ANALYSIS OF FLOW IN A CONCENTRIC CYLINDRICAL VESSEL USING STREAM AND VORTICITY FUNCTION

摘要

This paper reports the numerical results of flow in a concentric cylindrical vessel. Velocity plots are shown to illustrate the swirling cylinder flow inside the cylinder having free surface on top and constant rotating bottom wall. The analysis is carried out axisym metric using Stream function and Vorticity method by writing Navier-Stokes equation and continuity equation in cylindrical coordinates in form of stream functions and azimuthal vorticity components eliminating the pressure component. Using Finite Difference Schemes, modified Navier-Stokes equation and continuity equations are solved by explicit methods. No-slip boundary condition is assumed at wall to minimize the discontinuity. Vortex formation is shown using contour plots and variation in Reynolds number and dimensions are considered as variable for the system. As the Reynolds number is increased the system undergoes vortex breakdown. Result clearly indicates the formation of another vortex near the free surface illustrating the phenomena of vortex breakdown. Effect of aspect ratio in the nature flow is also shown in the paper. Comparison of numerically achieved results and experimental results are done for validation.