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Combustion synthesis of metal carbides: Part I. Model development

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Abstract

The definition of a rigorous theoretical framework for the appropriate physico-chemical description of self-propagating high-temperature synthesis (SHS) processes represents the main goal of this work which is presented in two sequential articles. In this article, a novel mathematical model to simulate SHS processes is proposed. By adopting a heterogeneous approach for the description of mass transfer phenomena, the model is based on appropriate mass and energy conservation equations for each phase present during the system evolution. In particular, it takes microstructural evolution into account using suitable population balances and properly evaluating the different driving forces from the relevant phase diagram. The occurrence of phase transitions is treated on the basis of the so-called enthalpy approach, while a conventional nucleation-and-growth mechanistic scenario is adopted to describe quantitatively the formation of reaction products. The proposed mathematical model may be applied to the case of combustion synthesis processes involving a low melting point reactant and a refractory one, as for the synthesis of transition metal carbides from pure metal and graphite. Thus, the model can be profitably used to gain a deeper insight into the microscopic elementary phenomena involved in combustion synthesis processes through a suitable combination of experimental and modeling investigations, as it may be seen in Part II of this work [J. Mater. Res. 20, 1269 (2005)].

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Authors and Affiliations

  1. Dipartimento di Ingegneria Chimica e Materiali, Centro Studi sulle Reazioni Autopropaganti (CESRA), Unità di Ricerca del Consorzio Interuniversitario Nazionale di Scienza e Tecnologia dei Materiali (INSTM), Università degli Studi di Cagliari, 09123, Cagliari, Italy

    A. M. Locci, A. Cincotti, F. Delogu & R. Orrù

  2. Dipartimento di Ingegneria Chimica e Materiali, Centro Studi sulle Reazioni Autopropaganti (CESRA), Unità di Ricerca del Consorzio Interuniversitario Nazionale di Scienza e Tecnologia dei Materiali (INSTM), Università degli Studi di Cagliari, 09123, Cagliari, Italy

    G. Cao

  3. CRS4, Parco Scientifico e Tecnologico, POLARIS, 09010, Pula (CA), Italy

    G. Cao

Authors
  1. A. M. Locci
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  2. A. Cincotti
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  3. F. Delogu
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  4. R. Orrù
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  5. G. Cao
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Correspondence to A. Cincotti or G. Cao.

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Locci, A.M., Cincotti, A., Delogu, F. et al. Combustion synthesis of metal carbides: Part I. Model development. Journal of Materials Research 20, 1257–1268 (2005). https://doi.org/10.1557/JMR.2005.0152

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  • DOI: https://doi.org/10.1557/JMR.2005.0152

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