Kappa factor in heat equation and heat Flux

Click For Summary

Discussion Overview

The discussion revolves around the behavior of heat flux in a simulation involving two concentric cylinders separated by an insulating material, specifically focusing on the role of the kappa factor in the heat equation. Participants are exploring the relationship between the thermal conductivity (kappa) of the insulator and the resulting heat flux, as well as the evolution of temperature within the system.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant describes a simulation project involving concentric cylinders and an insulating material, noting that changes in the kappa value do not affect the heat flux, despite temperature evolution.
  • Another participant seeks clarification on the definition of kappa and the specific problem being addressed, suggesting that documenting the analysis might be beneficial.
  • A participant references the equation j_q=-k(r)∇·T, indicating that they are using the heat equation, and reiterates that the heat flux remains constant regardless of kappa values.
  • There is a request for a detailed examination of the participant's analysis to understand the observed phenomenon better.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the relationship between kappa and heat flux, with no consensus on why the heat flux remains unchanged despite variations in kappa. The discussion remains unresolved as participants seek further clarification and detail.

Contextual Notes

Limitations include a lack of detailed documentation of the simulation analysis and potential missing assumptions regarding the system's configuration and boundary conditions.

George444fg
Messages
25
Reaction score
4
I am doing a project, actually it is a simulation. And we aim to determine the spatial and heat flux evolution of the system. The system consists of two concentric cylinders separated by an insulating material. I change the value of kappa of the insulator but the heat flux remains always the same, despite the change in the evolution of the temperature. Why this is happening?
 
Science news on Phys.org
George444fg said:
I am doing a project, actually it is a simulation. And we aim to determine the spatial and heat flux evolution of the system. The system consists of two concentric cylinders separated by an insulating material. I change the value of kappa of the insulator but the heat flux remains always the same, despite the change in the evolution of the temperature. Why this is happening?
What exactly is kappa, and what, more precisely, is the particular problem you are trying to solve? Also, documenting some of your analysis might be helpful.
 
I mean it is the equation j_q=-k(r)\nabla \cdot T. I use the heat equation. The point being that no matter the values kappa gets the heat flux is always the same
 
George444fg said:
I mean it is the equation j_q=-k(r)\nabla \cdot T. I use the heat equation. The point being that no matter the values kappa gets the heat flux is always the same
Like I said, let's see what you did in detail.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 19 ·
Replies
19
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 0 ·
Replies
0
Views
1K