Shear Stress in Turbulent Flow Calculator

✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_f]			+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 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = (Density of Fluid*Friction Factor*Velocity^2)/2
𝜏 = (ρ_f*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: 21.3 Meter per Second --> 21.3 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (ρ_f*f*v^2)/2 --> (1.225*0.16*21.3^2)/2

Evaluating ... ...

𝜏 = 44.46162

STEP 3: Convert Result to Output's Unit

44.46162 Pascal --> No Conversion Required

FINAL ANSWER

44.46162 Pascal <-- Shear Stress

(Calculation completed in 00.020 seconds)

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< Turbulent Flow Calculators

Average Height of Irregularities for Turbulent Flow in Pipes

LaTeX Go Average Height Irregularities = (Kinematic Viscosity*Roughness Reynold Number)/Shear Velocity

Roughness Reynold Number for Turbulent Flow in Pipes

LaTeX Go Roughness Reynold Number = (Average Height Irregularities*Shear Velocity)/Kinematic Viscosity

Shear Velocity for Turbulent Flow in Pipes

LaTeX Go Shear Velocity = sqrt(Shear Stress/Density of Fluid)

Shear Stress Developed for Turbulent Flow in Pipes

LaTeX Go Shear Stress = Density of Fluid*Shear Velocity^2

Shear Stress in Turbulent Flow Formula

LaTeX Go

Shear Stress = (Density of Fluid*Friction Factor*Velocity^2)/2
𝜏 = (ρ_f*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_f), 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 -> 94.178 = (1.225*0.16*21.3^2)/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_f*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_f), 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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