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 in parallel plate viscometer experimental setup.ⓘ 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 force is applied.ⓘ Dynamic Viscosity of Fluids [μ_d]

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Formula

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Dynamic Viscosity of Fluids

Formula

μ d = \frac{𝜏 \cdot y}{u}

Example

0.796 P = \frac{58.506 Pa \cdot 0.02 m}{14.7 m/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_d = (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 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 in parallel plate viscometer experimental setup.
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_d = (𝜏*y)/u --> (58.506*0.02)/14.7

Evaluating ... ...

μ_d = 0.0796

STEP 3: Convert Result to Output's Unit

0.0796 Pascal Second -->0.796 Poise (Check conversion here)

FINAL ANSWER

0.796 Poise <-- 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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< Applications of Fluid Force Calculators

Dynamic Viscosity of Gases

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

Dynamic Viscosity of Fluids

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

Dynamic Viscosity of Liquids

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

Friction Factor given Frictional Velocity

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

< 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

Kinematic Viscosity

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

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_d = (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_d 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 -> 7.96 = (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_d = (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 in parallel plate viscometer experimental setup & 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.

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