Dynamic Viscosity given Shear Stress Calculator

✖Shear stress is defined as a force per unit area, acting parallel to the fluid layers.ⓘ Shear Stress [τ]			+10% -10%
✖Velocity Gradient is difference in velocity between adjacent layers of the fluid.ⓘ Velocity Gradient [dvdy]			+10% -10%

✖Dynamic Viscosity is the resistance to movement of one layer of a fluid over another.ⓘ Dynamic Viscosity given Shear Stress [μ]

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Formula

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Dynamic Viscosity given Shear Stress

Formula

μ = \frac{τ}{dvdy}

Example

80 N*s/m² = \frac{800 N/m²}{10 cycle/s}

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Dynamic Viscosity given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = Shear Stress/Velocity Gradient
μ = τ/dvdy
This formula uses 3 Variables

Variables Used

Dynamic Viscosity - (Measured in Pascal Second) - Dynamic Viscosity is the resistance to movement of one layer of a fluid over another.
Shear Stress - (Measured in Pascal) - Shear stress is defined as a force per unit area, acting parallel to the fluid layers.
Velocity Gradient - (Measured in Hertz) - Velocity Gradient is difference in velocity between adjacent layers of the fluid.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 800 Newton per Square Meter --> 800 Pascal (Check conversion here)
Velocity Gradient: 10 Cycle per Second --> 10 Hertz (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = τ/dvdy --> 800/10

Evaluating ... ...

μ = 80

STEP 3: Convert Result to Output's Unit

80 Pascal Second -->80 Newton Second per Square Meter (Check conversion here)

FINAL ANSWER

80 Newton Second per Square Meter <-- Dynamic Viscosity

(Calculation completed in 00.006 seconds)

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Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has created this Calculator and 100+ more calculators!

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National Institute of Technology Karnataka (NITK), Surathkal

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Dynamic Viscosity given Shear Stress Formula

Dynamic Viscosity = Shear Stress/Velocity Gradient
μ = τ/dvdy

What are the types of Viscosity in Fluid Mechanics?

Viscosity is a fundamental material property when studying fluid flow for any application. The two most common types of viscosity are dynamic and kinematic.
Dynamic Viscosity. Dynamic viscosity measures the ratio of the shear stress to the shear rate for a fluid.
Kinematic Viscosity. Kinematic viscosity measures the ratio of the viscous force to the inertial force on the fluid.

How to Calculate Dynamic Viscosity given Shear Stress?

Dynamic Viscosity given Shear Stress calculator uses Dynamic Viscosity = Shear Stress/Velocity Gradient to calculate the Dynamic Viscosity, The Dynamic Viscosity given Shear Stress formula is defined as a measure of the viscosity of a fluid. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity given Shear Stress using this online calculator? To use this online calculator for Dynamic Viscosity given Shear Stress, enter Shear Stress (τ) & Velocity Gradient (dvdy) and hit the calculate button. Here is how the Dynamic Viscosity given Shear Stress calculation can be explained with given input values -> 80 = 800/10.

FAQ

What is Dynamic Viscosity given Shear Stress?

The Dynamic Viscosity given Shear Stress formula is defined as a measure of the viscosity of a fluid and is represented as μ = τ/dvdy or Dynamic Viscosity = Shear Stress/Velocity Gradient. Shear stress is defined as a force per unit area, acting parallel to the fluid layers & Velocity Gradient is difference in velocity between adjacent layers of the fluid.

How to calculate Dynamic Viscosity given Shear Stress?

The Dynamic Viscosity given Shear Stress formula is defined as a measure of the viscosity of a fluid is calculated using Dynamic Viscosity = Shear Stress/Velocity Gradient. To calculate Dynamic Viscosity given Shear Stress, you need Shear Stress (τ) & Velocity Gradient (dvdy). With our tool, you need to enter the respective value for Shear Stress & Velocity Gradient 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 Dynamic Viscosity?

In this formula, Dynamic Viscosity uses Shear Stress & Velocity Gradient. We can use 1 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = Mass Density of Fluid*Kinematic Viscosity

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