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Dimension b of Slot given Flow of Lubricant Formula

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

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

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

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

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

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

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

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, The Dimension b of Slot given Flow of Lubricant formula is defined as the ratio product of 12 times the value of length of the slot, viscosity of lubricant, and flow of lubricant to the product of cube of film thickness and pressure difference. 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