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A numerical study of the effect of heterogeneities in composition on micropyretic synthesis

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Abstract

Micropyretic synthesis is a technique whereby a material is synthesized by the propagation of a combustion front across a powder. Composition variations in reactants and diluent are common during micropyretic synthesis when powders are mixed and the conventional modeling treatments thus far have only considered uniform systems. Composition variations are thought to result in the local variations of such thermophysical/chemical parameters for the reactant as density, heat capacity, and thermal conductivity; the result is changes in the combustion temperature, propagation velocity, and propagation pattern of a combustion front. This study investigates the impact of composition variations during micropyretic synthesis with Ni + Al. Correlations of variations in the reactants and diluent with the propagation velocity and combustion temperature are both studied by a numerical simulation.

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Abbreviations

C p :

heat capacity of product (general form), kJ/kg/K

E :

activation energy, kJ/kg

Heterodiluent :

heterogeneity in diluent, %

Heteroreact :

heterogeneity in reactants, %

K 0 :

pre-exponential constant, (s-1 for zero order reaction)

Q :

heat of reaction, kJ/kg

P :

porosity, %

R :

gas constant, kJ/kg/K

R yield,j :

reaction yield at node j, %

T :

temperature, K

T 0 :

initial temperature, K

V i,j :

volume fraction of component i at node j, %

V 0 i :

original (homogeneous) volume fraction of component i, %

X i,j :

molar fraction of component i at node j, %

X 0 i :

original (homogeneous) molar fraction of component i, %

z :

dimensional coordinate, m

d :

diameter of the specimen, m

f R (j):

random number at node j

h :

surface heat transfer coefficient, J/m2/K/s

t :

time, s

ρ:

density, kg/m3

κ:

thermal conductivity (general form), kJ/m/K/s

η:

fraction reacted

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Acknowledgement

The support from National Center for High-Performance Computing (Account Number: u48hpl00) and National Science Council (Grant Number: NSC94-2216-E-228-001) in Taiwan are acknowledged.

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  1. Jin-Wen University of Science and Technology, Taipei, Taiwan

    H. P. Li

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  1. H. P. Li
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Correspondence to H. P. Li.

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Li, H.P. A numerical study of the effect of heterogeneities in composition on micropyretic synthesis. J Mater Sci 42, 1177–1183 (2007). https://doi.org/10.1007/s10853-006-1450-4

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  • DOI: https://doi.org/10.1007/s10853-006-1450-4

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