Power Absorbed in Collar Bearing Calculator

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Viscous Flow

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Properties of Surfaces and Solids

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Flow Analysis

Dimensions and Geometry

Fluid Flow and Resistance

✖The Viscosity of fluid is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Fluid [μ]			+10% -10%
✖Mean Speed in RPM is an average of individual vehicle speeds.ⓘ Mean Speed in RPM [N]			+10% -10%
✖The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar.ⓘ Outer Radius of Collar [R₁]			+10% -10%
✖The Inner Radius of Collar is the distance from the centre of the collar to the innermost edge of the collar.ⓘ Inner Radius of Collar [R₂]			+10% -10%
✖Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.ⓘ Thickness of Oil Film [t]			+10% -10%

✖Power absorbed in Collar Bearing refers to the amount of power or energy consumed or taken in by a device, system, or component.ⓘ Power Absorbed in Collar Bearing [P']

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Formula

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Power Absorbed in Collar Bearing

Formula

`"P'" = (2*"μ"*pi^3*"N"^2*("R"_{"1"}^4-"R"_{"2"}^4))/"t"`

Example

`"28.03601W"=(2*"8.23N*s/m²"*pi^3*("5.4rev/min")^2*(("1.7m")^4-("0.68m")^4))/"1.2m"`

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Power Absorbed in Collar Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
P' = (2*μ*pi^3*N^2*(R₁^4-R₂^4))/t
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Power Absorbed in Collar Bearing - (Measured in Watt) - Power absorbed in Collar Bearing refers to the amount of power or energy consumed or taken in by a device, system, or component.
Viscosity of Fluid - (Measured in Pascal Second) - The Viscosity of fluid is a measure of its resistance to deformation at a given rate.
Mean Speed in RPM - (Measured in Hertz) - Mean Speed in RPM is an average of individual vehicle speeds.
Outer Radius of Collar - (Measured in Meter) - The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar.
Inner Radius of Collar - (Measured in Meter) - The Inner Radius of Collar is the distance from the centre of the collar to the innermost edge of the collar.
Thickness of Oil Film - (Measured in Meter) - Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.

STEP 1: Convert Input(s) to Base Unit

Viscosity of Fluid: 8.23 Newton Second per Square Meter --> 8.23 Pascal Second (Check conversion here)
Mean Speed in RPM: 5.4 Revolution per Minute --> 0.09 Hertz (Check conversion here)
Outer Radius of Collar: 1.7 Meter --> 1.7 Meter No Conversion Required
Inner Radius of Collar: 0.68 Meter --> 0.68 Meter No Conversion Required
Thickness of Oil Film: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P' = (2*μ*pi^3*N^2*(R₁^4-R₂^4))/t --> (2*8.23*pi^3*0.09^2*(1.7^4-0.68^4))/1.2

Evaluating ... ...

P' = 28.0360084748222

STEP 3: Convert Result to Output's Unit

28.0360084748222 Watt --> No Conversion Required

FINAL ANSWER

28.0360084748222 ≈ 28.03601 Watt <-- Power Absorbed in Collar Bearing

(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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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)

Power Absorbed in Collar Bearing Formula

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
P' = (2*μ*pi^3*N^2*(R₁^4-R₂^4))/t

What is viscous resistance of collar bearing?

A collar bearing is provided at any position along the shaft and bears the axial load on a mating surface. The surface of the collar may be plane normal to the shaft or of conical shape. The face of the collar will be separated from the bearing surface by an oil film of uniform thickness.

What is a collar bearing?

A Collar Bearing is a type of Thrust Bearing. In thrust bearings, the load acts along the axis of the shaft as in Turbine shafts. The collar bearings usually have single or multiple numbers of collars depending upon the application.

How to Calculate Power Absorbed in Collar Bearing?

Power Absorbed in Collar Bearing calculator uses 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 to calculate the Power Absorbed in Collar Bearing, The Power absorbed in collar bearing formula is known while considering the viscosity of the fluid, the inner and outer radius of the collar, the thickness of the oil film, which is the terms considered in the torque required to overcome viscous resistance. Power Absorbed in Collar Bearing is denoted by P' symbol.

How to calculate Power Absorbed in Collar Bearing using this online calculator? To use this online calculator for Power Absorbed in Collar Bearing, enter Viscosity of Fluid (μ), Mean Speed in RPM (N), Outer Radius of Collar (R₁), Inner Radius of Collar (R₂) & Thickness of Oil Film (t) and hit the calculate button. Here is how the Power Absorbed in Collar Bearing calculation can be explained with given input values -> 0.090555 = (2*8.23*pi^3*0.09^2*(1.7^4-0.68^4))/1.2.

FAQ

What is Power Absorbed in Collar Bearing?

The Power absorbed in collar bearing formula is known while considering the viscosity of the fluid, the inner and outer radius of the collar, the thickness of the oil film, which is the terms considered in the torque required to overcome viscous resistance and is represented as P' = (2*μ*pi^3*N^2*(R₁^4-R₂^4))/t or 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. The Viscosity of fluid is a measure of its resistance to deformation at a given rate, Mean Speed in RPM is an average of individual vehicle speeds, The Outer Radius of Collar is the distance from the centre of the collar to the outermost edge of the collar, The Inner Radius of Collar is the distance from the centre of the collar to the innermost edge of the collar & Thickness of Oil Film refers to the distance or dimension between the surfaces that are separated by a layer of oil.

How to calculate Power Absorbed in Collar Bearing?

The Power absorbed in collar bearing formula is known while considering the viscosity of the fluid, the inner and outer radius of the collar, the thickness of the oil film, which is the terms considered in the torque required to overcome viscous resistance is calculated using 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. To calculate Power Absorbed in Collar Bearing, you need Viscosity of Fluid (μ), Mean Speed in RPM (N), Outer Radius of Collar (R₁), Inner Radius of Collar (R₂) & Thickness of Oil Film (t). With our tool, you need to enter the respective value for Viscosity of Fluid, Mean Speed in RPM, Outer Radius of Collar, Inner Radius of Collar & Thickness of Oil Film and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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