AN INVESTIGATION ON THE LAMINAR FLOW AROUND THE TRAILING EDGE OF A FLAT PLATE.
CALIFORNIA UNIV BERKELEY DIV OF AERONAUTICAL SCIENCES
Pagination or Media Count:
Studies of the incompressible fluid motion around a two-dimensional flat plate aligned parallel to the oncoming free stream are thoroughly reviewed and extended. Emphasis is placed on the detailed study of the fluid motion in the neighborhood of the trailing edge. A modified Oseen linearization is used to simplify the Navier-Stokes momentum equations and the stream function equation. These equations are then solved by the Wiener-Hopf technique. The solution of the momentum equations confirms the existence of a singularity at the trailing edge, and the distribution of shear stress on the plate is in agreement with a recent numerical solution. The stream function equation, however, is only formally solved. Finally, an iterative procedure is proposed to solve the viscous fluid motion around an arbitrary two-dimensional finite object. Specifically, the full Navier-Stokes equations are written in the form of inhomogeneous Oseen equations and higher orders of the asymptotic stream function are then determined by solving the inhomogeneous equations with lower order terms substituted in the inhomogeneous part of each of the equations. Greens function is found for the Oseen operator, but no specific example is given in the study. Author
- Fluid Mechanics