Shear Force Per Unit Area or Shear Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress of Fluid = Dynamic Viscosity*Velocity Gradient
σ = μ*du/dy
This formula uses 3 Variables
Variables Used
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.
Velocity Gradient - velocity gradient is the difference in velocity between the layers of the fluid is known as the velocity gradient.
STEP 1: Convert Input(s) to Base Unit
Dynamic Viscosity: 924 Pascal Second --> 924 Pascal Second No Conversion Required
Velocity Gradient: 0.02 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ = μ*du/dy --> 924*0.02
Evaluating ... ...
σ = 18.48
STEP 3: Convert Result to Output's Unit
18.48 Pascal --> No Conversion Required
FINAL ANSWER
18.48 Pascal <-- Shear Stress of Fluid
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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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

Shear Force Per Unit Area or Shear Stress Formula

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

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 Shear Force Per Unit Area or Shear Stress?

Shear Force Per Unit Area or Shear Stress calculator uses Shear Stress of Fluid = Dynamic Viscosity*Velocity Gradient to calculate 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, then Newton postulated that the velocity between the plates was linear, and that the force needed to sustain the movement was proportional to shear force. Shear Stress of Fluid is denoted by σ symbol.

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

FAQ

What is Shear Force Per Unit Area or Shear Stress?
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, then Newton postulated that the velocity between the plates was linear, and that the force needed to sustain the movement was proportional to shear force and is represented as σ = μ*du/dy or Shear Stress of Fluid = Dynamic Viscosity*Velocity Gradient. The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied & velocity gradient is the difference in velocity between the layers of the fluid is known as the velocity gradient.
How to calculate Shear Force Per Unit Area or Shear Stress?
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, then Newton postulated that the velocity between the plates was linear, and that the force needed to sustain the movement was proportional to shear force is calculated using Shear Stress of Fluid = Dynamic Viscosity*Velocity Gradient. To calculate Shear Force Per Unit Area or Shear Stress, you need Dynamic Viscosity (μ) & Velocity Gradient (du/dy). With our tool, you need to enter the respective value for Dynamic Viscosity & Velocity Gradient 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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