On the wake in the low-Reynolds-number flow behind an impulsively started circular cylinder
Abstract
This analysis completes the authors' singular perturbations type of solution of the title problem, when the cylinder acquires instantaneously a uniform velocity. As reported the solution consists of three expansions which represent the flow in three different space-time subdomains. It is shown here that there exists a fourth subdomain. An appropriate additional expansion is developed and matched with the other three. This latter expansion represents the flow late in the process in a wake region. This wake extends all the way downstream to infinity. Its width is comparable to the diameter of the obstacle.
- Publication:
-
Journal of Engineering Mathematics
- Pub Date:
- March 1984
- DOI:
- 10.1007/BF00042894
- Bibcode:
- 1984JEnMa..18....1B
- Keywords:
-
- Circular Cylinders;
- Fluid Dynamics;
- Low Reynolds Number;
- Perturbation Theory;
- Wakes;
- Expansion;
- Flow Distortion;
- Flow Equations;
- Laplace Transformation;
- Fluid Mechanics and Heat Transfer