Time dependance of temperature rise

  • Context: Graduate 
  • Thread starter Thread starter gilzers
  • Start date Start date
  • Tags Tags
    Rise Temperature Time
Click For Summary
SUMMARY

The discussion centers on determining the temperature experienced by an optical fiber with an 80-micron diameter when subjected to a 600°C ambient temperature from an oven. The user seeks a time-dependent equation relevant to heat transfer, referencing "Heat Transmission" by McAdams for temperature profiles in cylinders and the need for an air-side heat transfer coefficient. The user acknowledges the importance of thermal conductivity and constants, suggesting that first-order approximations are acceptable for their analysis.

PREREQUISITES
  • Understanding of thermal conductivity in silica materials
  • Familiarity with heat transfer coefficients
  • Knowledge of time-dependent heat transfer equations
  • Experience with temperature profile analysis in cylindrical objects
NEXT STEPS
  • Research the air-side heat transfer coefficient values in "Transport Phenomena" by Bird, Stewart, and Lightfoot
  • Study time-dependent heat transfer equations applicable to cylindrical geometries
  • Explore first-order approximation techniques in thermal analysis
  • Examine temperature profile graphs from "Heat Transmission" by McAdams for practical applications
USEFUL FOR

Researchers and engineers in the fields of thermal analysis, optical fiber technology, and heat transfer, particularly those working with high-temperature environments and materials like silica.

gilzers
Messages
1
Reaction score
0
I feel very dumb that I cannot figure this one out despite a PhD in fiber optics, so looking for some bigger brains to help...

I'm passing an oven over an optical fiber and I'm trying to figure out what temperature the fiber will see in the center. I know the ambient temperature of the oven 600C, the size of the fiber which is 80 microns diameter and the material silica. So I can pull up the thermal conductivity and various other constants. I also know the speed and length of the oven. First order approximations are fine, I don't need to simulate the oven shape.

What I can't figure out is a time dependent equation that is relevant. Can anyone guide me to a relevant equation?
 
Science news on Phys.org
See Heat Transmission by McAdams. He provides graphs of temperature profiles in cylinders heated from the outside by a heat transfer coefficient. But, you need to have an estimate of a reasonable value for the air-side heat transfer coefficient. Typical values are given in Transport Phenomena by Bird, Stewart, and Lightfoot.

Chet
 

Similar threads

Graduate Volume and temperature rise in tissue
  • · Replies 35 ·
2
Replies
35
Views
5K
Undergrad Calculating Laser Power from Temperature Rise, Time, and Target Mass?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Temperature change due to mixing liquids, heating and heat losses
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Time for a cold volume of air to reach a higher air temperature
  • · Replies 11 ·
Replies
11
Views
3K
Graduate Average temperature in a greenhouse
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Extremely strange consequence of the speed of heat value
  • · Replies 19 ·
Replies
19
Views
3K
Calculating heated rectangle temperature rise
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Closely-Spaced Modes in Birefringent Single-Mode Fibers?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad How to determine temperature of filament?
  • · Replies 1 ·
Replies
1
Views
2K
Conductor Temperature Rise, Three-Phase Vs. Single-Phase
  • · Replies 19 ·
Replies
19
Views
7K