Velocity Gradient given Shear Force per unit area or Shear Stress Calculator

✖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.ⓘ Shear Stress of Fluid [σ]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%

✖velocity gradient is the difference in velocity between the layers of the fluid is known as the velocity gradient.ⓘ Velocity Gradient given Shear Force per unit area or Shear Stress [du_/dy]

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Formula

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Velocity Gradient given Shear Force per unit area or Shear Stress

Formula

`"du"_{"/dy"} = "σ"/"μ"`

Example

`"0.02"="18.48Pa"/"924Pa*s"`

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Velocity Gradient given Shear Force per unit area or Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Gradient = Shear Stress of Fluid/Dynamic Viscosity
du_/dy = σ/μ
This formula uses 3 Variables

Variables Used

Velocity Gradient - velocity gradient is the difference in velocity between the layers of the fluid is known as the velocity gradient.
Shear Stress of Fluid - (Measured in Pascal) - 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.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Stress of Fluid: 18.48 Pascal --> 18.48 Pascal No Conversion Required
Dynamic Viscosity: 924 Pascal Second --> 924 Pascal Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

du_/dy = σ/μ --> 18.48/924

Evaluating ... ...

du_/dy = 0.02

STEP 3: Convert Result to Output's Unit

0.02 --> No Conversion Required

FINAL ANSWER

0.02 <-- Velocity Gradient

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 9 Newton’s Friction Postulation Calculators

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

Go Width between the Plates = (Dynamic Viscosity*Velocity of Fluid)/Shear Stress of Fluid

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

Go Velocity of Fluid = (Shear Stress of Fluid*Width between the Plates)/Dynamic Viscosity

Dynamic Viscosity of Fluid given Fluid Filling Width between Plates

Go Dynamic Viscosity = (Shear Stress of Fluid*Width between the Plates)/Velocity of Fluid

Relationship between Dynamic Viscosity and Kinematic Viscosity

Go Kinematic Viscosity at 20° C = Dynamic Viscosity/Mass Density of Fluid

Mass Density of Fluid for given Kinematic Viscosity

Go Mass Density of Fluid = Dynamic Viscosity/Kinematic Viscosity at 20° C

Dynamic Viscosity given Kinematic Viscosity

Go Dynamic Viscosity = Kinematic Viscosity at 20° C*Mass Density of Fluid

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

Go Dynamic Viscosity = Shear Stress of Fluid/(Velocity Gradient)

Velocity Gradient given Shear Force per unit area or Shear Stress

Go Velocity Gradient = Shear Stress of Fluid/Dynamic Viscosity

Shear Force Per Unit Area or Shear Stress

Go Shear Stress of Fluid = Dynamic Viscosity*Velocity Gradient

Velocity Gradient given Shear Force per unit area or Shear Stress Formula

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

What is Shear Force?

Shear forces acting tangentially to a surface of a solid body cause deformation. When the fluid is in motion, shear stresses are developed due to the particles in the fluid moving relative to one another. For a fluid flowing in a pipe, fluid velocity will be zero at the pipe wall.

How to Calculate Velocity Gradient given Shear Force per unit area or Shear Stress?

Velocity Gradient given Shear Force per unit area or Shear Stress calculator uses Velocity Gradient = Shear Stress of Fluid/Dynamic Viscosity to calculate the Velocity Gradient, The Velocity Gradient given Shear Force per unit area or Shear Stress formula is defined as the difference in velocity between adjacent layers of the fluid. Velocity Gradient is denoted by du_/dy symbol.

How to calculate Velocity Gradient given Shear Force per unit area or Shear Stress using this online calculator? To use this online calculator for Velocity Gradient given Shear Force per unit area or Shear Stress, enter Shear Stress of Fluid (σ) & Dynamic Viscosity (μ) and hit the calculate button. Here is how the Velocity Gradient given Shear Force per unit area or Shear Stress calculation can be explained with given input values -> 0.02 = 18.48/924.

FAQ

What is Velocity Gradient given Shear Force per unit area or Shear Stress?

The Velocity Gradient given Shear Force per unit area or Shear Stress formula is defined as the difference in velocity between adjacent layers of the fluid and is represented as du_/dy = σ/μ or Velocity Gradient = Shear Stress of Fluid/Dynamic Viscosity. 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 & The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

How to calculate Velocity Gradient given Shear Force per unit area or Shear Stress?

The Velocity Gradient given Shear Force per unit area or Shear Stress formula is defined as the difference in velocity between adjacent layers of the fluid is calculated using Velocity Gradient = Shear Stress of Fluid/Dynamic Viscosity. To calculate Velocity Gradient given Shear Force per unit area or Shear Stress, you need Shear Stress of Fluid (σ) & Dynamic Viscosity (μ). With our tool, you need to enter the respective value for Shear Stress of Fluid & Dynamic Viscosity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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