Shear stress in turbulent flow Calculator

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Fluid Mechanics	Turbulent flow ↺

✖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%
✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_Fluid]			+10% -10%
✖Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object).ⓘ Velocity [v]			+10% -10%

✖The 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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Shareef Alex

velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada

Shareef Alex has created this Calculator and 100+ more calculators!

Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 1600+ more calculators!

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*ρ_Fluid*v^2)/2
This formula uses 3 Variables

Variables Used

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 - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid. (Measured in Kilogram per Meter³)
Velocity - Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object). (Measured in Meter per Second)

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*ρ_Fluid*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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< 10+ Turbulent flow Calculators

Head loss due to friction for power required and discharge in turbulent flow

head_loss_due_to_friction = (Power*1000)/(Density of Fluid*[g]*Discharge) Go

Discharge through pipe for power required and head loss in turbulent flow

discharge = (Power*1000)/(Density of Fluid*[g]*Head loss due to friction) Go

Power required to maintain the turbulent flow

power = (Density of Fluid*[g]*Discharge*Head loss due to friction)/1000 Go

Average height of irregularities for turbulent flow in pipes

average_height_irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity Go

Roughness Reynold number for turbulent flow in pipes

roughness_reynold_number = (Shear Velocity*Average height irregularities)/Kinematic viscosity Go

Shear stress in turbulent flow

shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2 Go

Shear velocity for turbulent flow in pipes

shear_velocity = sqrt(Shear Stress/Density of Fluid) Go

Boundary layer thickness of laminar sublayer

boundary_layer_thickness = (11.6*Kinematic viscosity)/(Shear Velocity) Go

Shear stress due to viscosity

shear_stress = (Dynamic viscosity*Change in Velocity) Go

Shear stress developed for turbulent flow in pipes

shear_stress = (Shear Velocity^2)*Density of Fluid Go

Shear stress in turbulent flow Formula

shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2
𝜏 = (f*ρ_Fluid*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 (ρ_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*ρ_Fluid*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, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object).

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 (ρ_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 10 other way(s) to calculate the same, which is/are as follows -

shear_stress = (Shear Velocity^2)*Density of Fluid
average_height_irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity
power = (Density of Fluid*[g]*Discharge*Head loss due to friction)/1000
roughness_reynold_number = (Shear Velocity*Average height irregularities)/Kinematic viscosity
shear_velocity = sqrt(Shear Stress/Density of Fluid)
head_loss_due_to_friction = (Power*1000)/(Density of Fluid*[g]*Discharge)
discharge = (Power*1000)/(Density of Fluid*[g]*Head loss due to friction)
boundary_layer_thickness = (11.6*Kinematic viscosity)/(Shear Velocity)
shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2
shear_stress = (Dynamic viscosity*Change in Velocity)

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