## Shear stress due to viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear Stress = (Dynamic Viscosity*Change in Velocity)
𝜏 = (μviscosity*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.
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.
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
Dynamic 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 = (μviscosity*dv) --> (1.02*20)
Evaluating ... ...
𝜏 = 20.4
STEP 3: Convert Result to Output's Unit
20.4 Pascal --> No Conversion Required
20.4 Pascal <-- Shear Stress
(Calculation completed in 00.000 seconds)
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## < 18 Turbulent Flow Calculators

Head Loss due to Friction given Power Required in Turbulent Flow
Head loss due to friction = Power/(Density of Fluid*[g]*Discharge)
Discharge through Pipe given Head Loss in Turbulent Flow
Discharge = Power/(Density of Fluid*[g]*Head loss due to friction)
Power Required to Maintain Turbulent Flow
Power = Density of Fluid*[g]*Discharge*Head loss due to friction
Average height of irregularities for turbulent flow in pipes
Average Height Irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity
Roughness Reynold number for turbulent flow in pipes
Roughness reynold number = (Shear Velocity*Average Height Irregularities)/Kinematic viscosity
Mean Velocity given Centreline Velocity
Mean velocity = Centreline velocity/(1.43*sqrt(Friction factor+1))
Centreline velocity
Centreline velocity = (Mean velocity*1.43*sqrt(Friction factor+1))
Shear stress in turbulent flow
Shear Stress = (Friction factor*Density of Fluid*Velocity^2)/2
Shear Velocity given Mean Velocity
Shear Velocity = Mean velocity*(sqrt(Friction factor/8))
Shear velocity for turbulent flow in pipes
Shear Velocity = sqrt(Shear Stress/Density of Fluid)
Boundary layer thickness of laminar sublayer
Boundary layer thickness = (11.6*Kinematic viscosity)/(Shear Velocity)
Centreline Velocity given Shear and Mean Velocity
Centreline velocity = (3.75*Shear Velocity)+Mean velocity
Shear Velocity given Centreline Velocity
Shear Velocity = (Centreline velocity-Mean velocity)/3.75
Mean Velocity given Shear Velocity
Mean velocity = Centreline velocity-(3.75*Shear Velocity)
Shear stress due to viscosity
Shear Stress = (Dynamic Viscosity*Change in Velocity)
Shear stress developed for turbulent flow in pipes
Shear Stress = (Shear Velocity^2)*Density of Fluid
Frictional Factor given Reynolds number
Friction factor = (0.0032+(0.221/(Reynolds Number^0.237)))
Blasius equation
Friction factor = (0.316)/(Reynolds Number^(1/4))

## Shear stress due to viscosity Formula

Shear Stress = (Dynamic Viscosity*Change in Velocity)
𝜏 = (μviscosity*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 = (Dynamic Viscosity*Change in Velocity) to calculate the Shear Stress, The Shear stress due to viscosity formula is defined as the product of viscosity and change in velocity. 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 Dynamic Viscosity viscosity) & 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?
The Shear stress due to viscosity formula is defined as the product of viscosity and change in velocity and is represented as 𝜏 = (μviscosity*dv) or Shear Stress = (Dynamic Viscosity*Change in Velocity). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied & Change in Velocity is the difference between the velocities of the adjacent fluid layers.
How to calculate Shear stress due to viscosity?
The Shear stress due to viscosity formula is defined as the product of viscosity and change in velocity is calculated using Shear Stress = (Dynamic Viscosity*Change in Velocity). To calculate Shear stress due to viscosity, you need Dynamic Viscosity viscosity) & Change in Velocity (dv). With our tool, you need to enter the respective value for Dynamic 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 Dynamic Viscosity & Change in Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -
• Shear Stress = (Shear Velocity^2)*Density of Fluid
• Shear Stress = (Friction factor*Density of Fluid*Velocity^2)/2
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