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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Formula

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Velocity Gradient given Shear Stress

Formula

`"dvdy" = "τ"/"μ"`

Example

`"10cycle/s"="800N/m²"/"80N*s/m²"`

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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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< 25 Properties of Fluid Calculators

Capillary Rise or Depression when Tube is inserted in two Liquids

Go Capillary Rise (or Depression) = (2*Surface Tension*cos(Contact Angle))/(Radius of Tube*Specific Weight of Water in KN per cubic meter*(Specific Gravity of Liquid 1-Specific Gravity of Liquid 2)*1000)

Capillary Rise or Depression when two Vertical Parallel Plates are Partially Immersed in Liquid

Go Capillary Rise (or Depression) = (2*Surface Tension*(cos(Contact Angle)))/(Specific Weight of Water in KN per cubic meter*Specific Gravity of Fluid*Distance between Vertical Plates)

Capillary Rise or Depression of Fluid

Go Capillary Rise (or Depression) = (2*Surface Tension*cos(Contact Angle))/(Specific Gravity of Fluid*Radius of Tube*Specific Weight of Water in KN per cubic meter*1000)

Capillary Rise when Contact is between Water and Glass

Go Capillary Rise (or Depression) = (2*Surface Tension)/(Radius of Tube*Specific Weight of Water in KN per cubic meter*1000)

Absolute Pressure using Equation of State given Specific Weight

Go Absolute Pressure by Specific Weight = Gas Constant*Specific Weight of Liquid in Piezometer*Absolute Temperature of Gas

Gas Constant using Equation of State

Go Gas Constant = Absolute Pressure by Gas Density/(Density of Gas*Absolute Temperature of Gas)

Absolute Temperature of Gas

Go Absolute Temperature of Gas = Absolute Pressure by Gas Density/(Gas Constant*Density of Gas)

Absolute Pressure using Gas Density

Go Absolute Pressure by Gas Density = Absolute Temperature of Gas*Density of Gas*Gas Constant

Bulk Modulus of Elasticity

Go Bulk Modulus of Elasticity = (Change in Pressure/(Change in Volume/Fluid Volume))

Velocity of Fluid given Shear Stress

Go Fluid Velocity = (Distance between Fluid Layers*Shear Stress)/Dynamic Viscosity

Compressibility of Fluid

Go Compressibility of Fluid = ((Change in Volume/Fluid Volume)/Change in Pressure)

Specific Gravity of Fluid

Go Specific Gravity of Fluid = Specific Weight of Liquid in Piezometer/Specific Weight of Standard Fluid

Mass Density given Specific Weight

Go Mass Density of Fluid = Specific Weight of Liquid in Piezometer/Acceleration due to Gravity

Volume of Fluid given Specific Weight

Go Volume = Weight of Liquid/Specific Weight of Liquid in Piezometer

Pressure Intensity inside Soap Bubble

Go Internal Pressure Intensity = (4*Surface Tension)/Radius of Tube

Pressure Intensity inside Droplet

Go Internal Pressure Intensity = (2*Surface Tension)/Radius of Tube

Dynamic Viscosity using Kinematic Viscosity

Go Dynamic Viscosity = Mass Density of Fluid*Kinematic Viscosity

Mass Density given Viscosity

Go Mass Density of Fluid = Dynamic Viscosity/Kinematic Viscosity

Pressure Intensity inside Liquid Jet

Go Internal Pressure Intensity = Surface Tension/Radius of Tube

Velocity Gradient

Go Velocity Gradient = Change in Velocity/Change in Distance

Shear Stress between any two thin sheets of Fluid

Go Shear Stress = Velocity Gradient*Dynamic Viscosity

Velocity Gradient given Shear Stress

Go Velocity Gradient = Shear Stress/Dynamic Viscosity

Dynamic Viscosity given Shear Stress

Go Dynamic Viscosity = Shear Stress/Velocity Gradient

Compressibility of Fluid given Bulk Modulus of Elasticity

Go Compressibility of Fluid = 1/Bulk Modulus of Elasticity

Specific Volume of Fluid

Go Specific Volume = 1/Mass Density of Fluid

Velocity Gradient given Shear Stress Formula

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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