Leda M, Lemarchand A, Nowakowski B
Université Pierre et Marie Curie - Paris 6, UMR 7600 LPTMC, F-75005 Paris, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 May;75(5 Pt 2):056304. doi: 10.1103/PhysRevE.75.056304. Epub 2007 May 8.
We consider the propagation of an exothermic chemical front toward an unstable steady state. The hydrodynamic equations are solved numerically for increasing values of the activation energy of the reaction which controls the reaction front speed. For a large speed, the marginal stability criterion of the isothermal case is recovered. For a small speed, we observe two well-separated traveling waves: a heat front is preceding the reaction front. We find analytically a forbidden speed interval where the hydrodynamical system does not admit stationary traveling solutions.
我们考虑放热化学前沿向不稳定稳态的传播。针对控制反应前沿速度的反应活化能不断增大的情况，对流体动力学方程进行了数值求解。对于较大速度，恢复了等温情况的边际稳定性判据。对于较小速度，我们观察到两个明显分离的行波：热前沿先于反应前沿。我们通过解析发现了一个禁止速度区间，在该区间内流体动力学系统不允许存在稳态行波解。
