Heat transfer in a fibrous structure exposed to a heat source

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Last Post 13 March 2019

Samsover posted this 12 March 2019

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?