A fibrous structure exposed to a heat source is a multi-physics problem. Heat transfer within the structure happens in all three modes: conduction, convection, and radiation. The conduction happens along the longitudinal direction of fibers and also in the transverse direction between the fibers that are in contact with each other. Due to the heating, the chemically bound in-fiber or infra-fiber organic material undergo chemical reactions and triggers gas dynamics within the structures leading to convection of heat. Similarly, due to the temperature difference between the fibers, the radioactive heat transfer is triggered. Furthermore, if the chemical reaction of organic material is exothermic, it behaves like an internal heat source for the heat-diffusion problem. Also, the rate of chemical reaction depends upon the amount of oxygen available. When the fibrous structure is dense, the oxygen inflow during heating can be limited for chemical reaction to occur. This requires solving the kinetics of oxygen flow within the structure. Therefore, thermal, chemical and mass transfer problem need to be solved simultaneously as a coupled problem in order to accurately predict the temperature field.
What would be an appropriate procedure to address this problem? Are there any existing tools that could handle all the involved physics? I would appreciate any suggestion or advice or comments.
I believe if you search in ANSYS Fluent UDF options, you can find a way to define all the term you need or add them to the basic equations. If your are using any other commercialized software, you have to use coding options and the define the terms you need.
A solver of this kind of problem is developped by a consortium NASA/VKI/EPFL: see PATO ( Porous material Analysis Toolbox based on OpenFOAM) on https://pato.ac/index.php/code-development/
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