A note on a boundary-layer collision on a rotating sphere
Abstract
A recent study of the unsteady boundary layer near the equator of a spinning sphere provided strong numerical evidence that the solution develops a singularity a finite time after the motion is initiated. In this paper we reformulate and complete the asymptotic structure proposed to describe this singularity. It is then self-consistent and provides convincing evidence of the accuracy of the computations and of the existence of the singularity.
- Publication:
-
Zeitschrift Angewandte Mathematik und Physik
- Pub Date:
- May 1982
- DOI:
- 10.1007/BF00944445
- Bibcode:
- 1982ZaMP...33..370S
- Keywords:
-
- Asymptotic Methods;
- Boundary Layer Flow;
- Computational Fluid Dynamics;
- Rotating Spheres;
- Unsteady Flow;
- Angular Velocity;
- Flow Velocity;
- Singularity (Mathematics);
- Spherical Coordinates;
- Fluid Mechanics and Heat Transfer;
- Boundary Layer;
- Mathematical Method;
- Convincing Evidence;
- Finite Time;
- Starke