Dynamic Viscosity of fluid given Resistance Force on Spherical Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity)
μ = Fresistance/(3*pi*DS*Vmean)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Resistance Force - (Measured in Newton) - The Resistance Force Value is equal to the external load applied at equilibrium.
Diameter of Sphere - (Measured in Meter) - The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
STEP 1: Convert Input(s) to Base Unit
Resistance Force: 0.97 Kilonewton --> 970 Newton (Check conversion ​here)
Diameter of Sphere: 10 Meter --> 10 Meter No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = Fresistance/(3*pi*DS*Vmean) --> 970/(3*pi*10*10.1)
Evaluating ... ...
μ = 1.019011846859
STEP 3: Convert Result to Output's Unit
1.019011846859 Pascal Second -->10.19011846859 Poise (Check conversion ​here)
FINAL ANSWER
10.19011846859 10.19012 Poise <-- Dynamic Viscosity
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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Laminar Flow around a Sphere Stokes’ Law Calculators

Dynamic Viscosity of fluid given Resistance Force on Spherical Surface
​ LaTeX ​ Go Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity)
Diameter of Sphere given Resistance Force on Spherical Surface
​ LaTeX ​ Go Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)
Velocity of Sphere given Resistance Force on Spherical Surface
​ LaTeX ​ Go Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)
Resistance Force on Spherical Surface
​ LaTeX ​ Go Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere

Dynamic Viscosity of fluid given Resistance Force on Spherical Surface Formula

​LaTeX ​Go
Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity)
μ = Fresistance/(3*pi*DS*Vmean)

What is Dynamic Viscosity?

The dynamic viscosity η (η = "eta") is a measure of the viscosity of a fluid (fluid: liquid, flowing substance). The higher the viscosity, the thicker (less liquid) the fluid; the lower the viscosity, the thinner (more liquid) it is.

How to Calculate Dynamic Viscosity of fluid given Resistance Force on Spherical Surface?

Dynamic Viscosity of fluid given Resistance Force on Spherical Surface calculator uses Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity) to calculate the Dynamic Viscosity, The Dynamic Viscosity of fluid given Resistance Force on Spherical Surface is defined as resistance offered by fluid due to relative motion. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity of fluid given Resistance Force on Spherical Surface using this online calculator? To use this online calculator for Dynamic Viscosity of fluid given Resistance Force on Spherical Surface, enter Resistance Force (Fresistance), Diameter of Sphere (DS) & Mean Velocity (Vmean) and hit the calculate button. Here is how the Dynamic Viscosity of fluid given Resistance Force on Spherical Surface calculation can be explained with given input values -> 101.9012 = 970/(3*pi*10*10.1).

FAQ

What is Dynamic Viscosity of fluid given Resistance Force on Spherical Surface?
The Dynamic Viscosity of fluid given Resistance Force on Spherical Surface is defined as resistance offered by fluid due to relative motion and is represented as μ = Fresistance/(3*pi*DS*Vmean) or Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity). The Resistance Force Value is equal to the external load applied at equilibrium, The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere & Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
How to calculate Dynamic Viscosity of fluid given Resistance Force on Spherical Surface?
The Dynamic Viscosity of fluid given Resistance Force on Spherical Surface is defined as resistance offered by fluid due to relative motion is calculated using Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity). To calculate Dynamic Viscosity of fluid given Resistance Force on Spherical Surface, you need Resistance Force (Fresistance), Diameter of Sphere (DS) & Mean Velocity (Vmean). With our tool, you need to enter the respective value for Resistance Force, Diameter of Sphere & Mean Velocity 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?
In this formula, Dynamic Viscosity uses Resistance Force, Diameter of Sphere & Mean Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Dynamic Viscosity = ((Diameter of Sphere^2)/(18*Terminal Velocity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)
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