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Flow of Lubricant through slot in Terms of Pressure Difference Formula

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The Flow of Lubricant from Slot is the rate at which lubricant is delivered from a slot in a hydrostatic bearing, ensuring proper lubrication and reducing friction. Check FAQs

Q slot = ΔP \cdot b \cdot \frac{h^{3}}{12 \cdot μ l \cdot l}

Q_slot - Flow of Lubricant from Slot?ΔP - Pressure Difference between Slot Sides?b - Breadth of Slot for Oil Flow?h - Oil Film thickness?μ_l - Dynamic Viscosity of Lubricant?l - Length of Slot in Direction of Flow?

Flow of Lubricant through slot in Terms of Pressure Difference Example

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Here is how the Flow of Lubricant through slot in Terms of Pressure Difference equation looks like with Values.

Here is how the Flow of Lubricant through slot in Terms of Pressure Difference equation looks like with Units.

Here is how the Flow of Lubricant through slot in Terms of Pressure Difference equation looks like.

15 = 5.1 \cdot 46.5882 \cdot \frac{{0.02}^{3}}{12 \cdot 220 \cdot 48}

15mm³/s = 5.1MPa \cdot 46.5882mm \cdot \frac{{0.02mm}^{3}}{12 \cdot 220cP \cdot 48mm}

15 = 5.1 \cdot 46.5882 \cdot \frac{{0.02}^{3}}{12 \cdot 220 \cdot 48}

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Flow of Lubricant through slot in Terms of Pressure Difference Solution

Follow our step by step solution on how to calculate Flow of Lubricant through slot in Terms of Pressure Difference?

FIRST Step Consider the formula

Q slot = ΔP \cdot b \cdot \frac{h^{3}}{12 \cdot μ l \cdot l}

Next Step Substitute values of Variables

∴

Q slot = 5.1MPa \cdot 46.5882mm \cdot \frac{{0.02mm}^{3}}{12 \cdot 220cP \cdot 48mm}

Next Step Convert Units

∴

Q slot = 5.1E+6Pa \cdot 0.0466m \cdot \frac{{2E-5m}^{3}}{12 \cdot 0.22Pa*s \cdot 0.048m}

Next Step Prepare to Evaluate

∴

Q slot = 5.1E+6 \cdot 0.0466 \cdot \frac{{2E-5}^{3}}{12 \cdot 0.22 \cdot 0.048}

Next Step Evaluate

∴

Q slot = 1.50000015151515E-08m³/s

Next Step Convert to Output's Unit

∴

Q slot = 15.0000015151515mm³/s

LAST Step Rounding Answer

∴

Q slot = 15mm³/s

Flow of Lubricant through slot in Terms of Pressure Difference Formula Elements

Variables

Flow of Lubricant from Slot

The Flow of Lubricant from Slot is the rate at which lubricant is delivered from a slot in a hydrostatic bearing, ensuring proper lubrication and reducing friction.

Symbol: Q_slot

Measurement: Volumetric Flow RateUnit: mm³/s

Note: Value should be greater than 0.

Formulas to find Flow of Lubricant from Slot

Pressure Difference between Slot Sides

The Pressure Difference between Slot Sides is the variation in pressure across the sides of a slot, influencing the performance and stability of hydrostatic bearings.

Symbol: ΔP

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Pressure Difference between Slot Sides

Breadth of Slot for Oil Flow

The Breadth of Slot for Oil Flow is the width of the channel that allows oil to flow in a hydrostatic bearing, influencing lubrication and performance.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Breadth of Slot for Oil Flow

Oil Film thickness

The Oil Film thickness is the measurement of the layer of lubricant between two surfaces in contact, crucial for reducing friction and wear in sliding contact bearings.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Oil Film thickness

Dynamic Viscosity of Lubricant

The Dynamic Viscosity of Lubricant is a measure of a lubricant's resistance to flow, influencing the performance and efficiency of sliding contact bearings in mechanical systems.

Symbol: μ_l

Measurement: Dynamic ViscosityUnit: cP

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity of Lubricant

Length of Slot in Direction of Flow

The Length of Slot in Direction of Flow is the measurement of the slot's length that aligns with the fluid flow in a hydrostatic bearing design.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Slot in Direction of Flow

Other formulas in Hydrostatic Step Bearing with Pad category

Go Length of Slot in Direction of Flow in Terms of Flow of Lubricant

l = ΔP \cdot b \cdot \frac{h^{3}}{12 \cdot μ l \cdot Q slot}

Go Dimension b of Slot given Flow of Lubricant

b = l \cdot 12 \cdot μ l \cdot \frac{Q slot}{(h^{3}) \cdot ΔP}

Go Total Projected Area of Bearing Pad

A p = X \cdot Y

Go Dimension X in Terms of Total Projected Area of Bearing Pad

X = \frac{A p}{Y}

How to Evaluate Flow of Lubricant through slot in Terms of Pressure Difference?

Flow of Lubricant through slot in Terms of Pressure Difference evaluator uses Flow of Lubricant from Slot = Pressure Difference between Slot Sides*Breadth of Slot for Oil Flow*(Oil Film thickness^3)/(12*Dynamic Viscosity of Lubricant*Length of Slot in Direction of Flow) to evaluate the Flow of Lubricant from Slot, Flow of Lubricant through slot in Terms of Pressure Difference formula is defined as a method to evaluate the lubricant flow rate through a slot based on the pressure difference, slot width, lubricant viscosity, and length. This is crucial for optimizing the performance of sliding contact bearings. Flow of Lubricant from Slot is denoted by Q_slot symbol.

How to evaluate Flow of Lubricant through slot in Terms of Pressure Difference using this online evaluator? To use this online evaluator for Flow of Lubricant through slot in Terms of Pressure Difference, enter Pressure Difference between Slot Sides (ΔP), Breadth of Slot for Oil Flow (b), Oil Film thickness (h), Dynamic Viscosity of Lubricant (μ_l) & Length of Slot in Direction of Flow (l) and hit the calculate button.

FAQs on Flow of Lubricant through slot in Terms of Pressure Difference

What is the formula to find Flow of Lubricant through slot in Terms of Pressure Difference?

The formula of Flow of Lubricant through slot in Terms of Pressure Difference is expressed as Flow of Lubricant from Slot = Pressure Difference between Slot Sides*Breadth of Slot for Oil Flow*(Oil Film thickness^3)/(12*Dynamic Viscosity of Lubricant*Length of Slot in Direction of Flow). Here is an example- 1.6E+10 = 5100000*0.04658824*(2E-05^3)/(12*0.22*0.048).

How to calculate Flow of Lubricant through slot in Terms of Pressure Difference?

With Pressure Difference between Slot Sides (ΔP), Breadth of Slot for Oil Flow (b), Oil Film thickness (h), Dynamic Viscosity of Lubricant (μ_l) & Length of Slot in Direction of Flow (l) we can find Flow of Lubricant through slot in Terms of Pressure Difference using the formula - Flow of Lubricant from Slot = Pressure Difference between Slot Sides*Breadth of Slot for Oil Flow*(Oil Film thickness^3)/(12*Dynamic Viscosity of Lubricant*Length of Slot in Direction of Flow).

Can the Flow of Lubricant through slot in Terms of Pressure Difference be negative?

No, the Flow of Lubricant through slot in Terms of Pressure Difference, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Flow of Lubricant through slot in Terms of Pressure Difference?

Flow of Lubricant through slot in Terms of Pressure Difference is usually measured using the Cubic Millimeter per Second[mm³/s] for Volumetric Flow Rate. Cubic Meter per Second[mm³/s], Cubic Meter per Day[mm³/s], Cubic Meter per Hour[mm³/s] are the few other units in which Flow of Lubricant through slot in Terms of Pressure Difference can be measured.

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Flow of Lubricant through slot in Terms of Pressure Difference Formula

Flow of Lubricant through slot in Terms of Pressure Difference Example

Flow of Lubricant through slot in Terms of Pressure Difference Solution

Flow of Lubricant through slot in Terms of Pressure Difference Formula Elements

Other formulas in Hydrostatic Step Bearing with Pad category

How to Evaluate Flow of Lubricant through slot in Terms of Pressure Difference?

FAQs on Flow of Lubricant through slot in Terms of Pressure Difference

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