you need Density of Fluid (ρ_fluid), Friction Factor (f) & Velocity (v). With our tool, you need to enter the respective value for Density of Fluid, Friction Factor & 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 Stress?

In this formula, Shear Stress uses Density of Fluid, Friction Factor & Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shear Stress = Density of Fluid*Shear Velocity^2
Shear Stress = Viscosity*Change in Velocity

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