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
N1 - Funding Information:
The present work was supported by the High-Tech Research Center (HRC) of Ryukoku University. Results of the present research were obtained when the first and third authors studied in the HRC as postdoctoral fellows. The authors acknowledge the Grant-in-Aid for Scientific Research (Grant No. 12440032, 12740062, and 12304006).
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
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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 -