Stokes how due to infinite arrays of stokeslets in three dimensions

Stokes how due to infinite arrays of stokeslets in three dimensions
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DOI:
10.1007/bf00118835
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发表时间:
1996-03-01
影响因子:
1.3
通讯作者:
Liron, N
Liron, N
中科院分区:
工程技术4区
文献类型:
--
作者:
Liron, N

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通过得到各种快速收敛的无穷级数,总结出三维空间中的无穷小斯托克斯波周期阵列。这里处理的三种情况是:1。相同的stokeslets以恒定的间隔分布在平行于板的线上,2。在平行于板的平面上的二维周期性晶格上分布的相同的stokeslets的阵列,3。同样的阵列,但平行于两块板,并在两块板之间。计算结果显示,并与以前的平均表达式进行比较。
Infinite periodic arrays of stokeslets in three dimensions are summed up by obtaining various rapidly converging infinite series. The three cases treated here are: 1. Identical stokeslets distributed at constant intervals on a line parallel to a plate, 2. An array of identical stokeslets distributed on a two-dimensional periodic lattice on a plane parallel to a plate, 3. The same array, but parallel to and in between two plates. Computational results are shown and comparisons with previously averaged expressions are made.