Numerical study on the instability of premixed plane flames in the three-dimensional field

✍ Scribed by Satoshi Kadowaki

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 728 KB
• Volume: 17
• Category: Article
• ISSN: 0142-727X
• DOI: 10.1016/s0142-727x(96)00066-5

✦ Synopsis

The instability of premixed plane flames in the three-dimensional (3-D) field is investigated by means of the numerical simulation. We show numerically that infinitesimal disturbances superimposed on the flames grow exponentially with time, as predicted in the linear analysis, and obtain the growth rates of disturbances depending on the absolute values of the wave-number vectors. The growth rates of the 3-D flames are consistent with those of the two-dimensional (2-D) flames. The hydrodynamic effect has a destabilizing influence on the instability of flames, and the diffusive-thermal effect has a destabilizing/ stabilizing influence for Le < 1/Le > 1. Moreover, we produce the hexagonal cellular structure of the flame front not only for Le < 1 but also for Le > 1, where the spacing between cells in flames for Le < 1 is small compared to that for Le > 1. The spacing of the 3-D flames is 2/yrff times as long as the cell size of the 2-D flames.