Thickness of Oil Film for Speed and Diameter of Shaft 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%
✖Shear Stress is a type of stress that acts coplanar with a cross-section of material.ⓘ Shear Stress [𝜏]			+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 for Speed and Diameter of Shaft in Journal Bearing [t]

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Formula

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Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing

Formula

t = \frac{μ \cdot π \cdot D s \cdot N}{𝜏}

Example

0.915282 m = \frac{8.23 N*s/m² \cdot π \cdot 14.90078 m \cdot 1.069076 rev/min}{7.5 N/m²}

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Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Oil Film = (Viscosity of Fluid*pi*Shaft Diameter*Mean Speed in RPM)/(Shear Stress)
t = (μ*pi*D_s*N)/(𝜏)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Shear Stress - (Measured in Pascal) - Shear Stress is a type of stress that acts coplanar with a cross-section of material.

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)
Shear Stress: 7.5 Newton per Square Meter --> 7.5 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (μ*pi*D_s*N)/(𝜏) --> (8.23*pi*14.90078*0.0178179333333333)/(7.5)

Evaluating ... ...

t = 0.915281695040307

STEP 3: Convert Result to Output's Unit

0.915281695040307 Meter --> No Conversion Required

FINAL ANSWER

0.915281695040307 ≈ 0.915282 Meter <-- Thickness of Oil Film

(Calculation completed in 00.004 seconds)

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Home » Physics » Fluid Mechanics » Viscous Flow » Mechanical » Dimensions and Geometry » Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing

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PSG College of Technology (PSGCT), Coimbatore

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< Dimensions and Geometry Calculators

Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates

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

Length for Difference of Pressure in Viscous Flow between Two Parallel Plates

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

Diameter of Shaft for Torque Required in Foot-Step Bearing

Go Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)

Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

Go Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity)

Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing Formula

Thickness of Oil Film = (Viscosity of Fluid*pi*Shaft Diameter*Mean Speed in RPM)/(Shear Stress)
t = (μ*pi*D_s*N)/(𝜏)

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 stress 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. For a fluid flowing in a pipe, fluid velocity will be zero at the pipe wall.

How to Calculate Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing?

Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing calculator uses Thickness of Oil Film = (Viscosity of Fluid*pi*Shaft Diameter*Mean Speed in RPM)/(Shear Stress) to calculate the Thickness of Oil Film, Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing, which relates to the speed and diameter of the shaft, can be estimated using empirical formulas that consider factors such as the viscosity of the oil, the rotational speed of the shaft, and the dimensions of the bearing. This calculation ensures that the oil film thickness is adequate to provide lubrication and minimize friction between the shaft and the bearing surfaces, thereby maintaining efficient operation of the journal bearing. Thickness of Oil Film is denoted by t symbol.

How to calculate Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing using this online calculator? To use this online calculator for Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing, enter Viscosity of Fluid (μ), Shaft Diameter (D_s), Mean Speed in RPM (N) & Shear Stress (𝜏) and hit the calculate button. Here is how the Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing calculation can be explained with given input values -> 4.623171 = (8.23*pi*14.90078*0.0178179333333333)/(7.5).

FAQ

What is Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing?

Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing, which relates to the speed and diameter of the shaft, can be estimated using empirical formulas that consider factors such as the viscosity of the oil, the rotational speed of the shaft, and the dimensions of the bearing. This calculation ensures that the oil film thickness is adequate to provide lubrication and minimize friction between the shaft and the bearing surfaces, thereby maintaining efficient operation of the journal bearing and is represented as t = (μ*pi*D_s*N)/(𝜏) or Thickness of Oil Film = (Viscosity of Fluid*pi*Shaft Diameter*Mean Speed in RPM)/(Shear Stress). 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 & Shear Stress is a type of stress that acts coplanar with a cross-section of material.

How to calculate Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing?

Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing, which relates to the speed and diameter of the shaft, can be estimated using empirical formulas that consider factors such as the viscosity of the oil, the rotational speed of the shaft, and the dimensions of the bearing. This calculation ensures that the oil film thickness is adequate to provide lubrication and minimize friction between the shaft and the bearing surfaces, thereby maintaining efficient operation of the journal bearing is calculated using Thickness of Oil Film = (Viscosity of Fluid*pi*Shaft Diameter*Mean Speed in RPM)/(Shear Stress). To calculate Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing, you need Viscosity of Fluid (μ), Shaft Diameter (D_s), Mean Speed in RPM (N) & Shear Stress (𝜏). With our tool, you need to enter the respective value for Viscosity of Fluid, Shaft Diameter, Mean Speed in RPM & Shear Stress 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 Thickness of Oil Film?

In this formula, Thickness of Oil Film uses Viscosity of Fluid, Shaft Diameter, Mean Speed in RPM & Shear Stress. We can use 2 other way(s) to calculate the same, which is/are as follows -

Thickness of Oil Film = (Viscosity of Fluid*pi^2*Shaft Diameter^2*Mean Speed in RPM*Length of Pipe)/(Shear Force)
Thickness of Oil Film = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Torque Exerted on Wheel

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