Shear stress due to viscosity Calculator

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✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Change in Velocity is the difference between the velocities of the adjacent fluid layers.ⓘ Change in Velocity [dv]			+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 due to viscosity [𝜏]

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Formula

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Shear stress due to viscosity

Formula

`"𝜏" = ("μ"_{"viscosity"}*"dv")`

Example

`"20.4Pa"=("10.2P"*"20m/s")`

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Shear stress due to viscosity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = (Dynamic Viscosity*Change in Velocity)
𝜏 = (μ_viscosity*dv)
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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Change in Velocity - (Measured in Meter per Second) - Change in Velocity is the difference between the velocities of the adjacent fluid layers.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Change in Velocity: 20 Meter per Second --> 20 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (μ_viscosity*dv) --> (1.02*20)

Evaluating ... ...

𝜏 = 20.4

STEP 3: Convert Result to Output's Unit

20.4 Pascal --> No Conversion Required

FINAL ANSWER

20.4 Pascal <-- Shear Stress

(Calculation completed in 00.000 seconds)

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Created by Shareef Alex

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

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

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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

Roughness Reynold number for turbulent flow in pipes

Go Roughness reynold number = (Shear Velocity*Average Height Irregularities)/Kinematic viscosity

Mean Velocity given Centreline Velocity

Go Mean velocity = Centreline velocity/(1.43*sqrt(Friction factor+1))

Centreline velocity

Go Centreline velocity = (Mean velocity*1.43*sqrt(Friction factor+1))

Shear stress in turbulent flow

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

Shear Velocity given Mean Velocity

Go Shear Velocity = 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)

Centreline Velocity given Shear and Mean Velocity

Go Centreline velocity = (3.75*Shear Velocity)+Mean velocity

Shear Velocity given Centreline Velocity

Go Shear Velocity = (Centreline velocity-Mean velocity)/3.75

Mean Velocity given Shear Velocity

Go Mean velocity = Centreline velocity-(3.75*Shear Velocity)

Shear stress due to viscosity

Go Shear Stress = (Dynamic Viscosity*Change in Velocity)

Shear stress developed for turbulent flow in pipes

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

Frictional Factor given Reynolds number

Go Friction factor = (0.0032+(0.221/(Reynolds Number^0.237)))

Blasius equation

Go Friction factor = (0.316)/(Reynolds Number^(1/4))

Shear stress due to viscosity Formula

Shear Stress = (Dynamic Viscosity*Change in Velocity)
𝜏 = (μ_viscosity*dv)

How are shear stress and flow velocity related?

The Newtonian fluids behave according to the law that shear stress is linearly proportional to velocity gradient or rate of shear strain. Thus for these fluids, the plot of shear stress against velocity gradient is a straight line through the origin. The slope of the line determines the viscosity.

What is the shear stress in fluids?

Fluid shear stress refers to the stress coplanar component along with a cross-section of material. This occurs due to the component's force vector that is analogous to the cross-section.

How to Calculate Shear stress due to viscosity?

Shear stress due to viscosity calculator uses Shear Stress = (Dynamic Viscosity*Change in Velocity) to calculate the Shear Stress, The Shear stress due to viscosity formula is defined as the product of viscosity and change in velocity. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear stress due to viscosity using this online calculator? To use this online calculator for Shear stress due to viscosity, enter Dynamic Viscosity (μ_viscosity) & Change in Velocity (dv) and hit the calculate button. Here is how the Shear stress due to viscosity calculation can be explained with given input values -> 20.4 = (1.02*20).

FAQ

What is Shear stress due to viscosity?

The Shear stress due to viscosity formula is defined as the product of viscosity and change in velocity and is represented as 𝜏 = (μ_viscosity*dv) or Shear Stress = (Dynamic Viscosity*Change in Velocity). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied & Change in Velocity is the difference between the velocities of the adjacent fluid layers.

How to calculate Shear stress due to viscosity?

The Shear stress due to viscosity formula is defined as the product of viscosity and change in velocity is calculated using Shear Stress = (Dynamic Viscosity*Change in Velocity). To calculate Shear stress due to viscosity, you need Dynamic Viscosity (μ_viscosity) & Change in Velocity (dv). With our tool, you need to enter the respective value for Dynamic Viscosity & Change in 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 Dynamic Viscosity & Change in 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 = (Friction factor*Density of Fluid*Velocity^2)/2

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