Velocity of Fluid given Shear Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fluid Velocity = (Distance between Fluid Layers*Shear Stress)/Dynamic Viscosity
V = (Y*τ)/μ
This formula uses 4 Variables
Variables Used
Fluid Velocity - (Measured in Meter per Second) - Fluid Velocity is the velocity of adjacent fluid layers.
Distance between Fluid Layers - (Measured in Meter) - Distance between Fluid Layers is the distance between the adjacent fluid layers.
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
Distance between Fluid Layers: 81 Meter --> 81 Meter No Conversion Required
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
V = (Y*τ)/μ --> (81*800)/80
Evaluating ... ...
V = 810
STEP 3: Convert Result to Output's Unit
810 Meter per Second --> No Conversion Required
FINAL ANSWER
810 Meter per Second <-- Fluid Velocity
(Calculation completed in 00.004 seconds)

Credits

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 of Fluid given Shear Stress Formula

Fluid Velocity = (Distance between Fluid Layers*Shear Stress)/Dynamic Viscosity
V = (Y*τ)/μ

What is Dynamic Viscosity?

The dynamic viscosity η (η = "eta") is a measure of the viscosity of a fluid (fluid: liquid, flowing substance). The higher the viscosity, the thicker (less liquid) the fluid; the lower the viscosity, the thinner (more liquid) it is. SI unit of dynamic viscosity: [η] = Pascal-second (Pa*s) = N*s/m² = kg/m*s.

How to Calculate Velocity of Fluid given Shear Stress?

Velocity of Fluid given Shear Stress calculator uses Fluid Velocity = (Distance between Fluid Layers*Shear Stress)/Dynamic Viscosity to calculate the Fluid Velocity, The Velocity of Fluid given Shear Stress formula is defined as a function of shear stress, dynamic viscosity and distance between the adjacent fluid layers. Fluid Velocity is denoted by V symbol.

How to calculate Velocity of Fluid given Shear Stress using this online calculator? To use this online calculator for Velocity of Fluid given Shear Stress, enter Distance between Fluid Layers (Y), Shear Stress (τ) & Dynamic Viscosity (μ) and hit the calculate button. Here is how the Velocity of Fluid given Shear Stress calculation can be explained with given input values -> 810 = (81*800)/80.

FAQ

What is Velocity of Fluid given Shear Stress?
The Velocity of Fluid given Shear Stress formula is defined as a function of shear stress, dynamic viscosity and distance between the adjacent fluid layers and is represented as V = (Y*τ)/μ or Fluid Velocity = (Distance between Fluid Layers*Shear Stress)/Dynamic Viscosity. Distance between Fluid Layers is the distance between the adjacent fluid layers, 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 of Fluid given Shear Stress?
The Velocity of Fluid given Shear Stress formula is defined as a function of shear stress, dynamic viscosity and distance between the adjacent fluid layers is calculated using Fluid Velocity = (Distance between Fluid Layers*Shear Stress)/Dynamic Viscosity. To calculate Velocity of Fluid given Shear Stress, you need Distance between Fluid Layers (Y), Shear Stress (τ) & Dynamic Viscosity (μ). With our tool, you need to enter the respective value for Distance between Fluid Layers, 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.
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