Effect of blockage on critical parameters for flow past a circular cylinder

✍ Scribed by Bhaskar Kumar; Sanjay Mittal

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 564 KB
• Volume: 50
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.1098

✦ Synopsis

The e ect of location of the lateral boundaries, of the computational domain, on the critical parameters for the instability of the ow past a circular cylinder is investigated. Linear stability analysis of the governing equations for incompressible ows is carried out via a stabilized ÿnite element method to predict the primary instability of the wake. The generalized eigenvalue problem resulting from the ÿnite element discretization of the equations is solved using a subspace iteration method to get the most unstable eigenmode. Computations are carried out for a large range of blockage, 0:005 6 D=H 6 0:125, where D is the diameter of the cylinder and H is the lateral width of the domain. A non-monotonic variation of the critical Re with the blockage is observed. It is found that as the blockage increases, the critical Re for the onset of the instability ÿrst decreases and then increases. However, a monotonic increase in the non-dimensional shedding frequency at the onset of instability, with increase in blockage, is observed. The increased blockage damps out the low-frequency modes giving way to higher frequency modes. The blockage is found to play an important role in the scatter in the data for the non-dimensional vortex shedding frequency at the onset of the instability, from various researchers in the past.