The combustion of a linear droplet array in a convective, coaxial potential flow
The combustion of a linear droplet array in a convective, coaxial potential flow
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对流同轴势流中线性液滴阵列的燃烧
DOI：
10.1016/0010-2180(91)90099-w
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发表时间：
1991
影响因子：
4.4
通讯作者：
A. Sterling
中科院分区：
文献类型：
--
作者：
J. Tsai;A. Sterling
介绍了一种描述强迫对流和液滴-液滴相互作用对一维液滴阵列燃速影响的有效数值格式。流场由叠加在均匀的同轴势流上的点源(或汇)描述。源(或汇)的强度由液滴表面的质量和热守恒边界条件确定。得到的流场被用来求解能量守恒方程和物种守恒方程，这些方程首先被转换到广义坐标系，以便计算可以在任何网格系统中进行。在本研究中，使用改进的复合贴体网格通过迭代有限差分方法来求解方程，以获得温度(或浓度场)场。研究了Peclet数从10到120的等尺寸液滴对，间距从4到16半径。计算了液滴阵列周围的温度分布以及液滴表面的局部努塞尔数。计算结果与文献中类似的传热传质分析结果定性一致。还研究了两个大小不等的液滴和多达六个大小相等的液滴阵列。这种处理流场的简单方法允许将计算扩展到具有大量液滴的线性阵列。数值格式具有良好的收敛特性，所采用的复合网格也可用于更精确的粘性流动计算。
An efficient numerical scheme is introduced to describe the effects of forced convection and droplet-droplet interactions on the burning rate of a one-dimensional droplet array. The flow field is described by point sources (or sinks) superimposed on a uniform, coaxial potential flow. The strengths of the sources (or sinks) are found from the mass and heat conservation boundary conditions at the droplet surface. The resulting flow field is then used to solve the energy and species conservation equations, which are first transformed to a generalized coordinate system so that the computations can be carried out in any grid system. In this study, an improved, composite, body-fitted grid was used to solve the equations by an iterative, finite difference method to obtain the temperature (or concentration) field. Droplet pairs of equal sizes with spacings from 4 to 16 radii have been investigated for Peclet numbers from 10 to 120. The temperature distribution around the droplet array, as well as the local Nusselt number around the droplet surfaces, has been calculated. The results show qualitative agreement with analogous heat and mass transfer analyses that have appeared in the literature. Two droplets of unequal sizes and an array of up to six equal sized droplets have also been studied. This simple approach for treating the flow field allows the computation to be extended to a linear array with a large number of droplets. The numerical scheme has excellent convergence behavior, and the composite grid introduced here can also be used for more accurate, viscous flow calculations.