Power Absorbed in Overcoming Viscous Resistance in Journal Bearing Calculator

✖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_s]			+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 = \frac{μ \cdot π^{3} \cdot {D s}^{3} \cdot N^{2} \cdot L}{t}

Example

173.9292 W = \frac{8.23 N*s/m² \cdot π^{3} \cdot {14.90078 m}^{3} \cdot {1.069076 rev/min}^{2} \cdot 3 m}{4.623171 m}

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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_s^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: 14.90078 Meter --> 14.90078 Meter No Conversion Required
Mean Speed in RPM: 1.069076 Revolution per Minute --> 0.0178179333333333 Hertz (Check conversion here)
Length of Pipe: 3 Meter --> 3 Meter No Conversion Required
Thickness of Oil Film: 4.623171 Meter --> 4.623171 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (μ*pi^3*D_s^3*N^2*L)/t --> (8.23*pi^3*14.90078^3*0.0178179333333333^2*3)/4.623171

Evaluating ... ...

P = 173.929167480431

STEP 3: Convert Result to Output's Unit

173.929167480431 Watt --> No Conversion Required

FINAL ANSWER

173.929167480431 ≈ 173.9292 Watt <-- Power Absorbed

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Mechanical » 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

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Indian Institute of Technology (IIT), Bombay

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< Flow Analysis Calculators

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)

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 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_s^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, Power Absorbed in Overcoming Viscous Resistance in Journal Bearing depends on the viscosity of the lubricant, the dimensions of the bearing (including the radius and length), the rotational speed of the shaft, and the clearance between the shaft and the bearing. The power absorption is directly proportional to the lubricant's viscosity, the bearing dimensions, the square of the rotational speed, and inversely proportional to the clearance between the shaft and the bearing. 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_s), 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 -> 173.9292 = (8.23*pi^3*14.90078^3*0.0178179333333333^2*3)/4.623171.

FAQ

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

Power Absorbed in Overcoming Viscous Resistance in Journal Bearing depends on the viscosity of the lubricant, the dimensions of the bearing (including the radius and length), the rotational speed of the shaft, and the clearance between the shaft and the bearing. The power absorption is directly proportional to the lubricant's viscosity, the bearing dimensions, the square of the rotational speed, and inversely proportional to the clearance between the shaft and the bearing and is represented as P = (μ*pi^3*D_s^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?

Power Absorbed in Overcoming Viscous Resistance in Journal Bearing depends on the viscosity of the lubricant, the dimensions of the bearing (including the radius and length), the rotational speed of the shaft, and the clearance between the shaft and the bearing. The power absorption is directly proportional to the lubricant's viscosity, the bearing dimensions, the square of the rotational speed, and inversely proportional to the clearance between the shaft and the bearing 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_s), 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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