Heat Transfer from Solid Shaft to Bearing

[Michael Lim]

Preheating was carried out on a 4140, 2 inch dia. solid shaft material prior to welding of linkage plate and bearing was attached on the shaft. Temperature range is around 400 to 450 degree celsius. Welding was performed and followed by Post heating of temperature range 560 to 570 degree celsius and cooling. Bearing used is GEZ200ES. Nearest distance from heat source to the bearing is 1.5 inch. Under this situation, i would like to know whether the high temperature induced by the preheating, welding and post heating on the shaft will affect the bearing or not? Is there any formula we can use for calculating the heat transfer and rate from the heat source on the shaft and linkage plate to the bearing through conduction. In this way, we can know how much heat is induced on the bearing contact surface during the entire welding process?

Cheers
Michael

 

[Curl]

Is there any formula we can use for calculating the heat transfer and rate from the heat source on the shaft and linkage plate to the bearing through conduction.

Indeed there is. It is called the heat equation:

http://en.wikipedia.org/wiki/Heat_equation

Good luck.

 

[Point Conception]

For a practical calculation you might have better luck with this :

http://en.wikipedia.org/wiki/Thermal_conductivity

scroll down to equations