### 抄録

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.

元の言語 | English |
---|---|

ページ（範囲） | 153-163 |

ページ数 | 11 |

ジャーナル | Journal of Materials Synthesis and Processing |

巻 | 9 |

発行部数 | 3 |

DOI | |

出版物ステータス | Published - 2001 5 |

外部発表 | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Materials Science(all)

### これを引用

*Journal of Materials Synthesis and Processing*,

*9*(3), 153-163. https://doi.org/10.1023/A:1013201631587

**Three-dimensional numerical simulation of helically propagating combustion waves.** / Nagayama, Masaharu; Ikeda, Tsutomu; Ishiwata, Tetsuya; Tamura, Norikazu; Ohyanagi, Manshi.

研究成果: Article

*Journal of Materials Synthesis and Processing*, 巻. 9, 番号 3, pp. 153-163. https://doi.org/10.1023/A:1013201631587

}

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 -