Shear stress in turbulent flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress = (Friction factor*Density of Fluid*Velocity^2)/2
𝜏 = (f*ρFluid*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.
Friction factor - The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.
Density of Fluid - (Measured in Kilogram per Meter³) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
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
Friction factor: 1 --> No Conversion Required
Density of Fluid: 10 Kilogram per Meter³ --> 10 Kilogram per Meter³ 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 = (f*ρFluid*v^2)/2 --> (1*10*60^2)/2
Evaluating ... ...
𝜏 = 18000
STEP 3: Convert Result to Output's Unit
18000 Pascal --> No Conversion Required
FINAL ANSWER
18000 Pascal <-- Shear Stress
(Calculation completed in 00.000 seconds)

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Shear stress in turbulent flow Formula

Shear Stress = (Friction factor*Density of Fluid*Velocity^2)/2
𝜏 = (f*ρFluid*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 = (Friction factor*Density of Fluid*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 Friction factor (f), Density of Fluid Fluid) & Velocity (v) and hit the calculate button. Here is how the Shear stress in turbulent flow calculation can be explained with given input values -> 18000 = (1*10*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 = (f*ρFluid*v^2)/2 or Shear Stress = (Friction factor*Density of Fluid*Velocity^2)/2. The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid & 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 = (Friction factor*Density of Fluid*Velocity^2)/2. To calculate Shear stress in turbulent flow, you need Friction factor (f), Density of Fluid Fluid) & Velocity (v). With our tool, you need to enter the respective value for Friction factor, Density of Fluid & 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 Friction factor, Density of Fluid & Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Shear Stress = (Shear Velocity^2)*Density of Fluid
  • Shear Stress = (Dynamic Viscosity*Change in Velocity)
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