On the wake in the lowReynoldsnumber 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 spacetime 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;
 Mathematical Modeling;
 Industrial Mathematic;
 Circular Cylinder;
 Singular Perturbation;
 Wake Region