Burning velocity of the heterogeneous flame propagation in the SHS process expressed in explicit form

Journal Article · Thu Jun 01 04:00:00 EDT 1995 · Combustion and Flame

DOI:https://doi.org/10.1016/0010-2180(95)00284-D· OSTI ID:69948

Makino, A ^[1]; Law, C K ^[2]

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1. Shizuoka Univ., Hamamatsu (Japan). Dept. of Energy and Mechanical Engineering
2. Princeton Univ., NJ (United States). Dept. of Mechanical and Aerospace Engineering

The combustion behavior of the self-propagating high-temperature synthesis (SHS) process has been the subject of many analytical and experimental investigations. Recently, a theory based on spray combustion was proposed for the SHS flame structure and propagation. In contrast to previous studies based on the homogeneous premixed flame, this theory accounts for the premixed-mode of propagation of the bulk flame and the non-premixed reaction of the dispersed nonmetal (or higher melting-point metal) particles which supports the bulk flame. Finite-rate reaction at the particle surface and the temperature-dependent, Arrhenius nature of mass diffusion are both incorporated. The heterogeneous nature of the theory has satisfactorily captured the effects of particle size on the flame propagation speed. The final solution of Makino and Law was obtained numerically and hence presented parametrically. The authors have since then derived an approximate analytical expression for the burning velocity, which explicitly displays the functional dependence of the burning velocity on the various system parameters. This result is presented herein. Applicability of this expression is examined by comparing it with the numerical results for Ti-C, Ti-B, Zr-B, Hf-B, and Co-Ti systems. A fair degree of agreement has been shown as far as the general trend and approximate magnitude are concerned.

• OSTI ID: 69948
• Journal Information: Combustion and Flame, Journal Name: Combustion and Flame Journal Issue: 4 Vol. 101; ISSN CBFMAO; ISSN 0010-2180
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
COBALT ALLOYS
COMBUSTION KINETICS
EXPERIMENTAL DATA
FABRICATION
FLAME PROPAGATION
FLAMES
HAFNIUM BORIDES
MATHEMATICAL MODELS
MORPHOLOGY
TITANIUM ALLOYS
TITANIUM BORIDES
TITANIUM CARBIDES
ZIRCONIUM BORIDES