Shear stress developed for turbulent flow in pipes Calculator

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✖Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.ⓘ Shear Velocity [V_*]			+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%

✖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 developed for turbulent flow in pipes [𝜏]

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Shear stress developed for turbulent flow in pipes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = (Shear Velocity^2)*Density of Fluid
𝜏 = (V_*^2)*ρ_Fluid
This formula uses 3 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.
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.
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 Velocity: 6 Meter per Second --> 6 Meter per Second 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

𝜏 = (V_*^2)*ρ_Fluid --> (6^2)*1.225

Evaluating ... ...

𝜏 = 44.1

STEP 3: Convert Result to Output's Unit

44.1 Pascal --> No Conversion Required

FINAL ANSWER

44.1 Pascal <-- Shear Stress

(Calculation completed in 00.016 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Amrita School of Engineering (ASE), Vallikavu

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< 10+ Turbulent Flow Calculators

Head Loss due to Friction given Power Required in Turbulent Flow

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

Discharge through Pipe given Head Loss in Turbulent Flow

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

Power Required to Maintain Turbulent Flow

Power = Density of Fluid*[g]*Discharge*Head loss due to friction 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 developed for turbulent flow in pipes Formula

Shear Stress = (Shear Velocity^2)*Density of Fluid
𝜏 = (V_*^2)*ρ_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 stress developed for turbulent flow in pipes?

Shear stress developed for turbulent flow in pipes calculator uses Shear Stress = (Shear Velocity^2)*Density of Fluid to calculate the Shear Stress, The Shear stress developed for turbulent flow in pipes formula while considering the square of shear velocity by the density of the fluid. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear stress developed for turbulent flow in pipes using this online calculator? To use this online calculator for Shear stress developed for turbulent flow in pipes, enter Shear Velocity (V_*) & Density of Fluid (ρ_Fluid) and hit the calculate button. Here is how the Shear stress developed for turbulent flow in pipes calculation can be explained with given input values -> 44.1 = (6^2)*1.225.

FAQ

What is Shear stress developed for turbulent flow in pipes?

The Shear stress developed for turbulent flow in pipes formula while considering the square of shear velocity by the density of the fluid and is represented as 𝜏 = (V_*^2)*ρ_Fluid or Shear Stress = (Shear Velocity^2)*Density of Fluid. Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity & Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.

How to calculate Shear stress developed for turbulent flow in pipes?

The Shear stress developed for turbulent flow in pipes formula while considering the square of shear velocity by the density of the fluid is calculated using Shear Stress = (Shear Velocity^2)*Density of Fluid. To calculate Shear stress developed for turbulent flow in pipes, you need Shear Velocity (V_*) & Density of Fluid (ρ_Fluid). With our tool, you need to enter the respective value for Shear Velocity & Density of Fluid 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 Shear Velocity & Density of Fluid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shear Stress = (Friction factor*Density of Fluid*Velocity^2)/2
Shear Stress = (Dynamic Viscosity*Change in Velocity)

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