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首页> 外文期刊>Acta Ciencia Indica >THE STEADY FLOW OF A VISCOUS INCOMPRESSIBLE FLUID THROUGH A ROTATING POROUS ANNULUS IN THE PRESENCE OF SUCTION/INJECTION AT THE CIRCULAR BOUNDARIES
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THE STEADY FLOW OF A VISCOUS INCOMPRESSIBLE FLUID THROUGH A ROTATING POROUS ANNULUS IN THE PRESENCE OF SUCTION/INJECTION AT THE CIRCULAR BOUNDARIES

机译：在圆形边界处进行抽吸/注入时，粘性不可压缩流体通过旋转的多孔环的稳定流动

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摘要

We consider a highly porous material occupying the annular region between two coaxial infinitely long cylinders. A viscous incompressible fluid fills the porous medium and is initially in a state of rigid rotation together with the medium. The porous annulus is partly of constant permeability (up to some radius) and the rest is of variable permeability, in such a way that the permeability is a continuous function of radius in the entire annulus. The flow has been disturbed by imposing suction/injection at the outer/inner cylindrical boundary respectively. The rate of injection at the inner cylinder is equal to the rate of suction at the outer cylinder. The Brinkman's law has been used to represent the motion in the porous medium. We consider the steady flow corresponding to this problem. An exact analytical solution is obtained in terms of Bessel functions.rnThe manner in which the steady boundary layer gets modified by the presence of a variable permeability has been examined. It has been established that by a careful choice of variable permeability of the medium, the flow can be regulated so as to make the velocity nearly constant in the entire channel except in the boundary layer on the source and the sink. The results are compared with the already existing theories in the case of constant permeability.
机译：我们考虑一种高度多孔的材料，它占据了两个同轴的无限长圆柱之间的环形区域。粘性的不可压缩流体充满了多孔介质，并且最初与介质一起处于刚性旋转的状态。多孔环的一部分具有恒定的渗透率（直至某个半径），其余部分具有可变的渗透率，因此渗透率是整个环隙中半径的连续函数。通过分别在外/内圆柱边界处施加抽吸/注入来扰乱流动。在内筒处的喷射速率等于外筒处的吸入速率。布林克曼定律已被用来表示多孔介质中的运动。我们考虑了与此问题相对应的稳定流量。根据贝塞尔函数获得了一个精确的解析解。研究了通过可变渗透率对稳定边界层进行修改的方法。已经确定，通过仔细选择介质的可变渗透率，可以调节流量，以使除了源和汇的边界层之外的整个通道中的速度几乎恒定。在恒定磁导率的情况下，将结果与现有理论进行了比较。

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