Axisymmetric shear flow over spheres and spheroids
Abstract
Analytical solutions for an inviscid, incompressible, axisymmetric shear flow over a sphere are established. It is determined that if the shear is sufficiently large with respect to the axis velocity, then a recirculating stagnation region is formed. Solutions for prolate and oblate spheroids exhibit the same flow field characteristics as for the sphere. Stagnation bubble formation is delayed on the prolate spheroids and promoted on the oblate spheroids. These results are related to those for the two-dimensional shear flow over cylinders analyzed by Tsien (1943) and Fraenkel (1961).
- Publication:
-
AIAA, 18th Fluid Dynamics and Plasmadynamics and Lasers Conference
- Pub Date:
- July 1985
- Bibcode:
- 1985fdpd.confR....R
- Keywords:
-
- Axisymmetric Flow;
- Flow Deflection;
- Flow Visualization;
- Prolate Spheroids;
- Shear Flow;
- Spheres;
- Bubbles;
- Computational Fluid Dynamics;
- Incompressible Flow;
- Inviscid Flow;
- Oblate Spheroids;
- Recirculative Fluid Flow;
- Stagnation Point;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer