On the equations for the movement and deformation of a reaction front
On the equations for the movement and deformation of a reaction front
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关于反应前沿的运动和变形方程
DOI：
10.1007/bf00250775
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发表时间：
1972
影响因子：
2.5
通讯作者：
R. Aris
中科院分区：
文献类型：
--
作者：
R. H. Knapp;R. Aris
摘要当氧化剂必须通过灰烬扩散到达反应区并且那里产生的热量必须通过燃料或灰烬传导走时，导出了燃烧界面运动的方程。由于兴趣集中在平面界面的小扰动是否会消失或是否会发展为更深的扰动，因此选择运动界面及其运动特征线作为正交坐标网络。针对凹坑的情况简化了所得方程，并针对其在中心线上的曲率获得了方程。方程的物理解释和一些计算结果表明，在大多数情况下，韧窝可能会变平，并且得出的结论是，已发现的深凹坑更可能是由局部不均匀性或稳态之间的过渡引起的。
SummaryThe equations for the movement of a burning interface are derived when the oxidant has to diffuse through a mantle of ash to reach the reaction zone and the heat generated there must be conducted away either through the fuel or the ash. Since interest centres on whether a small perturbation of the plane interface will disappear or whether it will develop into a deeper perturbation, the moving interface and the characteristic lines of its motion are chosen as an orthogonal coordinate network. The resulting equations are simplified for the case of a dimple and an equation obtained for its curvature on the centreline. The physical interpretation of the equations and results of some calculation suggest that in most cases the dimple is likely to flatten out and it is concluded that the deep pits that have been found are more likely to be caused by local inhomogeneities or transitions between steady states.