Abstract
A new approach is developed to perform mathematical modeling of heat transfer with consideration of deformation of a physical system in a chemical reaction zone. This approach describes boundary conditions using fractional differential-integral calculus. A numerical analysis using the model proposed is undertaken to examine processes during nonlinear heat transfer accompanied by deformation of a physical system due to intense gas release in chemical reactions, particularly in processes of the production of materials by self-propagating high-temperature synthesis.
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Kholpanov, L.P., Zakiev, S.E. Nonlinear Heat and Mass Transfer with Consideration of Deformation in a Chemical Reaction Wave. Theoretical Foundations of Chemical Engineering 38, 41–47 (2004). https://doi.org/10.1023/B:TFCE.0000014387.57801.7f
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DOI: https://doi.org/10.1023/B:TFCE.0000014387.57801.7f