Symmetrical flow past an accelerated circular cylinder

The development of the two-dimensional flow of a viscous incompressible fluid around a circular cylinder which suddenly starts to move with the velocity U = U0 + U1t + U2t2 is studied. Equations for the flow in terms of the stream function and vorticity in boundary-layer coordinates are presented. A...

Full description

Saved in:
Bibliographic Details
Published in:Journal of fluid mechanics 1996-02, Vol.308, p.97-110
Main Authors: Badr, H. M., Dennis, S. C. R., Kocabiyik, S.
Format: Article
Language:English
Subjects:
Boundary layers
Cylinders (shapes)
Equations of motion
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Integration
Laminar flows
Low-reynolds-number (creeping) flows
Mathematical models
Numerical methods
Perturbation techniques
Physics
Reynolds number
Velocity
Viscous flow
Vortex flow
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The development of the two-dimensional flow of a viscous incompressible fluid around a circular cylinder which suddenly starts to move with the velocity U = U0 + U1t + U2t2 is studied. Equations for the flow in terms of the stream function and vorticity in boundary-layer coordinates are presented. A perturbation series solution for small times is developed. The flow for longer times is computed numerically using an accurate implicit time-integration procedure. The numerical method is checked for small times by comparison with the results of the analytical solution. Reynolds numbers R in the range 200 to 104 (based on the diameter of the cylinder) are considered. One particularly interesting result is that for certain values of U1 and U2 at R = 500 and R = 103 it is found that two co-rotating vortices and three co-rotating vortices develop with time in each half of the wake in the two respective cases.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112096001401