Abstract
In the present paper, by using a mathematical model for self-propagating high-temperature synthesis, we reveal the three-dimensional structure of so-called spin combustion wave on the inside of cylindrical sample. It is shown that an isothermal surface of regular spin combustion wave has some wings of which number is the same as that of reaction spots on the cylindrical surface and that the isothermal surface with helical wings rotates down with time. Because of this propagating pattern, in this paper, we adopt the more suitable term "helical wave." We also obtain the following existence conditions of a helical wave: If physical parameters are set so that a pulsating wave exists stably for the one-dimensional problem, then a helical wave takes the place of a pulsating wave when the radius of cylindrical sample becomes large.
| Original language | English |
|---|---|
| Pages (from-to) | 153-163 |
| Number of pages | 11 |
| Journal | Journal of Materials Synthesis and Processing |
| Volume | 9 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2001 May |
| Externally published | Yes |
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Keywords
- Finite difference method in the cylindrical coordinate
- Helically propagating combustion waves
- Pulsating waves
- Self-propagating high-temperature synthesis
- Traveling waves
ASJC Scopus subject areas
- Materials Science(all)
Cite this
Three-dimensional numerical simulation of helically propagating combustion waves. / Nagayama, Masaharu; Ikeda, Tsutomu; Ishiwata, Tetsuya; Tamura, Norikazu; Ohyanagi, Manshi.
In: Journal of Materials Synthesis and Processing, Vol. 9, No. 3, 05.2001, p. 153-163.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Three-dimensional numerical simulation of helically propagating combustion waves
AU - Nagayama, Masaharu
AU - Ikeda, Tsutomu
AU - Ishiwata, Tetsuya
AU - Tamura, Norikazu
AU - Ohyanagi, Manshi
PY - 2001/5
Y1 - 2001/5
N2 - In the present paper, by using a mathematical model for self-propagating high-temperature synthesis, we reveal the three-dimensional structure of so-called spin combustion wave on the inside of cylindrical sample. It is shown that an isothermal surface of regular spin combustion wave has some wings of which number is the same as that of reaction spots on the cylindrical surface and that the isothermal surface with helical wings rotates down with time. Because of this propagating pattern, in this paper, we adopt the more suitable term "helical wave." We also obtain the following existence conditions of a helical wave: If physical parameters are set so that a pulsating wave exists stably for the one-dimensional problem, then a helical wave takes the place of a pulsating wave when the radius of cylindrical sample becomes large.
AB - In the present paper, by using a mathematical model for self-propagating high-temperature synthesis, we reveal the three-dimensional structure of so-called spin combustion wave on the inside of cylindrical sample. It is shown that an isothermal surface of regular spin combustion wave has some wings of which number is the same as that of reaction spots on the cylindrical surface and that the isothermal surface with helical wings rotates down with time. Because of this propagating pattern, in this paper, we adopt the more suitable term "helical wave." We also obtain the following existence conditions of a helical wave: If physical parameters are set so that a pulsating wave exists stably for the one-dimensional problem, then a helical wave takes the place of a pulsating wave when the radius of cylindrical sample becomes large.
KW - Finite difference method in the cylindrical coordinate
KW - Helically propagating combustion waves
KW - Pulsating waves
KW - Self-propagating high-temperature synthesis
KW - Traveling waves
UR - http://www.scopus.com/inward/record.url?scp=0035353616&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035353616&partnerID=8YFLogxK
U2 - 10.1023/A:1013201631587
DO - 10.1023/A:1013201631587
M3 - Article
AN - SCOPUS:0035353616
VL - 9
SP - 153
EP - 163
JO - Journal of Materials Synthesis and Processing
JF - Journal of Materials Synthesis and Processing
SN - 1064-7562
IS - 3
ER -