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velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada
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National Institute Of Technology (NIT), Hamirpur
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Shear stress due to viscosity Solution

STEP 0: Pre-Calculation Summary
Formula Used
shear_stress = (Dynamic viscosity*Change in Velocity)
𝜏 = (η*dv)
This formula uses 2 Variables
Variables Used
Dynamic viscosity - Dynamic viscosity is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density. (Measured in Poise)
Change in Velocity - Change in Velocity is the difference between the velocities of the adjacent fluid layers. (Measured in Meter per Second)
STEP 1: Convert Input(s) to Base Unit
Dynamic viscosity: 10 Poise --> 1 Pascal Second (Check conversion here)
Change in Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
𝜏 = (η*dv) --> (1*10)
Evaluating ... ...
𝜏 = 10
STEP 3: Convert Result to Output's Unit
10 Pascal --> No Conversion Required
FINAL ANSWER
10 Pascal <-- Shear Stress
(Calculation completed in 00.016 seconds)

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Shear stress due to viscosity Formula

shear_stress = (Dynamic viscosity*Change in Velocity)
𝜏 = (η*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 (η) & 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 -> 10 = (1*10).

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 = (η*dv) or shear_stress = (Dynamic viscosity*Change in Velocity). Dynamic viscosity is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density & 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 (η) & 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 10 other way(s) to calculate the same, which is/are as follows -
  • shear_stress = (Shear Velocity^2)*Density of Fluid
  • average_height_irregularities = (Roughness reynold number*Kinematic viscosity)/Shear Velocity
  • power = (Density of Fluid*[g]*Discharge*Head loss due to friction)/1000
  • roughness_reynold_number = (Shear Velocity*Average height irregularities)/Kinematic viscosity
  • shear_velocity = sqrt(Shear Stress/Density of Fluid)
  • head_loss_due_to_friction = (Power*1000)/(Density of Fluid*[g]*Discharge)
  • discharge = (Power*1000)/(Density of Fluid*[g]*Head loss due to friction)
  • boundary_layer_thickness = (11.6*Kinematic viscosity)/(Shear Velocity)
  • shear_stress = (Friction factor*Density of Fluid*Velocity^2)/2
  • shear_stress = (Dynamic viscosity*Change in Velocity)
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