Thermal Dispersion Software: Find Heater Effects on Silica

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Thermal dispersion in silica can be analyzed using finite element analysis software such as ANSYS, ABAQUS, or CosmosWorks to determine the effective distance a heater can be placed from a region. Alternatively, custom programs can be developed using heat transfer equations in MatLab, or simpler cases can be solved in Excel or on paper. A user reported challenges in solving a 2-D problem, having previously succeeded with a 1-D approach, but found the results unsatisfactory. Input from colleagues, including a post-doc and professor, indicated that the results were not accurate, though specific issues were not identified. Accurate modeling of thermal dispersion is crucial for effective heater placement in silica applications.
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Does anyone know of any software I could use to look at thermal dispersion in silica? It is to basically see how far I can place a heater from a region until the active region no longer feels the effects of the heater.
 
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Any good finite element analysis software (ANSYS, ABAQUS, CosmosWorks, etc.) should be able to solve this problem. You could also write your own program, using heat transfer equations, in software like MatLab. If the problem is simple enough (e.g., 1-D or axisymmetric), you could solve it in Excel or on paper.
 
I've solved the problem in 1-D but it's a 2-D problem, which I tried to solve myself but the results just don't look right, the post-doc and prof both don't think it's quite right, but can't say how.
 
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