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Absolute Viscosity from Petroff's Equation Formula

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The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied. Check FAQs

μ viscosity = \frac{μ friction \cdot ψ}{2 \cdot π^{2} \cdot (\frac{N}{P})}

μ_viscosity - Dynamic Viscosity?μ_friction - Coefficient of Friction?ψ - Diametrical Clearance Ratio or Relative Clearance?N - Shaft Speed?P - Load per Projected Area of Bearing?π - Archimedes' constant?

Absolute Viscosity from Petroff's Equation Example

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Here is how the Absolute Viscosity from Petroff's Equation equation looks like with Values.

Here is how the Absolute Viscosity from Petroff's Equation equation looks like with Units.

Here is how the Absolute Viscosity from Petroff's Equation equation looks like.

15.1982 = \frac{0.4 \cdot 0.005}{2 \cdot {3.1416}^{2} \cdot (\frac{10}{0.15})}

15.1982P = \frac{0.4 \cdot 0.005}{2 \cdot {3.1416}^{2} \cdot (\frac{10rev/s}{0.15MPa})}

15.1982 = \frac{0.4 \cdot 0.005}{2 \cdot {3.1416}^{2} \cdot (\frac{10}{0.15})}

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Absolute Viscosity from Petroff's Equation Solution

Follow our step by step solution on how to calculate Absolute Viscosity from Petroff's Equation?

FIRST Step Consider the formula

μ viscosity = \frac{μ friction \cdot ψ}{2 \cdot π^{2} \cdot (\frac{N}{P})}

Next Step Substitute values of Variables

∴

μ viscosity = \frac{0.4 \cdot 0.005}{2 \cdot π^{2} \cdot (\frac{10rev/s}{0.15MPa})}

Next Step Substitute values of Constants

∴

μ viscosity = \frac{0.4 \cdot 0.005}{2 \cdot {3.1416}^{2} \cdot (\frac{10rev/s}{0.15MPa})}

Next Step Convert Units

∴

μ viscosity = \frac{0.4 \cdot 0.005}{2 \cdot {3.1416}^{2} \cdot (\frac{10Hz}{150000Pa})}

Next Step Prepare to Evaluate

∴

μ viscosity = \frac{0.4 \cdot 0.005}{2 \cdot {3.1416}^{2} \cdot (\frac{10}{150000})}

Next Step Evaluate

∴

μ viscosity = 1.51981775463507Pa*s

Next Step Convert to Output's Unit

∴

μ viscosity = 15.1981775463507P

LAST Step Rounding Answer

∴

μ viscosity = 15.1982P

Absolute Viscosity from Petroff's Equation Formula Elements

Variables

Constants

Dynamic Viscosity

The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

Symbol: μ_viscosity

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

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.

Symbol: μ_friction

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction

Diametrical Clearance Ratio or Relative Clearance

Diametrical Clearance Ratio or Relative Clearance is the ratio of diametrical clearance to the diameter of journal.

Symbol: ψ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Diametrical Clearance Ratio or Relative Clearance

Shaft Speed

The Shaft Speed is the speed of rotation of the Shaft.

Symbol: N

Measurement: FrequencyUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Shaft Speed

Load per Projected Area of Bearing

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.

Symbol: P

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Load per Projected Area of Bearing

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Tribology category

Go Petroffs Equation for Coefficient of Friction

μ friction = 2 \cdot π^{2} \cdot μ viscosity \cdot (\frac{N}{P}) \cdot (\frac{1}{ψ})

Go Load per Projected Area of Bearing from Petroff's Equation

P = 2 \cdot π^{2} \cdot (\frac{μ viscosity}{μ friction}) \cdot (\frac{N}{ψ})

Go Diametrical Clearance Ratio or Relative Clearance from Petroff's Equaiton

ψ = 2 \cdot π^{2} \cdot (\frac{μ viscosity}{μ friction}) \cdot (\frac{N}{P})

How to Evaluate Absolute Viscosity from Petroff's Equation?

Absolute Viscosity from Petroff's Equation evaluator uses Dynamic Viscosity = (Coefficient of Friction*Diametrical Clearance Ratio or Relative Clearance)/(2*pi^2*(Shaft Speed/Load per Projected Area of Bearing)) to evaluate 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 evaluate Absolute Viscosity from Petroff's Equation using this online evaluator? To use this online evaluator 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.

FAQs on Absolute Viscosity from Petroff's Equation

What is the formula to find Absolute Viscosity from Petroff's Equation?

The formula of Absolute Viscosity from Petroff's Equation is expressed as Dynamic Viscosity = (Coefficient of Friction*Diametrical Clearance Ratio or Relative Clearance)/(2*pi^2*(Shaft Speed/Load per Projected Area of Bearing)). Here is an example- 151.9818 = (0.4*0.005)/(2*pi^2*(10/150000)).

How to calculate Absolute Viscosity from Petroff's Equation?

With Coefficient of Friction (μ_friction), Diametrical Clearance Ratio or Relative Clearance (ψ), Shaft Speed (N) & Load per Projected Area of Bearing (P) we can find Absolute Viscosity from Petroff's Equation using the formula - Dynamic Viscosity = (Coefficient of Friction*Diametrical Clearance Ratio or Relative Clearance)/(2*pi^2*(Shaft Speed/Load per Projected Area of Bearing)). This formula also uses Archimedes' constant .

Can the Absolute Viscosity from Petroff's Equation be negative?

No, the Absolute Viscosity from Petroff's Equation, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Absolute Viscosity from Petroff's Equation?

Absolute Viscosity from Petroff's Equation is usually measured using the Poise[P] for Dynamic Viscosity. Pascal Second[P], Newton Second per Square Meter[P], Millinewton Second per Square Meter[P] are the few other units in which Absolute Viscosity from Petroff's Equation can be measured.

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Absolute Viscosity from Petroff's Equation Formula

Absolute Viscosity from Petroff's Equation Example

Absolute Viscosity from Petroff's Equation Solution

Absolute Viscosity from Petroff's Equation Formula Elements

Other formulas in Tribology category

How to Evaluate Absolute Viscosity from Petroff's Equation?

FAQs on Absolute Viscosity from Petroff's Equation

Variable Name