Pressure Difference in Terms of Flow of Lubricant Calculator

✖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%
✖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%
✖Flow of lubricant from slot can be defined as the amount of lubricant flowing per unit time between the slots.ⓘ Flow of lubricant from slot [Q_slot]			+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%
✖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%

✖Pressure difference between slot sides is the difference in pressure intensities at two different sides of the slot.ⓘ Pressure Difference in Terms of Flow of Lubricant [ΔP]

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Formula

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Pressure Difference in Terms of Flow of Lubricant

Formula

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

Example

`"4.84898MPa"="48mm"*12*"220cP"*"15mm³/s"/((("0.02mm")^3)*"49mm")`

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Pressure Difference in Terms of Flow of Lubricant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure difference between slot sides = Length of slot in direction of flow*12*Dynamic Viscosity of Lubricant*Flow of lubricant from slot/((Oil film thickness^3)*Breadth of slot for oil flow)
ΔP = l*12*μ_l*Q_slot/((h^3)*b)
This formula uses 6 Variables

Variables Used

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.
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.
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.
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.
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.
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.

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)
Breadth of slot for oil flow: 49 Millimeter --> 0.049 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔP = l*12*μ_l*Q_slot/((h^3)*b) --> 0.048*12*0.22*1.5E-08/((2E-05^3)*0.049)

Evaluating ... ...

ΔP = 4848979.59183673

STEP 3: Convert Result to Output's Unit

4848979.59183673 Pascal -->4.84897959183673 Megapascal (Check conversion here)

FINAL ANSWER

4.84897959183673 ≈ 4.84898 Megapascal <-- Pressure difference between slot sides

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Sliding Contact Bearing » Pressure » Pressure Difference in Terms of Flow of Lubricant

Credits

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

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 9 Pressure Calculators

Unit Bearing Pressure in Terms of Sommerfeld Number of Bearing

Go Unit bearing pressure for bearing = (((Radius of Journal/Radial clearance for bearing)^2)*Dynamic Viscosity of Lubricant*Journal Speed)/(2*pi*Sommerfeld Number of Journal Bearing)

Pressure Difference in Terms of Flow of Lubricant

Go Pressure difference between slot sides = Length of slot in direction of flow*12*Dynamic Viscosity of Lubricant*Flow of lubricant from slot/((Oil film thickness^3)*Breadth of slot for oil flow)

Unit Bearing Pressure in Terms of Temperature Rise Variable

Go Unit bearing pressure for bearing = Density of Lubricating Oil*Specific heat of bearing oil*Temperature rise of bearing lubricant/Temperature Rise Variable

Unit Bearing Pressure

Go Unit Bearing Pressure = (4*Force on Unit)/(pi*Number of Threads*(Nominal Diameter^2-Core Diameter^2))

Pressure of Lubricating Oil in Recess in Terms of Load acting on Bearing

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

Outlet Pressure in Terms of Pumping Power

Go Outlet Pressure for Bearing = Inlet Pressure for Bearing-(Pumping Power for Bearing/Flow of lubricant from step bearing)

Inlet Pressure in Terms of Pumping Power

Go Inlet Pressure for Bearing = Outlet Pressure for Bearing+(Pumping Power for Bearing/Flow of lubricant from step bearing)

Unit Bearing Pressure in Terms of Radial Load Acting on Bearing

Go Unit bearing pressure for bearing = Radial load acting on sliding bearing/(Axial Length of Bearing*Journal Diameter)

Pressure of Lubricating Oil in Terms Pumping Power

Go Pressure of Lubricating Oil = Pumping Power for Bearing/Flow of lubricant from step bearing

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

Pressure Difference in Terms of Flow of Lubricant calculator uses Pressure difference between slot sides = Length of slot in direction of flow*12*Dynamic Viscosity of Lubricant*Flow of lubricant from slot/((Oil film thickness^3)*Breadth of slot for oil flow) to calculate the Pressure difference between slot sides, The Pressure Difference in Terms of Flow of Lubricant formula is defined as the ratio product of 12 times the value of length of the slot, viscosity of lubricant, and flow of lubricant to the product of cube of film thickness and dimension b. Pressure difference between slot sides is denoted by ΔP symbol.

How to calculate Pressure Difference in Terms of Flow of Lubricant using this online calculator? To use this online calculator for Pressure Difference in Terms of 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) & Breadth of slot for oil flow (b) and hit the calculate button. Here is how the Pressure Difference in Terms of Flow of Lubricant calculation can be explained with given input values -> 4.8E-6 = 0.048*12*0.22*1.5E-08/((2E-05^3)*0.049).

FAQ

What is Pressure Difference in Terms of Flow of Lubricant?

The Pressure Difference in Terms of Flow of Lubricant formula is defined as the ratio product of 12 times the value of length of the slot, viscosity of lubricant, and flow of lubricant to the product of cube of film thickness and dimension b and is represented as ΔP = l*12*μ_l*Q_slot/((h^3)*b) or Pressure difference between slot sides = Length of slot in direction of flow*12*Dynamic Viscosity of Lubricant*Flow of lubricant from slot/((Oil film thickness^3)*Breadth of slot for oil flow). Length of slot in direction of flow is the length of the rectangular slot through which viscous oil flows, The Dynamic Viscosity of Lubricant is the resistance to movement of one layer of fluid over another, Flow of lubricant from slot can be defined as the amount of lubricant flowing per unit time between the slots, Oil film thickness is defined as the thickness of the oil film between the two parts in relative motion & Breadth of slot for oil flow is defined as the length of the rectangular slot in a plane perpendicular to the direction of flow.

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

The Pressure Difference in Terms of Flow of Lubricant formula is defined as the ratio product of 12 times the value of length of the slot, viscosity of lubricant, and flow of lubricant to the product of cube of film thickness and dimension b is calculated using Pressure difference between slot sides = Length of slot in direction of flow*12*Dynamic Viscosity of Lubricant*Flow of lubricant from slot/((Oil film thickness^3)*Breadth of slot for oil flow). To calculate Pressure Difference in Terms of 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) & Breadth of slot for oil flow (b). 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 & Breadth of slot for oil 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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