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Flow of Lubricant through slot in Terms of Pressure Difference Formula

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Flow of lubricant from slot can be defined as the amount of lubricant flowing per unit time between the slots. 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.

15.7765 = 5.1 \cdot 49 \cdot \frac{{0.02}^{3}}{12 \cdot 220 \cdot 48}

15.7765mm³/s = 5.1MPa \cdot 49mm \cdot \frac{{0.02mm}^{3}}{12 \cdot 220cP \cdot 48mm}

15.7765 = 5.1 \cdot 49 \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 49mm \cdot \frac{{0.02mm}^{3}}{12 \cdot 220cP \cdot 48mm}

Next Step Convert Units

∴

Q slot = 5.1E+6Pa \cdot 0.049m \cdot \frac{{2E-5m}^{3}}{12 \cdot 0.22Pa*s \cdot 0.048m}

Next Step Prepare to Evaluate

∴

Q slot = 5.1E+6 \cdot 0.049 \cdot \frac{{2E-5}^{3}}{12 \cdot 0.22 \cdot 0.048}

Next Step Evaluate

∴

Q slot = 1.57765151515152E-08m³/s

Next Step Convert to Output's Unit

∴

Q slot = 15.7765151515152mm³/s

LAST Step Rounding Answer

∴

Q slot = 15.7765mm³/s

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

Variables

Flow of lubricant from slot

Flow of lubricant from slot can be defined as the amount of lubricant flowing per unit time between the slots.

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

Pressure difference between slot sides is the difference in pressure intensities at two different sides of the slot.

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

Breadth of slot for oil flow is defined as the length of the rectangular slot in a plane perpendicular to the direction of flow.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Breadth of slot for oil flow

Oil film thickness

Oil film thickness is defined as the thickness of the oil film between the two parts in relative motion.

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 the resistance to movement of one layer of fluid over another.

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

Length of slot in direction of flow is the length of the rectangular slot through which viscous oil flows.

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, The Flow of Lubricant through slot in Terms of Pressure Difference formula is defined as ratio of product of pressure difference, dimension b of slot, and cube of fluid film thickness to value of 12 times product of viscosity of lubricant and length of slot. 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*0.049*(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

Variable Name