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Shear Stress given Velocity 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 \frac{V mean}{D}) - dp|dr \cdot (0.5 \cdot D - R)

𝜏 - Shear Stress?μ - Dynamic Viscosity?V_mean - Mean Velocity?D - Distance between plates?dp|dr - Pressure Gradient?R - Horizontal Distance?

Shear Stress given Velocity Example

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Here is how the Shear Stress given Velocity equation looks like with Values.

Here is how the Shear Stress given Velocity equation looks like with Units.

Here is how the Shear Stress given Velocity equation looks like.

46.9024 = (10.2 \cdot \frac{10.1}{2.9}) - 17 \cdot (0.5 \cdot 2.9 - 4)

46.9024Pa = (10.2P \cdot \frac{10.1m/s}{2.9}) - 17N/m³ \cdot (0.5 \cdot 2.9 - 4m)

46.9024 = (10.2 \cdot \frac{10.1}{2.9}) - 17 \cdot (0.5 \cdot 2.9 - 4)

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Shear Stress given Velocity Solution

Follow our step by step solution on how to calculate Shear Stress given Velocity?

FIRST Step Consider the formula

𝜏 = (μ \cdot \frac{V mean}{D}) - dp|dr \cdot (0.5 \cdot D - R)

Next Step Substitute values of Variables

∴

𝜏 = (10.2P \cdot \frac{10.1m/s}{2.9}) - 17N/m³ \cdot (0.5 \cdot 2.9 - 4m)

Next Step Convert Units

∴

𝜏 = (1.02Pa*s \cdot \frac{10.1m/s}{2.9}) - 17N/m³ \cdot (0.5 \cdot 2.9 - 4m)

Next Step Prepare to Evaluate

∴

𝜏 = (1.02 \cdot \frac{10.1}{2.9}) - 17 \cdot (0.5 \cdot 2.9 - 4)

Next Step Evaluate

∴

𝜏 = 46.9024137931034Pa

LAST Step Rounding Answer

∴

𝜏 = 46.9024Pa

Shear Stress given Velocity 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

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Mean Velocity

Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Distance between plates

Distance between plates is the length of the space between two points.

Symbol: D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Distance between plates

Pressure Gradient

The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

Symbol: dp|dr

Measurement: Pressure GradientUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Pressure Gradient

Horizontal Distance

Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Horizontal Distance

Other formulas in Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow category

Go Flow Velocity of Section

V f = (V mean \cdot \frac{R}{w}) - \frac{0.5 \cdot dp|dr \cdot (D \cdot R - R^{2})}{μ}

Go Mean Velocity of Flow given Flow Velocity

V f = (V mean \cdot \frac{R}{w}) - \frac{0.5 \cdot dp|dr \cdot (w \cdot R - R^{2})}{μ}

Go Pressure Gradient given Flow Velocity

dp|dr = \frac{(V mean \cdot \frac{R}{w}) - V f}{(\frac{0.5 \cdot (w \cdot R - R^{2})}{μ})}

Go Dynamic Viscosity given Flow Velocity

μ = \frac{(0.5 \cdot dp|dr \cdot (D \cdot R - R^{2}))}{(V mean \cdot \frac{R}{w}) - V f}

How to Evaluate Shear Stress given Velocity?

Shear Stress given Velocity evaluator uses Shear Stress = (Dynamic Viscosity*Mean Velocity/Distance between plates)-Pressure Gradient*(0.5*Distance between plates-Horizontal Distance) to evaluate the Shear Stress, The Shear Stress given Velocity is defined as the resistance developed due to motion of fluid on to near the boundary of the pipe. Shear Stress is denoted by 𝜏 symbol.

How to evaluate Shear Stress given Velocity using this online evaluator? To use this online evaluator for Shear Stress given Velocity, enter Dynamic Viscosity (μ), Mean Velocity (V_mean), Distance between plates (D), Pressure Gradient (dp|dr) & Horizontal Distance (R) and hit the calculate button.

FAQs on Shear Stress given Velocity

What is the formula to find Shear Stress given Velocity?

The formula of Shear Stress given Velocity is expressed as Shear Stress = (Dynamic Viscosity*Mean Velocity/Distance between plates)-Pressure Gradient*(0.5*Distance between plates-Horizontal Distance). Here is an example- 46.90241 = (1.02*10.1/2.9)-17*(0.5*2.9-4).

How to calculate Shear Stress given Velocity?

With Dynamic Viscosity (μ), Mean Velocity (V_mean), Distance between plates (D), Pressure Gradient (dp|dr) & Horizontal Distance (R) we can find Shear Stress given Velocity using the formula - Shear Stress = (Dynamic Viscosity*Mean Velocity/Distance between plates)-Pressure Gradient*(0.5*Distance between plates-Horizontal Distance).

Can the Shear Stress given Velocity be negative?

No, the Shear Stress given Velocity, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress given Velocity?

Shear Stress given Velocity 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 given Velocity can be measured.

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Shear Stress given Velocity Formula

Shear Stress given Velocity Example

Shear Stress given Velocity Solution

Shear Stress given Velocity Formula Elements

Other formulas in Laminar Flow between Parallel Flat Plates, one plate moving and other at rest, Couette Flow category

How to Evaluate Shear Stress given Velocity?

FAQs on Shear Stress given Velocity

Variable Name