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Absolute Viscosity from Petroff's Equation Calculator

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Vertical Shaft Rotating in Guide Bearing

✖The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of Friction [μ_friction]			+10% -10%
✖Diametrical Clearance Ratio or Relative Clearance is the ratio of diametrical clearance to the diameter of journal.ⓘ Diametrical Clearance Ratio or Relative Clearance [ψ]			+10% -10%
✖The Shaft Speed is the speed of rotation of the Shaft.ⓘ Shaft Speed [N]			+10% -10%
✖Load per Projected Area of Bearing is defined as the load that is acting on the projected area of the bearing which is the product of Axial length of bearing and Journal diameter.ⓘ Load per Projected Area of Bearing [P]			+10% -10%

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Absolute Viscosity from Petroff's Equation [μ_viscosity]

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Absolute Viscosity from Petroff's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Dynamic Viscosity = (Coefficient of Friction*Diametrical Clearance Ratio or Relative Clearance)/(2*pi^2*(Shaft Speed/Load per Projected Area of Bearing))
μ_viscosity = (μ_friction*ψ)/(2*pi^2*(N/P))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Diametrical Clearance Ratio or Relative Clearance - Diametrical Clearance Ratio or Relative Clearance is the ratio of diametrical clearance to the diameter of journal.
Shaft Speed - (Measured in Hertz) - The Shaft Speed is the speed of rotation of the Shaft.
Load per Projected Area of Bearing - (Measured in Pascal) - Load per Projected Area of Bearing is defined as the load that is acting on the projected area of the bearing which is the product of Axial length of bearing and Journal diameter.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction: 0.4 --> No Conversion Required
Diametrical Clearance Ratio or Relative Clearance: 0.005 --> No Conversion Required
Shaft Speed: 10 Revolution per Second --> 10 Hertz (Check conversion here)
Load per Projected Area of Bearing: 0.15 Megapascal --> 150000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_viscosity = (μ_friction*ψ)/(2*pi^2*(N/P)) --> (0.4*0.005)/(2*pi^2*(10/150000))

Evaluating ... ...

μ_viscosity = 1.51981775463507

STEP 3: Convert Result to Output's Unit

1.51981775463507 Pascal Second -->15.1981775463507 Poise (Check conversion here)

FINAL ANSWER

15.1981775463507 ≈ 15.19818 Poise <-- Dynamic Viscosity

(Calculation completed in 00.004 seconds)

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< Tribology Calculators

Petroffs Equation for Coefficient of Friction

LaTeX Go Coefficient of Friction = 2*pi^2*Dynamic Viscosity*(Shaft Speed/Load per Projected Area of Bearing)*(1/Diametrical Clearance Ratio or Relative Clearance)

Absolute Viscosity from Petroff's Equation

LaTeX Go Dynamic Viscosity = (Coefficient of Friction*Diametrical Clearance Ratio or Relative Clearance)/(2*pi^2*(Shaft Speed/Load per Projected Area of Bearing))

Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton

LaTeX Go Diametrical Clearance Ratio or Relative Clearance = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Load per Projected Area of Bearing)

Load per Projected Area of Bearing from Petroff's Equation

LaTeX Go Load per Projected Area of Bearing = 2*pi^2*(Dynamic Viscosity/Coefficient of Friction)*(Shaft Speed/Diametrical Clearance Ratio or Relative Clearance)

Absolute Viscosity from Petroff's Equation Formula

LaTeX Go

What is petroff's equation?

Petroff's equation gives the coefficient of friction in journal bearings. It is based on the following assumptions. It assumes that the shaft (journal) and the bearing are concentric. The bearing is subjected to a light load.

What is the significance of petroff's equation?

Petroff's equation indicates that there are two important dimensionless parameters (r/c) and (µn/P) that govern the coefficient of friction and other friction properties like frictional torque, frictional power loss and temperature rise in the bearing.

How to Calculate Absolute Viscosity from Petroff's Equation?

Absolute Viscosity from Petroff's Equation calculator uses Dynamic Viscosity = (Coefficient of Friction*Diametrical Clearance Ratio or Relative Clearance)/(2*pi^2*(Shaft Speed/Load per Projected Area of Bearing)) to calculate the Dynamic Viscosity, Absolute Viscosity from Petroff's Equation formula is defined as a measure of a fluid's internal resistance to flow, which is a critical parameter in tribology, describing the fluid's thickness and stickiness, and its ability to resist shear stress. Dynamic Viscosity is denoted by μ_viscosity symbol.

How to calculate Absolute Viscosity from Petroff's Equation using this online calculator? To use this online calculator for Absolute Viscosity from Petroff's Equation, enter Coefficient of Friction (μ_friction), Diametrical Clearance Ratio or Relative Clearance (ψ), Shaft Speed (N) & Load per Projected Area of Bearing (P) and hit the calculate button. Here is how the Absolute Viscosity from Petroff's Equation calculation can be explained with given input values -> 151.9818 = (0.4*0.005)/(2*pi^2*(10/150000)).

FAQ

What is Absolute Viscosity from Petroff's Equation?

Absolute Viscosity from Petroff's Equation formula is defined as a measure of a fluid's internal resistance to flow, which is a critical parameter in tribology, describing the fluid's thickness and stickiness, and its ability to resist shear stress and is represented as μ_viscosity = (μ_friction*ψ)/(2*pi^2*(N/P)) or Dynamic Viscosity = (Coefficient of Friction*Diametrical Clearance Ratio or Relative Clearance)/(2*pi^2*(Shaft Speed/Load per Projected Area of Bearing)). The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it, Diametrical Clearance Ratio or Relative Clearance is the ratio of diametrical clearance to the diameter of journal, The Shaft Speed is the speed of rotation of the Shaft & Load per Projected Area of Bearing is defined as the load that is acting on the projected area of the bearing which is the product of Axial length of bearing and Journal diameter.

How to calculate Absolute Viscosity from Petroff's Equation?

Absolute Viscosity from Petroff's Equation formula is defined as a measure of a fluid's internal resistance to flow, which is a critical parameter in tribology, describing the fluid's thickness and stickiness, and its ability to resist shear stress is calculated using Dynamic Viscosity = (Coefficient of Friction*Diametrical Clearance Ratio or Relative Clearance)/(2*pi^2*(Shaft Speed/Load per Projected Area of Bearing)). To calculate Absolute Viscosity from Petroff's Equation, you need Coefficient of Friction (μ_friction), Diametrical Clearance Ratio or Relative Clearance (ψ), Shaft Speed (N) & Load per Projected Area of Bearing (P). With our tool, you need to enter the respective value for Coefficient of Friction, Diametrical Clearance Ratio or Relative Clearance, Shaft Speed & Load per Projected Area of Bearing 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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