Dynamic Viscosity of Fluids Calculator

✖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 on Lower Surface [𝜏]			+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%
✖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%

✖Dynamic Viscosity of Fluid is the measure of its resistance to flow when an external shear force is applied.ⓘ Dynamic Viscosity of Fluids [μ]

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Formula

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Dynamic Viscosity of Fluids

Formula

`"μ"_{""} = ("𝜏"*"y")/"u"`

Example

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

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Dynamic Viscosity of Fluids Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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. .
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.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Stress on Lower Surface: 58.506 Pascal --> 58.506 Pascal No Conversion Required
Distance Between Plates Carrying Fluid: 0.02 Meter --> 0.02 Meter No Conversion Required
Velocity of Moving Plate: 14.7 Meter per Second --> 14.7 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (𝜏*y)/u --> (58.506*0.02)/14.7

Evaluating ... ...

μ = 0.0796

STEP 3: Convert Result to Output's Unit

0.0796 Pascal Second --> No Conversion Required

FINAL ANSWER

0.0796 Pascal Second <-- Dynamic Viscosity of Fluid

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

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

< 6 Assorted Characteristics Calculators

Dynamic Viscosity of Fluids

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

Vapour Pressure

Go Vapour Pressure of Solution = Mole Fraction of Solvent in Solution*Vapour Pressure of Solvent

Shape Factor to Determine Nature of Flow

Go Shape Factor of Flow = Displacement Thickness of Flow/Momentum Thickness of Flow

Kinematic Viscosity

Go Kinematic Viscosity of Liquid = Dynamic Viscosity of Fluid/Mass Density

Cardiac Output

Go Cardiac Output from Heart = Stroke Volume of Blood*Heart Rate

Surface Tension given Force and Length

Go Surface Tension of Liquid = Force/Length

Dynamic Viscosity of Fluids Formula

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

Application of Dynamic viscosity in Engineering.

Dynamic viscosity in engineering is used to predict fluid behavior in various applications like fluid flow in pipes, lubrication of mechanical components, heat transfer analysis, polymer processing, biomedical engineering, and environmental studies.It helps in designing efficient systems, optimizing processes, and ensuring performance and reliability in engineering applications.

What is velocity gradient?

Velocity gradient is the difference in velocity between layers of a fluid. It's represented by the equation u/y, where u is velocity and y is the distance between the adjacent layers of the fluid.

How to Calculate Dynamic Viscosity of Fluids?

Dynamic Viscosity of Fluids calculator uses Dynamic Viscosity of Fluid = (Shear Stress on Lower Surface*Distance Between Plates Carrying Fluid)/Velocity of Moving Plate to calculate the Dynamic Viscosity of Fluid, Dynamic viscosity of Fluids often simply referred to as viscosity, is a fundamental property of fluids that describes their resistance to flow when subjected to an applied force or shear stress. It is a measure of the internal friction within a fluid as it moves, and it quantifies how easily the fluid can be deformed or sheared. Materials with high dynamic viscosity flow sluggishly, while those with low dynamic viscosity flow more readily. Dynamic Viscosity of Fluid is denoted by μ symbol.

How to calculate Dynamic Viscosity of Fluids using this online calculator? To use this online calculator for Dynamic Viscosity of Fluids, enter Shear Stress on Lower Surface (𝜏), Distance Between Plates Carrying Fluid (y) & Velocity of Moving Plate (u) and hit the calculate button. Here is how the Dynamic Viscosity of Fluids calculation can be explained with given input values -> 0.052313 = (58.506*0.02)/14.7.

FAQ

What is Dynamic Viscosity of Fluids?

Dynamic viscosity of Fluids often simply referred to as viscosity, is a fundamental property of fluids that describes their resistance to flow when subjected to an applied force or shear stress. It is a measure of the internal friction within a fluid as it moves, and it quantifies how easily the fluid can be deformed or sheared. Materials with high dynamic viscosity flow sluggishly, while those with low dynamic viscosity flow more readily and is represented as μ = (𝜏*y)/u or Dynamic Viscosity of Fluid = (Shear Stress on Lower Surface*Distance Between Plates Carrying Fluid)/Velocity of Moving Plate. 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. , Distance between Plates Carrying Fluid is the vertical distance between the parallel plates between which the fluid is kept & 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.

How to calculate Dynamic Viscosity of Fluids?

Dynamic viscosity of Fluids often simply referred to as viscosity, is a fundamental property of fluids that describes their resistance to flow when subjected to an applied force or shear stress. It is a measure of the internal friction within a fluid as it moves, and it quantifies how easily the fluid can be deformed or sheared. Materials with high dynamic viscosity flow sluggishly, while those with low dynamic viscosity flow more readily is calculated using Dynamic Viscosity of Fluid = (Shear Stress on Lower Surface*Distance Between Plates Carrying Fluid)/Velocity of Moving Plate. To calculate Dynamic Viscosity of Fluids, you need Shear Stress on Lower Surface (𝜏), Distance Between Plates Carrying Fluid (y) & Velocity of Moving Plate (u). With our tool, you need to enter the respective value for Shear Stress on Lower Surface, Distance Between Plates Carrying Fluid & Velocity of Moving Plate 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 of Fluid?

In this formula, Dynamic Viscosity of Fluid uses Shear Stress on Lower Surface, Distance Between Plates Carrying Fluid & Velocity of Moving Plate. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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