Dynamic Viscosity of Fluid Flow given Torque Calculator

✖The Torque on Inner Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.ⓘ Torque on Inner Cylinder [T]			+10% -10%
✖The Radius of Outer Cylinder refers to the spacing for measuring fluid viscosity based on inner cylinder rotation.ⓘ Radius of Outer Cylinder [r₂]			+10% -10%
✖The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement.ⓘ Radius of Inner Cylinder [r₁]			+10% -10%
✖The Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright.ⓘ Height of Cylinder [h]			+10% -10%
✖The Angular Speed refers to the rate of change of angular displacement.ⓘ Angular Speed [Ω]			+10% -10%

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity of Fluid Flow given Torque [μ]

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Dynamic Viscosity of Fluid Flow given Torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = (15*Torque on Inner Cylinder*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height of Cylinder*Angular Speed)
μ = (15*T*(r₂-r₁))/(pi*pi*r₁*r₁*r₂*h*Ω)
This formula uses 1 Constants, 6 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.
Torque on Inner Cylinder - (Measured in Newton Meter) - The Torque on Inner Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate.
Radius of Outer Cylinder - (Measured in Meter) - The Radius of Outer Cylinder refers to the spacing for measuring fluid viscosity based on inner cylinder rotation.
Radius of Inner Cylinder - (Measured in Meter) - The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement.
Height of Cylinder - (Measured in Meter) - The Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright.
Angular Speed - (Measured in Radian per Second) - The Angular Speed refers to the rate of change of angular displacement.

STEP 1: Convert Input(s) to Base Unit

Torque on Inner Cylinder: 500 Kilonewton Meter --> 500000 Newton Meter (Check conversion here)
Radius of Outer Cylinder: 13 Meter --> 13 Meter No Conversion Required
Radius of Inner Cylinder: 12 Meter --> 12 Meter No Conversion Required
Height of Cylinder: 11.9 Meter --> 11.9 Meter No Conversion Required
Angular Speed: 5 Revolution per Second --> 31.4159265342981 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (15*T*(r₂-r₁))/(pi*pi*r₁*r₁*r₂*h*Ω) --> (15*500000*(13-12))/(pi*pi*12*12*13*11.9*31.4159265342981)

Evaluating ... ...

μ = 1.08582250709848

STEP 3: Convert Result to Output's Unit

1.08582250709848 Pascal Second -->10.8582250709848 Poise (Check conversion here)

FINAL ANSWER

10.8582250709848 ≈ 10.85823 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Coaxial Cylinder Viscometers Calculators

Radius of Inner Cylinder given Torque exerted on Inner Cylinder

LaTeX Go Radius of Inner Cylinder = sqrt(Torque on Inner Cylinder/(2*pi*Height of Cylinder*Shear Stress))

Shear Stress on Cylinder given Torque exerted on Inner Cylinder

LaTeX Go Shear Stress = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Height of Cylinder)

Height of Cylinder given Torque exerted on Inner Cylinder

LaTeX Go Height of Cylinder = Torque on Inner Cylinder/(2*pi*((Radius of Inner Cylinder)^2)*Shear Stress)

Torque exerted on Inner Cylinder

LaTeX Go Total Torque = 2*((Radius of Inner Cylinder)^2)*Height of Cylinder*Shear Stress

Dynamic Viscosity of Fluid Flow given Torque Formula

LaTeX Go

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 Flow given Torque?

Dynamic Viscosity of Fluid Flow given Torque calculator uses Dynamic Viscosity = (15*Torque on Inner Cylinder*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height of Cylinder*Angular Speed) to calculate the Dynamic Viscosity, The Dynamic Viscosity of Fluid Flow given Torque formula is defined as the resistance offered by fluid on flow due to viscous nature of fluid. Dynamic Viscosity is denoted by μ symbol.

How to calculate Dynamic Viscosity of Fluid Flow given Torque using this online calculator? To use this online calculator for Dynamic Viscosity of Fluid Flow given Torque, enter Torque on Inner Cylinder (T), Radius of Outer Cylinder (r₂), Radius of Inner Cylinder (r₁), Height of Cylinder (h) & Angular Speed (Ω) and hit the calculate button. Here is how the Dynamic Viscosity of Fluid Flow given Torque calculation can be explained with given input values -> 108.5823 = (15*500000*(13-12))/(pi*pi*12*12*13*11.9*31.4159265342981).

FAQ

What is Dynamic Viscosity of Fluid Flow given Torque?

The Dynamic Viscosity of Fluid Flow given Torque formula is defined as the resistance offered by fluid on flow due to viscous nature of fluid and is represented as μ = (15*T*(r₂-r₁))/(pi*pi*r₁*r₁*r₂*h*Ω) or Dynamic Viscosity = (15*Torque on Inner Cylinder*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height of Cylinder*Angular Speed). The Torque on Inner Cylinder refers to the measure of how much a force acting on a cylinder causing it to rotate, The Radius of Outer Cylinder refers to the spacing for measuring fluid viscosity based on inner cylinder rotation, The Radius of Inner Cylinder refers to the distance from center to inner cylinder's surface, crucial for viscosity measurement, The Height of Cylinder refers to the distance between the lowest and highest points of a person/ shape/ object standing upright & The Angular Speed refers to the rate of change of angular displacement.

How to calculate Dynamic Viscosity of Fluid Flow given Torque?

The Dynamic Viscosity of Fluid Flow given Torque formula is defined as the resistance offered by fluid on flow due to viscous nature of fluid is calculated using Dynamic Viscosity = (15*Torque on Inner Cylinder*(Radius of Outer Cylinder-Radius of Inner Cylinder))/(pi*pi*Radius of Inner Cylinder*Radius of Inner Cylinder*Radius of Outer Cylinder*Height of Cylinder*Angular Speed). To calculate Dynamic Viscosity of Fluid Flow given Torque, you need Torque on Inner Cylinder (T), Radius of Outer Cylinder (r₂), Radius of Inner Cylinder (r₁), Height of Cylinder (h) & Angular Speed (Ω). With our tool, you need to enter the respective value for Torque on Inner Cylinder, Radius of Outer Cylinder, Radius of Inner Cylinder, Height of Cylinder & Angular Speed 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 Torque on Inner Cylinder, Radius of Outer Cylinder, Radius of Inner Cylinder, Height of Cylinder & Angular Speed. We can use 2 other way(s) to calculate the same, which is/are as follows -

Dynamic Viscosity = Torque on Outer Cylinder/(pi*pi*Angular Speed*(Radius of Inner Cylinder^4)/(60*Clearance))
Dynamic Viscosity = Total Torque/(Viscometer Constant*Angular Speed)

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