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Viscous Stress Formula

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The Viscous Stress is the internal resistance of a fluid to flow, which arises due to the fluid's viscosity and affects the behavior of fluids in pipes. Check FAQs

V s = μ viscosity \cdot \frac{VG}{DL}

V_s - Viscous Stress?μ_viscosity - Dynamic Viscosity?VG - Velocity Gradient?DL - Fluid Thickness?

Viscous Stress Example

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With units

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Here is how the Viscous Stress equation looks like with Values.

Here is how the Viscous Stress equation looks like with Units.

Here is how the Viscous Stress equation looks like.

3.8202 = 10.2 \cdot \frac{20}{5.34}

3.8202N = 10.2P \cdot \frac{20m/s}{5.34m}

3.8202 = 10.2 \cdot \frac{20}{5.34}

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Viscous Stress Solution

Follow our step by step solution on how to calculate Viscous Stress?

FIRST Step Consider the formula

V s = μ viscosity \cdot \frac{VG}{DL}

Next Step Substitute values of Variables

∴

V s = 10.2P \cdot \frac{20m/s}{5.34m}

Next Step Convert Units

∴

V s = 1.02Pa*s \cdot \frac{20m/s}{5.34m}

Next Step Prepare to Evaluate

∴

V s = 1.02 \cdot \frac{20}{5.34}

Next Step Evaluate

∴

V s = 3.82022471910112N

LAST Step Rounding Answer

∴

V s = 3.8202N

Viscous Stress Formula Elements

Variables

Viscous Stress

The Viscous Stress is the internal resistance of a fluid to flow, which arises due to the fluid's viscosity and affects the behavior of fluids in pipes.

Symbol: V_s

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Viscous Stress

Dynamic Viscosity

The Dynamic Viscosity is a measure of a fluid's resistance to flow, indicating how easily it deforms under shear stress in pipe systems.

Symbol: μ_viscosity

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Velocity Gradient

The Velocity Gradient is the rate of change of fluid velocity with respect to distance in a pipe, indicating how quickly the flow speed varies within the fluid.

Symbol: VG

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity Gradient

Fluid Thickness

The Fluid Thickness is the measurement of the distance between the inner and outer surfaces of a pipe, affecting fluid flow and pressure within the system.

Symbol: DL

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Fluid Thickness

Other formulas in Pipes category

Go Viscous Force Per Unit Area

F v = \frac{F viscous}{A}

Go Viscous Force using Head loss Due to Laminar Flow

μ = h f \cdot γ \cdot π \cdot \frac{{d pipe}^{4}}{128 \cdot Q \cdot s}

Go Length of Pipe given Head loss

s = h f \cdot γ \cdot π \cdot \frac{{d pipe}^{4}}{128 \cdot Q \cdot μ}

Go Heat Loss due to Pipe

Qpipeloss = \frac{F viscous \cdot L pipe \cdot {u Fluid}^{2}}{2 \cdot d \cdot g}

How to Evaluate Viscous Stress?

Viscous Stress evaluator uses Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness to evaluate the Viscous Stress, Viscous Stress formula is defined as a measure of the internal resistance of a fluid to flow, which arises from the fluid's viscosity. It quantifies the force per unit area exerted by a fluid in motion, playing a crucial role in fluid dynamics and pipe flow analysis. Viscous Stress is denoted by V_s symbol.

How to evaluate Viscous Stress using this online evaluator? To use this online evaluator for Viscous Stress, enter Dynamic Viscosity (μ_viscosity), Velocity Gradient (VG) & Fluid Thickness (DL) and hit the calculate button.

FAQs on Viscous Stress

What is the formula to find Viscous Stress?

The formula of Viscous Stress is expressed as Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness. Here is an example- 3.820225 = 1.02*20/5.34.

How to calculate Viscous Stress?

With Dynamic Viscosity (μ_viscosity), Velocity Gradient (VG) & Fluid Thickness (DL) we can find Viscous Stress using the formula - Viscous Stress = Dynamic Viscosity*Velocity Gradient/Fluid Thickness.

Can the Viscous Stress be negative?

Yes, the Viscous Stress, measured in Force can be negative.

Which unit is used to measure Viscous Stress?

Viscous Stress is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Viscous Stress can be measured.

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