Heat transfer problem solution needed for a circular co-ordinate.

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Discussion Overview

The discussion revolves around solving a heat transfer problem related to the optimization of a circular fin, specifically focusing on the numerical solution of the heat equation using the Finite Difference Method. Participants are particularly concerned with the challenges of grid generation on a circular surface.

Discussion Character

  • Technical explanation
  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant expresses a need for guidance on generating a grid for a circular fin heat transfer problem, emphasizing the use of numerical methods.
  • Another participant suggests using a polar coordinate system for the circular fin and discusses the importance of understanding the volume of nodes in relation to heat transfer equations.
  • There is mention of the need to check resistances for annulus heat transfer, indicating that the equations may vary based on geometry.
  • A participant advises that a numerical analysis is necessary for solving the heat transfer equation, as it is a partial differential equation (PDE) that cannot be solved analytically.
  • One participant offers MATLAB code for a similar problem but cautions that limited knowledge of MATLAB may hinder its use, suggesting Excel as an alternative for analysis.
  • A later reply requests the sharing of the MATLAB solution, indicating interest in collaborative problem-solving.

Areas of Agreement / Disagreement

Participants generally agree on the necessity of numerical methods for solving the heat transfer problem, but there are differing opinions on the specific approaches and tools to use, particularly regarding grid generation and software preferences.

Contextual Notes

Participants have not fully resolved the specifics of grid generation for the circular surface, and there are indications of varying levels of familiarity with the necessary mathematical concepts and software tools.

Who May Find This Useful

This discussion may be useful for students and researchers working on heat transfer problems, particularly those involving circular geometries and numerical methods.

nafiz27me
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Hi
Everyone i am new to this forum..the reason why i am here is a problem, i really want to discuss here.
I am working on a thesis on optimization of a circular fin.
But i want to know how can i start to solve the heat equation. the preferred method to solve the problem is Numerical method(Finite difference Method).
Now the main problem is the grid generation in the circular surface. Please someone tell me how do i generate the grid...
hope i will get some quick response.
 
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Big project if as you say, your knowledge of heat transer is so basic. For a circular fin you will need a polar coordinate system, each node should have a slice of the ring with dimensions dr,d[theta],dz, multiply them together gives you the volume of the node. Multiply that by density to get the mass of the node. Need to check resistances for annulus heat transfer as the equation changes (cant remember what it is) but it is related to a log relationship.

Yes the only way you will solve the heat transfer equation is using a numerical analysis. Its a pde that you will not be able to solve by hand.
Make sure you understand more straight forward nodal analysis first before you go on to the circular fin.
I have the MATLAB code for something very similar if you are interested, however if you knowledge of MATLAB is limited, then i would advise against it. Do your analysis in excel probably.
 
I have to solve the problem using finite difference method.
I have already converted the equation of PDE into finite difference form.
Now problem is the grid generation how can i generated the grid to solve this problem.
pls help..
 
would you please share your solution in matlab.I will be grateful to you.Please...
 

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