Viscosity of Fluid or Oil in Rotating Cylinder Method Calculator

✖The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.ⓘ Outer Radius of Cylinder [r₂]			+10% -10%
✖The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.ⓘ Inner Radius of Cylinder [r₁]			+10% -10%
✖Clearance or gap is the distance between two surfaces adjacent to each other.ⓘ Clearance [C]			+10% -10%
✖Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.ⓘ Torque Exerted on Wheel [τ]			+10% -10%
✖Mean Speed in RPM is an average of individual vehicle speeds.ⓘ Mean Speed in RPM [N]			+10% -10%
✖The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.ⓘ Initial Height of Liquid [H_i]			+10% -10%

✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid or Oil in Rotating Cylinder Method [μ]

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Viscosity of Fluid or Oil in Rotating Cylinder Method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Viscosity of Fluid = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder)))
μ = (2*(r₂-r₁)*C*τ)/(pi*r₁^2*N*(4*H_i*C*r₂+r₁^2*(r₂-r₁)))
This formula uses 1 Constants, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Outer Radius of Cylinder - (Measured in Meter) - The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.
Inner Radius of Cylinder - (Measured in Meter) - The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.
Clearance - (Measured in Meter) - Clearance or gap is the distance between two surfaces adjacent to each other.
Torque Exerted on Wheel - (Measured in Newton Meter) - Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.
Mean Speed in RPM - (Measured in Hertz) - Mean Speed in RPM is an average of individual vehicle speeds.
Initial Height of Liquid - (Measured in Meter) - The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

STEP 1: Convert Input(s) to Base Unit

Outer Radius of Cylinder: 12.51 Meter --> 12.51 Meter No Conversion Required
Inner Radius of Cylinder: 1.52 Meter --> 1.52 Meter No Conversion Required
Clearance: 0.95 Meter --> 0.95 Meter No Conversion Required
Torque Exerted on Wheel: 49.99999 Newton Meter --> 49.99999 Newton Meter No Conversion Required
Mean Speed in RPM: 1.069076 Revolution per Minute --> 0.0178179333333333 Hertz (Check conversion here)
Initial Height of Liquid: 20.1 Meter --> 20.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (2*(r₂-r₁)*C*τ)/(pi*r₁^2*N*(4*H_i*C*r₂+r₁^2*(r₂-r₁))) --> (2*(12.51-1.52)*0.95*49.99999)/(pi*1.52^2*0.0178179333333333*(4*20.1*0.95*12.51+1.52^2*(12.51-1.52)))

Evaluating ... ...

μ = 8.23000012510522

STEP 3: Convert Result to Output's Unit

8.23000012510522 Pascal Second -->8.23000012510522 Newton Second per Square Meter (Check conversion here)

FINAL ANSWER

8.23000012510522 ≈ 8.23 Newton Second per Square Meter <-- Viscosity of Fluid

(Calculation completed in 00.008 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Mechanical » Flow Analysis » Viscosity of Fluid or Oil in Rotating Cylinder Method

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PSG College of Technology (PSGCT), Coimbatore

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< Flow Analysis Calculators

Loss of Pressure Head for Viscous Flow between Two Parallel Plates

LaTeX Go Loss of Peizometric Head = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Thickness of Oil Film^2)

Loss of Pressure Head for Viscous Flow through Circular Pipe

LaTeX Go Loss of Peizometric Head = (32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Diameter of Pipe^2)

Difference of Pressure for Viscous Flow between Two Parallel Plates

LaTeX Go Pressure Difference in Viscous Flow = (12*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Thickness of Oil Film^2)

Difference of Pressure for Viscous or Laminar Flow

LaTeX Go Pressure Difference in Viscous Flow = (32*Viscosity of Fluid*Average Velocity*Length of Pipe)/(Pipe Diameter^2)

Viscosity of Fluid or Oil in Rotating Cylinder Method Formula

LaTeX Go

What is rotating cylinder method?

A method of measuring the viscosity of a fluid in which the fluid fills the space between two concentric cylinders and the torque on the stationary inner cylinder is measured when the outer cylinder is rotated at a constant speed.

What causes viscosity in fluids?

Viscosity is caused by friction within a fluid. It is the result of intermolecular forces between particles within a fluid.

How to Calculate Viscosity of Fluid or Oil in Rotating Cylinder Method?

Viscosity of Fluid or Oil in Rotating Cylinder Method calculator uses Viscosity of Fluid = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder))) to calculate the Viscosity of Fluid, Viscosity of Fluid or Oil in Rotating Cylinder Method, the viscosity of a fluid is determined by measuring the torque required to rotate a cylinder immersed in the fluid. The viscosity is related to the angular velocity of the cylinder, the shear stress, and the shear rate within the fluid. Viscosity of Fluid is denoted by μ symbol.

How to calculate Viscosity of Fluid or Oil in Rotating Cylinder Method using this online calculator? To use this online calculator for Viscosity of Fluid or Oil in Rotating Cylinder Method, enter Outer Radius of Cylinder (r₂), Inner Radius of Cylinder (r₁), Clearance (C), Torque Exerted on Wheel (τ), Mean Speed in RPM (N) & Initial Height of Liquid (H_i) and hit the calculate button. Here is how the Viscosity of Fluid or Oil in Rotating Cylinder Method calculation can be explained with given input values -> 8.230002 = (2*(12.51-1.52)*0.95*49.99999)/(pi*1.52^2*0.0178179333333333*(4*20.1*0.95*12.51+1.52^2*(12.51-1.52))).

FAQ

What is Viscosity of Fluid or Oil in Rotating Cylinder Method?

Viscosity of Fluid or Oil in Rotating Cylinder Method, the viscosity of a fluid is determined by measuring the torque required to rotate a cylinder immersed in the fluid. The viscosity is related to the angular velocity of the cylinder, the shear stress, and the shear rate within the fluid and is represented as μ = (2*(r₂-r₁)*C*τ)/(pi*r₁^2*N*(4*H_i*C*r₂+r₁^2*(r₂-r₁))) or Viscosity of Fluid = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder))). The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder, The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder, Clearance or gap is the distance between two surfaces adjacent to each other, Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ, Mean Speed in RPM is an average of individual vehicle speeds & The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

How to calculate Viscosity of Fluid or Oil in Rotating Cylinder Method?

Viscosity of Fluid or Oil in Rotating Cylinder Method, the viscosity of a fluid is determined by measuring the torque required to rotate a cylinder immersed in the fluid. The viscosity is related to the angular velocity of the cylinder, the shear stress, and the shear rate within the fluid is calculated using Viscosity of Fluid = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder))). To calculate Viscosity of Fluid or Oil in Rotating Cylinder Method, you need Outer Radius of Cylinder (r₂), Inner Radius of Cylinder (r₁), Clearance (C), Torque Exerted on Wheel (τ), Mean Speed in RPM (N) & Initial Height of Liquid (H_i). With our tool, you need to enter the respective value for Outer Radius of Cylinder, Inner Radius of Cylinder, Clearance, Torque Exerted on Wheel, Mean Speed in RPM & Initial Height of 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 Viscosity of Fluid?

In this formula, Viscosity of Fluid uses Outer Radius of Cylinder, Inner Radius of Cylinder, Clearance, Torque Exerted on Wheel, Mean Speed in RPM & Initial Height of Liquid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Viscosity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Velocity of Fluid)
Viscosity of Fluid = (pi*Liquid Density*[g]*Difference in Pressure Head*4*Radius^4)/(128*Discharge in Capillary Tube*Length of Pipe)
Viscosity of Fluid = [g]*(Diameter of Sphere^2)/(18*Velocity of Sphere)*(Density of Sphere-Density of Liquid)

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