【摘要】 本文采用轴对称情形下内外Stokes流动的Sampson级数解求出了有渗入渗出情形下轴对称拉伸流动绕圆球壳流动时壳内壳外流动的准确解。该准确解表达式简单且为有限形式。对该解进行分析表明,渗透对外流几乎不发生作用,但对内流影响显著。文中详细分析了流线谱,流入球壳的总流量以及内流的速度分布及压力分布,揭示了球壳内部的一些流动现象。更多还原

【Abstract】 This paper deals with the axisymmetric stretching Stokes flow around the sphere shell with filtration. Utilizing the Sampson series solution of the axisymmetric outer and inner Stokes flow tie exact solution is obtained for the Stokes flow within and outside the sphere shell. The expressions of the exact solution are simple and closed in the form. The results show that the outer flow is almost unaffected by the filtration, but it does influence the inner flow considerably. The streamline pattern, the total flux filtrated into the semisphere shell and the velocity, pressure distribution for the inner flow are analysed in detail. Some inner flow phenomena are revealed.更多还原