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Shear Force Per Unit Area or Shear Stress Formula

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Shear Stress of Fluid can be defined as a unit area amount of force acting on the fluid parallel to a very small element of the surface. Check FAQs

σ = μ \cdot du /dy

σ - Shear Stress of Fluid?μ - Dynamic Viscosity?du_/dy - Velocity Gradient?

Shear Force Per Unit Area or Shear Stress Example

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Here is how the Shear Force Per Unit Area or Shear Stress equation looks like with Values.

Here is how the Shear Force Per Unit Area or Shear Stress equation looks like with Units.

Here is how the Shear Force Per Unit Area or Shear Stress equation looks like.

18.48 = 924 \cdot 0.02

18.48Pa = 924Pa*s \cdot 0.02

18.48 = 924 \cdot 0.02

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Shear Force Per Unit Area or Shear Stress Solution

Follow our step by step solution on how to calculate Shear Force Per Unit Area or Shear Stress?

FIRST Step Consider the formula

σ = μ \cdot du /dy

Next Step Substitute values of Variables

∴

σ = 924Pa*s \cdot 0.02

Next Step Prepare to Evaluate

∴

σ = 924 \cdot 0.02

LAST Step Evaluate

∴

σ = 18.48Pa

Shear Force Per Unit Area or Shear Stress Formula Elements

Variables

Shear Stress of Fluid

Shear Stress of Fluid can be defined as a unit area amount of force acting on the fluid parallel to a very small element of the surface.

Symbol: σ

Measurement: StressUnit: Pa

Note: Value can be positive or negative.

Formulas to find Shear Stress of Fluid

Dynamic Viscosity

The Dynamic Viscosity also known simply as viscosity, is a measure of a fluid's resistance to flow.

Symbol: μ

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value can be positive or negative.

Formulas to find Dynamic Viscosity

Velocity Gradient

Velocity Gradient is the difference in velocity between the layers of the fluid.

Symbol: du_/dy

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Velocity Gradient

Other formulas in Newton’s Friction Postulation category

Go Dynamic Viscosity of Fluid given Shear Force per Unit Area or Shear Stress

μ = \frac{σ}{du /dy}

Go Velocity Gradient given Shear Force per unit Area or Shear Stress

du /dy = \frac{σ}{μ}

Go Velocity of Upper Plate given Shear force per unit Area or Shear Stress

V f = \frac{σ \cdot y}{μ}

Go Fluid Filling Width between Plates given Shear Force Per Unit Area or Shear Stress

y = \frac{μ \cdot V f}{σ}

How to Evaluate Shear Force Per Unit Area or Shear Stress?

Shear Force Per Unit Area or Shear Stress evaluator uses Shear Stress of Fluid = Dynamic Viscosity*Velocity Gradient to evaluate the Shear Stress of Fluid, The Shear Force Per Unit Area or Shear Stress is defined when the upper plate is moved with a velocity V with respect to the other plate. Newton postulated that the velocity between the plates was linear and that the force needed to sustain the movement was proportional to the shear stress. Shear Stress of Fluid is denoted by σ symbol.

How to evaluate Shear Force Per Unit Area or Shear Stress using this online evaluator? To use this online evaluator for Shear Force Per Unit Area or Shear Stress, enter Dynamic Viscosity (μ) & Velocity Gradient (du_/dy) and hit the calculate button.

FAQs on Shear Force Per Unit Area or Shear Stress

What is the formula to find Shear Force Per Unit Area or Shear Stress?

The formula of Shear Force Per Unit Area or Shear Stress is expressed as Shear Stress of Fluid = Dynamic Viscosity*Velocity Gradient. Here is an example- 18.48 = 924*0.02.

How to calculate Shear Force Per Unit Area or Shear Stress?

With Dynamic Viscosity (μ) & Velocity Gradient (du_/dy) we can find Shear Force Per Unit Area or Shear Stress using the formula - Shear Stress of Fluid = Dynamic Viscosity*Velocity Gradient.

Can the Shear Force Per Unit Area or Shear Stress be negative?

Yes, the Shear Force Per Unit Area or Shear Stress, measured in Stress can be negative.

Which unit is used to measure Shear Force Per Unit Area or Shear Stress?

Shear Force Per Unit Area or Shear Stress 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 Force Per Unit Area or Shear Stress can be measured.

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Shear Force Per Unit Area or Shear Stress Formula

Shear Force Per Unit Area or Shear Stress Example

Shear Force Per Unit Area or Shear Stress Solution

Shear Force Per Unit Area or Shear Stress Formula Elements

Other formulas in Newton’s Friction Postulation category

How to Evaluate Shear Force Per Unit Area or Shear Stress?

FAQs on Shear Force Per Unit Area or Shear Stress

Variable Name