Power Absorbed in Overcoming Viscous Resistance in Journal Bearing Calculator

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Viscous Flow

Draft Tube

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Properties of Surfaces and Solids

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Flow Analysis

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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%
✖Shaft Diameter is the diameter of the shaft of the pile.ⓘ Shaft Diameter [D_shaft]			+10% -10%
✖Mean Speed in RPM is an average of individual vehicle speeds.ⓘ Mean Speed in RPM [N]			+10% -10%
✖Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.ⓘ Length of Pipe [L]			+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 refers to the amount of power or energy consumed or taken in by a device, system, or component.ⓘ Power Absorbed in Overcoming Viscous Resistance in Journal Bearing [P]

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Formula

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Power Absorbed in Overcoming Viscous Resistance in Journal Bearing

Formula

`"P" = ("μ"*pi^3*"D"_{"shaft"}^3*"N"^2*"L")/"t"`

Example

`"283.5471W"=("8.23N*s/m²"*pi^3*("3.8m")^3*("5.4rev/min")^2*"3m")/"1.2m"`

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Power Absorbed in Overcoming Viscous Resistance in Journal Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Power Absorbed = (Viscosity of Fluid*pi^3*Shaft Diameter^3*Mean Speed in RPM^2*Length of Pipe)/Thickness of Oil Film
P = (μ*pi^3*D_shaft^3*N^2*L)/t
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Power Absorbed - (Measured in Watt) - Power absorbed 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.
Shaft Diameter - (Measured in Meter) - Shaft Diameter is the diameter of the shaft of the pile.
Mean Speed in RPM - (Measured in Hertz) - Mean Speed in RPM is an average of individual vehicle speeds.
Length of Pipe - (Measured in Meter) - Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.
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)
Shaft Diameter: 3.8 Meter --> 3.8 Meter No Conversion Required
Mean Speed in RPM: 5.4 Revolution per Minute --> 0.09 Hertz (Check conversion here)
Length of Pipe: 3 Meter --> 3 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 = (μ*pi^3*D_shaft^3*N^2*L)/t --> (8.23*pi^3*3.8^3*0.09^2*3)/1.2

Evaluating ... ...

P = 283.54713971644

STEP 3: Convert Result to Output's Unit

283.54713971644 Watt --> No Conversion Required

FINAL ANSWER

283.54713971644 ≈ 283.5471 Watt <-- Power Absorbed

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Flow Analysis » Power Absorbed in Overcoming Viscous Resistance in Journal Bearing

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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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 Overcoming Viscous Resistance in Journal Bearing Formula

Power Absorbed = (Viscosity of Fluid*pi^3*Shaft Diameter^3*Mean Speed in RPM^2*Length of Pipe)/Thickness of Oil Film
P = (μ*pi^3*D_shaft^3*N^2*L)/t

What is viscous resistance of journal bearing?

Let us consider that a shaft is rotating in a journal bearing and think that oil is used as a lubricant in order to fill the clearance between the shaft and journal bearing. Therefore oil will offer viscous resistance to the rotating shaft.

What is shear force in the oil?

Shear forces acting tangentially to a surface of a solid body cause deformation. When the fluid is in motion, shear stresses are developed due to the particles in the fluid moving relative to one another.

How to Calculate Power Absorbed in Overcoming Viscous Resistance in Journal Bearing?

Power Absorbed in Overcoming Viscous Resistance in Journal Bearing calculator uses Power Absorbed = (Viscosity of Fluid*pi^3*Shaft Diameter^3*Mean Speed in RPM^2*Length of Pipe)/Thickness of Oil Film to calculate the Power Absorbed, The Power absorbed in overcoming viscous resistance in journal bearing formula is known while considering the terms from the torque required to overcome the viscous resistance and the speed which is again considered. Power Absorbed is denoted by P symbol.

How to calculate Power Absorbed in Overcoming Viscous Resistance in Journal Bearing using this online calculator? To use this online calculator for Power Absorbed in Overcoming Viscous Resistance in Journal Bearing, enter Viscosity of Fluid (μ), Shaft Diameter (D_shaft), Mean Speed in RPM (N), Length of Pipe (L) & Thickness of Oil Film (t) and hit the calculate button. Here is how the Power Absorbed in Overcoming Viscous Resistance in Journal Bearing calculation can be explained with given input values -> 283.5471 = (8.23*pi^3*3.8^3*0.09^2*3)/1.2.

FAQ

What is Power Absorbed in Overcoming Viscous Resistance in Journal Bearing?

The Power absorbed in overcoming viscous resistance in journal bearing formula is known while considering the terms from the torque required to overcome the viscous resistance and the speed which is again considered and is represented as P = (μ*pi^3*D_shaft^3*N^2*L)/t or Power Absorbed = (Viscosity of Fluid*pi^3*Shaft Diameter^3*Mean Speed in RPM^2*Length of Pipe)/Thickness of Oil Film. The Viscosity of fluid is a measure of its resistance to deformation at a given rate, Shaft Diameter is the diameter of the shaft of the pile, Mean Speed in RPM is an average of individual vehicle speeds, Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system & 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 Overcoming Viscous Resistance in Journal Bearing?

The Power absorbed in overcoming viscous resistance in journal bearing formula is known while considering the terms from the torque required to overcome the viscous resistance and the speed which is again considered is calculated using Power Absorbed = (Viscosity of Fluid*pi^3*Shaft Diameter^3*Mean Speed in RPM^2*Length of Pipe)/Thickness of Oil Film. To calculate Power Absorbed in Overcoming Viscous Resistance in Journal Bearing, you need Viscosity of Fluid (μ), Shaft Diameter (D_shaft), Mean Speed in RPM (N), Length of Pipe (L) & Thickness of Oil Film (t). With our tool, you need to enter the respective value for Viscosity of Fluid, Shaft Diameter, Mean Speed in RPM, Length of Pipe & 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.

How many ways are there to calculate Power Absorbed?

In this formula, Power Absorbed uses Viscosity of Fluid, Shaft Diameter, Mean Speed in RPM, Length of Pipe & Thickness of Oil Film. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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