Travnikov OY, Bychkov VV, Liberman MA
Department of Physics, Uppsala University, Box 530, SE-751 21 Uppsala, Sweden.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Jan;61(1):468-74. doi: 10.1103/physreve.61.468.
Flame dynamics in wide tubes with ideally adiabatical and slip walls is studied by means of direct numerical simulations of the complete set of hydrodynamical equations including thermal conduction, fuel diffusion, viscosity, and chemical kinetics. Stability limits of curved stationary flames in wide tubes and the hydrodynamic instability of these flames (the secondary Darrieus-Landau instability) are investigated. The stability limits found in the present numerical simulations are in a very good agreement with the previous theoretical predictions. It is obtained that close to the stability limits the secondary Darrieus-Landau instability results in an extra cusp at the flame front. It is shown that the curved flames subject to the secondary Darrieus-Landau instability propagate with velocity considerably larger than the velocity of the stationary flames.
通过对包括热传导、燃料扩散、粘性和化学动力学在内的完整流体动力学方程组进行直接数值模拟，研究了具有理想绝热壁和滑移壁的宽管中的火焰动力学。研究了宽管中弯曲静止火焰的稳定性极限以及这些火焰的流体动力学不稳定性（二次达里厄斯 - 朗道不稳定性）。在当前数值模拟中发现的稳定性极限与先前的理论预测非常吻合。结果表明，在接近稳定性极限时，二次达里厄斯 - 朗道不稳定性会在火焰前沿产生一个额外的尖点。结果表明，受到二次达里厄斯 - 朗道不稳定性影响的弯曲火焰传播速度比静止火焰的速度大得多。
