1995
DOI: 10.1016/0956-7151(95)90173-6
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Finite-difference modelling of self-propagating high-temperature synthesis of materials

Abstract: Abstract--The modelling of self-Pr0Pagating high-temperature reactions is attempted using a finite difference model. The model is described and model results are compared with experimentally observed combustion wave velocities for the reaction 3TIO2 + 4A1 + 3C ~ 3TiC + 2AI 2 03 using various processing parameters (diluents, preheating etc.). The model is extended to derive a parameter which determines under what conditions a reaction will become self-propagating.

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Cited by 24 publications
(8 citation statements)
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“…However, the availability of experimental results of radial combustion on disk shaped samples (Durães et al, 2006a) has stimulated, in an earlier work, the derivation of a onedimensional model to describe the Fe 2 O 3 /Al radial combustion propagation (Brito et al, 2005). The built model congregates several features of simpler models published (Bowen and Derby, 1995, Carrillo-Heian et al, 1999, Graeve et al, 2001, CuadradoLaborde et al, 2003. It considers non-steady propagation with conductive/radiative heat transfer mechanisms and zero order reaction kinetics.…”
Section: Introductionmentioning
confidence: 99%
“…However, the availability of experimental results of radial combustion on disk shaped samples (Durães et al, 2006a) has stimulated, in an earlier work, the derivation of a onedimensional model to describe the Fe 2 O 3 /Al radial combustion propagation (Brito et al, 2005). The built model congregates several features of simpler models published (Bowen and Derby, 1995, Carrillo-Heian et al, 1999, Graeve et al, 2001, CuadradoLaborde et al, 2003. It considers non-steady propagation with conductive/radiative heat transfer mechanisms and zero order reaction kinetics.…”
Section: Introductionmentioning
confidence: 99%
“…However, this compact was denser than one produced with M1 procedure. A plausible explanation for this observation is that at the combustion temperature, Al is molten and easily able to migrate leading to an important contribution from the TiO 2 /C interfaces [45]. In case of M2 sample the complete reaction between the starting reactants (as dictated from the XRD pattern ( Fig.…”
Section: Effect Of the Mixing Proceduresmentioning
confidence: 94%
“…The lower temperature is sufficient for grain growth, but is below the ignition temperature of 900°C which is commonly found for pressed pellets in the formation of composites of titanium carbide and alumina from TiO 2 , C, and Al. [11][12][13][14][15][16][17][18][19][20][21][22][23][24] Differential thermal analysis was performed on selected powders using approximately 30 mg samples which were heated up in either a nitrogen or argon atmosphere to 1200°C at a heating rate of 20°Cиmin −1 using a Shimadzu DTA-50 instrument. Thermogravimetric analysis was also performed using the same parameters in a Shimadzu TGA-50.…”
Section: Methodsmentioning
confidence: 99%