A Solution for the Flow Between a Cone and a Plate at Low Reynolds Number

作     者：Matthias H.Buschmann 

作者机构：Institute of Fluid Mechanics Dresden University of Technology 

出 版 物：《Journal of Thermal Science》 (热科学学报（英文版）)

年 卷 期：2002年第11卷第4期

页      面：289-295页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

主　　题：cone-plate-apparatus three-dimensional laminar flow asymptotic expansion. 

摘      要：An analysis of the flow in the gap between a rotating cone and a stationary plate at low Reynolds numbers is presented. Using series expansions for the components of the mean velocity profile and the pressure gradient the Navier-Stokes equations and the continuity equation for a Newtonian fluid written in cylindrical coordinates are solved. It is found that the solution is stable and convergent for the local Reynolds numbers Re smaller than 1.2928. The computed angle of the wall streamlines is found to be in good agreement with experimental data.