STOKES-FLOW IN ARBITRARY TWO-DIMENSIONAL DOMAINS - SHEAR-FLOW OVER RIDGES AND CAVITIES
STOKES-FLOW IN ARBITRARY TWO-DIMENSIONAL DOMAINS - SHEAR-FLOW OVER RIDGES AND CAVITIES
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DOI：
10.1017/s0022112085003172
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发表时间：
1985-01-01
影响因子：
3.7
通讯作者：
HIGDON, JJL
中科院分区：
文献类型：
--
作者：
HIGDON, JJL
本文提出了一种求解任意二维区域内Stokes流积分方程的方法。结果表明，边界积分方法提供了一个准确的，有效的和易于实现的战略解决斯托克斯流问题。计算简单的剪切流在各种几何形状，包括圆柱形和矩形，脊和空腔。流场的完整描述，包括流线型，速度剖面和剪切应力分布沿着固体表面。结果进行了讨论，特别是在低雷诺数流动的对流输送过程。
A method is described for solving the integral equations governing Stokes flow in arbitrary two-dimensional domains. It is demonstrated that the boundary-integral method provides an accurate, efficient and easy-to-implement strategy for the solution of Stokes-flow problems. Calculations are presented for simple shear flow in a variety of geometries including cylindrical and rectangular, ridges and cavities. A full description of the flow field is presented including streamline patterns, velocity profiles and shear-stress distributions along the solid surfaces. The results are discussed with special relevance to convective transport processes in low-Reynolds-number flows.