Viscosity of Fluid or Oil in Rotating Cylinder Method Calculator

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✖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

Formula

`"μ" = (2*("r"_{"2"}-"r"_{"1"})*"C"*"τ")/(pi*"r"_{"1"}^2*"N"*(4*"H"_{"i"}*"C"*"r"_{"2"}+"r"_{"1"}^2*("r"_{"2"}-"r"_{"1"})))`

Example

`"1.629351N*s/m²"=(2*("12.51m"-"1.52m")*"0.95m"*"50N*m")/(pi*("1.52m")^2*"5.4rev/min"*(4*"20.1m"*"0.95m"*"12.51m"+("1.52m")^2*("12.51m"-"1.52m")))`

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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: 50 Newton Meter --> 50 Newton Meter No Conversion Required
Mean Speed in RPM: 5.4 Revolution per Minute --> 0.09 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*50)/(pi*1.52^2*0.09*(4*20.1*0.95*12.51+1.52^2*(12.51-1.52)))

Evaluating ... ...

μ = 1.62935136545305

STEP 3: Convert Result to Output's Unit

1.62935136545305 Pascal Second -->1.62935136545305 Newton Second per Square Meter (Check conversion here)

FINAL ANSWER

1.62935136545305 ≈ 1.629351 Newton Second per Square Meter <-- Viscosity of Fluid

(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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Amrita School of Engineering (ASE), Vallikavu

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< 13 Flow Analysis Calculators

Viscosity of Fluid or Oil in Rotating Cylinder Method

Go 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)))

Viscosity of Fluid or Oil for Capillary Tube Method

Go Viscosity of Fluid = (pi*Liquid Density*[g]*Difference in Pressure Head*4*Radius^4)/(128*Discharge in Capillary Tube*Length of Pipe)

Loss of Pressure Head for Viscous Flow between Two Parallel Plates

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

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

Power Absorbed in Collar Bearing

Go Power Absorbed in Collar Bearing = (2*Viscosity of Fluid*pi^3*Mean Speed in RPM^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film

Viscosity of Fluid or Oil for Movement of Piston in Dash-Pot

Go Viscosity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Velocity of Fluid)

Mean Free Path given Fluid Viscosity and Density

Go Mean Free Path = (((pi)^0.5)*Viscosity of Fluid)/(Liquid Density*((Thermodynamic Beta*Universal Gas Constant*2)^(0.5)))

Power Absorbed in Overcoming Viscous Resistance in Journal Bearing

Go Power Absorbed = (Viscosity of Fluid*pi^3*Shaft Diameter^3*Mean Speed in RPM^2*Length of Pipe)/Thickness of Oil Film

Viscosity of Fluid or Oil in Falling Sphere Resistance Method

Go Viscosity of Fluid = [g]*(Diameter of Sphere^2)/(18*Velocity of Sphere)*(Density of Sphere-Density of Liquid)

Loss of Head Due to Friction

Go Loss of Head = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Diameter of Pipe*2*[g])

Difference of Pressure for Viscous Flow between Two Parallel Plates

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

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

Power Absorbed in Foot-Step Bearing

Go Power Absorbed = (2*Viscosity of Fluid*pi^3*Mean Speed in RPM^2*(Shaft Diameter/2)^4)/(Thickness of Oil Film)

Viscosity of Fluid or Oil in Rotating Cylinder Method Formula

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, The Viscosity of fluid or oil in rotating cylinder method formula is known while considering the inner and outer radius of the cylinder, torque measured, clearance at the bottom of the cylinder, and the height of the liquid. 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 -> 1.677193 = (2*(12.51-1.52)*0.95*50)/(pi*1.52^2*0.09*(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?

The Viscosity of fluid or oil in rotating cylinder method formula is known while considering the inner and outer radius of the cylinder, torque measured, clearance at the bottom of the cylinder, and the height of the liquid 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?

The Viscosity of fluid or oil in rotating cylinder method formula is known while considering the inner and outer radius of the cylinder, torque measured, clearance at the bottom of the cylinder, and the height of the liquid 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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