Shear Stress using Dynamic Viscosity of Fluid Calculator

✖Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external shear force is applied.ⓘ Dynamic Viscosity of Fluid [μ]			+10% -10%
✖Velocity of Moving Plate is the rate of change of position of the lower plate with respect to time, with respect to fixed upper plate. Due to this a shear stress will be induced on fluid.ⓘ Velocity of Moving Plate [u]			+10% -10%
✖Distance between Plates Carrying Fluid is the vertical distance between the parallel plates between which the fluid is kept.ⓘ Distance Between Plates Carrying Fluid [y]			+10% -10%

✖Shear stress on lower surface refers to the amount of shear force that acts on a small element of the surface of the lower plate parallel to adjacent fluid layer. .ⓘ 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

`"58.506Pa"="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 Lower Surface = Dynamic Viscosity of Fluid*(Velocity of Moving Plate)/(Distance Between Plates Carrying Fluid)
𝜏 = μ*(u)/(y)
This formula uses 4 Variables

Variables Used

Shear Stress on Lower Surface - (Measured in Pascal) - Shear stress on lower surface refers to the amount of shear force that acts on a small element of the surface of the lower plate parallel to adjacent fluid layer. .
Dynamic Viscosity of Fluid - (Measured in Pascal Second) - Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external shear force is applied.
Velocity of Moving Plate - (Measured in Meter per Second) - Velocity of Moving Plate is the rate of change of position of the lower plate with respect to time, with respect to fixed upper plate. Due to this a shear stress will be induced on fluid.
Distance Between Plates Carrying Fluid - (Measured in Meter) - Distance between Plates Carrying Fluid is the vertical distance between the parallel plates between which the fluid is kept.

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: 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 --> No Conversion Required

FINAL ANSWER

58.506 Pascal <-- Shear Stress on Lower 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 Disc = (pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius of Disc^4-Inner Radius of disc^4))/(2*Thickness of Oil*sin(Tilt Angle))

Dynamic Viscosity of Gases

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

Shear Stress using Dynamic Viscosity of Fluid

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

Dynamic Viscosity of Fluids

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

Distance between Plates given Dynamic Viscosity of Fluid

Go Distance Between Plates Carrying Fluid = Dynamic Viscosity of Fluid*Velocity of Moving Plate/Shear Stress on Lower Surface

Dynamic Viscosity of Liquids

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

Total Surface Area of Object Submerged in Liquid

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

Total Hydrostatic Force

Go Hydrostatic Force = Specific Weight of the Fluid*Vertical Distance from 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 Lower Surface = Dynamic Viscosity of Fluid*(Velocity of Moving Plate)/(Distance Between Plates Carrying Fluid)
𝜏 = μ*(u)/(y)

Newton's Law of Viscosity

Newton's law of viscosity states that the resistance to flow (shear stress) within a fluid is directly proportional to the rate of change in velocity across its layers (velocity gradient). In simpler terms, the faster the adjacent layers of a fluid move relative to each other, the greater the internal friction and the force required to maintain that flow. This law is fundamental for understanding fluid behavior in various applications like pipe flow, lubrication, and drag calculations.

Parallel-Plate Viscometer

Parallel-plate viscometer is a device that is used to measure dynamic viscosity of fluid. Two parallel plates are separated by a small distance, and the fluid whose viscosity is being measured is placed between these plates. The top plate is fixed, while the bottom plate can be moved or rotated. The dynamic viscosity of the fluid is then determined by measuring the force required to move the bottom plate at a certain velocity through the fluid

How to Calculate Shear Stress using Dynamic Viscosity of Fluid?

Shear Stress using Dynamic Viscosity of Fluid calculator uses Shear Stress on Lower Surface = Dynamic Viscosity of Fluid*(Velocity of Moving Plate)/(Distance Between Plates Carrying Fluid) to calculate the Shear Stress on Lower Surface, Shear Stress using Dynamic Viscosity of Fluid determines the shear stress induced within the surface of the lower plate. When the lower plate is moving with constant speed 'u', and the upper plate is kept stationary, the distance between the two plate is given as 'y', and the dynamic viscosity of that fluid (at a certain temperature) is known. This calculation is used for the experiment of "Parallel Plate Viscometer", and the experiment is based on the theory of "Newton's Law of Viscosity. Shear Stress on Lower 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 (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?

Shear Stress using Dynamic Viscosity of Fluid determines the shear stress induced within the surface of the lower plate. When the lower plate is moving with constant speed 'u', and the upper plate is kept stationary, the distance between the two plate is given as 'y', and the dynamic viscosity of that fluid (at a certain temperature) is known. This calculation is used for the experiment of "Parallel Plate Viscometer", and the experiment is based on the theory of "Newton's Law of Viscosity and is represented as 𝜏 = μ*(u)/(y) or Shear Stress on Lower Surface = Dynamic Viscosity of Fluid*(Velocity of Moving Plate)/(Distance Between Plates Carrying Fluid). Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external shear force is applied, Velocity of Moving Plate is the rate of change of position of the lower plate with respect to time, with respect to fixed upper plate. Due to this a shear stress will be induced on fluid & Distance between Plates Carrying Fluid is the vertical distance between the parallel plates between which the fluid is kept.

How to calculate Shear Stress using Dynamic Viscosity of Fluid?

Shear Stress using Dynamic Viscosity of Fluid determines the shear stress induced within the surface of the lower plate. When the lower plate is moving with constant speed 'u', and the upper plate is kept stationary, the distance between the two plate is given as 'y', and the dynamic viscosity of that fluid (at a certain temperature) is known. This calculation is used for the experiment of "Parallel Plate Viscometer", and the experiment is based on the theory of "Newton's Law of Viscosity is calculated using Shear Stress on Lower Surface = Dynamic Viscosity of Fluid*(Velocity of Moving Plate)/(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 (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 & 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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