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Mathematical and experimental investigation of the self-propagating high-temperature synthesis (SHS) of TiAl3 and Ni3Al intermetallic compounds

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Abstract

One-dimensional mathematical modeling was used to describe the self-propagating high-temperature synthesis (SHS) process for preparing TiAl3 and Ni3Al intermetallics. The kinetic parameters (activation energies and pre-exponential factors) for the two compounds were obtained by matching experimental measurement and the numerical solution. The results thus obtained were compared with rate parameters obtained using different methods. The activation energy was 483 and 283 kJ mol−1 for the formation of TiAl3 and Ni3Al, respectively. The temperature profiles calculated using the mathematical model were compared with experimental measurements for both aluminides which indicated reasonable agreement. Fine particle size and moderate preheating increase the SHS rates.

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Abbreviations

a :

Thermal diffusivity, m2 s−1

c :

Heat capacity, J K−1 mol−1

E :

Activation energy, J mol−1

ΔH:

Enthalpy, J mol−1

I :

\(\int_0^1 \varphi {\text{ d}}t + \int_0^1 {(1 - t} ) \varphi {\text{d}}t\), defined in Equation 29

k :

Rate constant, s−1

k 0 :

Pre-exponential factor, s−1

m :

Atomic fraction

n :

Reaction order

p :

Function defined by Equation 17

R :

Gas constant, 8.314 J mol−1K−1

T :

Temperature, K

t :

Time, s

u :

Burning rate, ms−1

x :

Distance, m

α :

Conversion fraction

λ :

Thermal conductivity, Wm−1 K−1

ϱ:

Density, g cm−3

σ:

Constant in Equation 36

τ:

Dimensionless temperature defined by Equation 12

ϕ:

(−ΔH)ϱφ/Tad−T 0 defined in Equation 13

Φ:

function defined in Equation 2

ω:

ϱuc

0:

Initial state or total

1:

Substance 1

2:

Substance 2

a:

Substance a

avg:

Average

ad:

Adiabatic state

b:

Substance b

f:

Formation

ig:

Ignition state

m:

Mean

max:

Maximum

s:

Sample

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Authors and Affiliations

  1. Department of Metallurgical Engineering, University of Utah, 84112-1183, Salt Lake City, UT, USA

    H. Y. Sohn & X. Wang

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  1. H. Y. Sohn
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  2. X. Wang
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Sohn, H.Y., Wang, X. Mathematical and experimental investigation of the self-propagating high-temperature synthesis (SHS) of TiAl3 and Ni3Al intermetallic compounds. JOURNAL OF MATERIALS SCIENCE 31, 3281–3288 (1996). https://doi.org/10.1007/BF00354680

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