Dimension b of Slot given Flow of Lubricant Calculator

✖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.ⓘ Length of Slot in Direction of Flow [l]			+10% -10%
✖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.ⓘ Dynamic Viscosity of Lubricant [μ_l]			+10% -10%
✖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.ⓘ Flow of Lubricant from Slot [Q_slot]			+10% -10%
✖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.ⓘ Oil Film thickness [h]			+10% -10%
✖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.ⓘ Pressure Difference between Slot Sides [ΔP]			+10% -10%

✖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.ⓘ Dimension b of Slot given Flow of Lubricant [b]

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Dimension b of Slot given Flow of Lubricant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
b = l*12*μ_l*Q_slot/((h^3)*ΔP)
This formula uses 6 Variables

Variables Used

Breadth of Slot for Oil Flow - (Measured in Meter) - 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.
Length of Slot in Direction of Flow - (Measured in Meter) - 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.
Dynamic Viscosity of Lubricant - (Measured in Pascal Second) - 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.
Flow of Lubricant from Slot - (Measured in Cubic Meter per Second) - 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.
Oil Film thickness - (Measured in Meter) - 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.
Pressure Difference between Slot Sides - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Length of Slot in Direction of Flow: 48 Millimeter --> 0.048 Meter (Check conversion here)
Dynamic Viscosity of Lubricant: 220 Centipoise --> 0.22 Pascal Second (Check conversion here)
Flow of Lubricant from Slot: 15 Cubic Millimeter per Second --> 1.5E-08 Cubic Meter per Second (Check conversion here)
Oil Film thickness: 0.02 Millimeter --> 2E-05 Meter (Check conversion here)
Pressure Difference between Slot Sides: 5.1 Megapascal --> 5100000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = l*12*μ_l*Q_slot/((h^3)*ΔP) --> 0.048*12*0.22*1.5E-08/((2E-05^3)*5100000)

Evaluating ... ...

b = 0.0465882352941176

STEP 3: Convert Result to Output's Unit

0.0465882352941176 Meter -->46.5882352941176 Millimeter (Check conversion here)

FINAL ANSWER

46.5882352941176 ≈ 46.58824 Millimeter <-- Breadth of Slot for Oil Flow

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Hydrostatic Step Bearing with Pad Calculators

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

LaTeX Go 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)

Flow of Lubricant through slot in Terms of Pressure Difference

LaTeX Go 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)

Dimension b of Slot given Flow of Lubricant

LaTeX Go 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)

Total Projected Area of Bearing Pad

LaTeX Go Total Projected Area of Bearing Pad = Dimension X of Bearing Pad*Dimension Y of Bearing Pad

Dimension b of Slot given Flow of Lubricant Formula

LaTeX Go

What is Sliding Contact Bearing?

The sliding contact bearings in which the sliding action is along the circumference of a circle or an arc of a circle and carrying radial loads are known as journal or sleeve bearings.

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

Dimension b of Slot given Flow of Lubricant calculator 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 calculate 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 calculate Dimension b of Slot given Flow of Lubricant using this online calculator? To use this online calculator 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. Here is how the Dimension b of Slot given Flow of Lubricant calculation can be explained with given input values -> 46588.24 = 0.048*12*0.22*1.5E-08/((2E-05^3)*5100000).

FAQ

What is Dimension b of Slot given Flow of Lubricant?

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 and is represented as b = l*12*μ_l*Q_slot/((h^3)*ΔP) or 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). 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, 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, 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, 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 & 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.

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

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 is calculated using 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 calculate Dimension b of Slot given Flow of Lubricant, you need 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). With our tool, you need to enter the respective value for Length of Slot in Direction of Flow, Dynamic Viscosity of Lubricant, Flow of Lubricant from Slot, Oil Film thickness & Pressure Difference between Slot Sides and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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