Burgers flow past an arbitrary ellipse
Abstract
The two-dimensional steady flow past an ellipse of arbitrary aspect ratio is investigated analytically, applying a linearized version of the Navier-Stokes equation based on the approximation of Burgers (1928). The resulting infinite system of linear equations is truncated to give reliable results for Reynolds numbers between zero and five, and separation, drag, and boundary-layer phenomena are characterized and illustrated with graphs. The Burgers approximation is found to provide good qualitative results near the ellipse, with reasonable quantitative accuracy for the special case of a circular cylinder.
- Publication:
-
Quarterly of Applied Mathematics
- Pub Date:
- January 1985
- Bibcode:
- 1985QApMa..42..497D
- Keywords:
-
- Burger Equation;
- Computational Fluid Dynamics;
- Ellipses;
- Low Reynolds Number;
- Navier-Stokes Equation;
- Separated Flow;
- Two Dimensional Flow;
- Vorticity Equations;
- Aerodynamic Drag;
- Boundary Layer Flow;
- Circular Cylinders;
- Flow Velocity;
- Linearization;
- Steady Flow;
- Fluid Mechanics and Heat Transfer