Abstract
Unsteady motions of 3-dimensional reactive flows have been simulated to investigate the hydrodynamic effects and the diffusive-thermal effects on the flame instability. The numerical model includes compressibility, viscosity, heat conduction, molecular diffusion, chemical reaction, and convection. We have numerically shown that the infinitesimal disturbance on the plane flame grows exponentially in time, and obtained the growth rate of disturbance depending on the absolute value of the wave-number vector. The result of the simulation of 3-dimensional flow is in very good agreement with that of 2-dimensional flow. Moreover, the 3-dimensional cellular structure of the flame front has been reproduced in the simulation. The spacing between cells in cellular flames is closely related with the characteristic wavelength of disturbance.
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