Burgers flow past an arbitrary ellipse
Abstract
The twodimensional steady flow past an ellipse of arbitrary aspect ratio is investigated analytically, applying a linearized version of the NavierStokes 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 boundarylayer 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;
 NavierStokes 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