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 00.004 seconds)

Credits

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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

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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