Oil Film Thickness at any Position in Journal Bearing Solution

STEP 0: Pre-Calculation Summary
Formula Used
Oil Film Thickness at any Position θ = Radial Clearance*(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film))
h = c*(1+ε*cos(θ))
This formula uses 1 Functions, 4 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Oil Film Thickness at any Position θ - (Measured in Meter) - Oil Film Thickness at any Position θ is the thickness of the film at a desired position from the position of minimum film thickness.
Radial Clearance - (Measured in Meter) - The Radial Clearance is a measured value of the total movement of one ring relative to the other in a plane perpendicular to the bearing axis.
Eccentricity Ratio - Eccentricity Ratio is the ratio of the eccentricity of the bearing inner race to the radial clearance.
Angle Measured from Point of Minimum of Oil Film - (Measured in Radian) - Angle Measured from Point of Minimum of Oil Film to any point of interest in the direction of rotation.
STEP 1: Convert Input(s) to Base Unit
Radial Clearance: 0.082 Meter --> 0.082 Meter No Conversion Required
Eccentricity Ratio: 0.8 --> No Conversion Required
Angle Measured from Point of Minimum of Oil Film: 0.52 Radian --> 0.52 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = c*(1+ε*cos(θ)) --> 0.082*(1+0.8*cos(0.52))
Evaluating ... ...
h = 0.138928938186854
STEP 3: Convert Result to Output's Unit
0.138928938186854 Meter --> No Conversion Required
FINAL ANSWER
0.138928938186854 0.138929 Meter <-- Oil Film Thickness at any Position θ
(Calculation completed in 00.004 seconds)

Credits

National Institute of Technology Calicut (NIT Calicut), Calicut, Kerala
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9 Vertical Shaft Rotating in Guide Bearing Calculators

Radial Clearance given Eccentricity Ratio and Thickness of Film at any Position
Go Radial Clearance = Oil Film Thickness at any Position θ/(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film))
Eccentricity Ratio given Radial Clearance and Film Thickness at any Position
Go Eccentricity Ratio = (Oil Film Thickness at any Position θ/Radial Clearance-1)/cos(Angle Measured from Point of Minimum of Oil Film)
Oil Film Thickness at any Position in Journal Bearing
Go Oil Film Thickness at any Position θ = Radial Clearance*(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film))
Journal Diameter given Angular Length of Bearing and Length of Bearing in Direction of Motion
Go Shaft Diameter = (2*Length of Bearing in Direction of Motion)/(Angular or Circumferential Length of Bearing)
Angular Length of Bearing given Length of Bearing in Direction of Motion
Go Angular or Circumferential Length of Bearing = (2*Length of Bearing in Direction of Motion)/(Shaft Diameter)
Length of Bearing in Direction of Motion
Go Length of Bearing in Direction of Motion = (Shaft Diameter*Angular or Circumferential Length of Bearing)/2
Speed of Shaft given Diameter of Shaft and Surface Velocity of Shaft
Go Shaft Speed = Surface Velocity of Shaft/(pi*Shaft Diameter)
Diameter of Shaft given Shaft Speed and Surface Velocity of Shaft
Go Shaft Diameter = Surface Velocity of Shaft/(pi*Shaft Speed)
Surface Velocity of Shaft given Shaft Speed and Diameter
Go Surface Velocity of Shaft = pi*Shaft Diameter*Shaft Speed

Oil Film Thickness at any Position in Journal Bearing Formula

Oil Film Thickness at any Position θ = Radial Clearance*(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film))
h = c*(1+ε*cos(θ))

How are bearings classified?

Depending upon the direction of load to be supported, the bearings can be classified as Radial and Thrust bearings. In radial bearings, the load acts perpendicular to the direction of motion of the moving element. In thrust bearings, the load acts along the axis of rotation. Depending upon the nature of contact, the bearings can be classified as sliding contact and rolling contact bearings. In sliding contact bearings, the sliding takes place along the surfaces of contact between the moving element and the fixed element. The sliding contact bearings are also known as plain bearings. In rolling contact bearings, the steel balls or rollers, are interposed between the moving and fixed elements. The balls offer rolling friction at two points for each ball or roller.

How are sliding contact bearings classified?

The sliding contact bearings in which the sliding action is guided in a straight line and carrying radial loads may be called slipper or guide bearings and those in which the sliding action is along the circumference of a circle or an arc of a circle are known as journal or sleeve bearings. When the angle of contact of the bearing with the journal is 360° then the bearing is called a full journal bearing and is used to accommodate bearing loads in any radial direction. When the angle of contact of the bearing with the journal is 120°, then the bearing is said to be partial journal bearing. This type of bearing has less friction than full journal bearing, but it can be used only where the load is always in one direction. The full and partial journal bearings may be called as clearance bearings because the diameter of the journal is less than that of bearing. When a partial journal bearing has no clearance i.e. the diameters of the journal and bearing are equal, then the bearing is called a fitted bearing.

How to Calculate Oil Film Thickness at any Position in Journal Bearing?

Oil Film Thickness at any Position in Journal Bearing calculator uses Oil Film Thickness at any Position θ = Radial Clearance*(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film)) to calculate the Oil Film Thickness at any Position θ, Oil film thickness at any position in journal bearing formula is used to find the film thickness in a journal bearing at a given position when eccentricity ratio and radial clearance are known. Oil Film Thickness at any Position θ is denoted by h symbol.

How to calculate Oil Film Thickness at any Position in Journal Bearing using this online calculator? To use this online calculator for Oil Film Thickness at any Position in Journal Bearing, enter Radial Clearance (c), Eccentricity Ratio (ε) & Angle Measured from Point of Minimum of Oil Film (θ) and hit the calculate button. Here is how the Oil Film Thickness at any Position in Journal Bearing calculation can be explained with given input values -> 0.138929 = 0.082*(1+0.8*cos(0.52)).

FAQ

What is Oil Film Thickness at any Position in Journal Bearing?
Oil film thickness at any position in journal bearing formula is used to find the film thickness in a journal bearing at a given position when eccentricity ratio and radial clearance are known and is represented as h = c*(1+ε*cos(θ)) or Oil Film Thickness at any Position θ = Radial Clearance*(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film)). The Radial Clearance is a measured value of the total movement of one ring relative to the other in a plane perpendicular to the bearing axis, Eccentricity Ratio is the ratio of the eccentricity of the bearing inner race to the radial clearance & Angle Measured from Point of Minimum of Oil Film to any point of interest in the direction of rotation.
How to calculate Oil Film Thickness at any Position in Journal Bearing?
Oil film thickness at any position in journal bearing formula is used to find the film thickness in a journal bearing at a given position when eccentricity ratio and radial clearance are known is calculated using Oil Film Thickness at any Position θ = Radial Clearance*(1+Eccentricity Ratio*cos(Angle Measured from Point of Minimum of Oil Film)). To calculate Oil Film Thickness at any Position in Journal Bearing, you need Radial Clearance (c), Eccentricity Ratio (ε) & Angle Measured from Point of Minimum of Oil Film (θ). With our tool, you need to enter the respective value for Radial Clearance, Eccentricity Ratio & Angle Measured from Point of Minimum 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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