Velocity Gradient 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%
✖Dynamic Viscosity is the resistance to movement of one layer of a fluid over another.ⓘ Dynamic Viscosity [μ]			+10% -10%

✖Velocity Gradient is difference in velocity between adjacent layers of the fluid.ⓘ Velocity Gradient given Shear Stress [dvdy]

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Velocity Gradient given Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 800 Newton per Square Meter --> 800 Pascal (Check conversion here)
Dynamic Viscosity: 80 Newton Second per Square Meter --> 80 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dvdy = τ/μ --> 800/80

Evaluating ... ...

dvdy = 10

STEP 3: Convert Result to Output's Unit

10 Hertz -->10 Cycle per Second (Check conversion here)

FINAL ANSWER

10 Cycle per Second <-- Velocity Gradient

(Calculation completed in 00.004 seconds)

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Created by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

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National Institute of Technology Karnataka (NITK), Surathkal

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< Properties of Fluid Calculators

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Velocity Gradient given Shear Stress Formula

LaTeX Go

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

What is Viscosity?

Viscosity is a measure of the resistance of a fluid to deform under shear stress. It is commonly perceived as resistance to pouring. It is measured by a viscometer, of which there are various designs commonly based on the time taken to flow through an orifice or a capillary tube when at a standard temperature.

How to Calculate Velocity Gradient given Shear Stress?

Velocity Gradient given Shear Stress calculator uses Velocity Gradient = Shear Stress/Dynamic Viscosity to calculate the Velocity Gradient, The Velocity Gradient given Shear Stress formula is defined as the difference in Velocity between adjacent layers of the fluid. It is the ratio between change in velocity and change in distance between the layers. Velocity Gradient is denoted by dvdy symbol.

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

FAQ

What is Velocity Gradient given Shear Stress?

The Velocity Gradient given Shear Stress formula is defined as the difference in Velocity between adjacent layers of the fluid. It is the ratio between change in velocity and change in distance between the layers and is represented as dvdy = τ/μ or Velocity Gradient = Shear Stress/Dynamic Viscosity. Shear stress is defined as a force per unit area, acting parallel to the fluid layers & Dynamic Viscosity is the resistance to movement of one layer of a fluid over another.

How to calculate Velocity Gradient given Shear Stress?

The Velocity Gradient given Shear Stress formula is defined as the difference in Velocity between adjacent layers of the fluid. It is the ratio between change in velocity and change in distance between the layers is calculated using Velocity Gradient = Shear Stress/Dynamic Viscosity. To calculate Velocity Gradient given Shear Stress, you need Shear Stress (τ) & Dynamic Viscosity (μ). With our tool, you need to enter the respective value for Shear Stress & Dynamic Viscosity 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 Velocity Gradient?

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

Velocity Gradient = Change in Velocity/Change in Distance

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