The Effect of Permeability on the Drag of a Porous Sphere in a Uniform Stream
The Effect of Permeability on the Drag of a Porous Sphere in a Uniform Stream
复制标题
渗透率对均匀流中多孔球阻力的影响
DOI：
--
复制
发表时间：
1971
期刊：
影响因子：
--
通讯作者：
J. L. Gupta
中科院分区：
文献类型：
--
作者：
M. Singh;J. L. Gupta
本文研究了渗透率对多孔球在低雷诺数下均匀入射流中流动阻力系数的影响。这个问题是用描述球体外部流动的完整的纳威-斯托克斯方程来描述的，而达西定律控制着球体内部的流动。然后，用三个同时展开的匹配渐近展开式的方法来求解，直到一个阶Re。结果表明，孔隙率对阻力的影响是使球体的有效半径a减小一个系数(1+k‘/2a2)−1，其中k’是渗透率。
The present investigation is concerned with the problem of studying the effect of permeability on drag coefficient for the flow past a porous sphere placed in an otherwise uniform incident stream at low Reynolds number. The problem is formulated using the full Navier-Stokes equations describing the flow outside the sphere while Darcy's law governs the flow inside the sphere. The solution is, then, sought by the method of matched asymptotic expansions involving three simultaneous expansions up to an order Re. It is found that the effect of porosity on the drag is that it reduces the effective radius a of the sphere by a factor (1 + k'/2a2)−1, where k' is the permeability.