Dimension b of Slot given 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%
✖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.ⓘ 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) - Breadth of slot for oil flow is defined as the length of the rectangular slot in a plane perpendicular to the direction of flow.
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.
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.

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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< 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, The Dimension b of Slot given 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 pressure difference. 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?

The Dimension b of Slot given 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 pressure difference 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). 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 & Pressure difference between slot sides is the difference in pressure intensities at two different sides of the slot.

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

The Dimension b of Slot given 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 pressure difference 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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