Kappa factor in heat equation and heat Flux

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SUMMARY

The discussion focuses on the behavior of heat flux in a simulation involving two concentric cylinders separated by an insulating material. The user is investigating how varying the thermal conductivity, denoted as kappa (κ), of the insulator affects heat flux. Despite changes in kappa, the heat flux remains constant, which raises questions about the underlying physics. The relevant equation discussed is j_q = -k(r) ∇·T, where j_q represents heat flux and T is temperature.

PREREQUISITES
  • Understanding of thermal conductivity and its role in heat transfer
  • Familiarity with the heat equation and its applications
  • Knowledge of the concept of heat flux and its mathematical representation
  • Basic principles of cylindrical coordinate systems in thermodynamics
NEXT STEPS
  • Explore the implications of varying thermal conductivity in heat transfer simulations
  • Investigate the derivation and application of the heat equation j_q = -k(r) ∇·T
  • Learn about the effects of insulation materials on heat flux in concentric cylinder systems
  • Study numerical methods for simulating heat transfer in cylindrical geometries
USEFUL FOR

Researchers, engineers, and students in thermodynamics, particularly those working on heat transfer simulations and material properties in thermal systems.

George444fg
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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?
 
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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.
 

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