Parametric Studies of an Aluminum Combustion Model for Simulations of Detonation Waves

Krzysztof Benkiewicz; A. Koichi Hayashi

doi:10.2514/1.20412

Parametric Studies of an Aluminum Combustion Model for Simulations of Detonation Waves

AIAA Journal ◽

10.2514/1.20412 ◽

2006 ◽

Vol 44 (3) ◽

pp. 608-619 ◽

Cited By ~ 17

Author(s):

Krzysztof Benkiewicz ◽

A. Koichi Hayashi

Keyword(s):

Combustion Model ◽

Detonation Waves ◽

Aluminum Combustion ◽

Parametric Studies

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Nonlinear Stability of Weak Detonation Waves¶for a Combustion Model

Communications in Mathematical Physics ◽

10.1007/s002200050657 ◽

1999 ◽

Vol 204 (3) ◽

pp. 551-586 ◽

Cited By ~ 15

Author(s):

Tai-Ping Liu ◽

Shih-Hsien Yu

Keyword(s):

Nonlinear Stability ◽

Combustion Model ◽

Detonation Waves ◽

Weak Detonation

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Burn Time of Metal Nanoparticles

Materials ◽

10.3390/ma12091368 ◽

2019 ◽

Vol 12 (9) ◽

pp. 1368 ◽

Cited By ~ 8

Author(s):

Igor Altman

Keyword(s):

Metal Nanoparticles ◽

Accommodation Coefficient ◽

Metal Nanoparticle ◽

Combustion Model ◽

Common Belief ◽

Small Energy ◽

Aluminum Combustion ◽

Significant Temperature ◽

Logarithmic Law ◽

Logarithmic Dependence

This article will discuss the combustion of metal nanoparticles and explain the burn time dependence on particle size. In contrary to common belief in the power law (tb~d0.3), which, in our knowledge, is simply an experimental fit to data, we propose the logarithmic law (tb~ln(d)) that describes well the known results on nano-aluminum combustion. We derived the logarithmic dependence from a simple model taking into account the energy balance on the surface of a burning metal nanoparticle. The model in question is based on the small energy accommodation coefficient (EAC), which was recently utilized to solve experimental puzzles such as the significant temperature gap between the burning nanoparticle and the environment. A discussion on EAC, which value is important for the correct modeling of nanoparticle combustion, is also included. A way to generalize the considered combustion model is suggested.

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Structure of shock wave for a viscous combustion model

Filomat ◽

10.2298/fil1202389r ◽

2012 ◽

Vol 26 (2) ◽

pp. 389-395 ◽

Cited By ~ 2

Author(s):

Abdolrahman Razania

Keyword(s):

Shock Wave ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Heteroclinic Orbits ◽

Combustion Model ◽

Detonation Waves ◽

Dimensional System ◽

3 Dimensional

In this article, the existence of weak and strong detonation waves for a viscous combustion model is proved. In order to prove the existence of this kind of waves, it is necessary to consider a 3-dimensional system of ordinary differential equations and prove the existence of heteroclinic orbits of it. In order to prove this, topological arguments are mainly tools.

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