## 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))
μviscosity = (μfriction*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
μviscosity = (μfriction*ψ)/(2*pi^2*(N/P)) --> (0.4*0.005)/(2*pi^2*(10/150000))
Evaluating ... ...
μviscosity = 1.51981775463507
STEP 3: Convert Result to Output's Unit
1.51981775463507 Pascal Second -->15.1981775463507 Poise (Check conversion ​here)
15.1981775463507 15.19818 Poise <-- Dynamic Viscosity
(Calculation completed in 00.007 seconds)
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## <Tribology Calculators

Petroffs Equation for Coefficient of Friction
​ 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
​ 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
​ 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
​ 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

Dynamic Viscosity = (Coefficient of Friction*Diametrical Clearance Ratio or Relative Clearance)/(2*pi^2*(Shaft Speed/Load per Projected Area of Bearing))
μviscosity = (μfriction*ψ)/(2*pi^2*(N/P))

## 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, The Absolute viscosity from Petroff's equation formula can be used to obtain the absolute viscosity (dynamic viscosity) from Petroff's equation when the other terms are known. Dynamic Viscosity is denoted by μviscosity 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 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 -> 75.99089 = (0.4*0.005)/(2*pi^2*(10/150000)).

### FAQ

What is Absolute Viscosity from Petroff's Equation?
The Absolute viscosity from Petroff's equation formula can be used to obtain the absolute viscosity (dynamic viscosity) from Petroff's equation when the other terms are known and is represented as μviscosity = (μfriction*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?
The Absolute viscosity from Petroff's equation formula can be used to obtain the absolute viscosity (dynamic viscosity) from Petroff's equation when the other terms are known 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 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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