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Dimension b of Slot given Flow of Lubricant Formula

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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. Check FAQs

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

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

Dimension b of Slot given Flow of Lubricant Example

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Here is how the Dimension b of Slot given Flow of Lubricant equation looks like with Values.

Here is how the Dimension b of Slot given Flow of Lubricant equation looks like with Units.

Here is how the Dimension b of Slot given Flow of Lubricant equation looks like.

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

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

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

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Dimension b of Slot given Flow of Lubricant Solution

Follow our step by step solution on how to calculate Dimension b of Slot given Flow of Lubricant?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

b = 0.048m \cdot 12 \cdot 0.22Pa*s \cdot \frac{1.5E-8m³/s}{({2E-5m}^{3}) \cdot 5.1E+6Pa}

Next Step Prepare to Evaluate

∴

b = 0.048 \cdot 12 \cdot 0.22 \cdot \frac{1.5E-8}{({2E-5}^{3}) \cdot 5.1E+6}

Next Step Evaluate

∴

b = 0.0465882352941176m

Next Step Convert to Output's Unit

∴

b = 46.5882352941176mm

LAST Step Rounding Answer

∴

b = 46.5882mm

Dimension b of Slot given Flow of Lubricant Formula Elements

Variables

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

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

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

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

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

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

Other formulas in Hydrostatic Step Bearing with Pad category

Go Flow of Lubricant through slot in Terms of Pressure Difference

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

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 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 Dimension b of Slot given Flow of Lubricant?

Dimension b of Slot given Flow of Lubricant evaluator uses Breadth of Slot for Oil Flow = Length of Slot in Direction of Flow*12*Dynamic Viscosity of Lubricant*Flow of Lubricant from Slot/((Oil Film thickness^3)*Pressure Difference between Slot Sides) to evaluate the Breadth of Slot for Oil Flow, Dimension b of Slot given Flow of Lubricant formula is defined as a method to determine the width of a slot in a hydrostatic bearing. This width is essential for ensuring adequate lubricant flow and maintaining optimal performance in sliding contact applications. Breadth of Slot for Oil Flow is denoted by b symbol.

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

FAQs on Dimension b of Slot given Flow of Lubricant

What is the formula to find Dimension b of Slot given Flow of Lubricant?

The formula of Dimension b of Slot given Flow of Lubricant is expressed as Breadth of Slot for Oil Flow = Length of Slot in Direction of Flow*12*Dynamic Viscosity of Lubricant*Flow of Lubricant from Slot/((Oil Film thickness^3)*Pressure Difference between Slot Sides). Here is an example- 46588.24 = 0.048*12*0.22*1.5E-08/((2E-05^3)*5100000).

How to calculate Dimension b of Slot given Flow of Lubricant?

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

Can the Dimension b of Slot given Flow of Lubricant be negative?

No, the Dimension b of Slot given Flow of Lubricant, measured in Length cannot be negative.

Which unit is used to measure Dimension b of Slot given Flow of Lubricant?

Dimension b of Slot given Flow of Lubricant is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Dimension b of Slot given Flow of Lubricant can be measured.

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Dimension b of Slot given Flow of Lubricant Formula

Dimension b of Slot given Flow of Lubricant Example

Dimension b of Slot given Flow of Lubricant Solution

Dimension b of Slot given Flow of Lubricant Formula Elements

Other formulas in Hydrostatic Step Bearing with Pad category

How to Evaluate Dimension b of Slot given Flow of Lubricant?

FAQs on Dimension b of Slot given Flow of Lubricant

Variable Name