Burgers approximation for twodimensional flow past an ellipse
Abstract
A linearization of the NavierStokes equation due to Burgers in which vorticity is transported by the velocity field corresponding to continuous potential flow is examined. The governing equations are solved exactly for the two dimensional steady flow past an ellipse of arbitrary aspect ratio. The requirement of no slip along the surface of the ellipse results in an infinite algebraic system of linear equations for coefficients appearing in the solution. The system is truncated at a point which gives reliable results for Reynolds numbers R in the range 0 R 5. Predictions of the Burgers approximation regarding separation, drag and boundary layer behavior are investigated. In particular, Burgers linearization gives drag coefficients which are closer to observed experimental values than those obtained from Oseen's approximation. In the special case of flow past a circular cylinder, Burgers approximation predicts a boundary layer whose thickness is roughly proportional to R1/2.
 Publication:

Final Report
 Pub Date:
 July 1982
 Bibcode:
 1982odu..reptR....D
 Keywords:

 Ellipses;
 Potential Flow;
 Two Dimensional Flow;
 Velocity Distribution;
 Vorticity;
 Aspect Ratio;
 Burger Equation;
 NavierStokes Equation;
 Reynolds Number;
 Steady Flow;
 Fluid Mechanics and Heat Transfer