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)
Qslot = ΔP*b*(h^3)/(12*μl*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
Qslot = ΔP*b*(h^3)/(12*μl*l) --> 5100000*0.04658824*(2E-05^3)/(12*0.22*0.048)
Evaluating ... ...
Qslot = 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 00.004 seconds)

Credits

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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
​ 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
​ 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
​ 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
​ 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

​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)
Qslot = ΔP*b*(h^3)/(12*μl*l)

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 Qslot 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 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 Qslot = ΔP*b*(h^3)/(12*μl*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 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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