Dynamic Viscosity of Fluids Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dynamic Viscosity 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 Fluid - (Measured in Pascal Second) - Dynamic Viscosity Fluid is the measure of fluid's resistance to flow when an external shear force is applied between the layers of fluid.
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 = (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 Fluid
(Calculation completed in 00.020 seconds)

Credits

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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
​ LaTeX ​ 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
​ LaTeX ​ Go Dynamic Viscosity Fluid = (Shear Stress on Lower Surface*Distance Between Plates Carrying Fluid)/Velocity of Moving Plate
Dynamic Viscosity of Liquids
​ LaTeX ​ Go Dynamic Viscosity Fluid = Experimental Constant 'A'*e^((Experimental Constant 'B')/(Absolute Temperature of Fluid))
Friction Factor given Frictional Velocity
​ LaTeX ​ Go Darcy's Friction Factor = 8*(Friction Velocity/Mean Velocity)^2

Assorted Characteristics Calculators

Dynamic Viscosity of Fluids
​ LaTeX ​ Go Dynamic Viscosity Fluid = (Shear Stress on Lower Surface*Distance Between Plates Carrying Fluid)/Velocity of Moving Plate
Vapour Pressure
​ LaTeX ​ Go Vapour Pressure of Solution = Mole Fraction of Solvent in Solution*Vapour Pressure of Solvent
Kinematic Viscosity
​ LaTeX ​ Go Kinematic Viscosity of Liquid = Dynamic Viscosity/Mass Density
Surface Tension given Force and Length
​ LaTeX ​ Go Surface Tension of Liquid = Force/Length

Dynamic Viscosity of Fluids Formula

​LaTeX ​Go
Dynamic Viscosity 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 Fluid = (Shear Stress on Lower Surface*Distance Between Plates Carrying Fluid)/Velocity of Moving Plate to calculate the Dynamic Viscosity Fluid, Dynamic Viscosity of Fluids formula is defined as a measure of a fluid's resistance to shear stress, which is the internal friction that occurs when its layers move in relation to each other, and is a critical property in the study of fluid dynamics and rheology. Dynamic Viscosity 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 -> 0.0796 = (58.506*0.02)/14.7.

FAQ

What is Dynamic Viscosity of Fluids?
Dynamic Viscosity of Fluids formula is defined as a measure of a fluid's resistance to shear stress, which is the internal friction that occurs when its layers move in relation to each other, and is a critical property in the study of fluid dynamics and rheology and is represented as μ = (𝜏*y)/u or Dynamic Viscosity 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 formula is defined as a measure of a fluid's resistance to shear stress, which is the internal friction that occurs when its layers move in relation to each other, and is a critical property in the study of fluid dynamics and rheology is calculated using Dynamic Viscosity 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 Fluid?
In this formula, Dynamic Viscosity 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 Fluid = (Sutherland Experimental Constant 'a'*Absolute Temperature of Fluid^(1/2))/(1+Sutherland Experimental Constant 'b'/Absolute Temperature of Fluid)
  • Dynamic Viscosity Fluid = Experimental Constant 'A'*e^((Experimental Constant 'B')/(Absolute Temperature of Fluid))
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