Shear-driven flow between a rotating cylinder and a stationary elliptical enclosure is studied in this paper. The two-dimensional time-dependent Navier Stokes equations are solved using a meshless method where interpolations are done with Polyharmonic Spline Radial Basis Functions (PHS-RBF). The fluid flow is analyzed for various aspect ratios of the ellipse and eccentric placements of the inner cylinder. Contour plots of vorticity with streamlines, plots of non-dimensional torque, and the angle of eye of the primary vortex are presented in the paper for Reynolds numbers between 200 to 2000. Formation of Moffat like vortices in the wide-gap region of the model is observed and some benchmark data are provided for various cases that are simulated.
翻译:本文研究了旋转圆柱体与固定的椭圆圈之间的切动流。二维时间依存的纳维埃斯托克斯方程式采用无孔不入的方法解决,在这种方法下,对多调相线辐射基函数(PHS-RBF)进行干涉。对流体流进行了内部圆柱体的椭圆和偏心位置的不同比例分析。圆柱体的园艺图层有精简、非维陶石块和主要旋涡的眼角,在2000年至2000年期间的Reynolds数字的论文中作了介绍。观察了模型宽宽宽区域中Moffat等浮壳的形成情况,并为模拟的各种情况提供了一些基准数据。