Dynamic Viscosity of Fluids Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dynamic Viscosity of Fluid = (Shear Stress in Fluid*Distance between Plates Carrying Fluid)/Velocity of Moving Plate on Liquid
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 force is applied.
Shear Stress in Fluid - (Measured in Pascal) - Shear stress in fluid refers to the amount of shear force that acts on a given fluid parallel to a small element of the fluid surface.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Shear Stress in Fluid: 8.5 Newton per Square Meter --> 8.5 Pascal (Check conversion here)
Distance between Plates Carrying Fluid: 0.013144 Meter --> 0.013144 Meter No Conversion Required
Velocity of Moving Plate on Liquid: 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 --> (8.5*0.013144)/14.7
Evaluating ... ...
μ = 0.00760027210884354
STEP 3: Convert Result to Output's Unit
0.00760027210884354 Pascal Second -->0.0760027210884354 Poise (Check conversion here)
FINAL ANSWER
0.0760027210884354 0.076003 Poise <-- Dynamic Viscosity of Fluid
(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad
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12 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)
Normal Stress 1
Go Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Fluid^2)
Normal Stress 2
Go Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Fluid^2)
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 in Fluid = 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 in Fluid*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 in Fluid
Area of Wetted Surface given Total Hydrostatic Force
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
Torque on Shaft
Go Torque Exerted on Shaft = Force*Shaft Diameter/2

6 Assorted Characteristics Calculators

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

What is dynamic viscosity?

Dynamic viscosity (also known as absolute viscosity) is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density.

What is velocity gradient?

it is the speed divided per unit length.

How to Calculate Dynamic Viscosity of Fluids?

Dynamic Viscosity of Fluids calculator uses Dynamic Viscosity of Fluid = (Shear Stress in Fluid*Distance between Plates Carrying Fluid)/Velocity of Moving Plate on Liquid to calculate the Dynamic Viscosity of Fluid, Dynamic viscosity of fluids is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density. 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 in Fluid (𝜏), Distance between Plates Carrying Fluid (y) & Velocity of Moving Plate on Liquid (u) and hit the calculate button. Here is how the Dynamic Viscosity of Fluids calculation can be explained with given input values -> 0.0076 = (8.5*0.013144)/14.7.

FAQ

What is Dynamic Viscosity of Fluids?
Dynamic viscosity of fluids is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density and is represented as μ = (𝜏*y)/u or Dynamic Viscosity of Fluid = (Shear Stress in Fluid*Distance between Plates Carrying Fluid)/Velocity of Moving Plate on Liquid. Shear stress in fluid refers to the amount of shear force that acts on a given fluid parallel to a small element of the fluid surface, Distance between Plates Carrying Fluid is the vertical distance between the plates between which the fluid is flowing & 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.
How to calculate Dynamic Viscosity of Fluids?
Dynamic viscosity of fluids is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density is calculated using Dynamic Viscosity of Fluid = (Shear Stress in Fluid*Distance between Plates Carrying Fluid)/Velocity of Moving Plate on Liquid. To calculate Dynamic Viscosity of Fluids, you need Shear Stress in Fluid (𝜏), Distance between Plates Carrying Fluid (y) & Velocity of Moving Plate on Liquid (u). With our tool, you need to enter the respective value for Shear Stress in Fluid, Distance between Plates Carrying Fluid & Velocity of Moving Plate on Liquid 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 in Fluid, Distance between Plates Carrying Fluid & Velocity of Moving Plate on Liquid. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Dynamic Viscosity of Fluid = (Sutherland Experimental Constant 'a'*Temperature of Fluid^(1/2))/(1+Sutherland Experimental Constant 'b'/Temperature of Fluid)
  • Dynamic Viscosity of Fluid = Experimental Constant 'A'*e^((Experimental Constant 'B')/(Temperature of Fluid))
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