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.
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 also known simply as viscosity, is a measure of a fluid's resistance to flow.
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 00.020 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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NSS College of Engineering (NSSCE), Palakkad
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​ LaTeX ​ Go Velocity of Fluid = (Shear Stress of Fluid*Width between the Plates)/Dynamic Viscosity
Dynamic Viscosity of Fluid given Shear Force per Unit Area or Shear Stress
​ LaTeX ​ Go Dynamic Viscosity = Shear Stress of Fluid/(Velocity Gradient)
Velocity Gradient given Shear Force per unit Area or Shear Stress
​ LaTeX ​ Go Velocity Gradient = Shear Stress of Fluid/Dynamic Viscosity
Shear Force Per Unit Area or Shear Stress
​ LaTeX ​ Go Shear Stress of Fluid = Dynamic Viscosity*Velocity Gradient

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

​LaTeX ​Go
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 also known simply as viscosity, is a measure of a fluid's resistance to flow.
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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