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

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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. Check FAQs

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

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

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

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Here is how the Length of Slot in Direction of Flow in Terms of Flow of Lubricant equation looks like with Values.

Here is how the Length of Slot in Direction of Flow in Terms of Flow of Lubricant equation looks like with Units.

Here is how the Length of Slot in Direction of Flow in Terms of Flow of Lubricant equation looks like.

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

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

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

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

Follow our step by step solution on how to calculate Length of Slot in Direction of Flow in Terms of Flow of Lubricant?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

l = 5.1E+6Pa \cdot 0.0466m \cdot \frac{{2E-5m}^{3}}{12 \cdot 0.22Pa*s \cdot 1.5E-8m³/s}

Next Step Prepare to Evaluate

∴

l = 5.1E+6 \cdot 0.0466 \cdot \frac{{2E-5}^{3}}{12 \cdot 0.22 \cdot 1.5E-8}

Next Step Evaluate

∴

l = 0.0480000048484849m

Next Step Convert to Output's Unit

∴

l = 48.0000048484849mm

LAST Step Rounding Answer

∴

l = 48mm

Length of Slot in Direction of Flow in Terms of Flow of Lubricant Formula Elements

Variables

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

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

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

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

Length of Slot in Direction of Flow in Terms of Flow of Lubricant evaluator uses Length of Slot in Direction of Flow = Pressure Difference between Slot Sides*Breadth of Slot for Oil Flow*(Oil Film thickness^3)/(12*Dynamic Viscosity of Lubricant*Flow of Lubricant from Slot) to evaluate the Length of Slot in Direction of Flow, Length of Slot in Direction of Flow in Terms of Flow of Lubricant formula is defined as a measure that relates the dimensions of a slot to the flow characteristics of lubricant, ensuring optimal performance and efficiency in hydrostatic step bearings within mechanical systems. Length of Slot in Direction of Flow is denoted by l symbol.

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

FAQs on Length of Slot in Direction of Flow in Terms of Flow of Lubricant

What is the formula to find Length of Slot in Direction of Flow in Terms of Flow of Lubricant?

The formula of Length of Slot in Direction of Flow in Terms of Flow of Lubricant is expressed as Length of Slot in Direction of Flow = Pressure Difference between Slot Sides*Breadth of Slot for Oil Flow*(Oil Film thickness^3)/(12*Dynamic Viscosity of Lubricant*Flow of Lubricant from Slot). Here is an example- 50484.85 = 5100000*0.04658824*(2E-05^3)/(12*0.22*1.5E-08).

How to calculate Length of Slot in Direction of Flow in Terms of Flow of Lubricant?

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

Can the Length of Slot in Direction of Flow in Terms of Flow of Lubricant be negative?

No, the Length of Slot in Direction of Flow in Terms of Flow of Lubricant, measured in Length cannot be negative.

Which unit is used to measure Length of Slot in Direction of Flow in Terms of Flow of Lubricant?

Length of Slot in Direction of Flow in Terms of 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 Length of Slot in Direction of Flow in Terms of Flow of Lubricant can be measured.

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

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

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

Length of Slot in Direction of Flow in Terms of Flow of Lubricant Formula Elements

Other formulas in Hydrostatic Step Bearing with Pad category

How to Evaluate Length of Slot in Direction of Flow in Terms of Flow of Lubricant?

FAQs on Length of Slot in Direction of Flow in Terms of Flow of Lubricant

Variable Name