Shear Stress using Dynamic Viscosity of Fluid Calculator

✖Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity of Fluid [μ]			+10% -10%
✖Velocity of Moving Plate on Liquid is the velocity of the moving plate with respect to fixed plate, due to this a shear stress will be induced on the liquid.ⓘ Velocity of Moving Plate on Liquid [u]			+10% -10%
✖Distance between Plates Carrying Fluid is the vertical distance between the plates between which the fluid is flowing.ⓘ Distance between Plates Carrying Fluid [y]			+10% -10%

✖Shear stress on upper surface refers to the amount of shear force that acts on a small element of the surface parallel to a given fluid particle. .ⓘ Shear Stress using Dynamic Viscosity of Fluid [𝜏]

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Formula

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Shear Stress using Dynamic Viscosity of Fluid

Formula

`"𝜏" = "μ"_{""}*("u")/("y")`

Example

`"58.506N/m²"="0.0796Pa*s"*("14.7m/s")/("0.02m")`

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Shear Stress using Dynamic Viscosity of Fluid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress on Upper Surface = Dynamic Viscosity of Fluid*(Velocity of Moving Plate on Liquid)/(Distance between Plates Carrying Fluid)
𝜏 = μ*(u)/(y)
This formula uses 4 Variables

Variables Used

Shear Stress on Upper Surface - (Measured in Pascal) - Shear stress on upper surface refers to the amount of shear force that acts on a small element of the surface parallel to a given fluid particle. .
Dynamic Viscosity of Fluid - (Measured in Pascal Second) - Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied.
Velocity of Moving Plate on Liquid - (Measured in Meter per Second) - Velocity of Moving Plate on Liquid is the velocity of the moving plate with respect to fixed plate, due to this a shear stress will be induced on the liquid.
Distance between Plates Carrying Fluid - (Measured in Meter) - Distance between Plates Carrying Fluid is the vertical distance between the plates between which the fluid is flowing.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity of Fluid: 0.0796 Pascal Second --> 0.0796 Pascal Second No Conversion Required
Velocity of Moving Plate on Liquid: 14.7 Meter per Second --> 14.7 Meter per Second No Conversion Required
Distance between Plates Carrying Fluid: 0.02 Meter --> 0.02 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = μ*(u)/(y) --> 0.0796*(14.7)/(0.02)

Evaluating ... ...

𝜏 = 58.506

STEP 3: Convert Result to Output's Unit

58.506 Pascal -->58.506 Newton per Square Meter (Check conversion here)

FINAL ANSWER

58.506 Newton per Square Meter <-- Shear Stress on Upper Surface

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 9 Applications of Fluid Force Calculators

Torque given Thickness of Oil

Go Torque Exerted on Wheel = pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius of Cylinder^4-Inner Radius of Cylinder^4)/2*Thickness of Oil*sin(Angle of Twist)

Dynamic Viscosity of Gases

Go Dynamic Viscosity of Fluid = (Sutherland Experimental Constant 'a'*Temperature of Fluid^(1/2))/(1+Sutherland Experimental Constant 'b'/Temperature of Fluid)

Shear Stress using Dynamic Viscosity of Fluid

Go Shear Stress on Upper Surface = Dynamic Viscosity of Fluid*(Velocity of Moving Plate on Liquid)/(Distance between Plates Carrying Fluid)

Dynamic Viscosity of Fluids

Go Dynamic Viscosity of Fluid = (Shear Stress on Upper Surface*Distance between Plates Carrying Fluid)/Velocity of Moving Plate on Liquid

Distance between Plates given Dynamic Viscosity of Fluid

Go Distance between Plates Carrying Fluid = Dynamic Viscosity of Fluid*Velocity of Moving Plate on Liquid/Shear Stress on Upper Surface

Total Surface Area of Object Submerged in Liquid

Go Surface Area of the Object = Hydrostatic Force/(Specific Weight of the Fluid*Vertical Distance of the Centroid)

Dynamic Viscosity of Liquids

Go Dynamic Viscosity of Fluid = Experimental Constant 'A'*e^((Experimental Constant 'B')/(Temperature of Fluid))

Total Hydrostatic Force

Go Hydrostatic Force = Specific Weight of the Fluid*Vertical Distance of the Centroid*Surface Area of the Object

Friction Factor given Frictional Velocity

Go Darcy's Friction Factor = 8*(Friction Velocity/Mean Velocity)^2

Shear Stress using Dynamic Viscosity of Fluid Formula

Shear Stress on Upper Surface = Dynamic Viscosity of Fluid*(Velocity of Moving Plate on Liquid)/(Distance between Plates Carrying Fluid)
𝜏 = μ*(u)/(y)

Define Dynamic 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 Shear Stress using Dynamic Viscosity of Fluid?

Shear Stress using Dynamic Viscosity of Fluid calculator uses Shear Stress on Upper Surface = Dynamic Viscosity of Fluid*(Velocity of Moving Plate on Liquid)/(Distance between Plates Carrying Fluid) to calculate the Shear Stress on Upper Surface, The Shear Stress using Dynamic Viscosity of Fluid formula is the resistance to movement of one layer of fluid over another. Shear Stress on Upper Surface is denoted by 𝜏 symbol.

How to calculate Shear Stress using Dynamic Viscosity of Fluid using this online calculator? To use this online calculator for Shear Stress using Dynamic Viscosity of Fluid, enter Dynamic Viscosity of Fluid (μ), Velocity of Moving Plate on Liquid (u) & Distance between Plates Carrying Fluid (y) and hit the calculate button. Here is how the Shear Stress using Dynamic Viscosity of Fluid calculation can be explained with given input values -> 89.02313 = 0.0796*(14.7)/(0.02).

FAQ

What is Shear Stress using Dynamic Viscosity of Fluid?

The Shear Stress using Dynamic Viscosity of Fluid formula is the resistance to movement of one layer of fluid over another and is represented as 𝜏 = μ*(u)/(y) or Shear Stress on Upper Surface = Dynamic Viscosity of Fluid*(Velocity of Moving Plate on Liquid)/(Distance between Plates Carrying Fluid). Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external force is applied, Velocity of Moving Plate on Liquid is the velocity of the moving plate with respect to fixed plate, due to this a shear stress will be induced on the liquid & Distance between Plates Carrying Fluid is the vertical distance between the plates between which the fluid is flowing.

How to calculate Shear Stress using Dynamic Viscosity of Fluid?

The Shear Stress using Dynamic Viscosity of Fluid formula is the resistance to movement of one layer of fluid over another is calculated using Shear Stress on Upper Surface = Dynamic Viscosity of Fluid*(Velocity of Moving Plate on Liquid)/(Distance between Plates Carrying Fluid). To calculate Shear Stress using Dynamic Viscosity of Fluid, you need Dynamic Viscosity of Fluid (μ), Velocity of Moving Plate on Liquid (u) & Distance between Plates Carrying Fluid (y). With our tool, you need to enter the respective value for Dynamic Viscosity of Fluid, Velocity of Moving Plate on Liquid & Distance between Plates Carrying Fluid 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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