The dynamic heat transfer in tube wall

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Discussion Overview

The discussion revolves around numerical calculation methods for dynamic heat conduction in tube walls, specifically addressing the assumptions made regarding temperature changes on the inner and outer sides of the tube. Participants explore the implications of transient heat conduction and the methods used to model these scenarios.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant questions whether there are methods that consider temperature changes on both the inner and outer sides of the tube, rather than assuming a fixed temperature on one side.
  • Another participant emphasizes the importance of understanding both steady-state and transient heat conduction equations, noting that many systems are designed for steady-state conditions.
  • It is mentioned that simulating rapid transients requires finer time steps and typically involves explicit numerical solutions, which is described as an art.
  • A participant suggests that integration might be a necessary approach for the calculations.
  • Another participant agrees with the need for finer time steps and mentions iteration as a method to achieve accurate results.
  • A request for the specific formula related to the discussed methods is made, indicating a desire for more detailed technical information.

Areas of Agreement / Disagreement

Participants express differing views on the methods for calculating temperature distribution in tube walls, particularly regarding the treatment of boundary conditions. There is no consensus on a specific method or formula, and the discussion remains unresolved.

Contextual Notes

Participants highlight the complexity of transient heat conduction and the need for careful consideration of boundary conditions, but specific assumptions and definitions are not fully articulated. The discussion also reflects varying levels of familiarity with numerical methods and their applications.

law&theorem
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When I read some heat transfer book, I got a problem.
There are some numerical calculation methods in dynamic heat conducting in tube wall, but all the methods assume the temperature on one side of the tube and then calculate the temperature distributed in the wall.
But are there some methods assume that temperature on inner/outer sides both changes and then calculate the temperature in the wall ?
 
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law&theorem said:
When I read some heat transfer book, I got a problem.
There are some numerical calculation methods in dynamic heat conducting in tube wall, but all the methods assume the temperature on one side of the tube and then calculate the temperature distributed in the wall.
But are there some methods assume that temperature on inner/outer sides both changes and then calculate the temperature in the wall ?
Sure, it's a matter of transient heat conduction. One has to be familiar with the forms of the steady-state and transient heat conduction equation, or systems of equations for heat transfer.

Normally in calculating temperature through a wall, on starts at the boundary condition and works toward the hottest temperature or axis/plane of symmetry.

Many systems are designed for steady-state, while others may be subject to slow time-varying boundary conditions. In off-normal conditions, the boundary condition may change rapidly with time.

Simulating transients, particularly rapid transients, requires finer time steps (and usually explicit (dynamic) vs implicit (static/quasi-static) numercial solutions). It is also an art.
 
Astronuc said:
Sure, it's a matter of transient heat conduction. One has to be familiar with the forms of the steady-state and transient heat conduction equation, or systems of equations for heat transfer.

Normally in calculating temperature through a wall, on starts at the boundary condition and works toward the hottest temperature or axis/plane of symmetry.

Many systems are designed for steady-state, while others may be subject to slow time-varying boundary conditions. In off-normal conditions, the boundary condition may change rapidly with time.

Simulating transients, particularly rapid transients, requires finer time steps (and usually explicit (dynamic) vs implicit (static/quasi-static) numercial solutions). It is also an art.

Finer time steps, maybe, I'll try
 
shouldn't this be done by using integration?
 
Yes, finer time step and interation
 
do you have the formula?
 

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