Flow of Lubricant through slot in Terms of Pressure Difference Calculator

✖Pressure difference between slot sides is the difference in pressure intensities at two different sides of the slot.ⓘ Pressure difference between slot sides [ΔP]			+10% -10%
✖Breadth of slot for oil flow is defined as the length of the rectangular slot in a plane perpendicular to the direction of flow.ⓘ Breadth of slot for oil flow [b]			+10% -10%
✖Oil film thickness is defined as the thickness of the oil film between the two parts in relative motion.ⓘ Oil film thickness [h]			+10% -10%
✖The Dynamic Viscosity of Lubricant is the resistance to movement of one layer of fluid over another.ⓘ Dynamic Viscosity of Lubricant [μ_l]			+10% -10%
✖Length of slot in direction of flow is the length of the rectangular slot through which viscous oil flows.ⓘ Length of slot in direction of flow [l]			+10% -10%

✖Flow of lubricant from slot can be defined as the amount of lubricant flowing per unit time between the slots.ⓘ Flow of Lubricant through slot in Terms of Pressure Difference [Q_slot]

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Formula

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Flow of Lubricant through slot in Terms of Pressure Difference

Formula

`"Q"_{"slot"} = "ΔP"*"b"*("h"^3)/(12*"μ"_{"l"}*"l")`

Example

`"15.77652mm³/s"="5.1MPa"*"49mm"*(("0.02mm")^3)/(12*"220cP"*"48mm")`

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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) - Flow of lubricant from slot can be defined as the amount of lubricant flowing per unit time between the slots.
Pressure difference between slot sides - (Measured in Pascal) - Pressure difference between slot sides is the difference in pressure intensities at two different sides of the slot.
Breadth of slot for oil flow - (Measured in Meter) - Breadth of slot for oil flow is defined as the length of the rectangular slot in a plane perpendicular to the direction of flow.
Oil film thickness - (Measured in Meter) - Oil film thickness is defined as the thickness of the oil film between the two parts in relative motion.
Dynamic Viscosity of Lubricant - (Measured in Pascal Second) - The Dynamic Viscosity of Lubricant is the resistance to movement of one layer of fluid over another.
Length of slot in direction of flow - (Measured in Meter) - Length of slot in direction of flow is the length of the rectangular slot through which viscous oil flows.

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: 49 Millimeter --> 0.049 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*0.049*(2E-05^3)/(12*0.22*0.048)

Evaluating ... ...

Q_slot = 1.57765151515152E-08

STEP 3: Convert Result to Output's Unit

1.57765151515152E-08 Cubic Meter per Second -->15.7765151515152 Cubic Millimeter per Second (Check conversion here)

FINAL ANSWER

15.7765151515152 ≈ 15.77652 Cubic Millimeter per Second <-- Flow of lubricant from slot

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Sliding Contact Bearing » Hydrostatic Step Bearing with Pad » Flow of Lubricant through slot in Terms of Pressure Difference

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 10+ 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)

Flow of Lubricating Oil Passing through Pad in Terms of Flow Coefficient

Go Flow of Lubricant = Flow Coefficient*Load Acting on Sliding Bearing*(Oil film thickness^3)/(Total Projected Area of Bearing Pad*Dynamic Viscosity of Lubricant)

Total Projected Area of Bearing Pad in Terms of Flow of Lubricant

Go Total Projected Area of Bearing Pad = Flow Coefficient*Load Acting on Sliding Bearing*(Oil film thickness^3)/(Dynamic Viscosity of Lubricant*Flow of Lubricant)

Flow Coefficient in Terms of Flow of Lubricant through Pad

Go Flow Coefficient = Flow of Lubricant*Total Projected Area of Bearing Pad*Dynamic Viscosity of Lubricant/(Load Acting on Sliding Bearing*(Oil film thickness^3))

Total Projected Area of Bearing Pad in Terms of Load acting on Bearing

Go Total Projected Area of Bearing Pad = Load Acting on Sliding Bearing/(Pressure of Lubricating Oil*Load coefficient for bearing)

Dimension X in Terms of Total Projected Area of Bearing Pad

Go Dimension X of Bearing Pad = Total Projected Area of Bearing Pad/Dimension Y of Bearing Pad

Dimension Y in Terms of Total Projected Area of Bearing Pad

Go Dimension Y of Bearing Pad = Total Projected Area of Bearing Pad/Dimension X of Bearing Pad

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

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, The Flow of Lubricant through slot in Terms of Pressure Difference formula is defined as ratio of product of pressure difference, dimension b of slot, and cube of fluid film thickness to value of 12 times product of viscosity of lubricant and length of slot. 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*0.049*(2E-05^3)/(12*0.22*0.048).

FAQ

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

The Flow of Lubricant through slot in Terms of Pressure Difference formula is defined as ratio of product of pressure difference, dimension b of slot, and cube of fluid film thickness to value of 12 times product of viscosity of lubricant and length of slot 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). Pressure difference between slot sides is the difference in pressure intensities at two different sides of the slot, Breadth of slot for oil flow is defined as the length of the rectangular slot in a plane perpendicular to the direction of flow, Oil film thickness is defined as the thickness of the oil film between the two parts in relative motion, The Dynamic Viscosity of Lubricant is the resistance to movement of one layer of fluid over another & Length of slot in direction of flow is the length of the rectangular slot through which viscous oil flows.

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

The Flow of Lubricant through slot in Terms of Pressure Difference formula is defined as ratio of product of pressure difference, dimension b of slot, and cube of fluid film thickness to value of 12 times product of viscosity of lubricant and length of slot 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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