Flow of Lubricant through slot in Terms of Pressure Difference Calculator

✖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.ⓘ Breadth of Slot for Oil Flow [b]			+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 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 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 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 through slot in Terms of Pressure Difference [Q_slot]

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Flow of Lubricant through slot in Terms of Pressure Difference Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Pressure Difference between Slot Sides: 5.1 Megapascal --> 5100000 Pascal (Check conversion here)
Breadth of Slot for Oil Flow: 46.58824 Millimeter --> 0.04658824 Meter (Check conversion here)
Oil Film thickness: 0.02 Millimeter --> 2E-05 Meter (Check conversion here)
Dynamic Viscosity of Lubricant: 220 Centipoise --> 0.22 Pascal Second (Check conversion here)
Length of Slot in Direction of Flow: 48 Millimeter --> 0.048 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_slot = ΔP*b*(h^3)/(12*μ_l*l) --> 5100000*0.04658824*(2E-05^3)/(12*0.22*0.048)

Evaluating ... ...

Q_slot = 1.50000015151515E-08

STEP 3: Convert Result to Output's Unit

1.50000015151515E-08 Cubic Meter per Second -->15.0000015151515 Cubic Millimeter per Second (Check conversion here)

FINAL ANSWER

15.0000015151515 ≈ 15 Cubic Millimeter per Second <-- Flow of Lubricant from Slot

(Calculation completed in 00.021 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

Flow of Lubricant through slot in Terms of Pressure Difference 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 Flow of Lubricant through slot in Terms of Pressure Difference?

Flow of Lubricant through slot in Terms of Pressure Difference calculator 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 calculate the Flow of Lubricant from Slot, Flow of Lubricant through slot in Terms of Pressure Difference formula is defined as a method to evaluate the lubricant flow rate through a slot based on the pressure difference, slot width, lubricant viscosity, and length. This is crucial for optimizing the performance of sliding contact bearings. Flow of Lubricant from Slot is denoted by Q_slot symbol.

How to calculate Flow of Lubricant through slot in Terms of Pressure Difference using this online calculator? To use this online calculator 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. Here is how the Flow of Lubricant through slot in Terms of Pressure Difference calculation can be explained with given input values -> 1.6E+10 = 5100000*0.04658824*(2E-05^3)/(12*0.22*0.048).

FAQ

What is Flow of Lubricant through slot in Terms of Pressure Difference?

Flow of Lubricant through slot in Terms of Pressure Difference formula is defined as a method to evaluate the lubricant flow rate through a slot based on the pressure difference, slot width, lubricant viscosity, and length. This is crucial for optimizing the performance of sliding contact bearings and is represented as Q_slot = ΔP*b*(h^3)/(12*μ_l*l) or 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). 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, 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, 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 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 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.

How to calculate Flow of Lubricant through slot in Terms of Pressure Difference?

Flow of Lubricant through slot in Terms of Pressure Difference formula is defined as a method to evaluate the lubricant flow rate through a slot based on the pressure difference, slot width, lubricant viscosity, and length. This is crucial for optimizing the performance of sliding contact bearings is calculated using 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 calculate Flow of Lubricant through slot in Terms of Pressure Difference, you need 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). With our tool, you need to enter the respective value for Pressure Difference between Slot Sides, Breadth of Slot for Oil Flow, Oil Film thickness, Dynamic Viscosity of Lubricant & Length of Slot in Direction of Flow 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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