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Shear Stress due to Viscosity Formula

GoShear Stress Developed for Turbulent Flow in Pipes Formula

GoShear Stress in Turbulent Flow Formula

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Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Check FAQs

𝜏 = μ \cdot d v

𝜏 - Shear Stress?μ - Viscosity?d_v - Change in Velocity?

Shear Stress due to Viscosity Example

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With units

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Here is how the Shear Stress due to Viscosity equation looks like with Values.

Here is how the Shear Stress due to Viscosity equation looks like with Units.

Here is how the Shear Stress due to Viscosity equation looks like.

44 = 22 \cdot 20

44Pa = 22P \cdot 20m/s

44 = 22 \cdot 20

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Shear Stress due to Viscosity Solution

Follow our step by step solution on how to calculate Shear Stress due to Viscosity?

FIRST Step Consider the formula

𝜏 = μ \cdot d v

Next Step Substitute values of Variables

∴

𝜏 = 22P \cdot 20m/s

Next Step Convert Units

∴

𝜏 = 2.2Pa*s \cdot 20m/s

Next Step Prepare to Evaluate

∴

𝜏 = 2.2 \cdot 20

LAST Step Evaluate

∴

𝜏 = 44Pa

Shear Stress due to Viscosity Formula Elements

Variables

Shear Stress

Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Viscosity

Viscosity is a physical property of fluids that describes their resistance to flow or internal friction.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Viscosity

Change in Velocity

Change in Velocity is the difference between the velocities of the adjacent fluid layers.

Symbol: d_v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Change in Velocity

Other Formulas to find Shear Stress

Go Shear Stress Developed for Turbulent Flow in Pipes

𝜏 = ρ f \cdot {V'}^{2}

Go Shear Stress in Turbulent Flow

𝜏 = \frac{ρ f \cdot f \cdot v^{2}}{2}

Other formulas in Turbulent Flow category

Go Shear Velocity for Turbulent Flow in Pipes

V' = \sqrt{\frac{𝜏}{ρ f}}

Go Roughness Reynold Number for Turbulent Flow in Pipes

Re = \frac{k \cdot V'}{v'}

Go Average Height of Irregularities for Turbulent Flow in Pipes

k = \frac{v' \cdot Re}{V'}

Go Power Required to Maintain Turbulent Flow

P = ρ f \cdot [g] \cdot Q \cdot h f

How to Evaluate Shear Stress due to Viscosity?

Shear Stress due to Viscosity evaluator uses Shear Stress = Viscosity*Change in Velocity to evaluate the Shear Stress, Shear Stress due to Viscosity, also known as viscous shear stress, is the force per unit area that is exerted by a fluid due to its viscosity when it is subjected to a shearing or flow motion. Shear Stress is denoted by 𝜏 symbol.

How to evaluate Shear Stress due to Viscosity using this online evaluator? To use this online evaluator for Shear Stress due to Viscosity, enter Viscosity (μ) & Change in Velocity (d_v) and hit the calculate button.

FAQs on Shear Stress due to Viscosity

What is the formula to find Shear Stress due to Viscosity?

The formula of Shear Stress due to Viscosity is expressed as Shear Stress = Viscosity*Change in Velocity. Here is an example- 93 = 2.2*20.

How to calculate Shear Stress due to Viscosity?

With Viscosity (μ) & Change in Velocity (d_v) we can find Shear Stress due to Viscosity using the formula - Shear Stress = Viscosity*Change in Velocity.

What are the other ways to Calculate Shear Stress?

Here are the different ways to Calculate Shear Stress-

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

Can the Shear Stress due to Viscosity be negative?

No, the Shear Stress due to Viscosity, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress due to Viscosity?

Shear Stress due to Viscosity is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Shear Stress due to Viscosity can be measured.

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