Shear Stress due to Viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress = Viscosity*Change in Velocity
𝜏 = μ*dv
This formula uses 3 Variables
Variables Used
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Viscosity - (Measured in Pascal Second) - Viscosity is a physical property of fluids that describes their resistance to flow or internal friction.
Change in Velocity - (Measured in Meter per Second) - Change in Velocity is the difference between the velocities of the adjacent fluid layers.
STEP 1: Convert Input(s) to Base Unit
Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Change in Velocity: 20 Meter per Second --> 20 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜏 = μ*dv --> 1.02*20
Evaluating ... ...
𝜏 = 20.4
STEP 3: Convert Result to Output's Unit
20.4 Pascal --> No Conversion Required
FINAL ANSWER
20.4 Pascal <-- Shear Stress
(Calculation completed in 00.004 seconds)

Credits

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18 Turbulent Flow Calculators

Head Loss due to Friction given Power Required in Turbulent Flow
Go Head Loss Due to Friction = Power/(Density of Fluid*[g]*Discharge)
Discharge through Pipe given Head Loss in Turbulent Flow
Go Discharge = Power/(Density of Fluid*[g]*Head Loss Due to Friction)
Power Required to Maintain Turbulent Flow
Go Power = Density of Fluid*[g]*Discharge*Head Loss Due to Friction
Average Height of Irregularities for Turbulent Flow in Pipes
Go Average Height Irregularities = (Kinematic Viscosity*Roughness Reynold Number)/Shear Velocity
Roughness Reynold Number for Turbulent Flow in Pipes
Go Roughness Reynold Number = (Average Height Irregularities*Shear Velocity)/Kinematic Viscosity
Mean Velocity given Centreline Velocity
Go Mean Velocity = Centreline Velocity/(1.43*sqrt(1+Friction Factor))
Centreline Velocity
Go Centreline Velocity = 1.43*Mean Velocity*sqrt(1+Friction Factor)
Shear Stress in Turbulent Flow
Go Shear Stress = (Density of Fluid*Friction Factor*Velocity^2)/2
Shear Velocity given Mean Velocity
Go Shear Velocity 1 = Mean Velocity*sqrt(Friction Factor/8)
Shear Velocity for Turbulent Flow in Pipes
Go Shear Velocity = sqrt(Shear Stress/Density of Fluid)
Boundary Layer Thickness of Laminar Sublayer
Go Boundary Layer Thickness = (11.6*Kinematic Viscosity)/(Shear Velocity)
Shear Velocity given Centreline Velocity
Go Shear Velocity 1 = (Centreline Velocity-Mean Velocity)/3.75
Centreline Velocity given Shear and Mean Velocity
Go Centreline Velocity = 3.75*Shear Velocity+Mean Velocity
Mean Velocity given Shear Velocity
Go Mean Velocity = 3.75*Shear Velocity-Centreline Velocity
Shear Stress Developed for Turbulent Flow in Pipes
Go Shear Stress = Density of Fluid*Shear Velocity^2
Shear Stress due to Viscosity
Go Shear Stress = Viscosity*Change in Velocity
Frictional Factor given Reynolds Number
Go Friction Factor = 0.0032+0.221/(Roughness Reynold Number^0.237)
Blasius Equation
Go Friction Factor = (0.316)/(Roughness Reynold Number^(1/4))

Shear Stress due to Viscosity Formula

Shear Stress = Viscosity*Change in Velocity
𝜏 = μ*dv

How are shear stress and flow velocity related?

The Newtonian fluids behave according to the law that shear stress is linearly proportional to velocity gradient or rate of shear strain. Thus for these fluids, the plot of shear stress against velocity gradient is a straight line through the origin. The slope of the line determines the viscosity.

What is the shear stress in fluids?

Fluid shear stress refers to the stress coplanar component along with a cross-section of material. This occurs due to the component's force vector that is analogous to the cross-section.

How to Calculate Shear Stress due to Viscosity?

Shear Stress due to Viscosity calculator uses Shear Stress = Viscosity*Change in Velocity to calculate the Shear Stress, Shear Stress due to Viscosity, also known as viscous shear stress, is the force per unit area that is exerted by a fluid due to its viscosity when it is subjected to a shearing or flow motion. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear Stress due to Viscosity using this online calculator? To use this online calculator for Shear Stress due to Viscosity, enter Viscosity (μ) & Change in Velocity (dv) and hit the calculate button. Here is how the Shear Stress due to Viscosity calculation can be explained with given input values -> 20.4 = 1.02*20.

FAQ

What is Shear Stress due to Viscosity?
Shear Stress due to Viscosity, also known as viscous shear stress, is the force per unit area that is exerted by a fluid due to its viscosity when it is subjected to a shearing or flow motion and is represented as 𝜏 = μ*dv or Shear Stress = Viscosity*Change in Velocity. Viscosity is a physical property of fluids that describes their resistance to flow or internal friction & Change in Velocity is the difference between the velocities of the adjacent fluid layers.
How to calculate Shear Stress due to Viscosity?
Shear Stress due to Viscosity, also known as viscous shear stress, is the force per unit area that is exerted by a fluid due to its viscosity when it is subjected to a shearing or flow motion is calculated using Shear Stress = Viscosity*Change in Velocity. To calculate Shear Stress due to Viscosity, you need Viscosity (μ) & Change in Velocity (dv). With our tool, you need to enter the respective value for Viscosity & Change in Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Shear Stress?
In this formula, Shear Stress uses Viscosity & Change in Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Shear Stress = Density of Fluid*Shear Velocity^2
  • Shear Stress = (Density of Fluid*Friction Factor*Velocity^2)/2
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