Unit Bearing Pressure in Terms of Temperature Rise Variable Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unit bearing pressure for bearing = Density of Lubricating Oil*Specific heat of bearing oil*Temperature rise of bearing lubricant/Temperature Rise Variable
p = ρ*Cp*Δtr/TRV
This formula uses 5 Variables
Variables Used
Unit bearing pressure for bearing - (Measured in Pascal) - Unit bearing pressure for bearing is the average pressure acting on the contact surface of the bearing.
Density of Lubricating Oil - (Measured in Kilogram per Cubic Meter) - The Density of Lubricating Oil is defined as the mass of a unit volume of oil.
Specific heat of bearing oil - (Measured in Joule per Kilogram per K) - Specific heat of bearing oil is the amount of heat per unit mass required to raise the temperature of the oil by one degree Celsius.
Temperature rise of bearing lubricant - (Measured in Kelvin) - Temperature rise of bearing lubricant is defined as the increase in the temperature of the lubricant as the bearing or the component rotates.
Temperature Rise Variable - The Temperature Rise Variable is defined as the ratio of the product of density, specific, and rise in temperature to unit bearing pressure.
STEP 1: Convert Input(s) to Base Unit
Density of Lubricating Oil: 0.88 Gram per Cubic Centimeter --> 880 Kilogram per Cubic Meter (Check conversion here)
Specific heat of bearing oil: 1.76 Kilojoule per Kilogram per Celcius --> 1760 Joule per Kilogram per K (Check conversion here)
Temperature rise of bearing lubricant: 13.2 Degree Celsius --> 13.2 Kelvin (Check conversion here)
Temperature Rise Variable: 21 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
p = ρ*Cp*Δtr/TRV --> 880*1760*13.2/21
Evaluating ... ...
p = 973531.428571429
STEP 3: Convert Result to Output's Unit
973531.428571429 Pascal -->0.973531428571428 Megapascal (Check conversion here)
FINAL ANSWER
0.973531428571428 0.973531 Megapascal <-- Unit bearing pressure for bearing
(Calculation completed in 00.004 seconds)

Credits

Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
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National Institute Of Technology (NIT), Hamirpur
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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

Unit Bearing Pressure in Terms of Temperature Rise Variable Formula

Unit bearing pressure for bearing = Density of Lubricating Oil*Specific heat of bearing oil*Temperature rise of bearing lubricant/Temperature Rise Variable
p = ρ*Cp*Δtr/TRV

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 Unit Bearing Pressure in Terms of Temperature Rise Variable?

Unit Bearing Pressure in Terms of Temperature Rise Variable calculator uses Unit bearing pressure for bearing = Density of Lubricating Oil*Specific heat of bearing oil*Temperature rise of bearing lubricant/Temperature Rise Variable to calculate the Unit bearing pressure for bearing, The Unit Bearing Pressure in Terms of Temperature Rise Variable formula is defined as the ratio of the product of density, specific and rise in temperature to temperature rise variable. Unit bearing pressure for bearing is denoted by p symbol.

How to calculate Unit Bearing Pressure in Terms of Temperature Rise Variable using this online calculator? To use this online calculator for Unit Bearing Pressure in Terms of Temperature Rise Variable, enter Density of Lubricating Oil (ρ), Specific heat of bearing oil (Cp), Temperature rise of bearing lubricant (Δtr) & Temperature Rise Variable (TRV) and hit the calculate button. Here is how the Unit Bearing Pressure in Terms of Temperature Rise Variable calculation can be explained with given input values -> 9.7E-7 = 880*1760*13.2/21.

FAQ

What is Unit Bearing Pressure in Terms of Temperature Rise Variable?
The Unit Bearing Pressure in Terms of Temperature Rise Variable formula is defined as the ratio of the product of density, specific and rise in temperature to temperature rise variable and is represented as p = ρ*Cp*Δtr/TRV or Unit bearing pressure for bearing = Density of Lubricating Oil*Specific heat of bearing oil*Temperature rise of bearing lubricant/Temperature Rise Variable. The Density of Lubricating Oil is defined as the mass of a unit volume of oil, Specific heat of bearing oil is the amount of heat per unit mass required to raise the temperature of the oil by one degree Celsius, Temperature rise of bearing lubricant is defined as the increase in the temperature of the lubricant as the bearing or the component rotates & The Temperature Rise Variable is defined as the ratio of the product of density, specific, and rise in temperature to unit bearing pressure.
How to calculate Unit Bearing Pressure in Terms of Temperature Rise Variable?
The Unit Bearing Pressure in Terms of Temperature Rise Variable formula is defined as the ratio of the product of density, specific and rise in temperature to temperature rise variable is calculated using Unit bearing pressure for bearing = Density of Lubricating Oil*Specific heat of bearing oil*Temperature rise of bearing lubricant/Temperature Rise Variable. To calculate Unit Bearing Pressure in Terms of Temperature Rise Variable, you need Density of Lubricating Oil (ρ), Specific heat of bearing oil (Cp), Temperature rise of bearing lubricant (Δtr) & Temperature Rise Variable (TRV). With our tool, you need to enter the respective value for Density of Lubricating Oil, Specific heat of bearing oil, Temperature rise of bearing lubricant & Temperature Rise Variable and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Unit bearing pressure for bearing?
In this formula, Unit bearing pressure for bearing uses Density of Lubricating Oil, Specific heat of bearing oil, Temperature rise of bearing lubricant & Temperature Rise Variable. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Unit bearing pressure for bearing = Radial load acting on sliding bearing/(Axial Length of Bearing*Journal Diameter)
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